books tagged “geometry”

books tagged “geometry”

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13 Books of Euclids Elements
by Thomas L. Heath

ISBN 0486600904 (0-486-60090-4)
Softcover, Dover Pubns

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- 13 Books of Euclids Elements: ISBN 0486600904 (0-486-60090-4)
  Softcover, Dover Pubns
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Algebraic Geometry
by Robin Hartshorne

ISBN 0387902449 (0-387-90244-9)
Hardcover, Springer Verlag

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Book summary:
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles. [via]
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- Algebraic Geometry: ISBN 0387902449 (0-387-90244-9)
  Hardcover, Springer Verlag
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The Annotated Flatland: A Romance of Many Dimensions
by Ian Stewart, Edwin Abbott Abbott

ISBN 0738205419 (0-7382-0541-9)
Hardcover, Perseus Books Group

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Book summary:
The product of an agreeably dotty cleric named Edwin Abbott Abbott and first published in 1884, Flatland distills all that the Victorian era knew of higher mathematics--and then some--into a witty, complex novel of ideas.
Ian Stewart, the author of the equally witty sequel, Flatterland--which adds to Abbott's store of science the key discoveries made since--does a superb job of explaining the original book's enigmas, allusions, ironies, implausibilities, and what Douglas Hofstadter would call "metamagical themas." Among other things, Stewart comments on Abbott's comments on such things as the nature/nurture controversy, the fourth dimension and beyond, the role of multidimensional spaces in economic systems, infinite series and perfect squares, celestial mechanics, and other matters close to the hearts of cosmologists and science buffs alike.
Stewart's notes make an entertaining and learned addition to an already classic bit of writing--one that has never been out of print since its first publication. For both devoted Abbott fans and newcomers to his work, this is the edition to have. --Gregory McNamee [via]
More editions of The Annotated Flatland: A Romance of Many Dimensions:
- The Annotated Flatland: A Romance of Many Dimensions: ISBN 0738205419 (0-7382-0541-9)
  Hardcover, Perseus Books Group
Art and Geometry a Study in Space Intuitions
by William Ivins

ISBN 0486209415 (0-486-20941-5)
Softcover, Dover Pubns

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- Art and Geometry a Study in Space Intuitions: ISBN 0486209415 (0-486-20941-5)
  Softcover, Dover Pubns
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A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
by Michael Schneider

ISBN 0060926716 (0-06-092671-6)
Softcover, Perennial

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Book summary:
The Universe May Be a Mystery,
But It's No Secret
Michael Schneider leads us on a spectacular, lavishly illustrated journey along the numbers one through ten to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you:
- Why cans, pizza, and manhole covers are round.
- Why one and two weren't considered numbers by the ancient Greeks.
- Why squares show up so often in goddess art and board games.
- What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies.
- How the human body shares the design of a bean plant and the solar system.
- How a snowflake is like Stonehenge, and a beehive like a calendar.
- How our ten fingers hold the secrets of both a lobster and a cathedral.
- And much more.
[via]
More editions of A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science:
- A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science: ISBN 0060169397 (0-06-016939-7)
  Hardcover, Harpercollins
- A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science: ISBN 0060926716 (0-06-092671-6)
  Softcover, Perennial
Calculus and Analytic Geometry
by George B. Thomas, Ross L. Finney

ISBN 0201441039 (0-201-44103-9)
Hardcover, Addison-Wesley

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Book summary:
George Thomas' clear, precise calculus text with superior applications defined the modern-day, three-semester or four-quarter calculus course. The ninth edition of this proven text has been carefully revised to give students the solid base of material they will need to succeed in math, science, and engineering programs. This edition includes recent innovations in teaching and learning that involve technology, projects, and group work. [via]
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Calculus and Analytic Geometry: Alternate Edition
by Ross L. Finney, George D. Thomas

ISBN 0321193636 (0-321-19363-6)
Hardcover, Addison-Wesley

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Book summary:
George Thomas' clear precise calculus text with superior applications defined the modern-day calculus course. This proven text gives students the solid base of material they will need to succeed in math, science, and engineering programs. [via]
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- Calculus and Analytic Geometry: Alternate Edition: ISBN 0321193636 (0-321-19363-6)
  Hardcover, Addison-Wesley
Comprehensive Introduction to Differential Geometry
by Michael Spivak

ISBN 0914098705 (0-914098-70-5)
Hardcover, Publish or Perish, inc.

