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Partial Differential Equations Of First Order And Their Applications To Physics
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Book Synopsis Partial Differential Equations of First Order and Their Applications to Physics by : Gustavo L¢pez
Download or read book Partial Differential Equations of First Order and Their Applications to Physics written by Gustavo L¢pez and published by World Scientific. This book was released on 1999 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the theory and applications of Partial Differential Equations of First Order (PDEFO). Many interesting topics in physics such as constant motion of dynamical systems, renormalization theory, Lagrange transformation, ray trajectories, and Hamilton-Jacobi theory are or can be formulated in terms of partial differential equations of first order. In this book, the author illustrates the utility of the powerful method of PDEFO in physics, and also shows how PDEFO are useful for solving practical problems in different branches of science. The book focuses mainly on the applications of PDEFO, and the mathematical formalism is treated carefully but without diverging from the main objective of the book.
Book Synopsis Partial Differential Equations of First Order and Their Applications to Physics by : Gustavo López
Download or read book Partial Differential Equations of First Order and Their Applications to Physics written by Gustavo López and published by World Scientific Publishing Company. This book was released on 1999-12-16 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the theory and applications of Partial Differential Equations of First Order (PDEFO). Many interesting topics in physics such as constant motion of dynamical systems, renormalization theory, Lagrange transformation, ray trajectories, and Hamilton–Jacobi theory are or can be formulated in terms of partial differential equations of first order. In this book, the author illustrates the utility of the powerful method of PDEFO in physics, and also shows how PDEFO are useful for solving practical problems in different branches of science. The book focuses mainly on the applications of PDEFO, and the mathematical formalism is treated carefully but without diverging from the main objective of the book. Request Inspection Copy
Book Synopsis Partial Differential Equations of First Order and Their Applications to Physics by : Gustavo López Velázquez
Download or read book Partial Differential Equations of First Order and Their Applications to Physics written by Gustavo López Velázquez and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Partial Differential Equations of First Order and Their Applications to Physics by : Gustavo Lopez
Download or read book Partial Differential Equations of First Order and Their Applications to Physics written by Gustavo Lopez and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Partial Differential Equations with Applications by : E. C. Zachmanoglou
Download or read book Introduction to Partial Differential Equations with Applications written by E. C. Zachmanoglou and published by Courier Corporation. This book was released on 2012-04-20 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
Book Synopsis Handbook of First-Order Partial Differential Equations by : Andrei D. Polyanin
Download or read book Handbook of First-Order Partial Differential Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2001-11-15 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. At the beginning of each section, basic solution methods for the corresponding types of differential equations are outlined and specific examples are considered. It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences.
Book Synopsis Partial Differential Equations of Mathematical Physics by : S. L. Sobolev
Download or read book Partial Differential Equations of Mathematical Physics written by S. L. Sobolev and published by Courier Corporation. This book was released on 1964-01-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.
Book Synopsis Partial Differential Equations of Mathematical Physics and Integral Equations by : Ronald B. Guenther
Download or read book Partial Differential Equations of Mathematical Physics and Integral Equations written by Ronald B. Guenther and published by Courier Corporation. This book was released on 2012-09-19 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.
