Mathematics

10967 books

Singular Points of Complex Hypersurfaces - Paperback

$128.25

by John Milnor (Author)Fields Medal-winning mathematician John Milnor's classic treatment of singular points of complex hypersurfaces One of the greatest mathematicians of the twentieth century, John Milnor has made fundamental discoveries in diverse areas of mathematics, from topology and dynamical systems to algebraic K-theory. He is renowned as a master of mathematical exposition and his many books have become standard references in the field. Singular Points of Complex Hypersurfaces provi...

Morse Theory. (Am-51), Volume 51 - Paperback

$153.90

by John Milnor (Author)One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of...

Introduction to Arithmetic Theory of Automorphic Functions - Paperback

$188.10

by Goro Shimura (Author)The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number-theoretical aspects. After two chapters geared toward elementary levels, there follows a detailed treatment of the theory of Hecke operators, which associate zeta functions to modular...

Profinite Groups, Arithmetic, and Geometry. (Am-67), Volume 67 - Paperback

$188.10

by Stephen S. Shatz (Author)In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations. Number of Pages: 264 Dimensions: 0.66 x 9.24...

Lectures on p-ADIC L-Functions - Paperback

$124.83

by Kinkichi Iwasawa (Author)An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet. Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties. Continuing, he defines p-adic L-functions, proves their exist...

Strong Rigidity of Locally Symmetric Spaces - Paperback

$159.03

by G. Daniel Mostow (Author)Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity" this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of er...

Automorphic Forms on Adele Groups - Paperback

$196.65

by Stephen S. Gelbart (Author)This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL...

Introduction to Ergodic Theory - Paperback

$153.90

by Iakov Grigorevich Sinai (Author), V. Scheffer (Translator)Based on lectures in Erevan, this exposition of ergodic theory contains a rich collection of examples well chosen to introduce the reader to the main themes of the subject. Topics discussed include existence of invariant measures, geodesic flows on Riemannian manifolds, ergodic theory of an ideal gas, and entropy of dynamical systems. Number of Pages: 152 Dimensions: 0.43 x 9 x 5.98 IN Publication Date: March 21, 1977

Gauss Sums, Kloosterman Sums, and Monodromy Groups. (Am-116), Volume 116 - Paperback

$188.10

by Nicholas M. Katz (Author)The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, representation theory, and the sheaf-theoretic incarnations of such standard constructions of classical analysis as convolution and Fourier transform. The book is simultaneo...

Radically Elementary Probability Theory - Paperback

$124.83

by Edward Nelson (Author)Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form. Number of Pages: 107 Dimensions: 0.34 x 9.27 x 6.15 IN Publication Date: September 21, 1987

Handbook of Capture-Recapture Analysis - Paperback

$177.84

by Steven C. Amstrup (Editor), Trent L. McDonald (Editor), Bryan F. J. Manly (Editor)Every day, biologists in parkas, raincoats, and rubber boots go into the field to capture and mark a variety of animal species. Back in the office, statisticians create analytical models for the field biologists' data. But many times, representatives of the two professions do not fully understand one another's roles. This book bridges this gap by helping biologists understand state-of-the-art statistical meth...

Mathematics in Ancient Iraq: A Social History - Hardcover

$148.77

by Eleanor Robson (Author)This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an ...

Composition Methods in Homotopy Groups of Spheres - Paperback

$159.03

by Hiroshi Toda (Author)Hiroshi Toda's classic treatment of composition methods in homotopy groups of spheres from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University ...

A Mathematical Theory of Evidence - Paperback

$90.63

by Glenn Shafer (Author)Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probability. The theory draws on the work of A. P. Dempster but diverges from Depster's viewpoint by identifying his "lower probabilities" as epistemic probabilities and taking his rule for combining "upper and lower probabilities" as fundamen...

Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace, and Virtual Reality - Paperback

$196.65

by J. B. Kuipers (Author)Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects. Today, they are used in applications as various as describing the geometry of spacetime, guiding the Space Shuttle, and developing computer applications in virtual reality. In this book, J. B. Kuipers introd...

Analytic Theory of Global Bifurcation - Hardcover

$169.29

by Boris Buffoni (Author), John Toland (Author)Rabinowitz's classical global bifurcation theory, which concerns the study in-the-large of parameter-dependent families of nonlinear equations, uses topological methods that address the problem of continuous parameter dependence of solutions by showing that there are connected sets of solutions of global extent. Even when the operators are infinitely differentiable in all the variables and parameters, connectedness here cannot in general be repla...

The Calculus Lifesaver: All the Tools You Need to Excel at Calculus - Paperback

$32.00

by Adrian Banner (Author)For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A'...

