{"product_id":"generalized-calculus-with-applications-to-matter-and-forces-9780367378721","title":"Generalized Calculus with Applications to Matter and Forces","description":"\u003cp\u003e • Author(s): Lu Braga de Costa Campos\u003cbr\u003e • Publisher: Taylor \u0026amp; Francis\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eCombining mathematical theory, physical principles, and engineering problems, \u003cb\u003eGeneralized Calculus with Applications to Matter and Forces \u003c\/b\u003eexamines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to generalized functions: (1) as a nonuniform limit of a family of ordinary functions, and (2) as a functional over a set of test functions from which properties are inherited. The second approach is developed more extensively to encompass multidimensional generalized functions whose arguments are ordinary functions of several variables. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003eAs part of a series of books for engineers and scientists exploring advanced mathematics, \u003cb\u003eGeneralized Calculus with Applications to Matter and Forces\u003c\/b\u003e presents generalized functions from an applied point of view, tackling\u003cb\u003e \u003c\/b\u003eproblem classes such as: \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cul\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003cli\u003eGauss and Stokes' theorems in the differential geometry, tensor calculus, and theory of potential fields\u003c\/li\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cli\u003eSelf-adjoint and non-self-adjoint problems for linear differential equations and nonlinear problems with large deformations\u003c\/li\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cli\u003eMultipolar expansions and Green's functions for elastic strings and bars, potential and rotational flow, electro- and magnetostatics, and more\u003c\/li\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003eThis third volume in the series \u003ci\u003eMathematics and Physics for Science and Technology\u003c\/i\u003e is designed to complete the theory of functions and its application to potential fields, relating generalized functions to broader follow-on topics like differential equations. Featuring step-by-step examples with interpretations of results and discussions of assumptions and their consequences, \u003cb\u003eGeneralized Calculus with Applications to Matter and Forces\u003c\/b\u003e enables readers to construct mathematical-physical models suited to new observations or novel engineering devices.\u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Paperback","offer_id":45239888314519,"sku":"9780367378721","price":5683.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780367378721.webp?v=1769223869","url":"https:\/\/atlanticbooks.com\/products\/generalized-calculus-with-applications-to-matter-and-forces-9780367378721","provider":"Atlantic Books","version":"1.0","type":"link"}