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The Functions of Mathematical Physics - Dover Books on Physics and Chemistry

by Harry Hochstadt
The Functions of Mathematical Physics - Dover Books on Physics and Chemistry - Thryft
The Functions of Mathematical Physics - Dover Books on Physics and Chemistry - Thryft

Bridging pure math and physics through functions.

If you revel in the elegance of mathematical precision and are fascinated by its applications in physics, "The Functions of Mathematical Physics" could be a goldmine for you. The book offers a digestible survey that connects profound mathematical theories with tangible physical phenomena, which means it's not just an academic read but a journey through the logic that shapes our understanding of the universe. Whether you're a student or a professional in these fields, this textbook could serve as an insightful reference or a comprehensive study aid.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.

The Functions of Mathematical Physics - Dover Books on Physics and Chemistry

by Harry Hochstadt
Condition guide

Book Condition Guide

Books in Like New Condition

This book may contain very minor cosmetic defects, but it is in pristine condition. There should be no yellowing, no foxing, no water damage, and no annotations of any kind on the cover and the pages. For paperbacks, there should not be any crease marks on the spine. This book is good as new — lucky you!

*Books may be missing bundle media (e.g. CD, e-book code), if included.

Books in Very Good Condition

This book has been used, but it is still in a clean condition. There should be no foxing or annotations of any kind on the inner pages, but a sparse amount may be present on the cover, title pages, or outside edges of the book. There should be no water damage of any kind. For paperbacks, there may be light crease marks on the spine.

*Books may be missing bundle media (e.g. CD, e-book code), if included.

Books in Good Condition

We do our best to ensure the quality of our books, but there is no escaping the wear and tear that comes with time. Slight foxing and some annotations may be present on the pages and the cover. There should be no water damage of any kind. For paperbacks, there may be several crease marks on the spine.

*Books may be missing bundle media (e.g. CD, e-book code), if included.

Books in Well Read Condition

This is a well-read book, which means that the previous owner probably really enjoyed it! The cover and pages may include moderate foxing and annotations, but the text is not obscured and still readable. Moderate cosmetic defects and minor water damage may be present on the edges of the book. For paperbacks, there may be multiple crease marks on the spine.

*Books may be missing bundle media (e.g. CD, e-book code), if included.

 

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ISBN: 9780486652146
Authors: Harry Hochstadt
Publisher: Dover Publications
Date of Publication: 2012-02-29
Format: Paperback
Related Collections: Science, Mathematics
Related Topics: Mathematics, Physics
Goodreads rating: 3.17
(rated by 6 readers)

Description

A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics.In the 18th and 19th centuries, the theorists who devoted themselves to this field — pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel — were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating membrane, some, such as those related to the theory of discontinuous groups, still remain of purely mathematical interest.Chapters One and Two examine orthogonal polynomials, with sections on such topics as the recurrence formula, the Christoffel-Darboux formula, the Weierstrass approximation theorem, and the application of Hermite polynomials to quantum mechanics.Chapter Three is devoted to the principal properties of the gamma function, including asymptotic expansions and Mellin-Barnes integrals. Chapter Four covers hypergeometric functions, including a review of linear differential equations with regular singular points, and a general method for finding integral representations.Chapters Five and Six are concerned with the Legendre functions and their use in the solutions of Laplace's equation in spherical coordinates, as well as problems in an n -dimension setting. Chapter Seven deals with confluent hypergeometric functions, and Chapter Eight examines, at length, the most important of these — the Bessel functions. Chapter Nine covers Hill's equations, including the expansion theorems.
 

Bridging pure math and physics through functions.

If you revel in the elegance of mathematical precision and are fascinated by its applications in physics, "The Functions of Mathematical Physics" could be a goldmine for you. The book offers a digestible survey that connects profound mathematical theories with tangible physical phenomena, which means it's not just an academic read but a journey through the logic that shapes our understanding of the universe. Whether you're a student or a professional in these fields, this textbook could serve as an insightful reference or a comprehensive study aid.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.