Princeton University Press | 2008-10-05 | ISBN: 0691118809 | 1008 pages | PDF | 8,3 MB
This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more.
Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics, providing the context and broad perspective that are vital at a time of increasing specialization in the field. Packed with information and presented in an accessible style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.
Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors
Presents major ideas and branches of pure mathematics in a clear, accessible style
Defines and explains important mathematical concepts, methods, theorems, and open problems
Introduces the language of mathematics and the goals of mathematical research
Covers number theory, algebra, analysis, geometry, logic, probability, and more
Traces the history and development of modern mathematics
Profiles more than ninety-five mathematicians who influenced those working today
Explores the influence of mathematics on other disciplines
Includes bibliographies, cross-references, and a comprehensive index
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Thomas Alva Edison: Inventing the Electric Age
The Millennium Prize Problems
Analytic Number Theory
Surveys in Noncommutative Geometry
The Mathematics of Novelty: Badiou's Minimalist Metaphysics
Harmonic Analysis, the Trace Formula, and Shimura Varieties
Scheduling: Theory, Algorithms, and Systems
Pareto Optimality, Game Theory and Equilibria
Almgren - Plateau's problem
Asymptotic Solutions of Differential Equations and Their Applications
| Astronomy and Cosmology | Physics |
| Philosophy | Medicine |
| Mathematics | DSP |
| Cryptography | Chemistry |
| Biology and Genetics | Psychology and Behavior |
The Millennium Prize Problems(07-10)
Analytic Number Theory(07-10)
Surveys in Noncommutative Geometry(07-10)
The Mathematics of Novelty: Badiou's Min(07-10)
Harmonic Analysis, the Trace Formula, an(07-10)
Scheduling: Theory, Algorithms, and Syst(07-08)
Pareto Optimality, Game Theory and Equil(07-08)
Almgren - Plateau's problem(07-08)
Asymptotic Solutions of Differential Equ(07-07)
Statistical Distributions(07-07)
Lectures on Generating Functions(07-05)
Structural Equation Modelling: A Bayesia(07-04)
A Guide to Matlab: For Beginners and Exp(868)
Digital Signal Processing Using MATLAB V(794)
Numerical Methods for Engineers and Scie(778)
Excel for Scientists and Engineers: Nume(711)
Complex Variables: Introduction and Appl(599)
Numerical Methods for Laplace Transform (500)
A Modern Introduction to Probability and(487)
International Mathematical Olympiads 195(477)
Advanced Calculus Demystified (2007)(423)
A First Course in Abstract Algebra(381)
Schaum's Outline of Statistics 4th Editi(343)
Mathematical Olympiad Challenges(320)
