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› Find signed collectible books: 'Algebraic Number Theory'
This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. "Lang's books are always of great value for the graduate student and the research mathematician. This updated edition of Algebraic number theory is no exception."-MATHEMATICAL REVIEWS [via]
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› Find signed collectible books: 'Annotated Alice'
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› Find signed collectible books: 'Annotated Alice'
"What is the use of a book," thought Alice, "without pictures or conversations!"
Readers who share Alice's taste in books will be more than satisfied with The Annotated Alice, a volume that includes not only pictures and conversations, but a thorough gloss on the text as well. There may be some, like G.K. Chesterton, who abhor the notion of putting Lewis Carroll's masterpiece under a microscope and analyzing it within an inch of its whimsical life. But as Martin Gardner points out in his introduction, so much of Alice in Wonderland and Through the Looking Glass is composed of private jokes and details of Victorian manners and mores that modern audiences are not likely to catch. Yes, Alice can be enjoyed on its own merits, but The Annotated Alice appeals to the nosy parker in all of us. Thus we learn, for example, that the source of the mouse's tale may have been Alfred Lord Tennyson who "once told Carroll that he had dreamed a lengthy poem about fairies, which began with very long lines, then the lines got shorter and shorter until the poem ended with fifty or sixty lines of two syllables each." And that, contrary to popular belief, the Mad Hatter character was not a parody of then Prime Minister Gladstone, but rather was based on an Oxford furniture dealer named Theophilus Carter.
Gardner's annotations run the gamut from the factual and historical to the speculative and are, in their own way, quite as fascinating as the text they refer to. Occasionally, he even comments on himself, as when he quotes a fellow annotator of Alice, James Kincaid: "The historical context does not call for a gloss but the passage provides an opportunity to point out the ambivalence that may attend the central figure and her desire to grow up." And then follows with a charming riposte: "I thank Mr. Kincaid for supporting my own rambling." There's a lot of information in the margins (indeed, the page is pretty evenly divided between Carroll's text and Gardner's), but the ramblings turn out to be well worth the time. So hand over your old copy of Lewis Carroll's classic to the kids--this Alice in Wonderland is intended entirely for adults. --Alix Wilber [via]
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› Find signed collectible books: 'Applied Bayesian and Classical Inference: The Case of the Federalist Papers'
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› Find signed collectible books: 'The Art of Computer Programming: Fundamental Algorithms'
This magnificent tour de force presents a comprehensive overview of a wide variety of algorithms and the analysis of them. Now in its third edition, The Art of Computer Programming, Volume I: Fundamental Algorithms contains substantial revisions by the author and includes numerous new exercises.
Although this book was conceived several decades ago, it is still a timeless classic. One of the book's greatest strengths is the wonderful collection of problems that accompany each chapter. The author has chosen problems carefully and indexed them according to difficulty. Solving a substantial number of these problems will help you gain a solid understanding of the issues surrounding the given topic. Furthermore, the exercises feature a variety of classic problems.
Fundamental Algorithms begins with mathematical preliminaries. The first section offers a good grounding in a variety of useful mathematical tools: proof techniques, combinatorics, and elementary number theory. Knuth then details the MIX processor, a virtual machine architecture that serves as the programming target for subsequent discussions. This wonderful section comprehensively covers the principles of simple machine architecture, beginning with a register-level discussion of the instruction set. A later discussion of a simulator for this machine includes an excellent description of the principles underlying the implementation of subroutines and co-routines. Implementing such a simulator is an excellent introduction to computer design.
In the second section, Knuth covers data structures--stacks, queues, lists, arrays, and trees--and presents implementations (in MIX assembly) along with techniques for manipulating these structures. Knuth follows many of the algorithms with careful time and space analysis. In the section on tree structures, the discussion includes a series of interesting problems concerning the combinatorics of trees (counting distinct trees of a particular form, for example) and some particularly interesting applications. Also featured is a discussion of Huffmann encoding and, in the section on lists, an excellent introduction to garbage collection algorithms and the difficult challenges associated with such a task. The book closes with a discussion of dynamic allocation algorithms.
