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Author: J. Chazarain
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 558
ISBN-13: 9780080875354
DOWNLOAD EBOOK →Introduction to the Theory of Linear Partial Differential Equations
Author: Michael Shearer
Publisher: Princeton University Press
Published: 2015-03-01
Total Pages: 286
ISBN-13: 0691161291
DOWNLOAD EBOOK →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
Author: Grigoriĭ Ilʹich Eskin
Publisher: American Mathematical Soc.
Published: 2011
Total Pages: 432
ISBN-13: 0821852841
DOWNLOAD EBOOK →This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory.
Author: Marcus Pivato
Publisher: Cambridge University Press
Published: 2010-01-07
Total Pages: 631
ISBN-13: 0521199700
DOWNLOAD EBOOK →This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.
Author: Sigeru Mizohata
Publisher: CUP Archive
Published: 1973-08-02
Total Pages: 518
ISBN-13: 9780521087278
DOWNLOAD EBOOK →Fourier series and fourier transforms; Distributions; Elliptic equations (fundamental theory); Initial value problems (cauchy problems); Evolution equations; Hyperbolic equations; Semi-linear hyperbolic equations; Green's functions and spectra.
Author: Tyn Myint-U
Publisher: Springer Science & Business Media
Published: 2007-04-05
Total Pages: 790
ISBN-13: 0817645608
DOWNLOAD EBOOK →This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.
Author: Walter A. Strauss
Publisher: John Wiley & Sons
Published: 2007-12-21
Total Pages: 467
ISBN-13: 0470054565
DOWNLOAD EBOOK →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.
Author: E. C. Zachmanoglou
Publisher: Courier Corporation
Published: 2012-04-20
Total Pages: 432
ISBN-13: 048613217X
DOWNLOAD EBOOK →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.
Author: François Treves
Publisher: Academic Press
Published: 1975-08-08
Total Pages: 493
ISBN-13: 0080880258
DOWNLOAD EBOOK →Basic Linear Partial Differential Equations
Author: Michael Renardy
Publisher: Springer Science & Business Media
Published: 2006-04-18
Total Pages: 447
ISBN-13: 0387216871
DOWNLOAD EBOOK →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.
