Mathematical Physics

Mathematical Physics PDF Author:
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 232

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Book Description

Mathematical Physics

Mathematical Physics PDF Author:
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 232

Get Book Here

Book Description


Mathematical Theorems

Mathematical Theorems PDF Author: Lyudmila Alexeyeva
Publisher: BoD – Books on Demand
ISBN: 1838800719
Category :
Languages : en
Pages : 149

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Book Description
The main content of this book is related to construction of analytical solutions of differential equations and systems of mathematical physics, to development of analytical methods for solving boundary value problems for such equations and the study of properties of their solutions. A wide class of equations (elliptic, parabolic, and hyperbolic) is considered here, on the basis of which complex wave processes in biological and physical media can be simulated.The method of generalized functions presented in the book for solving boundary value problems of mathematical physics is universal for constructing solutions of boundary value problems for systems of linear differential equations with constant coefficients of any type. In the last sections of the book, the issues of calculating functions based on Padé approximations, binomial expansions, and fractal representations are considered. The book is intended for specialists in the field of mathematical and theoretical physics, mechanics and biophysics, students of mechanics, mathematics, physics and biology departments of higher educational institutions.

The Schrödinger Equation

The Schrödinger Equation PDF Author: F.A. Berezin
Publisher: Springer Science & Business Media
ISBN: 9401131546
Category : Mathematics
Languages : en
Pages : 573

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Book Description
This volume deals with those topics of mathematical physics, associated with the study of the Schrödinger equation, which are considered to be the most important. Chapter 1 presents the basic concepts of quantum mechanics. Chapter 2 provides an introduction to the spectral theory of the one-dimensional Schrödinger equation. Chapter 3 opens with a discussion of the spectral theory of the multi-dimensional Schrödinger equation, which is a far more complex case and requires careful consideration of aspects which are trivial in the one-dimensional case. Chapter 4 presents the scattering theory for the multi-dimensional non-relativistic Schrödinger equation, and the final chapter is devoted to quantization and Feynman path integrals. These five main chapters are followed by three supplements, which present material drawn on in the various chapters. The first two supplements deal with general questions concerning the spectral theory of operators in Hilbert space, and necessary information relating to Sobolev spaces and elliptic equations. Supplement 3, which essentially stands alone, introduces the concept of the supermanifold which leads to a more natural treatment of quantization. Although written primarily for mathematicians who wish to gain a better awareness of the physical aspects of quantum mechanics and related topics, it will also be useful for mathematical physicists who wish to become better acquainted with the mathematical formalism of quantum mechanics. Much of the material included here has been based on lectures given by the authors at Moscow State University, and this volume can also be recommended as a supplementary graduate level introduction to the spectral theory of differential operators with both discrete and continuous spectra. This English edition is a revised, expanded version of the original Soviet publication.

Oceanology

Oceanology PDF Author:
Publisher:
ISBN:
Category : Oceanography
Languages : en
Pages : 472

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Book Description


Integrability, Quantization, and Geometry: I. Integrable Systems

Integrability, Quantization, and Geometry: I. Integrable Systems PDF Author: Sergey Novikov
Publisher: American Mathematical Soc.
ISBN: 1470455919
Category : Education
Languages : en
Pages : 516

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Book Description
This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.

Geometrical Methods of Mathematical Physics

Geometrical Methods of Mathematical Physics PDF Author: Bernard F. Schutz
Publisher: Cambridge University Press
ISBN: 1107268141
Category : Science
Languages : en
Pages : 272

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Book Description
In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.

Theory of P-adic Distributions

Theory of P-adic Distributions PDF Author: S. Albeverio
Publisher: Cambridge University Press
ISBN: 0521148561
Category : Mathematics
Languages : en
Pages : 369

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Book Description
A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.

Guide to Information Sources in Mathematics and Statistics

Guide to Information Sources in Mathematics and Statistics PDF Author: Martha A. Tucker
Publisher: Bloomsbury Publishing USA
ISBN: 0313053375
Category : Language Arts & Disciplines
Languages : en
Pages : 362

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Book Description
This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.

Recent Research in Polynomials

Recent Research in Polynomials PDF Author: Faruk Özger
Publisher: BoD – Books on Demand
ISBN: 1837694966
Category : Mathematics
Languages : en
Pages : 196

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Book Description
Polynomials are incredibly useful mathematical tools that have a wide array of applications. This book provides a comprehensive overview of polynomials and recent developments in the field. It includes ten chapters that address such topics as polynomials-based cyclic coding, Hermite polynomials, Routh polynomials, fitting parametric polynomials with control point coefficients, the thermoelastic wave model, and much more.

Characteristic Functions, Scattering Functions and Transfer Functions

Characteristic Functions, Scattering Functions and Transfer Functions PDF Author: Daniel Alpay
Publisher: Springer Science & Business Media
ISBN: 3034601832
Category : Mathematics
Languages : en
Pages : 393

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Book Description
Transfer functions and characteristic functions proved to be key in operator theory and system theory. Moshe Livic played a major role in developing these functions, and this book of papers dedicated to his memory covers a wide variety of topics in the field.