The clear writing in Fundamental Algorithms is enhanced by Knuth's dry humor and the historical discussions that accompany the technical matter. Overall, this text is one of the great classics of computer programming literature--it's not an easy book to grasp, but one that any true programmer will study with pleasure. [via]
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› Find signed collectible books: 'The Art of Computer Programming: Sorting and Searching'
Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. Check out the boxed set that brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually.
The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e ISBN: 0321751043 [via]More editions of The Art of Computer Programming: Sorting and Searching:
› Find signed collectible books: 'Art of Computer Programming/Sorting and Searching.'
The first revision of this third volume is a survey of classical computer techniques for sorting and searching. It extends the treatment of data structures in Volume 1 to consider both large and small databases and internal and external memories. [via]
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› Find signed collectible books: 'Basic Algebraic Geometry I'

› Find signed collectible books: 'Calculus Complete Course'
This classic text has been praised for its high level of mathematical integrity including complete and precise statements of theorems, use of geometric reasoning in applied problems and the diverse range of applications across the sciences. The Fourth Edition features a new open design and has been reorganized to place emphasis on key topics and to deliver an efficient teaching and learning tool for introductory calculus. *Reorganized for efficiency's sake and to place a greater emphasis on key topics *New open design to promote ease of learning for the student *Early introduction of transcendental functions *Emphasis on geometry, especially in applied problems *Precise statements of theorems *Diverse range of applications from all the sciences including physics, chemistry, engineering and social sciences [via]
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› Find signed collectible books: 'Calculus and Analytic Geometry'
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› Find signed collectible books: 'Coding and Information Theory'
This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. After a brief discussion of general families of codes, the author discusses linear codes (including the Hamming, Golary, the Reed-Muller codes), finite fields, and cyclic codes (including the BCH, Reed-Solomon, Justesen, Goppa, and Quadratic Residue codes). An appendix reviews relevant topics from modern algebra. [via]
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› Find signed collectible books: 'Computer Graphics: Principles and Practice'
The long-awaited second edition of this book has been completely rewritten to provide the most comprehensive authoritative and up-to-date coverage of the field---making it the standard computer graphics reference work for the 1990s. The authors provide a unique combination of current concepts and practical applications. The important algorithms in 2d and 3d graphics are detailed for easy implementation [via]
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› Find signed collectible books: 'Computers and the Imagination: Visual Adventures Beyond the Edge'
An examination of how visualization has transformed the way humans perceive and understand their world uses a computer to gain insights into the origins of human creativity. [via]
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› Find signed collectible books: 'Differential Equations and Boundary Value Problems: Computing and Modeling'
For introductory courses in Differential Equations. This best-selling text by these well-known authors blends the traditional algebra problem solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It reflects the new qualitative approach that is altering the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB. Its focus balances the traditional manual methods with the new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been trimmed and new topics added: it starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the text. [via]
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› Find signed collectible books: 'Differential Equations and Boundary Valve Problems: Computing and Modeling'
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› Find signed collectible books: 'Differential Equations and Their Applications: An Introduction to Applied Mathematics'
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› Find signed collectible books: 'Discrete Mathematics'
This best-selling book provides an accessible introduction to discretemathematics through an algorithmic approach that focuses on problem-solving techniques. This edition has the techniques of proofs woven into the text as a running theme and each chapter has the problem-solving corner. The text provides complete coverage of: Logic and Proofs; Algorithms; Counting Methods and the Pigeonhole Principle; Recurrence Relations; Graph Theory; Trees; Network Models; Boolean Algebra and Combinatorial Circuits; Automata, Grammars, and Languages; Computational Geometry. [via]
› Find signed collectible books: 'Elegant Universe: Superstrings, Hidden Dimensions and the Quest for the Ultimate Theory'
There is an ill-concealed skeleton in the closet of physics: "As they are currently formulated, general relativity and quantum mechanics cannot both be right." Each is exceedingly accurate in its field: general relativity explains the behavior of the universe at large scales, while quantum mechanics describes the behavior of subatomic particles. Yet the theories collide horribly under extreme conditions such as black holes or times close to the big bang. Brian Greene, a specialist in quantum field theory, believes that the two pillars of physics can be reconciled in superstring theory, a theory of everything.
