Mathematics++: Selected Topics Beyond the Basic Courses (Student Mathematical Library) - Softcover

Kantor, Ida; Matousek, Jiri; Samal, Robert

Softcover

ISBN 10: 1470422611 ISBN 13: 9781470422615

Publisher: American Mathematical Society, 2015

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2015
• Language: English
• ISBN 10: 1470422611
• ISBN 13: 9781470422615
• Binding: Paperback
• Number of pages: 353