Mathematics for the Physical Sciences
by Leslie Copley
Publisher: De Gruyter Open 2014
Number of pages: 446
A text on advanced mathematical methods with numerous applications, detailed derivations and solutions, and a unique range of practical topics. The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems.
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by J. Douglas, P. Franklin, C.J. Keyser, L. Infeld - Morrill Press
Addresses delivered by Jesse Douglas, Philip Franklin, Cassius Jackson Keyser, and Leopold Infeld. Contents: Survey of the theory of integration; The four color problem; Charles Sanders Peirce as a pioneer; The fourth dimension and relativity.
by M.A. Keasey, G.A. Kline, D.A. McIlhatten - The Blakiston company
The problems in this book emphasize the use of the mathematical principles so vital to a clear understanding of Engineering. They also furnish the necessary foundation for the later development of the Analytical Geometry and the Calculus.
by Wu-ting Tsai - National Taiwan University
Contents: Series; Vector Algebra; Matrix Algebra; Vector Calculus; Complex Variables; Trigonometry; Hyperbolic Functions; Limits; Differentiation; Integration; Differential Equations; Calculus of Variations; Functions of Several Variables; etc.
by Ivan S. Sokolnikoff - McGraw Hill
The chief purpose of the book is to help to bridge the gap which separates many engineers from mathematics by giving them a bird's-eye view of those mathematical topics which are indispensable in the study of the physical sciences.