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. 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 Jean Gallier
From the table of contents: Linear Algebra; Determinants; Basics of Affine Geometry; Polynomials, PID's and UFD's; Topology; Differential Calculus; Zorn’s Lemma and Some Applications; Gaussian elimination, LU-factoring and Cholesky-factoring.
by David Lippman - Lulu.com
A survey of math for liberal arts majors. Introduces contemporary mathematics topics: voting theory, weighted voting, fair division, graph theory, scheduling, growth models, finance math, statistics, and historical counting systems.
by Steven G. Krantz - arXiv.org
This is a tract on the art and practice of mathematical writing. Not only does the book cover basic principles of grammar, syntax, and usage, but it takes into account developments of the last twenty years that have been inspired by the Internet.