Control Theoretic Splines: Optimal Control, Statistics, and Path Planning - Hardcover

$153.90

by Magnus Egerstedt (Author), Clyde Martin (Author)Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse appl...

Converging Realities: Toward a Common Philosophy of Physics and Mathematics - Hardcover

$135.00

by Roland Omnès (Author)The mysterious beauty, harmony, and consistency of mathematics once caused philosopher Hilary Putnam to term its existence a "miracle." Now, advances in the understanding of physics suggest that the foundations of mathematics are encompassed by the laws of nature, an idea that sheds new light on both mathematics and physics. The philosophical relationship between mathematics and the natural sciences is the subject of Converging Realities, the latest work by one of the...

$90.63

by David Alan Grier (Author)Before Palm Pilots and iPods, PCs and laptops, the term "computer" referred to the people who did scientific calculations by hand. These workers were neither calculating geniuses nor idiot savants but knowledgeable people who, in other circumstances, might have become scientists in their own right. When Computers Were Human represents the first in-depth account of this little-known, 200-year epoch in the history of science and technology. Beginning with the story ...

Negative Math: How Mathematical Rules Can Be Positively Bent - Paperback

$46.08

by Alberto A. Martínez (Author)A student in class asks the math teacher: "Shouldn't minus times minus make minus?" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto M...

$32.35

by David Ruelle (Author)How do scientists look at chance, or randomness, and chaos in physical systems? In answering this question for a general audience, Ruelle writes in the best French tradition: he has produced an authoritative and elegant book--a model of clarity, succinctness, and a humor bordering at times on the sardonic.Author BiographyDavid Ruelle is Professor of Theoretical Physics at the Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette. Number of Pages: 208 Dimensions: 0...

The Unified Neutral Theory of Biodiversity and Biogeography - Paperback

$177.84

by Stephen P. Hubbell (Author)Despite its supreme importance and the threat of its global crash, biodiversity remains poorly understood both empirically and theoretically. This ambitious book presents a new, general neutral theory to explain the origin, maintenance, and loss of biodiversity in a biogeographic context. Until now biogeography (the study of the geographic distribution of species) and biodiversity (the study of species richness and relative species abundance) have had largely di...

Polyominoes: Puzzles, Patterns, Problems, and Packings - Revised and Expanded Second Edition - Paperback

$51.21

by Solomon W. Golomb (Author)Inspiring popular video games like Tetris while contributing to the study of combinatorial geometry and tiling theory, polyominoes have continued to spark interest ever since their inventor, Solomon Golomb, introduced them to puzzle enthusiasts several decades ago. In this fully revised and expanded edition of his landmark book, the author takes a new generation of readers on a mathematical journey into the world of the deceptively simple polyomino. Golomb incorpo...

Mathematics and Plausible Reasoning, Volume 1: Induction and Analogy in Mathematics - Paperback

$80.37

by G. Polya (Author)A guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. I, on Inductio...

Mathematics and Plausible Reasoning, Volume 2: Logic, Symbolic and Mathematical - Paperback

$80.37

Mathematics Elsewhere: An Exploration of Ideas Across Cultures - Paperback

$94.05

by Marcia Ascher (Author)Mathematics Elsewhere is a fascinating and important contribution to a global view of mathematics. Presenting mathematical ideas of peoples from a variety of small-scale and traditional cultures, it humanizes our view of mathematics and expands our conception of what is mathematical. Through engaging examples of how particular societies structure time, reach decisions about the future, make models and maps, systematize relationships, and create intriguing figures, Mar...

An Invitation to Modern Number Theory - Hardcover

$188.10

by Steven J. Miller (Author), Ramin Takloo-Bighash (Author)In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more tha...

The Geographic Spread of Infectious Diseases: Models and Applications: Models and Applications - Hardcover

$138.51

by Lisa Sattenspiel (Author)The 1918-19 influenza epidemic killed more than fifty million people worldwide. The SARS epidemic of 2002-3, by comparison, killed fewer than a thousand. The success in containing the spread of SARS was due largely to the rapid global response of public health authorities, which was aided by insights resulting from mathematical models. Models enabled authorities to better understand how the disease spread and to assess the relative effectiveness of different contro...

Totally Nonnegative Matrices - Hardcover

$128.25

by Shaun M. Fallat (Author), Charles R. Johnson (Author)Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics.The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagona...

Classical Mathematical Logic: The Semantic Foundations of Logic - Hardcover

$153.90

by Richard L. Epstein (Author), Leslaw W. Szczerba (Contribution by)In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real num...

The Mathematician's Mind: The Psychology of Invention in the Mathematical Field - Paperback

$43.13

by Jacques Hadamard (Author)Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one...