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› Find signed collectible books: 'Advanced Engineering Mathematics'
Through previous editions, Peter O'Neil has made rigorous engineering mathematics topics accessible to thousands of students by emphasizing visuals, numerous examples, and interesting mathematical models. Now, ADVANCED ENGINEERING MATHEMATICS features revised examples and problems as well as newly added content that has been fine-tuned throughout to improve the clear flow of ideas. The computer plays a more prominent role than ever in generating computer graphics used to display concepts and problem sets. In this new edition, computational assistance in the form of a self contained Maple Primer has been included to encourage students to make use of such computational tools. The content has been reorganized into six parts and covers a wide spectrum of topics including Ordinary Differential Equations, Vectors and Linear Algebra, Systems of Differential Equations and Qualitative Methods, Vector Analysis, Fourier Analysis, Orthogonal Expansions, and Wavelets, and much more. Kindle textbooks are functionally equivalent to the print textbook. In some cases, individual items such as ancillary images or multimedia have been removed for digital delivery due to rights restrictions. [via]
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› Find signed collectible books: 'Algebraic Graph Theory'
In this substantial revision of a much-quoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject that has strong links with the "interaction models" studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. The structure of the volume is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of "Additional Results" are included at the end of each chapter, thereby covering most of the major advances in the past twenty years. This new and enlarged edition will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists. [via]
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› Find signed collectible books: 'Algebraic Number Theory'
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› Find signed collectible books: 'Algorithmic Information Theory'
Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Gödel's incompleteness theorem, using an information theoretic approach based on the size of computer programs. One half of the book is concerned with studying the halting probability of a universal computer if its program is chosen by tossing a coin. The other half is concerned with encoding the halting probability as an algebraic equation in integers, a so-called exponential diophantine equation. [via]
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› Find signed collectible books: 'The Anthropology of Numbers'
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› Find signed collectible books: 'Basic Abstract Algebra'
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› Find signed collectible books: 'Basic Abstract Algebra'
This is a self-contained text on abstract algebra for senior undergraduate and senior graduate students, which gives complete and comprehensive coverage of the topics usually taught at this level. The book is divided into five parts. The first part contains fundamental information such as an informal introduction to sets, number systems, matrices, and determinants. The second part deals with groups. The third part treats rings and modules. The fourth part is concerned with field theory. Much of the material in parts II, III, and IV forms the core syllabus of a course in abstract algebra. The fifth part goes on to treat some additional topics not usually taught at the undergraduate level, such as the Wedderburn-Artin theorem for semisimple artinian rings, Noether-Lasker theorem, the Smith-Normal form over a PID, finitely generated modules over a PID and their applications to rational and Jordan canonical forms and the tensor products of modules. Throughout, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. In addition, the book contains many examples fully worked out and a variety of problems for practice and challenge. Solution to the odd-numbered problems are provided at the end of the book to encourage the student in problem solving. This new edition contains an introduction to categories and functors, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Noether-Lasker theorem. In addition, there are over 150 new problems and examples. [via]
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› Find signed collectible books: 'Biology by Numbers: An Encouragement to Quantitative Thinking'
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› Find signed collectible books: 'Calculated Bets: Computers, Gambling, and Mathematical Modeling to Win'
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› Find signed collectible books: 'Calculus and Analytic Geometry'
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› Find signed collectible books: 'Categories for Types'
This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories. It introduces the reader to ordered set theory, lattices and domains, and this material provides plenty of examples for an introduction to category theory, which covers categories, functors, natural transformations, the Yoneda lemma, cartesian closed categories, limits, adjunctions and indexed categories. Four kinds of formal system are considered in detail, namely algebraic, functional, polymorphic functional, and higher order polymorphic functional type theory. For each of these the categorical semantics are derived and results about the type systems are proved categorically. Issues of soundness and completeness are also considered. Aimed at advanced undergraduates and beginning graduates, this book will be of interest to theoretical computer scientists, logicians and mathematicians specializing in category theory. [via]

› Find signed collectible books: 'The Changing Shape of Geometry: Celebrating a Century of Geometry and Geometry Teaching'
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› Find signed collectible books: 'Chaos in Dynamical Systems'
