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Delve into the world of mathematical physics with "Mathematics for the Physical Sciences" by Leslie Copley. This textbook is a valuable resource for students and professionals alike, providing a comprehensive exploration of the subject. Published in 2015, it offers a current and relevant approach to the topic, ensuring that readers are equipped with the latest concepts and techniques in the field.
The book is written in English and presents a nonfiction narrative specifically tailored to those interested in physics and mathematics. It's an ideal choice for young adults and adults seeking to enhance their understanding of the physical sciences, offering a clear and engaging examination of the subject matter.
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. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green’s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.
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