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Computational Geometry : Algorithms and Applications
by Mark de Berg, Marc Van Kreveld, Mark Overmars, Otfried Schwarzkopf

ISBN 3540656200 (3-540-65620-0)
Hardcover, Springer

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Book summary:
This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In the second edition, besides revisions to the first edition, a number of new exercises have been added. [via]
More editions of Computational Geometry : Algorithms and Applications:
- Computational Geometry : Algorithms and Applications: ISBN 3540656200 (3-540-65620-0)
  Hardcover, Springer
Computational Geometry: Algorithms and Applications
by Mark Overmars, Otfried Schwarzkopf, Marc Van Kreveld, Mark De Berg

ISBN 354061270X (3-540-61270-X)
Hardcover, Springer Verlag

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- Computational Geometry: Algorithms and Applications: ISBN 354061270X (3-540-61270-X)
  Hardcover, Springer Verlag
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Differential Geometry
by Erwin Kreyszig

ISBN 0486667219 (0-486-66721-9)
Softcover, Dover Pubns

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Book summary:
An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form, but with many explanatory details, figures, and examples, and in a manner that conveys the theoretical and practical importance of the different concepts, methods, and results involved. With problems and solutions. Includes 99 illustrations.
[via]
More editions of Differential Geometry:
- Differential Geometry: ISBN 0486667219 (0-486-66721-9)
  Softcover, Dover Pubns
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The Divine Proportion: A Study in Mathematical Beauty
by H.E. Huntley

ISBN 0486222543 (0-486-22254-3)
Softcover, Dover Pubns

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Book summary:
Engaging introduction to that curious feature of mathematics which provides framework for so many structures in biology, chemistry, and the arts. Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more.
[via]
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- The Divine Proportion: A Study in Mathematical Beauty: ISBN 0486222543 (0-486-22254-3)
  Softcover, Dover Pubns
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The Dot and the Line
by Norton Juster

ISBN 1587170663 (1-58717-066-3)
Hardcover, Seastar Books

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Book summary:
Hardcover book, with dust jacket, 2001. [via]
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- The Dot and the Line: ISBN 1587170663 (1-58717-066-3)
  Hardcover, Seastar Books
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
by Leonard Mlodinow

ISBN 0684865246 (0-684-86524-6)
Softcover, Free Pr

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Book summary:
In his charming mathematical history, Euclid's Window Leonard Mlodinow asks "How do you know where you are?" This question and others about space and time grew out of simple observations of the environment by a select group of thinkers whose lives and brains Mlodinow dissects. Starting with Euclid geometry has flowed out over the centuries describing the universe and, Mlodinow argues, making modern civilization possible.
This is not just a history of geometry--it's a timeline of reason and abstraction, with all the major players present: Euclid, Descartes, Gauss, Einstein and Witten, each represented by a mini-biography.
Lots of examples pepper the narrative to help readers achieve their own "eureka!" And it's impossible not to be staggered at the mathematical feats of these geniuses, accomplished as many of them were in the absence of anything but observation and intense thought. Each story builds satisfactorily upon the last until at the end of this delightful book one has a sense of having climbed a peak of understanding.
A working knowledge of basic geometry is helpful but not essential for enjoying Euclid's Window, and Mlodinow's chatty style lends itself remarkably well to explaining these deep and revolutionary concepts. --Adam Fisher [via]
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Euclidean and Non-Euclidean Geometries: Development and History
by Marvin Jay Greenberg

