Synopses & Reviews
The Oxford Users' Guide to Mathematics represents a comprehensive handbook on mathematics. It covers a broad spectrum of mathematics including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimization, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. This is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics.
The book offers a broad modern picture of mathematics starting from basic material up to more advanced topics. It emphasizes the relations between the different branches of mathematics and the applications of mathematics in engineering and the natural sciences. The book addresses students in engineering, mathematics, computer science, natural sciences, high-school teachers, as well as a broad spectrum of practitioners in industry and professional researchers. A comprehensive table at the end of the handbook embeds the history of mathematics into the history of human culture. The bibliography represents a comprehensive collection of the contemporary standard literature in the main fields of mathematics.
Review
"With so much mathematics in compact form, this book will be useful as a quick reference for those working in such fields as physics, engineering, and economics, as well as for mathematicians."--CHOICE
Synopsis
- Easy-to-use, comprehensive desk reference
- Conveys a lively, modern picture of mathematics
- Wide scope from elementary facts to modern, highly sophisticated results and methods
About the Author
The editor and main author,
Eberhard Zeidler, is acting director of the Max-Planck Institute for Mathematics in the Sciences in Leipzig. He is a member of the German Academy of Natural Scientists Leopoldina. The author,
Wolfgang Hackbusch, is director at the Max-Planck Institute for Mathematics in the Sciences in Leipzig. He is a member of the Berlin Academy of Sciences. The author,
Hans Rudolf Schwarz, retired from the University of Zurich.
Table of Contents
0. Introduction: Formulas, Graphs, Tables
1. Analysis
2. Algebra
3. Geometry
4. Foundations of Mathematics
5. Calculus of Variations and Optimization
6. Stochastic Calculus Mathematics of Chance
7. Numerical Mathematics
8. Appendices: History, Names, Index, Notations, Fundamental Constants