Polynomial methods in combinatorics / Larry Guth.

Format:

Book

Author/Creator:

Guth, Larry, 1977-

Series:

University Lecture Series, v. 64

Language:

English

Subjects (All):

Combinatorial geometry.

Polynomials.

Geometry, Algebraic.

Physical Description:

1 online resource (ix, 273 pages : illustrations)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2016]

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. Introduction Chapter 2. Fundamental examples of the polynomial method Chapter 3. Why polynomials? Chapter 4. The polynomial method in error-correcting codes Chapter 5. On polynomials and linear algebra in combinatorics Chapter 6. The Bezout theorem Chapter 7. Incidence geometry Chapter 8. Incidence geometry in three dimensions Chapter 9. Partial symmetries Chapter 10. Polynomial partitioning Chapter 11. Combinatorial structure, algebraic structure, and geometric structure Chapter 12. An incidence bound for lines in three dimensions Chapter 13. Ruled surfaces and projection theory Chapter 14. The polynomial method in differential geometry Chapter 15. Harmonic analysis and the Kakeya problem Chapter 16. The polynomial method in number theory

Notes:

Includes bibliographical references.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2016

Description based on print version record.

Other Format:

Print version: Guth, Larry, 1977- Polynomial methods in combinatorics /

ISBN:

9781470432140 (online)

Access Restriction:

Restricted for use by site license.