ISBN 0716724464 (0-7167-2446-4)
Hardcover, W H Freeman & Co

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Book summary:
Euclidean and Non-Euclidean Geometries presents the discovery of non-Euclidean geometry and the reformulation of the foundations of Euclidean geometry. [via]
More editions of Euclidean and Non-Euclidean Geometries: Development and History:
- Euclidean and Non-Euclidean Geometries: Development and History: ISBN 0716711036 (0-7167-1103-6)
  Hardcover, W. H. Freeman
- Euclidean and Non-Euclidean Geometries: Development and History: ISBN 0716724464 (0-7167-2446-4)
  Hardcover, W H Freeman & Co
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Euclids Elements
by Euclid, Dana Densmore

ISBN 1888009195 (1-888009-19-5)
Softcover, Green Lion Pr

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Book summary:
Green Lion Press has prepared a new one-volume edition of T.L. Heath's translation of the thirteen books of Euclid's "Elements" In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Green terms. [via]
More editions of Euclids Elements:
- Euclids Elements: ISBN 1888009195 (1-888009-19-5)
  Softcover, Green Lion Pr
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Flatland
by Edwin Abbott Abbott

ISBN 1406503436 (1-4065-0343-6)
Softcover, Dodo Pr

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Book summary:
Flatland is one of the very few novels about math and philosophy that can appeal to almost any layperson. Published in 1880, this short fantasy takes us to a completely flat world of two physical dimensions where all the inhabitants are geometric shapes, and who think the planar world of length and width that they know is all there is. But one inhabitant discovers the existence of a third physical dimension, enabling him to finally grasp the concept of a fourth dimension. Watching our Flatland narrator, we begin to get an idea of the limitations of our own assumptions about reality, and we start to learn how to think about the confusing problem of higher dimensions. The book is also quite a funny satire on society and class distinctions of Victorian England. [via]
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Flatland : A Romance of Many Dimensions
by Edwin A. Abbot

ISBN 1419120026 (1-4191-2002-6)
Softcover, Kessinger Pub Co

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Book summary:
Flatland is one of the very few novels about math and philosophy that can appeal to almost any layperson. Published in 1880, this short fantasy takes us to a completely flat world of two physical dimensions where all the inhabitants are geometric shapes, and who think the planar world of length and width that they know is all there is. But one inhabitant discovers the existence of a third physical dimension, enabling him to finally grasp the concept of a fourth dimension. Watching our Flatland narrator, we begin to get an idea of the limitations of our own assumptions about reality, and we start to learn how to think about the confusing problem of higher dimensions. The book is also quite a funny satire on society and class distinctions of Victorian England. [via]
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Flatland
by A. Square

ISBN 1883938775 (1-883938-77-5)
Softcover, Dry Bones Pr

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- Flatland: ISBN 1883938775 (1-883938-77-5)
  Softcover, Dry Bones Pr
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Flatland: A Journey of Many Dimensions
by Edwin A. Abbott, Dionys Burger

ISBN 0062732765 (0-06-273276-5)
Softcover, Harper Resource

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Book summary:
Unless you're a mathematician, the chances of you reading any novels about geometry are probably slender. But if you read only two in your life, these are the ones. Taken together, they form a couple of accessible and charming explanations of geometry and physics for the curious non-mathematician. Flatland, which is also available under separate cover, was published in 1880 and imagines a two-dimensional world inhabited by sentient geometric shapes who think their planar world is all there is. But one Flatlander, a Square, discovers the existence of a third dimension and the limits of his world's assumptions about reality and comes to understand the confusing problem of higher dimensions. The book is also quite a funny satire on society and class distinctions of Victorian England. The further mathematical fantasy, Sphereland, published 60 years later, revisits the world of Flatland in time to explore the mind-bending theories created by Albert Einstein, whose work so completely altered the scientific understanding of space, time, and matter. Among Einstein's many challenges to common sense were the ideas of curved space, an expanding universe and the fact that light does not travel in a straight line. Without use of the mathematical formulae that bar most non-scientists from an understanding of Einstein's theories, Sphereland gives lay readers ways to start comprehending these confusing but fundamental questions of our reality. [via]
More editions of Flatland: A Journey of Many Dimensions:
- Flatland: A Journey of Many Dimensions: ISBN 0062732765 (0-06-273276-5)
  Softcover, Harper Resource
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Flatterland
by Ian Stewart

