Introduction To Partial Differential Equations

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Introduction to Partial Differential Equations

Author : Peter J. Olver
Publisher : Springer Science & Business Media
ISBN 13 : 3319020994
Total Pages : 636 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Introduction to Partial Differential Equations by : Peter J. Olver

Download or read book Introduction to Partial Differential Equations written by Peter J. Olver and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.

Introduction to Partial Differential Equations

Author : David Borthwick
Publisher : Springer
ISBN 13 : 3319489364
Total Pages : 283 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Introduction to Partial Differential Equations by : David Borthwick

Download or read book Introduction to Partial Differential Equations written by David Borthwick and published by Springer. This book was released on 2017-01-12 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. Within each section the author creates a narrative that answers the five questions: What is the scientific problem we are trying to understand? How do we model that with PDE? What techniques can we use to analyze the PDE? How do those techniques apply to this equation? What information or insight did we obtain by developing and analyzing the PDE? The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods.

Introduction to Partial Differential Equations with Applications

Author : E. C. Zachmanoglou
Publisher : Courier Corporation
ISBN 13 : 048613217X
Total Pages : 432 pages
Book Rating : 4.4/5 (861 download)

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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 432 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.

Partial Differential Equations

Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)

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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.

Introduction to Partial Differential Equations

Author : Aslak Tveito
Publisher : Springer Science & Business Media
ISBN 13 : 0387227733
Total Pages : 392 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Introduction to Partial Differential Equations by : Aslak Tveito

Download or read book Introduction to Partial Differential Equations written by Aslak Tveito and published by Springer Science & Business Media. This book was released on 2008-01-21 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining both the classical theory and numerical techniques for partial differential equations, this thoroughly modern approach shows the significance of computations in PDEs and illustrates the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between these techniques. The authors present the material at an easy pace and exercises ranging from the straightforward to the challenging have been included. In addition there are some "projects" suggested, either to refresh the students memory of results needed in this course, or to extend the theories developed in the text. Suitable for undergraduate and graduate students in mathematics and engineering.

An Introduction to Partial Differential Equations

Author : Michael Renardy
Publisher : Springer Science & Business Media
ISBN 13 : 0387216871
Total Pages : 447 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis An Introduction to Partial Differential Equations by : Michael Renardy

Download or read book An Introduction to Partial Differential Equations written by Michael Renardy and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Introduction to Partial Differential Equations

Author : Gerald B. Folland
Publisher : Princeton University Press
ISBN 13 : 0691213038
Total Pages : 340 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Introduction to Partial Differential Equations by : Gerald B. Folland

Download or read book Introduction to Partial Differential Equations written by Gerald B. Folland and published by Princeton University Press. This book was released on 2020-05-05 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers. This book includes many more exercises than the first edition, offers a new chapter on pseudodifferential operators, and contains additional material throughout. The first five chapters of the book deal with classical theory: first-order equations, local existence theorems, and an extensive discussion of the fundamental differential equations of mathematical physics. The techniques of modern analysis, such as distributions and Hilbert spaces, are used wherever appropriate to illuminate these long-studied topics. The last three chapters introduce the modern theory: Sobolev spaces, elliptic boundary value problems, and pseudodifferential operators.

Introduction to Partial Differential Equations

Author : Faina Goberstein
Publisher :
ISBN 13 : 9780757504426
Total Pages : 174 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Introduction to Partial Differential Equations by : Faina Goberstein

Download or read book Introduction to Partial Differential Equations written by Faina Goberstein and published by . This book was released on 2004-01-05 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations

Author : David Colton
Publisher : Courier Corporation
ISBN 13 : 0486138437
Total Pages : 322 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Partial Differential Equations by : David Colton

Download or read book Partial Differential Equations written by David Colton and published by Courier Corporation. This book was released on 2012-06-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.

Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica

Author : Kuzman Adzievski
Publisher : CRC Press
ISBN 13 : 1466510579
Total Pages : 648 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica by : Kuzman Adzievski

Download or read book Introduction to Partial Differential Equations for Scientists and Engineers Using Mathematica written by Kuzman Adzievski and published by CRC Press. This book was released on 2016-04-19 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a special emphasis on engineering and science applications, this textbook provides a mathematical introduction to PDEs at the undergraduate level. It takes a new approach to PDEs by presenting computation as an integral part of the study of differential equations. The authors use Mathematica along with graphics to improve understanding and int

Beginning Partial Differential Equations

Author : Peter V. O'Neil
Publisher : John Wiley & Sons
ISBN 13 : 1118629981
Total Pages : 456 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Beginning Partial Differential Equations by : Peter V. O'Neil