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› Find signed collectible books: 'Combinatorics: Topics, Techniques, Algorithms'
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› Find signed collectible books: 'Complex Variables: Introduction and Applications'
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› Find signed collectible books: 'Complex Variables: Introduction and Applications'
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› Find signed collectible books: 'Computational Differential Equations'
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› Find signed collectible books: 'Concise Introduction to Logic'
Tens of thousands of students have learned to be more discerning at constructing and evaluating arguments with the help of Patrick J. Hurley. Hurley's lucid, friendly, yet thorough presentation has made A CONCISE INTRODUCTION TO LOGIC the most widely used logic text in North America. In addition, the book's accompanying technological resources, such as CengageNOW and Learning Logic, include interactive exercises as well as video and audio clips to reinforce what you read in the book and hear in class. In short, you'll have all the assistance you need to become a more logical thinker and communicator. [via]
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› Find signed collectible books: 'Creating Modern Probability: Its Mathematics, Physics and Philosophy in Historical Perspective'
This is the only book to chart the history and development of modern probability theory. It shows how in the first thirty years of this century probability theory became a mathematical science. The author also traces the development of probabilistic concepts and theories in statistical and quantum physics. There are chapters dealing with chance phenomena, and current major mathematical theories, together with their foundational and philosophical problems. Among the theorists whose work is treated at some length are Kolmogorov, von Mises and de Finetti. [via]
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› Find signed collectible books: 'Decisions and Elections: Explaining the Unexpected'
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› Find signed collectible books: 'Diffusions, Markov Processes, and Martingales: Foundations'
Now available in paperback, this celebrated book remains a key systematic guide to a large part of the modern theory of probability. The authors not only present the subject of brownian motion as a dry part of mathematical analysis, but convey its real meaning and fascination. The opening, heuristic chapter does just this, and it is followed by a comprehensive and self-contained account of the foundations of theory of stochastic processes. Chapter 3 is a lively presentation of the theory of markov processes. Together with its companion volume, this book equips graduate students for research into a subject of great intrinsic interest and wide applications [via]
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› Find signed collectible books: 'Elementary Number Theory In Nine Chapters'
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject. [via]
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› Find signed collectible books: 'Elements of Functional Analysis'
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› Find signed collectible books: 'The Elements of Graphing Data'

› Find signed collectible books: 'Explaining Chaos'
Chaotic dynamics has been hailed as the third great scientific revolution in physics in this century, comparable to relativity and quantum mechanics. In this book, Peter Smith takes a cool, critical look at such claims. He cuts through the hype and rhetoric by explaining some of the basic mathematical ideas in a clear and accessible way, and by carefully discussing the methodological issues that arise. In particular, he explores the new kinds of explanation of empirical phenomena that modern dynamics can deliver. Explaining Chaos will be compulsory reading for philosophers of science and for anyone who has wondered about the conceptual foundations of chaos theory. [via]

› Find signed collectible books: 'Extending Mechanics to Minds: The Mechanical Foundations of Psychology And Economics'
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› Find signed collectible books: 'Financial Calculus: An Introduction to Derivative Pricing'
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› Find signed collectible books: 'A First Course in Mathematical Analysis'
This straightforward course based on the idea of a limit is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series. Particular attention is given to clarity of exposition and the logical development of the subject matter. A large number of examples is included, with hints for the solution of many of them. [via]
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› Find signed collectible books: 'Fourier Analysis'
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› Find signed collectible books: 'Games of No Chance'
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› Find signed collectible books: 'Games of No Chance: Combinatorial Games at Msri, 1994'
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› Find signed collectible books: 'A Guide to Quantum Groups'
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› Find signed collectible books: 'The Higher Arithmetic: An Introduction to the Theory of Numbers'
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› Find signed collectible books: 'Information Theory, Inference and Learning Algorithms'
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› Find signed collectible books: 'Introduction to Higher-Order Categorical Logic'
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› Find signed collectible books: 'Introduction to Non-Commutative Noetherian Rings'
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› Find signed collectible books: 'Introduction to the Mathematical and Statistical Foundations of Econometrics'
