Botelho, Fabio Silva - Advanced Calculus And Its Applications In Variational Quantum Mchanics And Relativity Theory

CRC Press, Abingdon - Taylor & Francis, 2021, 1st edition. Printed boards, F. x+324pp, ondex, small nick on the spine, otherwise a fine copy. Hardback , no dustjacket. ISBN: 9780367746452 ¶ From the rear cover - The first part of this book reviews some key topics on multi-variable advanced calculus. The approach presented includes detailed and rigorous studies on surfaces in Rn which comprises items such as differential forms and an abstract version of the Stokes Theorem in Rn. The conclusion section introduces readers to Riemannian geometry, which is used in the subsequent chapters.The second part reviews applications, specifically in variational quantum mechanics and relativity theory. Topics such as a variational formulation for the relativistic Klein-Gordon equation, the derivation of a variational formulation for relativistic mechanics firstly through (semi)-Riemannian geometry are covered. The second part has a more general context.

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