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

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Book Description

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

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Book Description


Mathematics of Fractals

Mathematics of Fractals PDF Author: Masaya Yamaguchi
Publisher: American Mathematical Soc.
ISBN: 9780821805374
Category : Mathematics
Languages : en
Pages : 104

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Book Description
This book aims at providing a handy explanation of the notions behind the self-similar sets called "fractals" and "chaotic dynamical systems". The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass's) and chaotic dynamical systems; these nowhere-differentiable functions are generating functions of chaotic dynamical systems. These functions are shown to be in a sense unique solutions of certain boundary problems. The last chapter of the book treats harmonic functions on fractal sets.

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

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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.

One-dimensional Stable Distributions

One-dimensional Stable Distributions PDF Author: V. M. Zolotarev
Publisher: American Mathematical Soc.
ISBN: 0821845195
Category : Mathematics
Languages : en
Pages : 298

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Book Description
This is the first book specifically devoted to a systematic exposition of the essential facts known about the properties of stable distributions. In addition to its main focus on the analytic properties of stable laws, the book also includes examples of the occurrence of stable distributions in applied problems and a chapter on the problem of statistical estimation of the parameters determining stable laws. A valuable feature of the book is the author's use of several formally different ways of expressing characteristic functions corresponding to these laws.

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

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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.

Riemannian Geometry

Riemannian Geometry PDF Author: Takashi Sakai
Publisher: American Mathematical Soc.
ISBN: 9780821889565
Category : Mathematics
Languages : en
Pages : 378

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Book Description
This volume is an English translation of Sakai's textbook on Riemannian Geometry which was originally written in Japanese and published in 1992. The author's intent behind the original book was to provide to advanced undergraduate and graudate students an introduction to modern Riemannian geometry that could also serve as a reference. The book begins with an explanation of the fundamental notion of Riemannian geometry. Special emphasis is placed on understandability and readability, to guide students who are new to this area. The remaining chapters deal with various topics in Riemannian geometry, with the main focus on comparison methods and their applications.

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

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Book Description


Geometry

Geometry PDF Author: V. V. Prasolov
Publisher: American Mathematical Soc.
ISBN: 1470425432
Category : Mathematics
Languages : en
Pages : 274

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Book Description
This book provides a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic geometries. Also included is a chapter on infinite-dimensional generalizations of Euclidean and affine geometries. A uniform approach to different geometries, based on Klein's Erlangen Program is suggested, and similarities of various phenomena in all geometries are traced. An important notion of duality of geometric objects is highlighted throughout the book. The authors also include a detailed presentation of the theory of conics and quadrics, including the theory of conics for non-Euclidean geometries. The book contains many beautiful geometric facts and has plenty of problems, most of them with solutions, which nicely supplement the main text. With more than 150 figures illustrating the arguments, the book can be recommended as a textbook for undergraduate and graduate-level courses in geometry.

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

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Book Description


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

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Book Description
None available in plain English.