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 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.
This book is about the topic of mathematical analysis, particularly in the field of engineering. This will build on topics covered in Probability, Algebra, Linear Algebra, Calculus, Ordinary Differential Equations, and others.
by J. Carlson, A. Jaffe, A. Wiles - American Mathematical Society
Guided by the premise that solving the most important mathematical problems will advance the field, this book offers a fascinating look at the seven unsolved Millennium Prize problems. This work describes these problems at the professional level.
by Oliver Knill - arXiv.org
An expository guide to some theorems in mathematics. Criteria for the current list of 135 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide without leading to panic.