First Order Partial Differential Equations
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First Order Partial Differential Equations Vol 1
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Author : Hyun-Ku Rhee
language : en
Publisher: Courier Corporation
Release Date : 2014-05-05
First Order Partial Differential Equations Vol 1 written by Hyun-Ku Rhee and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Mathematics categories.
This first volume of a highly regarded two-volume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield first-order partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite rate expressions; homogeneous and nonhomogeneous quasilinear equations; formation and propagation of shocks; conservation equations, weak solutions, and shock layers; nonlinear equations; and variational problems. Exercises appear at the end of most sections. This volume is geared to advanced undergraduates or first-year grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 black-and-white illustrations. Author and subject indices.
Handbook Of First Order Partial Differential Equations
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2001-11-15
Handbook Of First Order Partial Differential Equations written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-15 with Mathematics categories.
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.
First Order Partial Differential Equations Theory And Application Of Single Equations
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Author : Hyun-Ku Rhee
language : en
Publisher: Prentice Hall
Release Date : 1986
First Order Partial Differential Equations Theory And Application Of Single Equations written by Hyun-Ku Rhee and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Partial Differential Equations
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Author : Bhamra
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2010-01-30
Partial Differential Equations written by Bhamra and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-30 with Mathematics categories.
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.
Partial Differential Equations Of First Order And Their Applications To Physics 2nd Edition
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Author : Lopez Velazquez Gustavo
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-03-21
Partial Differential Equations Of First Order And Their Applications To Physics 2nd Edition written by Lopez Velazquez Gustavo and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-21 with Science categories.
This book tries to point out the mathematical importance of the Partial Differential Equations of First Order (PDEFO) in Physics and Applied Sciences. The intention is to provide mathematicians with a wide view of the applications of this branch in physics, and to give physicists and applied scientists a powerful tool for solving some problems appearing in Classical Mechanics, Quantum Mechanics, Optics, and General Relativity. This book is intended for senior or first year graduate students in mathematics, physics, or engineering curricula.This book is unique in the sense that it covers the applications of PDEFO in several branches of applied mathematics, and fills the theoretical gap between the formal mathematical presentation of the theory and the pure applied tool to physical problems that are contained in other books.Improvements made in this second edition include corrected typographical errors; rewritten text to improve the flow and enrich the material; added exercises in all chapters; new applications in Chapters 1, 2, and 5 and expanded examples.
Partial Differential Equations Of First Order And Their Applications To Physics
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Author : Gustavo López
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-12-16
Partial Differential Equations Of First Order And Their Applications To Physics written by Gustavo López and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-16 with Mathematics categories.
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
Ordinary And Partial Differential Equations For The Beginner
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Author : László Székelyhidi
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-05-24
Ordinary And Partial Differential Equations For The Beginner written by László Székelyhidi and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-24 with Mathematics categories.
This textbook is intended for college, undergraduate and graduate students, emphasizing mainly on ordinary differential equations. However, the theory of characteristics for first order partial differential equations and the classification of second order linear partial differential operators are also included. It contains the basic material starting from elementary solution methods for ordinary differential equations to advanced methods for first order partial differential equations. In addition to the theoretical background, solution methods are strongly emphasized. Each section is completed with problems and exercises, and the solutions are also provided. There are special sections devoted to more applied tools such as implicit equations, Laplace transform, Fourier method, etc. As a novelty, a method for finding exponential polynomial solutions is presented which is based on the author's work in spectral synthesis. The presentation is self-contained, provided the reader has general undergraduate knowledge.
Handbook Of First Order Partial Differential Equations
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Author : A. D. Polyanin
language : en
Publisher: Harwood Academic Publishers
Release Date : 2001-01-01
Handbook Of First Order Partial Differential Equations written by A. D. Polyanin and has been published by Harwood Academic Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with categories.
Partial Differential Equations
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Author : Phoolan Prasad
language : en
Publisher: New Age International
Release Date : 1985
Partial Differential Equations written by Phoolan Prasad and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Differential equations, Partial categories.
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.
First Order Partial Differential Equations Vol 2
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Author : Hyun-Ku Rhee
language : en
Publisher: Courier Corporation
Release Date : 2013-05-17
First Order Partial Differential Equations Vol 2 written by Hyun-Ku Rhee and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-17 with Mathematics categories.
Second volume of a highly regarded two-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Examples are drawn from a wide range of scientific and engineering disciplines. The book begins with a consideration of pairs of quasilinear hyperbolic equations of the first order and goes on to explore multicomponent chromatography, complications of counter-current moving-bed adsorbers, the adiabatic adsorption column, and chemical reaction in countercurrent reactors. Exercises appear at the end of most sections. Accessible to anyone with a thorough grounding in undergraduate mathematics — ideally including volume 1 of this set. 1989 edition. 198 black-and-white illustrations. Author and subject indices.