Symplectic Geometry (London Mathematical Society Lecture Note Series)
The area of symplectic geometry has developed rapidly in the past ten years with major new discoveries that were motivated by and have provided links with many other subjects such as dynamical systems, topology, gauge theory, mathematical physics, and singularity theory. The contributions to this volume reflect the richness of the subject and include expository papers as well as original research.
Hailed by The New York Times Book Review as "...nothing less than a major contribution to the scientific culture of this world," this major survey features the work of 18 outstanding mathematicians. Primary subjects include analytic geometry, algebra, ordinary and partial differential equations, the calculus of variations, functions of a complex variable, prime numbers, and theories of probability and functions. Other topics include linear and non-Euclidean geometry, topology, functional analysis, and more.
This quick-reference dictionary for math students, teachers, engineers, and statisticians defines more than 700 terms related to algebra, geometry, analytic geometry, trigonometry, probability, statistics, logic, and calculus. It also lists and defines mathematical symbols, includes a brief table of integrals, and describes how to derive key theorems. Filled with illustrative diagrams and equations.
This book's organizing principle is the interplay between groups and rings, where “rings” includes the ideas of modules. It contains basic definitions, complete and clear theorems (the first with brief sketches of proofs), and gives attention to the topics of algebraic geometry, computers, homology, and representations.
A superb collection of classical geometrical results. Each theorem is stated, its historical significance discussed, if there are any subtle points, they are mentioned, its relation to other theorems is also discussed. Many of the results presented are mostly forgotten after the invention of co-ordinate geometry by Descartes, but with the help of this book, the reader can get the feel of geometry the way it was in Pappus's time.