Superstring theory has been called "a part of 21st-century physics that fell by chance into the 20th century." In other words, it isn't all worked out yet. Despite the uncertainties--"string theorists work to find approximate solutions to approximate equations"--Greene gives a tour of string theory solid enough to satisfy the scientifically literate.
Though Ed Witten of the Institute for Advanced Study is in many ways the human hero of The Elegant Universe, it is not a human-side-of-physics story. Greene's focus throughout is the science, and he gives the nonspecialist at least an illusion of understanding--or the sense of knowing what it is that you don't know. And that is traditionally the first step on the road to knowledge. --Mary Ellen Curtin [via]
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› Find signed collectible books: 'Elementary Number Theory'
› Find signed collectible books: 'Elementary Number Theory: and Its Applications'
Elementary Number theory and its applications [via]
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› Find signed collectible books: 'Emblems of the Mind'
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› Find signed collectible books: 'Encyclopedic Dictionary of Mathematics'
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› Find signed collectible books: 'Encyclopedic Dictionary of Mathematics'
When the first edition of the Encyclopedic Dictionary of Mathematics appeared in 1977, it was immediately hailed as a landmark contribution to mathematics: "The standard reference for anyone who wants to get acquainted with any part of the mathematics of our time" (Jean Dieudonné, American Mathematical Monthly). "A magnificent reference work that belongs in every college and university library" (Choice), "This unique and masterfully written encyclopedia is more than just a reference work: it is a carefully conceived course of study in graduate-level mathematics" (Library Journal).The new edition of the encyclopedia has been revised to bring it up to date and expanded to include more subjects in applied mathematics. There are 450 articles as compared to 436 in the first edition: 70 new articles have been added, whereas 56 have been incorporated into other articles and out-of-date material has been dropped. All the articles have been newly edited and revised to take account of recent work, and the extensive appendixes have been expanded to make them even more useful. The cross-referencing and indexing and the consistent set-theoretical orientation that characterized the first edition remain unchanged,The encyclopedia includes articles in the following areas: Logic and Foundations; Sets, General Topology, and Categories; Algebra; Group Theory; Number Theory; Euclidean and Projective Geometry; Differential Geometry; Algebraic Geometry; Topology; Analysis; Complex Analysis; Functional Analysis; Differential, Integral, and Functional Equations; Special Functions; Numerical Analysis; Computer Science and Combinatorics; Probability Theory; Statistics; Mathematical Programming and Operations Research; Mechanics and Theoretical Physics; History of Mathematics.Kiyosi Ito is professor emeritus of mathematics at Kyoto University.
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› Find signed collectible books: 'Figuring: The Joy of Numbers'
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› Find signed collectible books: 'Finite and Infinite Games'
A fascinating meditation on life as a contest of games to be completed and games to be continued--and on what lies beyond winning and losing. [via]

› Find signed collectible books: 'Five More Golden Rules: Knots, Codes, Chaos, and Other Great Theories of 20Th-Century Mathematics'
Bring more joy to your favorite math-head with Five More Golden Rules from science writer and national treasure John L. Casti. Though a quick glance through the book will cause an intense fight-or-flight response in the numerophobic, Casti's writing is lovely and lucid as ever, explaining not just equations and theorems but their significance in our lives. Having discovered in Five Golden Rules that he couldn't restrict himself to just five important 20th-century mathematical theories, this follow-up explores the intricacies of knot theory, functional analysis, control theory, chaotic systems, and information theory. Each of the five lively chapters introduces its subject with a seemingly unrelated anecdote that is (of course) informed by the theory in question. Then it's headlong into the wonderful details of postulation and demonstration that make math so much fun. Unlike a textbook, Five More Golden Rules meanders and breaks away from its proofs to discover relations between the symbols and the real world, from the stock market to the coastline of Norway. Besides giving the reader a break, this makes the abstract, almost ethereal concepts concrete and provides a definite advantage to the interested student. Perhaps textbook publishers should take note of this technique; until they do, we'll have to curl up with Casti's Five More Golden Rules if we want to have fun with our higher math. --Rob Lightner [via]
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› Find signed collectible books: 'Fractals: Images of Chaos'
Provides a basic mathematical introduction to fractal geometry, the mathematics that lie behind chaos theory. This book attempts to communicate the relatively simple understanding of the subject to an audience with a basic mathematical education. [via]
