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Generalized Calculus With Applications To Matter And Forces
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Book Synopsis Generalized Calculus with Applications to Matter and Forces by : Luis Manuel Braga de Costa Campos
Download or read book Generalized Calculus with Applications to Matter and Forces written by Luis Manuel Braga de Costa Campos and published by CRC Press. This book was released on 2014-04-18 with total page 885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines 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 genera
Book Synopsis Generalized Calculus with Applications to Matter and Forces by : Luis Manuel Braga de Costa Campos
Download or read book Generalized Calculus with Applications to Matter and Forces written by Luis Manuel Braga de Costa Campos and published by CRC Press. This book was released on 2014-04-18 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines 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. As part of a series of books for engineers and scientists exploring advanced mathematics, Generalized Calculus with Applications to Matter and Forces presents generalized functions from an applied point of view, tackling problem classes such as: Gauss and Stokes’ theorems in the differential geometry, tensor calculus, and theory of potential fields Self-adjoint and non-self-adjoint problems for linear differential equations and nonlinear problems with large deformations Multipolar expansions and Green’s functions for elastic strings and bars, potential and rotational flow, electro- and magnetostatics, and more This third volume in the series Mathematics and Physics for Science and Technology 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, Generalized Calculus with Applications to Matter and Forces enables readers to construct mathematical–physical models suited to new observations or novel engineering devices.
Book Synopsis Linear Differential Equations and Oscillators by : Luis Manuel Braga da Costa Campos
Download or read book Linear Differential Equations and Oscillators written by Luis Manuel Braga da Costa Campos and published by CRC Press. This book was released on 2019-11-05 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Differential Equations and Oscillators is the first book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This first book consists of chapters 1 and 2 of the fourth volume. The first chapter covers linear differential equations of any order whose unforced solution can be obtained from the roots of a characteristic polynomial, namely those: (i) with constant coefficients; (ii) with homogeneous power coefficients with the exponent equal to the order of derivation. The method of characteristic polynomials is also applied to (iii) linear finite difference equations of any order with constant coefficients. The unforced and forced solutions of (i,ii,iii) are examples of some general properties of ordinary differential equations. The second chapter applies the theory of the first chapter to linear second-order oscillators with one degree-of-freedom, such as the mechanical mass-damper-spring-force system and the electrical self-resistor-capacitor-battery circuit. In both cases are treated free undamped, damped, and amplified oscillations; also forced oscillations including beats, resonance, discrete and continuous spectra, and impulsive inputs. Describes general properties of differential and finite difference equations, with focus on linear equations and constant and some power coefficients Presents particular and general solutions for all cases of differential and finite difference equations Provides complete solutions for many cases of forcing including resonant cases Discusses applications to linear second-order mechanical and electrical oscillators with damping Provides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transforms
Book Synopsis Generalized Functions by : Ram P. Kanwal
Download or read book Generalized Functions written by Ram P. Kanwal and published by Springer Science & Business Media. This book was released on 2004-07-23 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a more cohesive and sharply focused treatment of fundamental concepts and theoretical background material, with particular attention given to better delineating connections to varying applications Exposition driven by additional examples and exercises
Book Synopsis Notes on the Principles of Pure and Applied Calculation by : James Challis
Download or read book Notes on the Principles of Pure and Applied Calculation written by James Challis and published by . This book was released on 1869 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generalized Fractional Order Differential Equations Arising in Physical Models by : Santanu Saha Ray
Download or read book Generalized Fractional Order Differential Equations Arising in Physical Models written by Santanu Saha Ray and published by CRC Press. This book was released on 2018-11-13 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.
Book Synopsis The Economic Calculus and Its Application to Tariff by : Ewart Scott Grogan
Download or read book The Economic Calculus and Its Application to Tariff written by Ewart Scott Grogan and published by . This book was released on 1909 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Treatise on Universal Algebra by : Alfred North Whitehead
Download or read book A Treatise on Universal Algebra written by Alfred North Whitehead and published by . This book was released on 1898 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :University of Illinois (Urbana-Champaign campus). Chicago Undergraduate Division Publisher : ISBN 13 : Total Pages :132 pages Book Rating :4.3/5 (91 download)
Book Synopsis Catalog by : University of Illinois (Urbana-Champaign campus). Chicago Undergraduate Division
Download or read book Catalog written by University of Illinois (Urbana-Champaign campus). Chicago Undergraduate Division and published by . This book was released on 1964 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Catalog by : University of Colorado (Boulder campus)
Download or read book General Catalog written by University of Colorado (Boulder campus) and published by . This book was released on 1954 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fractals and Fractional Calculus in Continuum Mechanics by : Alberto Carpinteri
Download or read book Fractals and Fractional Calculus in Continuum Mechanics written by Alberto Carpinteri and published by Springer. This book was released on 1997-12-11 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.
Book Synopsis Intermolecular and Surface Forces by : Jacob N. Israelachvili
Download or read book Intermolecular and Surface Forces written by Jacob N. Israelachvili and published by Academic Press. This book was released on 2011-07-22 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intermolecular and Surface Forces describes the role of various intermolecular and interparticle forces in determining the properties of simple systems such as gases, liquids and solids, with a special focus on more complex colloidal, polymeric and biological systems. The book provides a thorough foundation in theories and concepts of intermolecular forces, allowing researchers and students to recognize which forces are important in any particular system, as well as how to control these forces. This third edition is expanded into three sections and contains five new chapters over the previous edition. Starts from the basics and builds up to more complex systems Covers all aspects of intermolecular and interparticle forces both at the fundamental and applied levels Multidisciplinary approach: bringing together and unifying phenomena from different fields This new edition has an expanded Part III and new chapters on non-equilibrium (dynamic) interactions, and tribology (friction forces)
Book Synopsis General Catalog -- University of California, Santa Cruz by : University of California, Santa Cruz
Download or read book General Catalog -- University of California, Santa Cruz written by University of California, Santa Cruz and published by . This book was released on 1992 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chambers's Encyclopaedia written by and published by . This book was released on 1889 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of Dynamic Systems and Applications by : G. S. Ladde
Download or read book Proceedings of Dynamic Systems and Applications written by G. S. Ladde and published by Dynamic Pub.. This book was released on 1994 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fractional Calculus and Its Applications by : B. Ross
Download or read book Fractional Calculus and Its Applications written by B. Ross and published by Springer. This book was released on 2006-11-15 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Catalog by : Iowa State University
Download or read book General Catalog written by Iowa State University and published by . This book was released on 1936 with total page 1438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
