Partial Differential Equations with Fourier Series and Boundary Value Problems

Author: Nakhle H. Asmar
Publisher: Courier Dover Publications
ISBN: 9780486820835
Release Date: 2017-03-23
Genre: Mathematics

This text provides an introduction to partial differential equations and boundary value problems, including Fourier series. The treatment offers students a smooth transition from a course in elementary ordinary differential equations to more advanced topics in a first course in partial differential equations. This widely adopted and successful book also serves as a valuable reference for engineers and other professionals. The approach emphasizes applications, with particular stress on physics and engineering applications. Rich in proofs and examples, the treatment features many exercises in each section. Relevant Mathematica files are available for download from author Nakhlé Asmar's website; however, the book is completely usable without computer access. The Students' Solutions Manual can be downloaded for free from the Dover website, and the Instructor's Solutions Manual is available upon request for professors and potential teachers. The text is suitable for undergraduates in mathematics, physics, engineering, and other fields who have completed a course in ordinary differential equations.

Introduction to Partial Differential Equations

Author: Arne Broman
Publisher: Courier Corporation
ISBN: 9780486153018
Release Date: 2012-04-27
Genre: Mathematics

The self-contained treatment covers Fourier series, orthogonal systems, Fourier and Laplace transforms, Bessel functions, and partial differential equations of the first and second orders. 266 exercises with solutions. 1970 edition.

Applied Partial Differential Equations

Author: Richard Haberman
Publisher: Pearson College Division
ISBN: 0321797051
Release Date: 2013
Genre: Mathematics

Normal 0 false false false This book emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.

Partielle Differentialgleichungen

Author: Walter A. Strauss
Publisher: Springer-Verlag
ISBN: 9783663124863
Release Date: 2013-08-13
Genre: Mathematics

Dieses Buch ist eine umfassende Einführung in die klassischen Lösungsmethoden partieller Differentialgleichungen. Es wendet sich an Leser mit Kenntnissen aus einem viersemestrigen Grundstudium der Mathematik (und Physik) und legt seinen Schwerpunkt auf die explizite Darstellung der Lösungen. Es ist deshalb besonders auch für Anwender (Physiker, Ingenieure) sowie für Nichtspezialisten, die die Methoden der mathematischen Physik kennenlernen wollen, interessant. Durch die große Anzahl von Beispielen und Übungsaufgaben eignet es sich gut zum Gebrauch neben Vorlesungen sowie zum Selbststudium.

Partial Differential Equations with Fourier Series and Boundary Value Problems

Author: Nakhlé H. Asmar
Publisher: Prentice Hall
ISBN: UCSC:32106018961745
Release Date: 2005
Genre: Mathematics

This example-rich reference fosters a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material accessible even to readers with limited exposure to topics beyond calculus. Encourages computer for illustrating results and applications, but is also suitable for use without computer access. Contains more engineering and physics applications, and more mathematical proofs and theory of partial differential equations, than the first edition. Offers a large number of exercises per section. Provides marginal comments and remarks throughout with insightful remarks, keys to following the material, and formulas recalled for the reader's convenience. Offers Mathematica files available for download from the author's website. A useful reference for engineers or anyone who needs to brush up on partial differential equations.

Applied Partial Differential Equations

Author: Paul DuChateau
Publisher: Courier Corporation
ISBN: 9780486141879
Release Date: 2012-10-30
Genre: Mathematics

DIVBook focuses mainly 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. /div

Introduction to Partial Differential Equations

Author: Donald Greenspan
Publisher: Courier Corporation
ISBN: 9780486150932
Release Date: 2012-05-04
Genre: Mathematics

Designed for use in a 1-semester course by seniors and beginning graduate students, this rigorous presentation explores practical methods of solving differential equations, plus the unifying theory underlying the mathematical superstructure. Topics include basic concepts, Fourier series, 2nd-order partial differential equations, wave equation, potential equation, heat equation, and more. Includes exercises. 1961 edition.

A First Course in Partial Differential Equations

Author: H. F. Weinberger
Publisher: Courier Corporation
ISBN: 9780486132044
Release Date: 2012-04-20
Genre: Mathematics

Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.

Boundary and Eigenvalue Problems in Mathematical Physics

Author: Hans Sagan
Publisher: Courier Corporation
ISBN: 9780486150925
Release Date: 2012-04-26
Genre: Science

Well-known text uses a few basic concepts to solve such problems as the vibrating string, vibrating membrane, and heat conduction. Problems and solutions. 31 illustrations.

Linear Partial Differential Equations and Fourier Theory

Author: Marcus Pivato
Publisher: Cambridge University Press
ISBN: 9780521199704
Release Date: 2010-01-07
Genre: Mathematics

This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.

Fourier Series and Orthogonal Functions

Author: Harry F. Davis
Publisher: Courier Corporation
ISBN: 9780486140735
Release Date: 2012-09-05
Genre: Mathematics

An incisive text combining theory and practical example to introduce Fourier series, orthogonal functions and applications of the Fourier method to boundary-value problems. Includes 570 exercises. Answers and notes.

Partial Differential Equations

Author: Thomas Hillen
Publisher: John Wiley & Sons
ISBN: 9781118438435
Release Date: 2014-08-21
Genre: Mathematics

Uniquely provides fully solved problems for linear partial differential equations and boundary value problems Partial Differential Equations: Theory and Completely Solved Problems utilizes real-world physical models alongside essential theoretical concepts. With extensive examples, the book guides readers through the use of Partial Differential Equations (PDEs) for successfully solving and modeling phenomena in engineering, biology, and the applied sciences. The book focuses exclusively on linear PDEs and how they can be solved using the separation of variables technique. The authors begin by describing functions and their partial derivatives while also defining the concepts of elliptic, parabolic, and hyperbolic PDEs. Following an introduction to basic theory, subsequent chapters explore key topics including: • Classification of second-order linear PDEs • Derivation of heat, wave, and Laplace’s equations • Fourier series • Separation of variables • Sturm-Liouville theory • Fourier transforms Each chapter concludes with summaries that outline key concepts. Readers are provided the opportunity to test their comprehension of the presented material through numerous problems, ranked by their level of complexity, and a related website features supplemental data and resources. Extensively class-tested to ensure an accessible presentation, Partial Differential Equations is an excellent book for engineering, mathematics, and applied science courses on the topic at the upper-undergraduate and graduate levels.

Partial Differential Equations for Scientists and Engineers

Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 9780486134734
Release Date: 2012-03-08
Genre: Mathematics

Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.

Introduction to Partial Differential Equations and Hilbert Space Methods

Author: Karl E. Gustafson
Publisher: Courier Corporation
ISBN: 9780486140872
Release Date: 2012-04-26
Genre: Mathematics

Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.

Partial Differential Equations of Mathematical Physics and Integral Equations

Author: Ronald B. Guenther
Publisher: Courier Corporation
ISBN: 9780486137629
Release Date: 2012-09-19
Genre: Mathematics

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.