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› Find signed collectible books: 'From Here to Infinity'
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› Find signed collectible books: 'Fundamentals of Differential Equations and Boundary Value Problems'
See previous listing for contents. [via]
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› Find signed collectible books: 'Fundamentals of Differential Equations and Boundary Value Problems'
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› Find signed collectible books: 'Geometry Civilized: History, Culture, and Technique'
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› Find signed collectible books: 'Imaginary Numbers'
› Find signed collectible books: 'Introduction to Computer Graphics'
This adaptation of the definitive book in the field (Computer Graphics, Second Edition by Foley, et al.,) provides a more concise, less expensive introduction to computer graphics. While retaining the currency and accuracy of the larger work, coverage has been trimmed to the essential topics. Explanations of key concepts have been expanded and further illustrated, assuming less background on the part of the reader. This brief version uses C as the programming language for all worked examples. An Introduction to Computer Graphics does not replace the highly regarded Second Edition of Foley, et al., but simply offers professionals the option of a briefer, less expensive version. [via]
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› Find signed collectible books: 'An Introduction to Mathematical Statistics and Its Applications'
Using high-quality, real-world case studies and examples, this introduction to mathematical statistics shows how to use statistical methods and when to use them. This book can be used as a brief introduction to design of experiments. This successful, calculus-based book of probability and statistics, was one of the first to make real-world applications an integral part of motivating discussion. The number of problem sets has increased in all sections. Some sections include almost 50% new problems, while the most popular case studies remain. For anyone needing to develop proficiency with Mathematical Statistics.
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› Find signed collectible books: 'An Introduction to Mathematical Statistics and Its Applications'
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› Find signed collectible books: 'Introduction to Probability Models, Ise'
Introduction to Probability Models, 8th Edition, continues to introduce and inspire readers to the art of applying probability theory to phenomena in fields such as engineering, computer science, management and actuarial science, the physical and social sciences, and operations research. Now revised and updated, this best-selling book retains its hallmark intuitive, lively writing style, captivating introduction to applications from diverse disciplines, and plentiful exercises and worked-out examples.
The 8th Edition includes five new sections and numerous new examples and exercises, many of which focus on strategies applicable in risk industries such as insurance or actuarial work.
The five new sections include:
* Section 3.6.4 presents an elementary approach, using only conditional expectation, for computing the expected time until a sequence of independent and identically distributed random variables produce a specified pattern.
* Section 3.6.5 derives an identity involving compound Poisson random variables and then uses it to obtain an elegant recursive formula for the probabilities of compound Poisson random variables whose incremental increases are nonnegative and integer valued
* Section 5.4.3 is concerned with a conditional Poisson process, a type of process that is widely applicable in the risk industries
* Section 7.10 presents a derivation of and a new characterization for the classical insurance ruin probability.
* Section 11.8 presents a simulation procedure known as coupling from the past; its use enables one to exactly generate the value of a random variable whose distribution is that of the stationary distribution of a given Markov chain, even in cases where the stationary distribution cannot itself be explicitly determined.
Other Academic Press books by Sheldon Ross:
Simulation 3rd Ed., ISBN:0-12-598053-1
Probability Models for Computer Science, ISBN 0-12-598051-5
Introduction to Probability and Statistics for Engineers and Scientists, 2nd Ed., ISBN: 0-12-598472-3
* Classic text by best-selling author
* Continues the tradition of expository excellence
* Contains compulsory material for Exam 3 of the
Society of Actuaries [via]
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› Find signed collectible books: 'Isaac Newton'
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› Find signed collectible books: 'Letters to a Young Mathematician'
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› Find signed collectible books: 'Linked: How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life'
How is the human brain like the AIDS epidemic? Ask physicist Albert-László Barabási and he'll explain them both in terms of networks of individual nodes connected via complex but understandable relationships. Linked: The New Science of Networks is his bright, accessible guide to the fundamentals underlying neurology, epidemiology, Internet traffic, and many other fields united by complexity.
