Solution Techniques for Elementary Partial Differential Equations

Christian Constanda

$124

Paperback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Chapman & Hall/CRC
10 August 2022

Differential calculus & equations

"""In my opinion, this is quite simply the best book of its kind that I have seen thus far."" —Professor Peter Schiavone, University of Alberta, from the Foreword to the Fourth Edition

Praise for the previous editions

An ideal tool for students taking a first course in PDEs, as well as for the lecturers who teach such courses."" —Marian Aron, Plymouth University, UK

""This is one of the best books on elementary PDEs this reviewer has read so far. Highly recommended."" —CHOICE

Solution Techniques for Elementary Partial Differential Equations, Fourth Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). It provides a streamlined, direct approach to developing students’ competence in solving PDEs, and offers concise, easily understood explanations and worked examples that enable students to see the techniques in action.

New to the Fourth Edition

Two additional sections A larger number and variety of worked examples and exercises A companion pdf file containing more detailed worked examples to supplement those in the book, which can be used in the classroom and as an aid to online teaching"

By: Christian Constanda
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Edition: 4th edition
Dimensions: Height: 234mm, Width: 156mm,
Weight: 639g
ISBN: 9781032000312
ISBN 10: 1032000317
Pages: 440
Publication Date: 10 August 2022
Audience: College/higher education , A / AS level
Format: Paperback
Publisher's Status: Active

1. Ordinary Differential Equations: Brief Review. 1.1. First-Order Equations. 1.2. Homogeneous Linear Equations with Constant Coefficients. 1.3. Nonhomogeneous Linear Equations with Constant Coefficients. 1.4. Cauchy–Euler Equations. 1.5. Functions and Operators. 2. Fourier Series. 2.1. The Full Fourier Series. 2.2. Fourier Sine and Cosine Series. 2.3. Convergence and Differentiation. 2.4. Series Expansion of More General Functions. 3. Sturm–Liouville Problems. 3.1. Regular Sturm–Liouville Problems. 3.2. Other Problems. 3.3. Bessel Functions. 3.4. Legendre Polynomials. 3.5. Spherical Harmonics. 4. Some Fundamental Equations of Mathematical Physics. 4.1. The Heat Equation. 4.2 The Laplace Equation. 4.3. The Wave Equation. 4.4. Other Equations. 5. The Method of Separation of Variables. 5.1. The Heat Equation. 5.2. The Wave Equation. 5.3. The Laplace Equation. 5.4. Other Equations. 5.5. Equations with More than Two Variables. 6. Linear Nonhomogeneous Problems. 6.1. Equilibrium Solutions. 6.2. Nonhomogeneous Problems. 7. The Method of Eigenfunction Expansion. 7.1. The Nonhomogeneous Heat Equation. 7.2. The Nonhomogeneous Wave Equation. 7.3. The Nonhomogeneous Laplace Equation. 7.4. Other Nonhomogeneous Equations. 8. The Fourier Transformations. 8.1. The Full Fourier Transformation. 8.2. The Fourier Sine and Cosine Transformations. 8.3. Other Applications. 9. The Laplace Transformation. 9.1. Definition and Properties. 9.2. Applications. 10. The Method of Green's Functions. 10.1. The Heat Equation. 10.2. The Laplace Equation. 10.3. The Wave Equation. 11. General Second-Order Linear Equations. 11.1. The Canonical Form. 11.2. Hyperbolic Equations. 11.3. Parabolic Equations. 11.4. Elliptic Equations. 11.5. Other Problems. 12. The Method of Characteristics. 12.1. First-Order Linear Equations. 12.2. First-Order Quasilinear Equations. 12.3. The One-Dimensional Wave Equation. 12.4. Other Hyperbolic Equations. 13. Perturbation and Asymptotic Methods. 13.1. Asymptotic Series. 13.2. Regular Perturbation Problems. 13.3. Singular Perturbation Problems. 14. Complex Variable Methods. 14.1. Elliptic Equations. 14.2. Systems of Equations. Appendices.

Christian Constanda, MS, PhD, DSc, is the Charles W. Oliphant Endowed Chair in Mathematical Sciences and director of the Center for Boundary Integral Methods at the University of Tulsa. He is also an emeritus professor at the University of Strathclyde and chairman of the International Consortium on Integral Methods in Science and Engineering. He is the author/editor of more than 30 books and more than 150 journal papers. His research interests include boundary value problems for elastic plates with transverse shear deformation, direct and indirect integral equation methods for elliptic problems and time-dependent problems, and variational methods in elasticity.