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› Find signed collectible books: 'Introduction to the Modern Theory of Dynamical Systems'
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› Find signed collectible books: 'The Large, the Small and the Human Mind'
Will quantum physics let us reduce consciousness to computation? Roger Penrose says "no" with great force and eloquence in The Large, The Small, and the Human Mind. Originally prepared as a series of three lectures in Cambridge's Tanner Series on Human Values, the material is both meticulously thought out and informally presented, including many illustrations by Penrose and others. For publication, the author sought out rebuttals and commentary by philosophers Abner Shimony and Nancy Cartwright as well as his own colleague and occasional rival, the well-known theoretical physicist Stephen Hawking, then reserves the last word for himself, as is his prerogative. The result is a sharp but polite argument on the nature of thinking and its reducibility; readers familiar with The Emperor's New Mind and Shadow of the Mind will find the arguments from quantum physics fleshed out in greater detail but also attacked with good-natured aplomb. Those who missed out on Penrose's older forays into this territory (or are somehow disinterested in the nature of thought) will find this an excellent, if broad, overview of the modern conception of physics from subatomic shenanigans to the radius of the universe as well as a stimulating debate among several great modern thinkers. Despite Penrose's certainty that our brains can't be modelled by computational systems--and hence that strong artificial intelligence will remain in science fiction--the argument continues, and will continue for some time. The Large, The Small, and the Human Mind crystallises that debate for readers who want to keep up with the latest thinking about thinking. --Rob Lightner [via]
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› Find signed collectible books: 'The Large, the Small and the Human Mind'
Will quantum physics let us reduce consciousness to computation? Roger Penrose says "no" with great force and eloquence in The Large, The Small, and the Human Mind. Originally prepared as a series of three lectures in Cambridge's Tanner Series on Human Values, the material is both meticulously thought out and informally presented, including many illustrations by Penrose and others. For publication, the author sought out rebuttals and commentary by philosophers Abner Shimony and Nancy Cartwright as well as his own colleague and occasional rival, the well-known theoretical physicist Stephen Hawking, then reserves the last word for himself, as is his prerogative. The result is a sharp but polite argument on the nature of thinking and its reducibility; readers familiar with The Emperor's New Mind and Shadow of the Mind will find the arguments from quantum physics fleshed out in greater detail but also attacked with good-natured aplomb. Those who missed out on Penrose's older forays into this territory (or are somehow disinterested in the nature of thought) will find this an excellent, if broad, overview of the modern conception of physics from subatomic shenanigans to the radius of the universe as well as a stimulating debate among several great modern thinkers. Despite Penrose's certainty that our brains can't be modelled by computational systems--and hence that strong artificial intelligence will remain in science fiction--the argument continues, and will continue for some time. The Large, The Small, and the Human Mind crystallises that debate for readers who want to keep up with the latest thinking about thinking. --Rob Lightner [via]
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› Find signed collectible books: 'Linear Analysis: An Introductory Course'
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› Find signed collectible books: 'Littlewood's Miscellany'
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› Find signed collectible books: 'Logic for Mathematicians'
› Find signed collectible books: 'Mathematical Analysis'
For the second edition of this very successful text, Professor Binmore has written two chapters on analysis in vector spaces. The discussion extends to the notion of the derivative of a vector function as a matrix and the use of second derivatives in classifying stationary points. Some necessary concepts from linear algebra are included where appropriate. The first edition contained numerous worked examples and an ample collection of exercises for all of which solutions were provided at the end of the book. The second edition retains this feature but in addition offers a set of problems for which no solutions are given. Teachers may find this a helpful innovation. [via]

› Find signed collectible books: 'Mathematical Constants'
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› Find signed collectible books: 'Mathematical Methods for Physics And Engineering: A Comprehensive Guide'
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› Find signed collectible books: 'Mathematics Made Difficult'
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› Find signed collectible books: 'Maths: A Student's Survival Guide'
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› Find signed collectible books: 'Methods of Algebraic Geometry'
This classic work (first published in 1947), in three volumes, provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties but geometrical meaning has been emphasized throughout. This first volume is divided into two parts. The first is devoted to pure algebra: the basic notions, the theory of matrices over a non-commutative ground field and a study of algebraic equations. The second part is in n dimensions. It concludes with a purely algebraic account of collineations and correlations. [via]
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› Find signed collectible books: 'Modern Computer Algebra'
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› Find signed collectible books: 'Numerical Recipes Example Book'
