Author: Y. B. Zeldovich
Publisher: Prentice Hall
ISBN: 9780133876482
Category : Mathematics
Languages : en
Pages : 560

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Book Description

Author: Y. B. Zeldovich
Publisher:
ISBN: 9780828507257
Category :
Languages : en
Pages : 494

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Author: Jakov Borisovič Zel'dović
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Author: Hiroyuki Shima
Publisher: Springer Science & Business Media
ISBN: 3540878645
Category : Science
Languages : en
Pages : 693

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Book Description
Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.

Author: I︠A︡kov Borisovich Zelʹdovich
Publisher:
ISBN:
Category : Calculus, Integral
Languages : en
Pages : 504

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Author: Michael Spivak
Publisher:
ISBN: 9780914098324
Category : Mechanics
Languages : en
Pages : 733

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Author: V. I. Smirnov
Publisher: Elsevier
ISBN: 148319471X
Category : Mathematics
Languages : en
Pages : 826

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Book Description
A Course of Higher Mathematics, Volume IV provides information pertinent to the theory of the differential equations of mathematical physics. This book discusses the application of mathematics to the analysis and elucidation of physical problems. Organized into four chapters, this volume begins with an overview of the theory of integral equations and of the calculus of variations which together play a significant role in the discussion of the boundary value problems of mathematical physics. This text then examines the basic theory of partial differential equations and of systems of equations in which characteristics play a key role. Other chapters consider the theory of first order equations. This book discusses as well some concrete problems that indicate the aims and ideas of the calculus of variations. The final chapter deals with the boundary value problems of mathematical physics. This book is a valuable resource for mathematicians and readers who are embarking on the study of functional analysis.

Author: Joseph William Mellor
Publisher:
ISBN:
Category : Chemistry, Physical and theoretical
Languages : en
Pages : 620

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Author: Sadri Hassani
Publisher: Springer Science & Business Media
ISBN: 9780387985794
Category : Science
Languages : en
Pages : 1052

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Book Description
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

Author: Shlomo Sternberg
Publisher: Courier Corporation
ISBN: 0486292711
Category : Mathematics
Languages : en
Pages : 418

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Book Description
Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.