Mathematics ++ : Selected topics beyond the basic courses

By: Kantor, IdaContributor(s): Matousek, Jiri | Samal, RobertMaterial type: TextTextPublication details: USA: AMS, [c2015]Description: 343 pISBN: 9781470438456Subject(s): MathematicsLOC classification: QA11.2
Contents:
Chapter 1. Measure and integral Chapter 2. High-dimensional geometry and measure concentration Chapter 3. Fourier analysis Chapter 4. Representations of finite groups Chapter 5. Polynomials Chapter 6. Topology
Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 3 QA11.2 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00955
Total holds: 0

Chapter 1. Measure and integral
Chapter 2. High-dimensional geometry and measure concentration
Chapter 3. Fourier analysis
Chapter 4. Representations of finite groups
Chapter 5. Polynomials
Chapter 6. Topology

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.

There are no comments on this title.

to post a comment.