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St. Petersburg Mathematical Journal

Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 642

Book Description

Lebesgue and Sobolev Spaces with Variable Exponents

Author: Lars Diening
Publisher: Springer
ISBN: 3642183638
Category : Mathematics
Languages : en
Pages : 516

Book Description
The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.

Geometrical Theory of Diffraction

$Geometrical Theory of Diffraction PDF$ Author: Vladimir Andreevich Borovikov
Publisher: IET
ISBN: 9780852968307
Category : Mathematics
Languages : en
Pages : 408

Book Description
This book details the ideas underlying geometrical theory of diffraction (GTD) along with its relationships with other EM theories.

Transformation Groups for Beginners

Author: Sergeĭ Vasilʹevich Duzhin
Publisher: American Mathematical Soc.
ISBN: 0821836439
Category : Mathematics
Languages : en
Pages : 258

Book Description
Presents a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. This work introduces the notions of a transformation group and of an abstract group. It gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations.

Lectures on Quantum Mechanics for Mathematics Students

Author: L. D. Faddeev
Publisher: American Mathematical Soc.
ISBN: 082184699X
Category : Science
Languages : en
Pages : 250

Book Description
Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.

Elementary Topology

Author: O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher: American Mathematical Soc.
ISBN: 9780821886250
Category : Mathematics
Languages : en
Pages : 432

Book Description
This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.

Transformation Groups in Differential Geometry

Author: Shoshichi Kobayashi
Publisher: Springer Science & Business Media
ISBN: 3642619819
Category : Mathematics
Languages : en
Pages : 192

Book Description
Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in §§ 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In § 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip §§ 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965.

A Course in Metric Geometry

Author: Dmitri Burago
Publisher: American Mathematical Soc.
ISBN: 0821821296
Category : Mathematics
Languages : en
Pages : 434

Book Description
"Metric geometry" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Caratheodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces).

Mathematical Circles

Author: Sergeĭ Aleksandrovich Genkin
Publisher: American Mathematical Soc.
ISBN: 0821804308
Category : Mathematics
Languages : en
Pages : 286

Book Description
Suitable for both students and teachers who love mathematics and want to study its various branches beyond the limits of school curriculum. This book contains vast theoretical and problem material in main areas of what authors consider to be 'extracurricular mathematics'.