ISBN 073820675X (0-7382-0675-X)
Softcover, Basic Books

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Book summary:
In 1884, an amiably eccentric clergyman and literary scholar named Edwin Abbott Abbott published an odd philosophical novel called Flatland, in which he explored such things as four-dimensional mathematics and gently satirized some of the orthodoxies of his time. The book went on to be a bestseller in Victorian England, and it has remained in print ever since.
With Flatterland, Ian Stewart, an amiable professor of mathematics at the University of Warwick, updates the science of Flatland, adding literally countless dimensions to Abbott's scheme of things ("Your world has not just four dimensions," one of his characters proclaims, "but five, fifty, a million, or even an infinity of them! And none of them need be time. Space of a hundred and one dimensions is just as real as a space of three dimensions"). Along his fictional path, Stewart touches on Feynman diagrams, superstring theory, time travel, quantum mechanics, and black holes, among many other topics. And, in Abbott's spirit, Stewart pokes fun at our own assumptions, including our quest for a Theory of Everything.
You can't help but be charmed by a book with characters named Superpaws, the Hawk King, the Projective Lion, and the Space Hopper and dotted with doggerel such as "You ain't nothin' but a hadron / nucleifyin' all the time" and "I can't get no / more momentum." And, best of all, you can learn a thing or two about modern mathematics while being roundly entertained. That's no small accomplishment, and one for which Stewart deserves applause. --Gregory McNamee [via]
More editions of Flatterland:
- Flatterland: ISBN 0738204420 (0-7382-0442-0)
  Hardcover, Perseus Books Group
- Flatterland: ISBN 073820675X (0-7382-0675-X)
  Softcover, Basic Books
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Foundations of Geometry
by David Hilbert, Leo Unger

ISBN 0875481647 (0-87548-164-7)
Softcover, Open Court Publishing Company

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Book summary:
Math [via]
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- Foundations of Geometry: ISBN 0875481647 (0-87548-164-7)
  Softcover, Open Court Publishing Company
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Fractal Geometry of Nature
by Benoit Mandelbrot

ISBN 0716711869 (0-7167-1186-9)
Hardcover, W H Freeman & Co

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Book summary:
Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric figure with an infinitely large perimeter, yet with a finite area. This is an example of the kind of mathematical puzzles that this book addresses.
The Fractal Geometry of Nature is a mathematics text. But buried in the deltas and lambdas and integrals, even a layperson can pick out and appreciate Mandelbrot's point: that somewhere in mathematics, there is an explanation for nature. It is not a coincidence that fractal math is so good at generating images of cliffs and shorelines and capillary beds. [via]
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- Fractal Geometry of Nature: ISBN 0716711869 (0-7167-1186-9)
  Hardcover, W H Freeman & Co
Geometry
by Matthew F. Esplen, Jeremy J. Gray, D. A. Brannan

ISBN 0521597870 (0-521-59787-0)
Softcover, Cambridge Univ Pr

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Book summary:
This textbook demonstrates the excitement and beauty of geometry. The approach is that of Klein in his Erlangen program: a geometry is a space together with a set of transformations of that space. The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case they carefully explain key results and discuss the relationship among geometries. This richly illustrated and clearly written text includes full solutions to over 200 problems and is suitable both for undergraduate courses on geometry and as a resource for self study. [via]
More editions of Geometry:
- Geometry: ISBN 0521591937 (0-521-59193-7)
  Hardcover, Cambridge Univ Pr
- Geometry: ISBN 0521597870 (0-521-59787-0)
  Softcover, Cambridge Univ Pr
The Geometry of Art and Life
by Matila Costiescu Ghyka

