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› Find signed collectible books: 'Abstract Harmonic Analysis: Structure of Topological Groups Integration Theory Group Representations'
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› Find signed collectible books: 'Algebraic Graph Theory'
Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs. The authors' goal has been to present and illustrate the main tools and ideas of algebraic graph theory, with an emphasis on current rather than classical topics. While placing a strong emphasis on concrete examples, the authors tried to keep the treatment self-contained. [via]
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› Find signed collectible books: 'The Algorithmic Beauty of Plants'
Now available in an affordable softcover edition, this classic in Springer's acclaimed Virtual Laboratory series is the first comprehensive account of the computer simulation of plant development. 150 illustrations, one third of them in colour, vividly demonstrate the spectacular results of the algorithms used to model plant shapes and developmental processes. The latest in computer-generated images allow us to look at plants growing, self-replicating, responding to external factors and even mutating, without becoming entangled in the underlying mathematical formulae involved. The authors place particular emphasis on Lindenmayer systems - a notion conceived by one of the authors, Aristid Lindenmayer, and internationally recognised for its exceptional elegance in modelling biological phenomena. Nonetheless, the two authors take great care to present a survey of alternative methods for plant modelling. [via]
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› Find signed collectible books: 'Analysis by Its History'
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› Find signed collectible books: 'Analysis for Applied Mathematics'
This well-written book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics. It treats various practical methods for solving problems such as differential equations, boundary value problems, and integral equations. Pragmatic approaches to difficult equations are presented, including the Galerkin method, the method of iteration, Newtons method, projection techniques, and homotopy methods. [via]
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› Find signed collectible books: 'Analysis Now'
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› Find signed collectible books: 'The Arithmetic of Elliptic Curves'
The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, elliptic curves over finite fields, the complex numbers, local fields, and global fields. The last two chapters deal with integral and rational points, including Siegel's theorem and explicit computations for the curve Y^2 = X^3 + DX. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics. [via]
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› Find signed collectible books: 'Basic Mathematics'
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› Find signed collectible books: 'The Book of Prime Number Records'
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› Find signed collectible books: 'Brains, Machines and Mathematics'
Traces the relationship between the development of computing machines and our knowledge of brain functioning, and introduces corresponding mathematical models designed to describe this relationship. Begins with a historical overview tracing the rise of cybernetics to the current interchange of ideas between AI and brain theory. Subsequent chapters introduce neural sets and finite automata, the crucial cybernetic concepts of feedback and realization, pattern recognition networks, "semi-neural" learning networks, capabilities of Turing machines and automata which construct as well as compute. The final chapter presents two accessible proofs of Gödel's Incompleteness Theorem. [via]
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› Find signed collectible books: 'A Brief on Tensor Analysis'
In this text which gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics, the mathematics of tensor analysis is introduced in four, well-separated stages, and the physical interpretation and application of vectors and tensors are stressed throughout. This new edition contains more exercises. In addition, the author has appended a section on Differential Geometry. [via]
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› Find signed collectible books: 'Brownian Motion and Stochastic Calculus'
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› Find signed collectible books: 'Calculus III'
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› Find signed collectible books: 'Calculus of Several Variables'
This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Greens theorem, multiple integrals, surface integrals, Stokes theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems. [via]
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› Find signed collectible books: 'A Classical Introduction to Modern Number Theory'
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› Find signed collectible books: 'Classical Descriptive Set Theory'
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory. [via]
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› Find signed collectible books: 'Complex Analysis'

