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› Find signed collectible books: '13 Books of Euclids Elements'
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› Find signed collectible books: 'Algebraic Geometry'
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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› Find signed collectible books: 'The Annotated Flatland: A Romance of Many Dimensions'
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]
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› Find signed collectible books: 'Art and Geometry a Study in Space Intuitions'
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› Find signed collectible books: 'A Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science'
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:
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› Find signed collectible books: 'Calculus and Analytical Geometry'
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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› Find signed collectible books: 'Calculus and Analytic Geometry: Alternate Edition'
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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› Find signed collectible books: 'Comprehensive Introduction to Differential Geometry'
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› Find signed collectible books: 'Computational Geometry : Algorithms and Applications'
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]
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› Find signed collectible books: 'Computational Geometry: Algorithms and Applications'
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› Find signed collectible books: 'Differential Geometry'
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› Find signed collectible books: 'The Divine Proportion: A Study in Mathematical Beauty'
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› Find signed collectible books: 'The Dot and the Line'
Hardcover book, with dust jacket, 2001. [via]
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› Find signed collectible books: 'Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace'
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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› Find signed collectible books: 'Euclidean and Non-Euclidean Geometries: Development and History'
Euclidean and Non-Euclidean Geometries presents the discovery of non-Euclidean geometry and the reformulation of the foundations of Euclidean geometry. [via]
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› Find signed collectible books: 'Euclids Elements'
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]
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› Find signed collectible books: 'Flatland'
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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› Find signed collectible books: 'Flatland: A Romance Of Many Dimensions'
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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› Find signed collectible books: 'Flatland'
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› Find signed collectible books: 'Flatland: A Journey of Many Dimensions'
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]
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› Find signed collectible books: 'Flatterland'
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]
› Find signed collectible books: 'Foundations of Geometry'
Math [via]
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› Find signed collectible books: 'Fractal Geometry of Nature'
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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› Find signed collectible books: 'Geometry'
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]

› Find signed collectible books: 'The Geometry of Art and Life'
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› Find signed collectible books: 'Geometry of Design: Studies in Proportion and Composition'
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]
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› Find signed collectible books: 'The Geometry of Physics: An Introduction'
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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› Find signed collectible books: 'Geometry Revisited'
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]
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› Find signed collectible books: 'Geometry, Relativity, and the Fourth Dimension'
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› Find signed collectible books: 'The Golden Ratio: The Story of Phi, the World's Most Astonishing Number'
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]
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› Find signed collectible books: 'Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra'
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› Find signed collectible books: 'Introduction to Geometry'
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]
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› Find signed collectible books: 'Janice Vancleave's Geometry for Every Kid'
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› Find signed collectible books: 'The King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry'
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› Find signed collectible books: 'A Little Book of Coincidence'
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› Find signed collectible books: 'Mathographics'
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› Find signed collectible books: 'Modern Geometries'
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]
› Find signed collectible books: 'Order in Space: A Design Source Book'
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]
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› Find signed collectible books: 'Platonic & Archimedean Solids'
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› Find signed collectible books: 'Polyhedra: One of the Most Charming Chapters of Geometry'
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› Find signed collectible books: 'The Power Of Limits: Proportional Harmonies In Nature, Art, And Architecture'
The Power of Limits: Proportional Harmonies in Nature, Art, and Architecture ... [via]
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› Find signed collectible books: 'Regular Polytopes'
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› Find signed collectible books: 'Sacred Geometry'
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› Find signed collectible books: 'Sacred Geometry: Philosophy and Practice'
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.More editions of Sacred Geometry: Philosophy and Practice:

› Find signed collectible books: 'Sir Cumference and the First Round Table: A Math Adventure'
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› Find signed collectible books: 'Taxicab Geometry: An Adventure in Non-Euclidean Geometry'
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› Find signed collectible books: 'Thirteen Books of Euclids Elements'
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› Find signed collectible books: 'Thirteen Books of Euclids Elements'
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› Find signed collectible books: 'Topology and Geometry'
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]
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› Find signed collectible books: 'Viking Book of Folk Ballads'
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› Find signed collectible books: 'What's Your Angle, Pythagoras?: A Math Adventure'
In ancient Greece, young Pythagoras discovers a special number pattern (the Pythagorean theorem) and uses it to solve problems involving right triangles. [via]
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› Find signed collectible books: 'Zome Geometry: Hands on Learning With Zome Models'
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