ISBN 0486235424 (0-486-23542-4)
Softcover, Dover Pubns

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- The Geometry of Art and Life: ISBN 0486235424 (0-486-23542-4)
  Softcover, Dover Pubns
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Geometry of Design: Studies in Proportion and Composition
by Kimberly Elam

ISBN 1568982496 (1-56898-249-6)
Softcover, Princeton Architectural Pr

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Book summary:
At last, a mathematical explanation of how art works presented in a manner we can all understand. Kimberly Elam takes the reader on a geometrical journey, lending insight and coherence to the design process by exploring the visual relationships that have foundations in mathematics as well as the essential qualities of life. Geometry of Design-the first book in our new Design Briefs Series-takes a close look at a broad range of twentieth-century examples of design, architecture, and illustration (from the Barcelona chair to the Musica Viva poster, from the Braun handblender to the Conico kettle), revealing underlying geometric structures in their compositions. Explanations and techniques of visual analysis make the inherent mathematical relationships evident and a must-have for anyone involved in graphic arts. The book focuses not only on the classic systems of proportioning, such as the golden section and root rectangles, but also on less well known proportioning systems such as the Fibonacci Series. Through detailed diagrams these geometric systems are brought to life giving an effective insight into the design process. [via]
More editions of Geometry of Design: Studies in Proportion and Composition:
- Geometry of Design: Studies in Proportion and Composition: ISBN 1568982496 (1-56898-249-6)
  Softcover, Princeton Architectural Pr
The Geometry of Physics: An Introduction
by Theodore Frankel

ISBN 0521539277 (0-521-53927-7)
Softcover, Cambridge Univ Pr

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Book summary:
This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism, thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space; consequently, the book should also be of interest to mathematics students. This book will be useful to graduate and advanced undergraduate students of physics, engineering and mathematics. It can be used as a course text or for self study. [via]
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Geometry Revisited
by H. S. Coxeter

ISBN 0883856190 (0-88385-619-0)
Softcover, Mathematical Assn of Amer

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Book summary:
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed. [via]
More editions of Geometry Revisited:
- Geometry Revisited: ISBN 0883856190 (0-88385-619-0)
  Softcover, Mathematical Assn of Amer
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Geometry, Relativity, and the Fourth Dimension
by Rudolf V.B. Rucker

ISBN 0486234002 (0-486-23400-2)
Softcover, Dover Pubns

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Book summary:
Exposition of 4th dimension, concepts of relativity as Flatland characters continue adventures. Popular, easily followed yet accurate, profound. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Accessible to lay readers but also of interest to specialists. Includes 141 illustrations.
[via]
More editions of Geometry, Relativity, and the Fourth Dimension:
- Geometry, Relativity, and the Fourth Dimension: ISBN 0486234002 (0-486-23400-2)
  Softcover, Dover Pubns
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The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
by Mario Livio

ISBN 0767908163 (0-7679-0816-3)
Softcover, Bantam Dell Pub Group

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Book summary:
Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!

The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist. [via]
More editions of The Golden Ratio: The Story of Phi, the World's Most Astonishing Number:
- The Golden Ratio : The Story of Phi, the World's Most Astonishing Number: ISBN 0767908155 (0-7679-0815-5)
  Hardcover, Broadway Books
- The Golden Ratio: The Story of Phi, the World's Most Astonishing Number: ISBN 0767908163 (0-7679-0816-3)
  Softcover, Bantam Dell Pub Group
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Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
by John B. Little, Donal O'Shea, David A. Cox

ISBN 354097847X (3-540-97847-X)
Hardcover, Springer-Verlag

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- Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra: ISBN 354097847X (3-540-97847-X)
  Hardcover, Springer-Verlag
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Introduction to Geometry
by H.S.M. Coxeter