› Find signed collectible books: 'Complex Analysis'
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› Find signed collectible books: 'Complex Analysis'
This unusually lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. "Complex Analysis" offers new and interesting motivations for classical results and introduces related topics that do not appear in this form in other texts. Stressing motivation and technique, and complete with exercise sets, this volume may be used both as a basic text and as a reference. For this second edition, the authors have revised some of the existing material and have provided new exercises and solutions. [via]
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› Find signed collectible books: 'Complex Manifolds Without Potential Theory'
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› Find signed collectible books: 'Differential Forms in Algebraic Topology'
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› Find signed collectible books: 'Differential Geometry: Cartan's Generalization of Klein's Erlangen Program'
Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what Cartan did, which was to give a notion of "espaces généralisés" (= Cartan geometries) generalizing homogeneous spaces (= Klein geometries) in the same way that Riemannian geometry generalizes Euclidean geometry. In addition, physicists will be interested to see the fully satisfying way in which their gauge theory can be truly regarded as geometry. [via]
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› Find signed collectible books: 'Elementary Probability Theory with Stochastic Processes'
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› Find signed collectible books: 'Elementary Topics in Differential Geometry'
This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. the calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a one-semester course at the junior/senior level. [via]
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› Find signed collectible books: 'Field and Galois Theory'
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› Find signed collectible books: 'Field Theory'
Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials - the Kummer theory. [via]
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› Find signed collectible books: 'Finite Reflection Groups'
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› Find signed collectible books: 'A First Course in Noncommutative Rings'
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› Find signed collectible books: 'The Foundations of Topological Graph Theory'
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› Find signed collectible books: 'Fractals and Chaos'
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› Find signed collectible books: 'Fractals for the Classroom'
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› Find signed collectible books: 'Fundamentals of Contemporary Set Theory'
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› Find signed collectible books: 'General Topology'
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› Find signed collectible books: 'General Topology and Homotopy Theory'
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› Find signed collectible books: 'Geometry: A High School Course'
At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the difference between important results and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises. [via]
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› Find signed collectible books: 'Graph Theory'
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› Find signed collectible books: 'Graph Theory: An Introductory Course'
From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of well-known standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1 [via]
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› Find signed collectible books: 'Graphical Exploratory Data Analysis'
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› Find signed collectible books: 'Groups and Representations'
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› Find signed collectible books: 'Groups and Symmetry'
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› Find signed collectible books: 'Handbook of Mathematics and Computational Science'
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› Find signed collectible books: 'Handbook of Physics'
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› Find signed collectible books: 'Hidden Markov Models: Estimation and Control'
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› Find signed collectible books: 'Hilbert-Courant'
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› Find signed collectible books: 'I Want to Be a Mathematician: An Automathography'
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› Find signed collectible books: 'Intermediate Calculus'
Chapters 1-5 of this book contain all the material normally included in a third semester multivariable calculus course. Chapters 6-10 cover such topics as Fourier series, Green's and Stokes's Theorems, and the implicit function theorem. The authors have made their treatment of the topics in the second half of the book as independent of each other as possible, giving the instructor a high degree of flexibility in structuring the course. This part of the book provides the topics for a thorough introduction to advanced calculus. A brief chapter on linear algebra is included in the Appendix. [via]
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› Find signed collectible books: 'Introduction to Calculus and Analysis'
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› Find signed collectible books: 'Introduction to Elliptic Curves and Modular Forms'
The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. This new edition details the current state of knowledge of elliptic curves.
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› Find signed collectible books: 'An Introduction to Kolmogorov Complexity and Its Applications'
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› Find signed collectible books: 'An Introduction to Kolmogorov Complexity and Its Applications'
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› Find signed collectible books: 'Introduction to Linear Algebra'
This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual. [via]
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› Find signed collectible books: 'Introduction to Numerical Analysis'
New edition of a well-known classic in the field; Previous edition sold over 6000 copies worldwide; Fully-worked examples; Many carefully selected problems [via]
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› Find signed collectible books: 'Introduction to Smooth Manifolds'
Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why [via]
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› Find signed collectible books: 'An Introduction to the Theory of Groups'
Suitable for those who have studied abstract algebra and linear algebra as an undergraduate, this book covers advanced topics of the Theory of Groups. [via]
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› Find signed collectible books: 'The Iteration of Rational Functions'
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› Find signed collectible books: 'Lectures on Discrete Geometry'
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› Find signed collectible books: 'Linear Algebra'
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› Find signed collectible books: 'Linear Algebra: An Introduction to Abstract Mathematics'
Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems. [via]
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› Find signed collectible books: 'The Little Book of Big Primes'
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› Find signed collectible books: 'The Math of Money: Making Mathematical Sense of Your Personal Finances'
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› Find signed collectible books: 'Mathematical Biology : An Introduction'
Introduces some of the exciting problems that arise in biology and offers some indication of the wide spectrum of questions that modeling can address. This book is suitable for students interested in mathematical biology. [via]
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› Find signed collectible books: 'Mathematical Logic'
Mathematical Logic (Undergraduate Texts in Mathematics) [Hardcover]; Flum, J. [via]

› Find signed collectible books: 'Mathematical Logic: Undergraduate Texts in Mathematics'
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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 Methods of Classical Mechanics'
This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance. [via]
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› Find signed collectible books: 'The Mathematical Theory of Finite Element Methods'
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› Find signed collectible books: 'Mathematics: A Concise History and Philosophy'
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› Find signed collectible books: 'The Mathematics of Juggling'
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› Find signed collectible books: 'The Mathematics of Nonlinear Programming'
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› Find signed collectible books: 'Mathematics, Form and Function'
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› Find signed collectible books: 'Measure Theory'
This text is unique in accepting probability theory as an essential part of measure theory. Therefore, many examples are taken from probability, and probabilistic concepts such as independence and Markov processes are integrated into the text. Also, more attention than usual is paid to the role of algebras, and the metric defining the distance between sets as the measure of their symmetric difference is exploited more than is customary. [via]
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› Find signed collectible books: 'Numbers'
This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century. [via]
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› Find signed collectible books: 'Practical Numerical Algorithms for Chaotic Systems'
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› Find signed collectible books: 'Probability'

› Find signed collectible books: 'Probability'
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› Find signed collectible books: 'A Problem Seminar'
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› Find signed collectible books: 'Problem Solving Through Problems'
This is a practical anthology of some of the best elementary problems in different branches of mathematics. They are selected for their aesthetic appeal as well as their instructional value, and are organized to highlight the most common problem-solving techniques encountered in undergraduate mathematics. Readers learn important principles and broad strategies for coping with the experience of solving problems, while tackling specific cases on their own. The material is classroom tested and has been found particularly helpful for students preparing for the Putnam exam. For easy reference, the problems are arranged by subject. [via]
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› Find signed collectible books: 'Quantum Calculus'
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› Find signed collectible books: 'Ramanujan's Notebooks'
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› Find signed collectible books: 'Regression Analysis: Theory, Methods and Applications'
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› Find signed collectible books: 'Representation Theory: A First Course'
Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups. [via]
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› Find signed collectible books: 'Sheaf Theory'
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› Find signed collectible books: 'A Short Course on Spectral Theory'
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› Find signed collectible books: 'Topology'
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› Find signed collectible books: 'Transformation Geometry: An Introduction to Symmetry'
Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers. [via]
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› Find signed collectible books: 'Undergraduate Analysis'
This logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. From the reviews: "This material can be gone over quickly by the really well-prepared reader, for it is one of the book's pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it." --AMERICAN MATHEMATICAL SOCIETY [via]
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› Find signed collectible books: 'Unsolved Problems in Number Theory'
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› Find signed collectible books: 'Winning Solutions'
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