Download or read book Beginning Partial Differential Equations written by Peter V. O'Neil and published by John Wiley & Sons. This book was released on 2014-05-07 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad introduction to PDEs with an emphasis on specializedtopics and applications occurring in a variety of fields Featuring a thoroughly revised presentation of topics,Beginning Partial Differential Equations, Third Editionprovides a challenging, yet accessible, combination of techniques,applications, and introductory theory on the subjectof partialdifferential equations. The new edition offers nonstandardcoverageon material including Burger’s equation, thetelegraph equation, damped wavemotion, and the use ofcharacteristics to solve nonhomogeneous problems. The Third Edition is organized around four themes:methods of solution for initial-boundary value problems;applications of partial differential equations; existence andproperties of solutions; and the use of software to experiment withgraphics and carry out computations. With a primary focus on waveand diffusion processes, Beginning Partial DifferentialEquations, Third Edition also includes: Proofs of theorems incorporated within the topicalpresentation, such as the existence of a solution for the Dirichletproblem The incorporation of Maple™ to perform computations andexperiments Unusual applications, such as Poe’s pendulum Advanced topical coverage of special functions, such as Bessel,Legendre polynomials, and spherical harmonics Fourier and Laplace transform techniques to solve importantproblems Beginning of Partial Differential Equations, ThirdEdition is an ideal textbook for upper-undergraduate andfirst-year graduate-level courses in analysis and appliedmathematics, science, and engineering.

Partial Differential Equations

Author : Lawrence C. Evans
Publisher : American Mathematical Society
ISBN 13 : 1470469421
Total Pages : 662 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Partial Differential Equations by : Lawrence C. Evans

Download or read book Partial Differential Equations written by Lawrence C. Evans and published by American Mathematical Society. This book was released on 2022-03-22 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, a significantly expanded bibliography. About the First Edition: I have used this book for both regular PDE and topics courses. It has a wonderful combination of insight and technical detail. … Evans' book is evidence of his mastering of the field and the clarity of presentation. —Luis Caffarelli, University of Texas It is fun to teach from Evans' book. It explains many of the essential ideas and techniques of partial differential equations … Every graduate student in analysis should read it. —David Jerison, MIT I usePartial Differential Equationsto prepare my students for their Topic exam, which is a requirement before starting working on their dissertation. The book provides an excellent account of PDE's … I am very happy with the preparation it provides my students. —Carlos Kenig, University of Chicago Evans' book has already attained the status of a classic. It is a clear choice for students just learning the subject, as well as for experts who wish to broaden their knowledge … An outstanding reference for many aspects of the field. —Rafe Mazzeo, Stanford University

Partial Differential Equations

Author : Michael Shearer
Publisher : Princeton University Press
ISBN 13 : 0691161291
Total Pages : 286 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Partial Differential Equations by : Michael Shearer

Download or read book Partial Differential Equations written by Michael Shearer and published by Princeton University Press. This book was released on 2015-03-01 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. Provides an accessible yet rigorous introduction to partial differential equations Draws connections to advanced topics in analysis Covers applications to continuum mechanics An electronic solutions manual is available only to professors An online illustration package is available to professors

Introduction to Partial Differential Equations

Author : K. Sankara Rao
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120342224
Total Pages : 500 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis Introduction to Partial Differential Equations by : K. Sankara Rao

Download or read book Introduction to Partial Differential Equations written by K. Sankara Rao and published by PHI Learning Pvt. Ltd.. This book was released on 2010-07-30 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides students with the fundamental concepts, the underlying principles, and various well-known mathematical techniques and methods, such as Laplace and Fourier transform techniques, the variable separable method, and Green's function method, to solve partial differential equations. It is supported by miscellaneous examples to enable students to assimilate the fundamental concepts and the techniques for solving PDEs with various initial and boundary conditions.

The Finite Element Method

Author : A. J. Davies
Publisher : Oxford University Press
ISBN 13 : 0199609136
Total Pages : 308 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis The Finite Element Method by : A. J. Davies

Download or read book The Finite Element Method written by A. J. Davies and published by Oxford University Press. This book was released on 2011-09-08 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. Contains worked examples throughout and each chapter has a set of exercises with detailed solutions.

An Introduction to Partial Differential Equations

Author : Daniel J. Arrigo
Publisher : Springer Nature
ISBN 13 : 3031024133
Total Pages : 155 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis An Introduction to Partial Differential Equations by : Daniel J. Arrigo

Download or read book An Introduction to Partial Differential Equations written by Daniel J. Arrigo and published by Springer Nature. This book was released on 2022-06-01 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to methods for solving partial differential equations (PDEs). After the introduction of the main four PDEs that could be considered the cornerstone of Applied Mathematics, the reader is introduced to a variety of PDEs that come from a variety of fields in the Natural Sciences and Engineering and is a springboard into this wonderful subject. The chapters include the following topics: First-order PDEs, Second-order PDEs, Fourier Series, Separation of Variables, and the Fourier Transform.The reader is guided through these chapters where techniques for solving first- and second-order PDEs are introduced. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for any introductory course in PDEs typically found in both science and engineering programs and has been used at the University of Central Arkansas for over ten years.

Introduction to Applied Partial Differential Equations

Author : John M. Davis
Publisher : W. H. Freeman
ISBN 13 : 9781429275927
Total Pages : 0 pages
Book Rating : 4.2/5 (759 download)

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Book Synopsis Introduction to Applied Partial Differential Equations by : John M. Davis

Download or read book Introduction to Applied Partial Differential Equations written by John M. Davis and published by W. H. Freeman. This book was released on 2012-01-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on his decade of experience teaching the differential equations course, John Davis offers a refreshing and effective new approach to partial differential equations that is equal parts computational proficiency, visualization, and physical interpretation of the problem at hand.