ISBN 0471504580 (0-471-50458-0)
Softcover, John Wiley & Sons Inc

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Book summary:
This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted by relatively self-contained chapters, and broad coverage ranging from topics in the Euclidean plane, to affine geometry, projective geometry, differential geometry, and topology. The Second Edition incorporates improvements in the text and in some proofs, takes note of the solution of the 4-color map problem, and provides answers to most of the exercises. [via]
More editions of Introduction to Geometry:
- Introduction to Geometry: ISBN 0471504580 (0-471-50458-0)
  Softcover, John Wiley & Sons Inc
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Janice Vancleave's Geometry for Every Kid
by Janice Pratt Vancleave

ISBN 0613081218 (0-613-08121-8)
Hardcover, Bt Bound

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- Janice Vancleave's Geometry for Every Kid: ISBN 0613081218 (0-613-08121-8)
  Hardcover, Bt Bound
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King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry
by Siobhan Roberts

ISBN 0802714994 (0-8027-1499-4)
Hardcover, Walker & Co

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Book summary:
"There is perhaps no better way to prepare for the scientific breakthroughs of tomorrow than to learn the language of geometry." --Brian Greene, author of The Elegant Universe

The word "geometry" brings to mind an array of mathematical images: circles, triangles, the Pythagorean Theorem. Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives--from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.

Many of the greatest names in intellectual history--Pythagoras, Plato, Archimedes, Euclid-- were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions--his famed Coxeter groups and Coxeter diagrams--have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.

Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

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More editions of King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry:
- King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry: ISBN 0887842011 (0-88784-201-1)
  Hardcover, Anansi
- The King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry: ISBN 0802714994 (0-8027-1499-4)
  Hardcover, Walker & Co
A Little Book of Coincidence
by John Martineau

ISBN 0802713882 (0-8027-1388-2)
Hardcover, St Martins Pr

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- A Little Book of Coincidence: ISBN 0802713882 (0-8027-1388-2)
  Hardcover, St Martins Pr
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Mathographics
by Robert A. Dixon

ISBN 0486266397 (0-486-26639-7)
Softcover, Dover Pubns

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Book summary:
Stimulating, unique book explores the possibilities of mathematical drawing through compass constructions and computer graphics. Over 100 full-page drawings demonstrate possibilities: five-point egg, golden ratio, 17-gon, plughole vortex, blancmange curve, pentasnow, turtle geometry, many more. Exercises (with answers). "A wealth of intriguing and lovely ideas." Information Technology & Learning.
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- Mathographics: ISBN 0486266397 (0-486-26639-7)
  Softcover, Dover Pubns
Modern Geometries
by James R. Smart

ISBN 0534211984 (0-534-21198-4)
Hardcover, Cengage Learning College

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Book summary:
This comprehensive, best-selling text focuses on the study of many different geometries -- rather than a single geometry -- and is thoroughly modern in its approach. Each chapter is essentially a short course on one aspect of modern geometry, including finite geometries, the geometry of transformations, convexity, advanced Euclidian geometry, inversion, projective geometry, geometric aspects of topology, and non-Euclidean geometries. This edition reflects the recommendations of the COMAP proceedings on Geometry's Future, the NCTM standards, and the Professional Standards for Teaching Mathematics. References to a new companion text, Active Geometry by David A. Thomas encourage students to explore the geometry of motion through the use of computer software. Using Active Geometry at the beginning of various sections allows professors to give students a somewhat more intuitive introduction using current technology before moving on to more abstract concepts and theorems. [via]
More editions of Modern Geometries:
- Modern Geometries: ISBN 0534351883 (0-534-35188-3)
  Hardcover, Brooks/Cole Pub Co
- Modern Geometries: ISBN 0534211984 (0-534-21198-4)
  Hardcover, Cengage Learning College
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Order in Space: A Design Source Book
by Keith Critchlow

ISBN 0670528307 (0-670-52830-7)
Softcover, Penguin USA

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Book summary:
Offering imaginative insight into the area where mathematics and the arts meet, this book may be used as a practical tool by the architect, designer or scientist who has to deal with such problems as defining space, distributing patterns, packing and stacking, and communication links. [via]
More editions of Order in Space: A Design Source Book:
- Order in Space: A Design Source Book: ISBN 0670528307 (0-670-52830-7)
  Softcover, Penguin USA
Platonic & Archimedean Solids
by Daud Sutton