Book Synopsis Partial Differential Equations by : H. Bateman
Download or read book Partial Differential Equations written by H. Bateman and published by Walton Press. This book was released on 2008-11 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: PARTIAL DIFFERENTIAL EQUATIONS OF MATHEMATICAL PHYSICS BY H. BAT EM AN, M. A., PH. D. Late Fellow of Trinity College, Cambridge Professor of Mathematics, Theoretical Physics and Aeronautics, California Institute of Technology, Pasadena, California NEW YORK DOVER PUBLICATIONS 1944 First Edition 1932 First American Edition 1944 By special arrangement with the Cambridge University Press and The Macmillan Co. Printed in the U. S. A. Dedicated to MY MOTHER CONTENTS PREFACE page xiii INTRODUCTION xv-xxii CHAPTER I THE CLASSICAL EQUATIONS 1-11-1-14. Uniform motion, boundary conditions, problems, a passage to the limit. 1-7 1-15-1-19. Fouriers theorem, Fourier constants, Cesaros method of summation, Parsevals theorem, Fourier series, the expansion of the integral of a bounded function which is continuous bit by bit. . 7-16 1-21-1-25. The bending of a beam, the Greens function, the equation of three moments, stability of a strut, end conditions, examples. 16-25 1 31-1-36. F ee undamped vibrations, simple periodic motion, simultaneous linear equations, the Lagrangian equations of motion, normal vibrations, com pound pendulum, quadratic forms, Hermit ian forms, examples. 25-40 1-41-1 - 42. Forced oscillations, residual oscillation, examples. 40-44 1-43. Motion with a resistance proportional to the velocity, reduction to alge braic equations. 44 d7 1-44. The equation of damped vibrations, instrumental records. 47-52 1-45-1 - 46. The dissipation function, reciprocal relations. 52-54 1-47-1-49. Fundamental equations of electric circuit theory, Cauchys method of solving a linear equation, Heavisides expansion. 54-6Q 1-51 1-56. The simple wave-equation, wave propagation, associated equations, transmission of vibrations, vibration of a building, vibration of a string, torsional oscillations of a rod, plane waves of sound, waves in a canal, examples. 60-73 1-61-1 - 63. Conjugate functions and systems of partial differential equations, the telegraphic equation, partial difference equations, simultaneous equations involving high derivatives, examplu. 73-77 1-71-1-72. Potentials and stream-functions, motion of a fluid, sources and vortices, two-dimensional stresses, geometrical properties of equipotentials and lines of force, method of inversion, examples. 77-90 1-81-1-82. The classical partial differential equations for Euclidean space, Laplaces equation, systems of partial differential equations of the first order fchich lead to the classical equations, elastic equilibrium, equations leading to the uations of wave-motion, 90-95 S 1 91. Primary solutions, Jacobis theorem, examples. 95-100 1 92. The partial differential equation of the characteristics, bicharacteristics and rays. 101-105 1 93-1 94. Primary solutions of the second grade, primitive solutions of the wave-equation, primitive solutions of Laplaces equation. 105-111 1-95. Fundamental solutions, examples. 111-114 viii Contents CHAPTER n APPLICATIONS OF THE INTEGRAL THEOREMS OF GREEN AND STOKES 2 11-2-12. Greens theorem, Stokes s theorem, curl of a vector, velocity potentials, equation of continuity. pages 116-118 2-13-2-16. The equation of the conduction of heat, diffusion, the drying of wood, the heating of a porous body by a warm fluid, Laplaces method, example. 118-125 2-21-2 22. Riemanns method, modified equation of diffusion, Greens func tions, examples. 126-131 f 2-23-2 26. Green s theorem for a general lineardifferential equation of the second order, characteristics, classification of partial differential equations of the second order, a property of equations of elliptic type, maxima and minima of solutions. 131-138 2-31-2-32. Greens theorem for Laplaces equation, Greens functions, reciprocal relations. 138-144 2-33-2-34. Partial difference equations, associated quadratic form, the limiting process, inequalities, properties of the limit function. 144-152 2-41-2-42...
Book Synopsis Partial Differential Equations by : Bhamra
Download or read book Partial Differential Equations written by Bhamra and published by PHI Learning Pvt. Ltd.. This book was released on 2010-01-30 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: and postgraduate (MA/MSc) students of mathematics, and conforms to the course curriculum prescribed by UGC. The text is broadly organized into two parts. The first part (Lessons 1 to 15) mostly covers the first-order equations in two variables. In these lessons, the mathematical importance of PDEs of first order in physics and applied sciences has also been highlighted. The other part (Lessons 16 to 50) deals with the various properties of second-order and first- order PDEs. The book emphasizes the applications of PDEs and covers various important topics such as the Hamilton Jacobi equation, Conservation laws, Similarity solution, Asymptotics and Power series solution and many more. The graded problems, the techniques for solving them, and a large number of exercises with hints and answers help students gain the necessary skill and confidence in handling the subject.
Book Synopsis Nonlinear Partial Differential Equations for Scientists and Engineers by : Lokenath Debnath
Download or read book Nonlinear Partial Differential Equations for Scientists and Engineers written by Lokenath Debnath and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. The book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.
Book Synopsis Introductory Applications of Partial Differential Equations by : G. L. Lamb, Jr.
