An Essay on the Mathematical Principles of Physics PDF Download

Author: James Challis
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 154

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Author: James Challis
Publisher: BoD – Books on Demand
ISBN: 3368190687
Category : Fiction
Languages : en
Pages : 138

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Reprint of the original, first published in 1873.

Author: James Challis
Publisher:
ISBN: 9783337189679
Category :
Languages : en
Pages :

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Author: James Clerk Maxwell
Publisher: MIT Press
ISBN: 9780262070942
Category : Atoms
Languages : en
Pages : 608

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Author: Harry Hochstadt
Publisher: Courier Corporation
ISBN: 0486168786
Category : Science
Languages : en
Pages : 354

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Book 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.

Author: John Herapath
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 436

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Author: Elizabeth Garber
Publisher: Springer Science & Business Media
ISBN: 1461217660
Category : Science
Languages : en
Pages : 410

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This work is the first explicit examination of the key role that mathematics has played in the development of theoretical physics and will undoubtedly challenge the more conventional accounts of its historical development. Although mathematics has long been regarded as the "language" of physics, the connections between these independent disciplines have been far more complex and intimate than previous narratives have shown. The author convincingly demonstrates that practices, methods, and language shaped the development of the field, and are a key to understanding the mergence of the modern academic discipline. Mathematicians and physicists, as well as historians of both disciplines, will find this provocative work of great interest.

Author: James Clerk Maxwell
Publisher:
ISBN:
Category :
Languages : en
Pages : 844

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Author: James Clerk Maxwell
Publisher:
ISBN:
Category : Electromagnetism
Languages : en
Pages : 846

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Author: Henri Poincaré
Publisher: DigiCat
ISBN:
Category : History
Languages : en
Pages : 35

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Book Description
You will marvel at these principles of mathematical physics written by Henri Poincare, one of the most famous French mathematicians. Contents: History of Mathematical Physics, The Present Crisis of Mathematical Physics, The Future of Mathematical Physics.