Theory of Extremal Problems
Title | Theory of Extremal Problems PDF eBook |
Author | |
Publisher | Elsevier |
Pages | 473 |
Release | 2009-06-15 |
Genre | Mathematics |
ISBN | 0080875270 |
Theory of Extremal Problems
Extremal Problems for Finite Sets
Title | Extremal Problems for Finite Sets PDF eBook |
Author | Peter Frankl |
Publisher | American Mathematical Soc. |
Pages | 234 |
Release | 2018-08-15 |
Genre | Mathematics |
ISBN | 1470440393 |
One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study. The first half of the book provides classic results with some new proofs including a complete proof of the Ahlswede-Khachatrian theorem as well as some recent progress on the Erdos matching conjecture. The second half presents some combinatorial structural results and linear algebra methods including the Deza-Erdos-Frankl theorem, application of Rodl's packing theorem, application of semidefinite programming, and very recent progress (obtained in 2016) on the Erdos-Szemeredi sunflower conjecture and capset problem. The book concludes with a collection of challenging open problems.
Fundamental Principles of the Theory of Extremal Problems
Title | Fundamental Principles of the Theory of Extremal Problems PDF eBook |
Author | Vladimir Mikhailovich Tikhomirov |
Publisher | |
Pages | 136 |
Release | 1986 |
Genre | |
ISBN |
Homotopy of Extremal Problems
Title | Homotopy of Extremal Problems PDF eBook |
Author | Stanislav V. Emelyanov |
Publisher | Walter de Gruyter |
Pages | 317 |
Release | 2011-12-22 |
Genre | Mathematics |
ISBN | 3110893010 |
This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter. The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications are considered, e.g., variational calculus, control theory and bifurcations theory. Thorough treatment of parameter-dependent extremal problems with local minimum values. Includes many applications, e.g., variational calculus, control theory and bifurcations theory. Intended for specialists in the field of nonlinear analysis and its applications as well as for students specializing in these subjects.
Fundamental Principles in the Theory of Extremal Problems
Title | Fundamental Principles in the Theory of Extremal Problems PDF eBook |
Author | Vladimir Mikhaĭlovich Tikhomirov |
Publisher | |
Pages | 144 |
Release | 1986-11-17 |
Genre | Mathematics |
ISBN |
This monograph deals with the general principles of the theory of extremal problems. The author discusses Lagrange's principle, the duality principle, the complete elimination of restrictions, the Hamilton-Jacobi principle, the extension of extremal problems, and the invariance principle.
The Theory of Extremal Problems for Univalent Functions of Class S
Title | The Theory of Extremal Problems for Univalent Functions of Class S PDF eBook |
Author | Konstantin Ivanovich Babenko |
Publisher | American Mathematical Soc. |
Pages | 348 |
Release | 1975 |
Genre | Mathematics |
ISBN | 9780821830017 |
Discusses univalent functions and extremal problems.
Theory of extremal problems
Title | Theory of extremal problems PDF eBook |
Author | |
Publisher | |
Pages | |
Release | 1979 |
Genre | Calculus of variations |
ISBN |