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 Yan Min Choo
Includes 300 exercises and all 2006-2015 A-level exam questions -- all worked solutions included. Brief contents: I. Functions and Graphs. II. Sequences and Series. III. Vectors IV. Complex Numbers. V. Calculus. VI. Probability and Statistics.
- Kluwer Academic Publishers
An open access resource designed specifically for the mathematics community. With more than 8,000 entries, illuminating 50,000 notions in mathematics, Encyclopaedia was the most up-to-date graduate-level reference work in the field of mathematics.
by Christoph Kirsch - University of North Carolina
Topics covered: Introduction to boundary value problems for the diffusion, Laplace and wave partial differential equations; Bessel functions and Legendre functions; Introduction to complex variables including the calculus of residues.
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.