Mathematics for the Physical Sciences
Mathematics for the Physical Sciences by Laurent Schwartz, published by Courier Dover Publications on April 21, 2008, is an illustrated edition comprising 358 pages. This book explores the mathematical methods essential for understanding physics, focusing on mathematical entities and their elementary properties. It presents examples drawn from the physical sciences to illustrate the application of various concepts, making it a valuable resource for those interested in the intersection of mathematics and science.
Readers will find a concise treatment of essential mathematical results, including topics such as integral calculus, the theory of distributions, convolution, Fourier series, and transforms. The text also covers wave and heat conduction equations, the gamma function, and Bessel functions. Prerequisites for this book include familiarity with linear algebra and functions of a complex variable, ensuring that readers have a solid foundation to engage with the material effectively.
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This exploration of the mathematical methods of physics takes a careful look at mathematical entities and explains their elementary properties. Its examples, drawn from the physical sciences, illustrate the application of concepts. The theory of distributions is introduced early and employed throughout the text.
Concise rather than comprehensive, this text states only essential results in its proofs. Topics include preliminary results in the integral calculus, elementary theory of distributions, convolution, Fourier series and the Fourier transform, the Laplace transform, wave and heat conduction equations, the gamma function, and Bessel functions. Prerequisites include a familiarity with linear algebra and functions of a complex variable.
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