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Solitons, Geometry, and Topology: On the Crossroad

Solitons, Geometry, and Topology: On the Crossroad PDF Author: V. M. Buchstaber
Publisher: American Mathematical Soc.
ISBN: 9780821806661
Category : Geometry
Languages : en
Pages : 204

Book Description

Solitons, Geometry, and Topology: On the Crossroad

Solitons, Geometry, and Topology: On the Crossroad PDF Author: V. M. Buchstaber
Publisher: American Mathematical Soc.
ISBN: 9780821806661
Category : Geometry
Languages : en
Pages : 204

Book Description

Extrinsic Geometry of Convex Surfaces

Extrinsic Geometry of Convex Surfaces PDF Author: Alekseĭ Vasilʹevich Pogorelov
Publisher: American Mathematical Soc.
ISBN: 9780821886618
Category : Mathematics
Languages : en
Pages : 680

Book Description

Modular Forms and Hecke Operators

Modular Forms and Hecke Operators PDF Author: A. N. Andrianov
Publisher: American Mathematical Soc.
ISBN: 1470418681
Category :
Languages : en
Pages : 346

Book Description
he concept of Hecke operators was so simple and natural that, soon after Hecke's work, scholars made the attempt to develop a Hecke theory for modular forms, such as Siegel modular forms. As this theory developed, the Hecke operators on spaces of modular forms in several variables were found to have arithmetic meaning. Specifically, the theory provided a framework for discovering certain multiplicative properties of the number of integer representations of quadratic forms by quadratic forms. Now that the theory has matured, the time is right for this detailed and systematic exposition of its fundamental methods and results. Features: The book starts with the basics and ends with the latest results, explaining the current status of the theory of Hecke operators on spaces of holomorphic modular forms of integer and half-integer weight congruence-subgroups of integral symplectic groups.Hecke operators are considered principally as an instrument for studying the multiplicative properties of the Fourier coefficients of modular forms. It is the authors' intent that Modular Forms and Hecke Operators help attract young researchers to this beautiful and mysterious realm of number theory.

Methods of Information Geometry

Methods of Information Geometry PDF Author: Shun-ichi Amari
Publisher: American Mathematical Soc.
ISBN: 9780821843024
Category : Computers
Languages : en
Pages : 220

Book Description
Information geometry provides the mathematical sciences with a fresh framework of analysis. This book presents a comprehensive introduction to the mathematical foundation of information geometry. It provides an overview of many areas of applications, such as statistics, linear systems, information theory, quantum mechanics, and convex analysis.

Introduction to the Theory of Linear Nonselfadjoint Operators

Introduction to the Theory of Linear Nonselfadjoint Operators PDF Author: Israel Gohberg
Publisher: American Mathematical Soc.
ISBN: 9780821886502
Category : Mathematics
Languages : en
Pages : 402

Book Description

Linear and Quasi-linear Equations of Parabolic Type

Linear and Quasi-linear Equations of Parabolic Type PDF Author: Olʹga A. Ladyženskaja
Publisher: American Mathematical Soc.
ISBN: 9780821815731
Category : Mathematics
Languages : en
Pages : 74

Book Description
Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.

Geometric Theory of Functions of a Complex Variable

Geometric Theory of Functions of a Complex Variable PDF Author: Gennadiĭ Mikhaĭlovich Goluzin
Publisher: American Mathematical Soc.
ISBN: 9780821886557
Category : Functions of complex variables
Languages : en
Pages : 690

Book Description

Second Order Elliptic Equations and Elliptic Systems

Second Order Elliptic Equations and Elliptic Systems PDF Author: Ya-Zhe Chen
Publisher: American Mathematical Soc.
ISBN: 0821819240
Category : Mathematics
Languages : en
Pages : 266

Book Description
There are two parts to the book. In the first part, a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations is presented. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists.

Statistical Decision Rules and Optimal Inference

Statistical Decision Rules and Optimal Inference PDF Author: N. N. Cencov
Publisher: American Mathematical Soc.
ISBN: 9780821813478
Category : Mathematics
Languages : en
Pages : 514

Book Description
None available in plain English.

Generalized Cohomology

Generalized Cohomology PDF Author: Akira Kōno
Publisher: American Mathematical Soc.
ISBN: 9780821835142
Category : Mathematics
Languages : en
Pages : 276

Book Description
Aims to give an exposition of generalized (co)homology theories that can be read by a group of mathematicians who are not experts in algebraic topology. This title starts with basic notions of homotopy theory, and introduces the axioms of generalized (co)homology theory. It also discusses various types of generalized cohomology theories.
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