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Transforms and Partial Differential Equations(Combo)

Author : P. Sivaramakrishna Das
Publisher : Pearson Education India
ISBN 13 : 9353431107
Total Pages : 599 pages
Book Rating : 4.3/5 (534 download)

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Book Synopsis Transforms and Partial Differential Equations(Combo) by : P. Sivaramakrishna Das

Download or read book Transforms and Partial Differential Equations(Combo) written by P. Sivaramakrishna Das and published by Pearson Education India. This book was released on with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transforms and Partial Differential Equations, 6e is designed to provide a firm foundation on the basic concepts of partial differential equations, Fourier series analysis, Fourier series techniques in solving heat flow problems, Fourier transform techniques and Z-transforms. In their trademark student-friendly style, the authors have endeavored to provide an in-depth understanding of the important principles, methods and processes of obtaining results in a systematic way with emphasis on clarity and academic rigor. Features: • More than 320 solved examples • More than 250 exercises with answers • More than 150 Part A questions with answers • Plenty of hints for problems • Includes a free book containing FAQs Table of Contents: Preface Acknowledgements About the Authors 1. Partial Differential Equations 2. Fourier Series 3. Application of Partial Differential Equations 4. Fourier Transforms 5. Z-transforms and Difference Equations Formulae To Remember

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.

Linear Partial Differential Equations and Fourier Theory

Author : Marcus Pivato
Publisher : Cambridge University Press
ISBN 13 : 0521199700
Total Pages : 631 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Linear Partial Differential Equations and Fourier Theory by : Marcus Pivato

Download or read book Linear Partial Differential Equations and Fourier Theory written by Marcus Pivato and published by Cambridge University Press. This book was released on 2010-01-07 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.

Transforms and Partial Differential Equations

Author : Dr. Manish Goyal
Publisher :
ISBN 13 : 9788190856546
Total Pages : 340 pages
Book Rating : 4.8/5 (565 download)

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Book Synopsis Transforms and Partial Differential Equations by : Dr. Manish Goyal

Download or read book Transforms and Partial Differential Equations written by Dr. Manish Goyal and published by . This book was released on 2009-07-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations in Action

Author : Sandro Salsa
Publisher : Springer
ISBN 13 : 3319150936
Total Pages : 714 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Partial Differential Equations in Action by : Sandro Salsa

Download or read book Partial Differential Equations in Action written by Sandro Salsa and published by Springer. This book was released on 2015-04-24 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.

Partial Differential Equations with Fourier Series and Boundary Value Problems

Author : Nakhle H. Asmar
Publisher : Courier Dover Publications
ISBN 13 : 0486820831
Total Pages : 818 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Partial Differential Equations with Fourier Series and Boundary Value Problems by : Nakhle H. Asmar

Download or read book Partial Differential Equations with Fourier Series and Boundary Value Problems written by Nakhle H. Asmar and published by Courier Dover Publications. This book was released on 2017-03-23 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rich in proofs, examples, and exercises, this widely adopted text emphasizes physics and engineering applications. The Student Solutions Manual can be downloaded free from Dover's site; instructions for obtaining the Instructor Solutions Manual is included in the book. 2004 edition, with minor revisions.

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.

Partial Differential Equations and Boundary-Value Problems with Applications

Author : Mark A. Pinsky
Publisher : American Mathematical Soc.
ISBN 13 : 0821868896
Total Pages : 545 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Partial Differential Equations and Boundary-Value Problems with Applications by : Mark A. Pinsky

Download or read book Partial Differential Equations and Boundary-Value Problems with Applications written by Mark A. Pinsky and published by American Mathematical Soc.. This book was released on 2011 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.

Introduction to Partial Differential Equations

Author : Aslak Tveito
Publisher : Springer Science & Business Media
ISBN 13 : 0387227733
Total Pages : 402 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 402 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.

Applied Partial Differential Equations

Author : J. David Logan
Publisher : Springer Science & Business Media
ISBN 13 : 1468405330
Total Pages : 193 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Applied Partial Differential Equations by : J. David Logan

Download or read book Applied Partial Differential Equations written by J. David Logan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems;' The audience usually consists of stu dents in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard equations of mathemati cal physics (including the heat equation, the· wave equation, and the Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions or separation of variables, and methods based on Fourier and Laplace transforms. Prerequisites include calculus and a post-calculus differential equations course. There are several excellent texts for this course, so one can legitimately ask why one would wish to write another. A survey of the content of the existing titles shows that their scope is broad and the analysis detailed; and they often exceed five hundred pages in length. These books gen erally have enough material for two, three, or even four semesters. Yet, many undergraduate courses are one-semester courses. The author has often felt that students become a little uncomfortable when an instructor jumps around in a long volume searching for the right topics, or only par tially covers some topics; but they are secure in completely mastering a short, well-defined introduction. This text was written to proVide a brief, one-semester introduction to partial differential equations.