These example books published as part of the Numerical Recipes, Second Edition series are source programs that demonstrate all of the Numerical Recipes subroutines. Each example program contains comments and is prefaced by a short description of how it functions. The books consist of all the material from the original edition as well as new material from the Second Edition. They will be valuable for readers who wish to incorporate procedures and subroutines into their own source programs. They are available in Fortran, C, and C++. [via]
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› Find signed collectible books: 'Numerical Recipes Example Book Fortran'
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› Find signed collectible books: 'Numerical Recipes/C Diskette V1.0'
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› Find signed collectible books: 'A Pathway into Number Theory'
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› Find signed collectible books: 'Practical Applied Mathematics: Modelling, Analysis, Approximation'
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› Find signed collectible books: 'Practical Foundations of Mathematics'
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› Find signed collectible books: 'Probability Theory: The Logic of Science'
Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information. [via]
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› Find signed collectible books: 'Regular Complex Polytopes'
The properties of regular solids exercise a fascination which often appeals strongly to the mathematically inclined, whether they are professionals, students or amateurs. In this classic book Professor Coxeter explores these properties in easy stages, introducing the reader to complex polyhedra (a beautiful generalization of regular solids derived from complex numbers) and unexpected relationships with concepts from various branches of mathematics: magic squares, frieze patterns, kaleidoscopes, Cayley diagrams, Clifford surfaces, crystallographic and non-crystallographic groups, kinematics, spherical trigonometry, and algebraic geometry. In the latter half of the book, these preliminary ideas are put together to describe a natural generalization of the Five Platonic Solids. This updated second edition contains a new chapter on Almost Regular Polytopes, with beautiful 'abstract art' drawings. New exercises and discussions have been added throughout the book, including an introduction to Hopf fibration and real representations for two complex polyhedra. [via]
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› Find signed collectible books: 'Representations and Cohomology: Basic Representation Theory of Finite Groups and Associative Algebras'
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› Find signed collectible books: 'Representations and Cohomology: Cohomology of Groups and Modules'
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› Find signed collectible books: 'Set Theory, Logic and Their Limitations'
In this introduction to set theory and logic, the author discusses first order logic, and gives a rigorous axiomatic presentation of Zermelo-Fraenkel set theory. He includes many methodological remarks and explanations, and demonstrates how the basic concepts of mathematics can be reduced to set theory. He explains concepts and results of recursion theory in intuitive terms, and reaches the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics and philosophy, this book provides an excellent introduction to logic and set theory. [via]
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› Find signed collectible books: 'A Shorter Model Theory'
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› Find signed collectible books: 'Subjective Probability: The Real Thing'
This book offers a concise survey of basic probability theory from a thoroughly subjective point of view whereby probability theory is a mode of judgement. Written by one of the greatest figures in the field of probability theory, the book is both a summation and a synthesis of a lifetime of wrestling with such problems and issues. [via]
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› Find signed collectible books: 'A Treatise on the Theory of Bessel Functions'
The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel functions in 1922 with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables, and the second was compiling a collection of results of value for mathematicians and physicists who encounter Bessel functions in the course of their researches. The completeness of the theoretical account, combined with the wide scope of the collection of practical examples have resulted in a book that will be indispensable for pure mathematicians, applied mathematicians, and physicists. [via]
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› Find signed collectible books: 'Undergraduate Commutative Algebra'
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› Find signed collectible books: 'Understanding Probability: Chance Rules in Everyday Life'
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› Find signed collectible books: 'We'
First published in the West in 1924, We is an adventurous story of the future nameless "numbers," the two-tenths of the world's population that survived the Great Two Hundred Years War. Their food is derived from petroleum, and they believe that their totally restricted existence under the watchful eye of the Benefactor is the ideal. They do not mourn the passing of the creative human spirit; indeed, they are hardly aware it ever existed. More than half a century later, We remains a strange and telling tragicomedy of love and death. The author, an acknowledged satirist in his own right, set the stage for Orwell's Animal Farm and 1984.
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› Find signed collectible books: 'Yet Another Introduction to Analysis'
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