ISBN 0802713866 (0-8027-1386-6)
Hardcover, Walker & Co

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- Platonic & Archimedean Solids: ISBN 0802713866 (0-8027-1386-6)
  Hardcover, Walker & Co
Polyhedra: One of the Most Charming Chapters of Geometry
by Peter R. Cromwell

ISBN 0521664055 (0-521-66405-5)
Softcover, Cambridge Univ Pr

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  Softcover, Cambridge Univ Pr
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The Power of Limits : Proportional Harmonies in Nature, Art and Architecture
by Gyorgy Doczi

ISBN 1590302591 (1-59030-259-1)
Softcover, Shambhala Pubns

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The Power of Limits: Proportional Harmonies in Nature, Art, and Architecture ... [via]
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Regular Polytopes
by Harold Scott MacDonald Coxeter

ISBN 0486614808 (0-486-61480-8)
Softcover, Dover Pubns

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- Regular Polytopes: ISBN 0486614808 (0-486-61480-8)
  Softcover, Dover Pubns
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Sacred Geometry
by Miranda Lundy

ISBN 0802713823 (0-8027-1382-3)
Hardcover, St Martins Pr

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Book summary:
Geometry is one of a group of special sciences - Number, Music and Cosmology are the others - found identically in nearly every culture on earth. In this small volume, Miranda Lundy presents a unique introduction to this most ancient and timeless of universal sciences.

Sacred Geometry demonstrates what happens to space in two dimensions - a subject last flowering in the art, science and architecture of the Renaissance and seen in the designs of Stonehenge, mosque decorations and church windows. With exquisite hand-drawn images throughout showing the relationship between shapes, the patterns of coin circles, and the definition of the golden section, it will forever alter the way in which you look at a triangle, hexagon, arch, or spiral.
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- Sacred Geometry: ISBN 0802713823 (0-8027-1382-3)
  Hardcover, St Martins Pr
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Sacred Geometry: Philosophy and Practice
by Robert Lawlor

ISBN 0500810303 (0-500-81030-3)
Softcover, Thames & Hudson

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Book summary:
An introduction to the geometry which, as modern science now confirms, underlies the structure of the universe.
The thinkers of ancient Egypt, Greece and India recognized that numbers governed much of what they saw in their world and hence provided an approach to its divine creator. Robert Lawlor sets out the system that determines the dimension and the form of both man-made and natural structures, from Gothic cathedrals to flowers, from music to the human body. By also involving the reader in practical experiments, he leads with ease from simple principles to a grasp of the logarithmic spiral, the Golden Proportion, the squaring of the circle and other ubiquitous ratios and proportions.

Art and Imagination: These large-format, gloriously-illustrated paperbacks cover Eastern and Western religion and philosophy, including myth and magic, alchemy and astrology. The distinguished authors bring a wealth of knowledge, visionary thinking and accessible writing to each intriguing subject. 202 illustrations and diagrams, 56 in two colors [via]
More editions of Sacred Geometry: Philosophy and Practice:
- Sacred Geometry: Philosophy and Practice: ISBN 0824500628 (0-8245-0062-8)
  Hardcover, Crossroad
- Sacred Geometry: Philosophy and Practice: ISBN 0500810303 (0-500-81030-3)
  Softcover, Thames & Hudson
Sir Cumference and the First Round Table
by Wayne Geehan, Cindy Neuschwander, Cindy Newschwander

ISBN 1570911525 (1-57091-152-5)
Softcover, Charlesbridge Pub Inc

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- Sir Cumference and the First Round Table: ISBN 1570911606 (1-57091-160-6)
  Hardcover, Charlesbridge Pub Inc
- Sir Cumference and the First Round Table: A Math Adventure: ISBN 1570911525 (1-57091-152-5)
  Softcover, Charlesbridge Pub Inc
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Taxicab Geometry: An Adventure in Non-Euclidean Geometry
by Eugene F. Krause