Barabási's gift for concrete, nonmathematical explanations and penchant for eccentric humor would make the book thoroughly enjoyable even if the content weren't engaging. But the results of Barabási's research into the behavior of networks are deeply compelling. Not all networks are created equal, he says, and he shows how even fairly robust systems like the Internet could be crippled by taking out a few super-connected nodes, or hubs. His mathematical descriptions of this behavior are helping doctors, programmers, and security professionals design systems better suited to their needs. Linked presents the next step in complexity theory--from understanding chaos to practical applications. --Rob Lightner [via]
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› Find signed collectible books: 'The Loom of God: Mathematical Tapestries at the Edge of Time'
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› Find signed collectible books: 'Martin Gardner's New Mathematical Diversions from "Scientific American"'
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› Find signed collectible books: 'The Mathematical Experience'
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› Find signed collectible books: 'The Mathematical Magpie: Being More Stories, Mainly Transcendental, Plus Subjects of Essays, Rhymes, Music, Anecdotes, Epigrams, and Other Prime Oddments and Diversions, ratio'
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› Find signed collectible books: 'Mathematical Snapshots'
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› Find signed collectible books: 'Mathematician's Delight'
'The main object of this book is to dispel the fear of mathematics. Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'
W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best. [via]
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› Find signed collectible books: 'Methods of Mathematical Physics'
Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961. [via]
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› Find signed collectible books: 'Methods of Real Analysis'
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› Find signed collectible books: 'More Mathematical People: Contemporary Conversations'
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› Find signed collectible books: 'The Number Sense: How the Mind Creates Mathematics'
This may surprise those who have trouble carrying the remainder in division or figuring out a 15 percent tip on a $20 lunch bill, but according to mathematician and psychologist Stanislas Dehaene, mathematics is an inborn skill. In The Number Sense, Dehaene makes a compelling case for the human mind's innate grasp of mathematics. Take, for example, the fact that place value systems (such as the Arabic numeral system we use) arose independently in four separate civilizations--evidence of a universal sense of number. Dehaene's book is filled with examples to support his thesis, from young babies' ability to "count" (i.e., to react when single objects are replaced by two or more) to examples of how brain damage affects various individuals' number sense. Even more fascinating is his discussion of the relationship between language and numbers. Though Dehaene's book is about mathematics, even those readers with the worst math anxiety will find The Number Sense an intriguing exploration of the world of numbers--and the human mind. [via]
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› Find signed collectible books: 'Ordinary Differential Equations'
There are dozens of books on ODEs, but none with the elegant geometric insight of Arnol'd's book. Arnol'd puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on the routine presentation of algorithms for solving special classes of equations. Of course, the reader learns how to solve equations, but with much more understanding of the systems, the solutions and the techniques. Vector fields and one-parameter groups of transformations come right from the start and Arnol'd uses this "language" throughout the book. This fundamental difference from the standard presentation allows him to explain some of the real mathematics of ODEs in a very understandable way and without hiding the substance. The text is also rich with examples and connections with mechanics. Where possible, Arnol'd proceeds by physical reasoning, using it as a convenient shorthand for much longer formal mathematical reasoning. This technique helps the student get a feel for the subject. Following Arnol'd's guiding geometric and qualitative principles, there are 272 figures in the book, but not a single complicated formula. Also, the text is peppered with historical remarks, which put the material in context, showing how the ideas have developed since Newton and Leibniz. This book is an excellent text for a course whose goal is a mathematical treatment of differential equations and the related physical systems. [via]
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› Find signed collectible books: 'The Oxford Murders'
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› Find signed collectible books: 'Philosophy of Mathematics: Structure and Ontology'
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› Find signed collectible books: 'Probability and Statistics for Engineers and Scientists'
This classic book provides a rigorous introduction to basic probability theory and statistical inference that is well motivated by interesting, relevant applications.
The new edition features many new, real-data based exercises and examples, an increased emphasis on the analysis of statistical output and greater use of graphical techniques and statistical methods in quality improvement. [via]
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› Find signed collectible books: 'Rational Points on Elliptic Curves'
The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. The books accessibility, the informal writing style, and a wealth of exercises make it an ideal introduction for those interested in learning about Diophantine equations and arithmetic geometry. [via]
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› Find signed collectible books: 'Viking Book of Folk Ballads'
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› Find signed collectible books: 'A World Without Time: The Forgotten Legacy of Godel And Einstein'
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