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Higher Mathematics for Physics and Engineering, Hardcover by Shimia, Hiroyuki...

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Item specifics

Condition
Like New: A book that looks new but has been read. Cover has no visible wear, and the dust jacket ...
Book Title
Higher Mathematics for Physics and Engineering
ISBN
9783540878636
Publication Year
2010
Type
Textbook
Format
Hardcover
Language
English
Publication Name
Higher Mathematics for Physics and Engineering
Author
Tsuneyoshi Nakayama, Hiroyuki Shima
Item Length
9.3in
Publisher
Springer Berlin / Heidelberg
Item Width
6.1in
Item Weight
47.7 Oz
Number of Pages
Xxi, 688 Pages

About this product

Product Information

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.

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540878637
ISBN-13
9783540878636
eBay Product ID (ePID)
102771565

Product Key Features

Author
Tsuneyoshi Nakayama, Hiroyuki Shima
Publication Name
Higher Mathematics for Physics and Engineering
Format
Hardcover
Language
English
Publication Year
2010
Type
Textbook
Number of Pages
Xxi, 688 Pages

Dimensions

Item Length
9.3in
Item Width
6.1in
Item Weight
47.7 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qc19.2-20.85
Reviews
From the reviews:This is a largely self-contained exposition of fundamental topics in the mathematics of physics and engineering, which … will lead to an understanding of the symbiotic relationship between mathematics and the physical sciences. … The exercises … are solved in full immediately after the problem statements. … It may be most useful for graduate students and as a reference for professionals. Summing Up: Recommended. Upper-division undergraduate through professional collections. (D. Robbins, Choice, Vol. 48 (5), January, 2011)This delightful text has been written for advanced undergraduates and graduate students in engineering and physics who need substantial mathematical knowledge for further studies in their own fields. It provides a well-balanced blend of theory and applications. The exposition is very well planned, detailed and emphasizes rigor and clarity. … This is a truly exceptional book. … Highly recommended guide to advanced mathematics behind important topics in engineering and physics. (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1200, 2011), From the reviews: "This is a largely self-contained exposition of fundamental topics in the mathematics of physics and engineering, which ... will lead to an understanding of the symbiotic relationship between mathematics and the physical sciences. ... The exercises ... are solved in full immediately after the problem statements. ... It may be most useful for graduate students and as a reference for professionals. Summing Up: Recommended. Upper-division undergraduate through professional collections." (D. Robbins, Choice, Vol. 48 (5), January, 2011) "This delightful text has been written for advanced undergraduates and graduate students in engineering and physics who need substantial mathematical knowledge for further studies in their own fields. It provides a well-balanced blend of theory and applications. The exposition is very well planned, detailed and emphasizes rigor and clarity. ... This is a truly exceptional book. ... Highly recommended guide to advanced mathematics behind important topics in engineering and physics." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1200, 2011), From the reviews:This is a largely self-contained exposition of fundamental topics in the mathematics of physics and engineering, which … will lead to an understanding of the symbiotic relationship between mathematics and the physical sciences. … The exercises … are solved in full immediately after the problem statements. … It may be most useful for graduate students and as a reference for professionals. Summing Up: Recommended. Upper-division undergraduate through professional collections. (D. Robbins, Choice, Vol. 48 (5), January, 2011)
Table of Content
Preliminaries.- I Real Analysis.- Real Sequences and Series.- Real Functions.- II Functional Analysis.- Hilbert Spaces.- Orthonormal Polynomials.- Lebesgue Integrals.- III Complex Analysis.- Complex Functions.- Singularity and Continuation.- Contour Integrals.- Conformal Mapping.- IV Fourier Analysis.- Fourier Series.- Fourier Transformation.- Laplace Transformation.- Wavelet Transformation.- V Differential Equations.- Ordinary Differential Equations.- System of Ordinary Differential Equations.- Partial Differential Equations.- VI Tensor Analyses.- Cartesian Tensors.- Non-Cartesian Tensors.- Tensor as Mapping.
Copyright Date
2010
Topic
Engineering (General), Applied, Physics / Mathematical & Computational
Lccn
2009-940406
Dewey Decimal
530.15
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Technology & Engineering, Science, Mathematics

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