ISBN 0486252027 (0-486-25202-7)
Softcover, Dover Pubns

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Book summary:
Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Topics include applications to urban geography and planning plus comparisons to Euclidean geometry. Every principle is illustrated and clarified with numerous research problems, exercises, and graphs. Selected answers to problems.
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- Taxicab Geometry: An Adventure in Non-Euclidean Geometry: ISBN 0486252027 (0-486-25202-7)
  Softcover, Dover Pubns
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Thirteen Books of Euclids Elements
by Gail Kay Haines

ISBN 0486600890 (0-486-60089-0)
Softcover, Dover Pubns

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Book summary:
Volume 2 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis of each definition, postulate, and proposition. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classical, medieval, Renaissance and modern commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 2 includes Books III-IX: Circles, relationships, rectilineal figures.
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- Thirteen Books of Euclids Elements: ISBN 0486600890 (0-486-60089-0)
  Softcover, Dover Pubns
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Thirteen Books of Euclids Elements
by Thomas L. Heath

ISBN 0486600882 (0-486-60088-2)
Softcover, Dover Pubns

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Book summary:
Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations, and historical notes. Vol. 1 includes Introduction, Books I and II of Elements, lines, angles, intersections, etc.
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- Thirteen Books of Euclids Elements: ISBN 0486600882 (0-486-60088-2)
  Softcover, Dover Pubns
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Topology and Geometry
by Glen E. Bredon

ISBN 0387979263 (0-387-97926-3)
Hardcover, Springer Verlag

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Book summary:
This book is intended as a textbook for a first-year graduate course onalgebraic topology, with as strong flavoring in smooth manifold theory.Starting with general topology, it discusses differentiable manifolds,cohomology, products and duality, the fundamental group, homology theory,and homotopy theory. It covers most of the topics all topologists willwant students to see, including surfaces, Lie groups and fibre bundle theory.With a thoroughly modern point of view, it is the first truly new textbookin topology since Spanier, almost 25 years ago. Although the book is comprehensive,there is no attempt made to present the material in excessive generality,except where generality improves the efficiency and clarity of the presentation. [via]
More editions of Topology and Geometry:
- Topology and Geometry: ISBN 3540979263 (3-540-97926-3)
  Hardcover, Springer-Verlag
- Topology and Geometry: ISBN 0387979263 (0-387-97926-3)
  Hardcover, Springer Verlag
Viking Book of Folk Ballads
by Albert B. Friedman

ISBN 0140061126 (0-14-006112-6)
Softcover, Viking Pr

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- Viking Book of Folk Ballads: ISBN 0140061126 (0-14-006112-6)
  Softcover, Viking Pr
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What's Your Angle, Pythagoras?: A Math Adventure
by Julie Ellis, Phyllis Hornung

ISBN 1570911509 (1-57091-150-9)
Softcover, Charlesbridge Pub Inc

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Book summary:
In ancient Greece, young Pythagoras discovers a special number pattern (the Pythagorean theorem) and uses it to solve problems involving right triangles. [via]
More editions of What's Your Angle, Pythagoras?: A Math Adventure:
- What's Your Angle, Pythagoras?: A Math Adventure: ISBN 1570911975 (1-57091-197-5)
  Hardcover, Charlesbridge Pub Inc
- What's Your Angle, Pythagoras?: A Math Adventure: ISBN 1570911509 (1-57091-150-9)
  Softcover, Charlesbridge Pub Inc
Zome Geometry: Hands on Learning With Zome Models
by George W. Hart, Henri Picciotto

ISBN 1559533854 (1-55953-385-4)
Softcover, Key Curriculum Pr

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- Zome Geometry: Hands on Learning With Zome Models: ISBN 1559533854 (1-55953-385-4)
  Softcover, Key Curriculum Pr

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