American Society
In American Society: How It Really Works, Erik Olin Wright and Joel Rogers ask several key questions: What kind of society is America? How does it really work and why is it the way it is? In what ways does it need changing, and how can those chang...
Elements of Homology Theory
The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homol...
Mathematical Models for Society and Biology
Mathematical Models for Society and Biology , 2e, is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical...
Philosophy of Mathematics
The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intu...
Philosophy of Mathematics
The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intu...
The Kinematics of Vorticity
Unique graduate-level monograph presents a heavily mathematical treatment with applications extending to many areas of physics and engineering. "A valuable compendium of results." - Bulletin of the American Mathematical Society. ...
SOCIETY IN AMERICA
SOCIETY IN AMERICA
Society in America
Harriet Martineau brought to her observations the convictions of a vehement English liberal and an astonishingly modern sociological approach. In 1834 she wrote the first draft of How to Observe Manners and Morals--perhaps the earliest book on the...
Meaning of Proofs
Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story. In The Meaning of Proofs, mathematician Gabriele Lolli argues that to write a mathematical proof is tantamount to inventing...
Introduction to Linear Programming and Game Theory
Praise for the Second Edition: "This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications." -Mathematical Reviews of the American Mathematical Society A...
Plane Algebraic Curves
The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the classic entry point to the subject: plane algebraic curves. Here one quic...
Kvant Selecta, Part 1
This volume and ""Kvant Selecta: Algebra and Analysis, II"" (MAWRLD/15) are the first volumes of articles published from 1970 to 1990 in the Russian journal, ""Kvant"". The influence of this magazine on math...
Kvant Selecta, Volume 1
There is a tradition in Russia that holds that mathematics can be both challenging and fun. One fine outgrowth of that tradition is the magazine, ""Kvant"", which has been enjoyed by many of the best students since its founding...
Complex Tori and Abelian Varieties
This graduate-level textbook introduces the classical theory of complex tori and abelian varieties, while presenting in parallel more modern aspects of complex algebraic and analytic geometry. Beginning with complex elliptic curves, the book moves...
Foliations, Volume 1
This is the first of two volumes on the qualitative theory of foliations. This volume is divided into three parts. It is extensively illustrated throughout and provides a large number of examples. Part 1 is intended as a 'primer' in foliation theo...
Mathematics Education Research
Mathematics education research in undergraduate mathematics has increased significantly in the last decade and shows no signs of abating in the near future. Thus far, this research has often been associated with innovations in curriculum such as c...
Problems in Mathematical Analysis I
We learn by doing. We learn mathematics by doing problems. This book is the first volume of a series of books of problems in mathematical analysis. It is mainly intended for students studying the basic principles of analysis. However, given its or...
Introduction to Topology
This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. In particular, ideas and resul...
Geometry of Characteristic Classes
Characteristic classes are central to the modern study of the topology and geometry of manifolds. They were first introduced in topology, where, for instance, they could be used to define obstructions to the existence of certain fiber bundles. Cha...
Mathematics of Soap Films
Nature tries to minimize the surface area of a soap film through the action of surface tension. The process can be understood mathematically by using differential geometry, complex analysis, and the calculus of variations. This book employs ingred...
Course in Operator Theory
Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, mathematical physics, and more. This text covers the central themes of operator ...
Theory of Matrices, Volume 2
This treatise, by one of Russia's leading mathematicians, gives in easily accessible form a coherent account of matrix theory with a view to applications in mathematics, theoretical physics, statistics, electrical engineering, etc. The individual ...
Calculus of Variations and Partial Differential Equations of First Order
In this second English edition of Caratheodory's famous work (originally published in German), the two volumes of the first edition have been combined into one (with a combination of the two indexes into a single index). There is a deep and fundam...
Extension Theory
The Ausdehnungslehre of 1862 is Grassmann's most mature presentation of his 'extension theory'. The work was unique in capturing the full sweep of his mathematical achievements. Compared to Grassmann's first book, ""Lineale Ausdehnungsle...
What's Happening in the Mathematical Sciences, Volume 3
Beautifully produced and marvelously written, ""What's Happening in the Mathematical Sciences, Volume 3"", contains 10 articles on recent developments in the field. In an engaging, reader-friendly style, Barry Cipra explores to...
Topics in Classical Automorphic Forms
This book is based on the notes from the graduate course given by the author at Rutgers University in the fall of 1994 and the spring of 1995. The main goal of the book is to acquaint the reader with various perspectives of the theory of automorph...
What's Happening in the Mathematical Sciences, Volume 4
This volume is fourth in the much-acclaimed 'AMS' series, ""What's Happening in the Mathematical Sciences"". The lively style and in-depth coverage of some of the most important 'happenings' in mathematics today make this publi...
Introduction to Morse Theory
In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relation...
Formalization of Set Theory Without Variables
Completed in 1983, this work culminates nearly half a century of the late Alfred Tarski's foundational studies in logic, mathematics, and the philosophy of science. Written in collaboration with Steven Givant, the book appeals to a very broad audi...
Algebraic Geometry, Volume 3
Algebraic geometry plays an important role in several branches of science and technology. This is the last of three volumes by Kenji Ueno algebraic geometry. This, in together with ""Algebraic Geometry 1"" and ""Algeb...
Century of Mathematics in America, Part 1
In the 100 years since the founding of the AMS, the American mathematical community has grown from a small group heavily dependent on European mathematicians to a large and influential group that in many areas sets the standard for the rest of the...
Riemannian Geometry
This volume is an English translation of Sakai's textbook on Riemannian geometry which was originally written in Japanese and published in 1992. The author's intent behind the original book was to provide to advanced undergraduate and graduate stu...
Linear and Quasi-linear Equations of Parabolic Type
In this volume boundary value problems are studied from two points of view; solvability, unique or otherwise, and the effect of various smoothness properties of the given functions on the smoothness of the solutions. There are seven chapters conta...
Course in Differential Geometry
This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. Chapter I explains basic definitions and gives the proofs of the important theorems of Whitney ...
Principles of Functional Analysis
Functional analysis plays a crucial role in the applied sciences as well as in mathematics. It is a beautiful subject that can be motivated and studied for its own sake. In keeping with this basic philosophy, the author has made this introductory ...
Kolmogorov in Perspective
The editorial board for the History of Mathematics series has selected for this volume a series of translations from two Russian publications, Kolmogorov in Remembrance and Mathematics and its Historical Development. This book, Kolmogorov in Persp...
Analytic Function Theory, Volume 2
This famous work is a textbook that emphasizes the conceptual and historical continuity of analytic function theory. The second volume broadens from a textbook to a textbook-treatise, covering the 'canonical' topics (including elliptic functions, ...
Mathematical Gift, Volume 3
This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory...
Zeros of Gaussian Analytic Functions and Determinantal Point Processes
The book examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients. These processes share a property of 'point-repulsion', whe...
Brief Introduction to Classical, Statistical, and Quantum Mechanics
This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related fields. It is based on a graduate course given in 2006-07 at the Courant ...