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Higher Mathematics for Physics and Engineering, Hardcover by Shimia, Hiroyuki...
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- Book Title
- Higher Mathematics for Physics and Engineering
- ISBN
- 9783540878636
- Subject Area
- Mathematics, Technology & Engineering, Science
- Publication Name
- Higher Mathematics for Physics and Engineering
- Publisher
- Springer Berlin / Heidelberg
- Item Length
- 9.3 in
- Subject
- Engineering (General), Applied, Physics / Mathematical & Computational
- Publication Year
- 2010
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Weight
- 47.7 Oz
- Item Width
- 6.1 in
- Number of Pages
- Xxi, 688 Pages
關於產品
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540878637
ISBN-13
9783540878636
eBay Product ID (ePID)
102771565
Product Key Features
Number of Pages
Xxi, 688 Pages
Language
English
Publication Name
Higher Mathematics for Physics and Engineering
Publication Year
2010
Subject
Engineering (General), Applied, Physics / Mathematical & Computational
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Science
Format
Hardcover
Dimensions
Item Weight
47.7 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2009-940406
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)
Dewey Edition
22
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
530.15
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.
Synopsis
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., Differing from many mathematics texts, this one emphasizes the mathematical concepts underlying manifold physical phenomena. Readers get both the knowledge required in applications, and also the minimum "mathematical skills" necessary in the study of physics.
LC Classification Number
QC19.2-20.85
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