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Author : Haim Brezis
Publisher : Springer Science & Business Media
ISBN 13 : 0387709142
Total Pages : 600 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Functional Analysis, Sobolev Spaces and Partial Differential Equations by : Haim Brezis

Download or read book Functional Analysis, Sobolev Spaces and Partial Differential Equations written by Haim Brezis and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Partial Differential Equations

Author : F. John
Publisher : Springer Science & Business Media
ISBN 13 : 1461599792
Total Pages : 258 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Partial Differential Equations by : F. John

Download or read book Partial Differential Equations written by F. John and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Notes grew out of a course given by the author in 1952-53. Though the field of Partial Differential Equations has changed considerably since those days, particularly under the impact of methods taken from Functional Analysis, the author feels that the introductory material offered here still is basic for an understanding of the subject. It supplies the necessary intuitive foundation which motivates and anticipates abstract formulations of the questions and relates them to the description of natual phenomena. Added to this second corrected edition is a collection of problems and solutions, which illustrate and supplement the theories developed in the text. Fritz John New York September, 1974 vii TABLE OF CONTENTS Introd uction 1 CHAPrER I - THE SINGLE FIRST ORDER EQUATION 1. The linear and quasi-linear equations. 6 2. The general first order equation for a function of two variables. • • • • • • • • • 15 The general first order equation for a function 3. of n independent variables. • • • • • 37 CHAPrER II - THE CAUCHY PROBLEM FOR HIGHER ORDER EQUATIONS 1. Analytic functions of several real variables • 48 2. Formulation of the Cauchy problem. The notion of characteristics. • • • 54 3. The Cauchy problem for the general non-linear equation ••• 71 4. The Cauchy-Kowalewsky theorem. 76 CHAPTER III - SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS 1. Equations in two independent variables.

Applications of Symmetry Methods to Partial Differential Equations

Author : George W. Bluman
Publisher : Springer Science & Business Media
ISBN 13 : 0387680284
Total Pages : 415 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Applications of Symmetry Methods to Partial Differential Equations by : George W. Bluman

Download or read book Applications of Symmetry Methods to Partial Differential Equations written by George W. Bluman and published by Springer Science & Business Media. This book was released on 2009-10-30 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.

Applied Partial Differential Equations

Author : Paul DuChateau
Publisher : Courier Corporation
ISBN 13 : 9780486419763
Total Pages : 638 pages
Book Rating : 4.4/5 (197 download)

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Book Synopsis Applied Partial Differential Equations by : Paul DuChateau

Download or read book Applied Partial Differential Equations written by Paul DuChateau and published by Courier Corporation. This book was released on 2002-01-01 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superb introduction devotes almost half its pages to numerical methods for solving partial differential equations, while the heart of the book focuses on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included, with solutions for many at end of book. For students with little background in linear algebra, a useful appendix covers that subject briefly.

Finite Difference Methods for Ordinary and Partial Differential Equations

Author : Randall J. LeVeque
Publisher : SIAM
ISBN 13 : 0898716292
Total Pages : 342 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Finite Difference Methods for Ordinary and Partial Differential Equations by : Randall J. LeVeque

Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-09-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory textbook from which students can approach more advance topics relating to finite difference methods.

Mathematical Modeling using Differential Equations, and Network Theory

Author : Ioannis Dassios
Publisher : MDPI
ISBN 13 : 3039288253
Total Pages : 160 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Mathematical Modeling using Differential Equations, and Network Theory by : Ioannis Dassios

Download or read book Mathematical Modeling using Differential Equations, and Network Theory written by Ioannis Dassios and published by MDPI. This book was released on 2020-06-23 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Special Issue collects the latest results on differential/difference equations, the mathematics of networks, and their applications to engineering and physical phenomena. It features nine high-quality papers that were published with original research results. The Special Issue brings together mathematicians with physicists, engineers, as well as other scientists.

A First Course in Partial Differential Equations with Complex Variables and Transform Methods

Author : Hans F. Weinberger
Publisher : Courier Corporation
ISBN 13 : 9780486686400
Total Pages : 488 pages
Book Rating : 4.6/5 (864 download)

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Book Synopsis A First Course in Partial Differential Equations with Complex Variables and Transform Methods by : Hans F. Weinberger

Download or read book A First Course in Partial Differential Equations with Complex Variables and Transform Methods written by Hans F. Weinberger and published by Courier Corporation. This book was released on 1995-01-01 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Topics include one-dimensional wave equation, properties of elliptic and parabolic equations, separation of variables and Fourier series, nonhomogeneous problems, and analytic functions of a complex variable. Solutions. 1965 edition.