Download or read book Introductory Applications of Partial Differential Equations written by G. L. Lamb, Jr. and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: INTRODUCTORY APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS With Emphasis on Wave Propagation and Diffusion This is the ideal text for students and professionals who have somefamiliarity with partial differential equations, and who now wishto consolidate and expand their knowledge. Unlike most other textson this topic, it interweaves prior knowledge of mathematics andphysics, especially heat conduction and wave motion, into apresentation that demonstrates their interdependence. The result isa superb teaching text that reinforces the reader's understandingof both mathematics and physics. Rather than presenting themathematics in isolation and out of context, problems in this textare framed to show how partial differential equations can be usedto obtain specific information about the physical system beinganalyzed. Designed for upper-level students, professionals and researchers inengineering, applied mathematics, physics, and optics, ProfessorLamb's text is lucid in its presentation and comprehensive in itscoverage of all the important topic areas, including: * One-Dimensional Problems * The Laplace Transform Method * Two and Three Dimensions * Green's Functions * Spherical Geometry * Fourier Transform Methods * Perturbation Methods * Generalizations and First Order Equations In addition, this text includes a supplementary chapter of selectedtopics and handy appendices that review Fourier Series, LaplaceTransform, Sturm-Liouville Equations, Bessel Functions, andLegendre Polynomials.
Book Synopsis Mathematical Physics with Partial Differential Equations by : James Kirkwood
Download or read book Mathematical Physics with Partial Differential Equations written by James Kirkwood and published by Academic Press. This book was released on 2012-01-20 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.
Book Synopsis Ordinary Differential Equations with Applications by : Ali Mason
Download or read book Ordinary Differential Equations with Applications written by Ali Mason and published by Scientific e-Resources. This book was released on 2018-10-20 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations (ODEs) arise in many contexts of mathematics and science (social as well as natural). Mathematical descriptions of change use differentials and derivatives. Various differentials, derivatives, and functions become related to each other via equations, and thus a differential equation is a result that describes dynamically changing phenomena, evolution, and variation. Often, quantities are defined as the rate of change of other quantities (for example, derivatives of displacement with respect to time), or gradients of quantities, which is how they enter differential equations. Ordinary differential equations are equations to be solved in which the unknown element is a function, rather than a number, and in which the known information relates that function to its derivatives. Few such equations admit an explicit answer, but there is a wealth of qualitative information describing the solutions and their dependence on the defining equation. Systems of differential equations form the basis of mathematical models in a wide range of fields - from engineering and physical sciences to finance and biological sciences. Differential equations are relations between unknown functions and their derivatives. Computing numerical solutions to differential equations is one of the most important tasks in technical computing, and one of the strengths of MATLAB. The book explains the origins of various types of differential equations. The scope of the book is limited to linear differential equations of the first order, linear differential equation of higher order, partial differential equations and special methods of solution of differential equations of second order, keeping in view the requirement of students.
Book Synopsis Partial Differential Equations by : Walter A. Strauss
Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Book Synopsis Partial Differential Equations by : Phoolan Prasad
Download or read book Partial Differential Equations written by Phoolan Prasad and published by New Age International. This book was released on 1985 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a basic introductory course in partial differential equations, in which theory and applications are interrelated and developed side by side. Emphasis is on proofs, which are not only mathematically rigorous, but also constructive, where the structure and properties of the solution are investigated in detail. The authors feel that it is no longer necessary to follow the tradition of introducing the subject by deriving various partial differential equations of continuum mechanics and theoretical physics. Therefore, the subject has been introduced by mathematical analysis of the simplest, yet one of the most useful (from the point of view of applications), class of partial differential equations, namely the equations of first order, for which existence, uniqueness and stability of the solution of the relevant problem (Cauchy problem) is easy to discuss. Throughout the book, attempt has been made to introduce the important ideas from relatively simple cases, some times by referring to physical processes, and then extending them to more general systems.
Book Synopsis Partial Differential Equations of Mathematical Physics by : Arthur Godon Webster
Download or read book Partial Differential Equations of Mathematical Physics written by Arthur Godon Webster and published by Courier Dover Publications. This book was released on 2016-06-20 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers. Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.
