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Mathematics

Selected Topics Beyond the Basic Courses

Ida Kantor (author) Jiri Matousek (author)
Robert Samal (author)

ISBN: 9781470422615

Publication Date: Oct 2015

Format: Paperback

Offers a concise introduction to six areas of 20th century mathematics - measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology - providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. For each area, the authors introduce basic notions, examples, and results.
£52.50

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Mathematics is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications-some quite surprising-in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order. It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields.
Pages 353
Dimensions 216 x 140
Date Published 30 Oct 2015
Publisher American Mathematical Society
Series Student Mathematical Library
Series Part 75
Subject/s Algebra   Calculus & mathematical analysis   Topology   Applied mathematics   Number theory   Algebraic geometry   Numerical analysis  
  • Measaure and integral
  • High-dimensional geometry and measure concentration
  • Fourier analysis
  • Representations of finite groups
  • Polynomials
  • Topology
  • Index
Ida Kantor, Charles University, Prague, Czech Republic.

Jiri Matousek, Charles University, Prague, Czech Republic, and ETH, Zurich, Switzerland.

Robert Samal, Charles University, Prague, Czech Republic.

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