Skip to content
Register Sign in Wishlist

Differential Equations
Linear, Nonlinear, Ordinary, Partial

£117.99

  • Date Published: May 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521816588

£ 117.99
Hardback

Add to cart Add to wishlist

Other available formats:
Paperback, eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Finding and interpreting the solutions of differential equations is a central and essential part of applied mathematics. This book aims to enable the reader to develop the required skills needed for a thorough understanding of the subject. The authors focus on the business of constructing solutions analytically, and interpreting their meaning, using rigorous analysis where needed. MATLAB is used extensively to illustrate the material. There are many worked examples based on interesting and unusual real world problems. A large selection of exercises is provided, including several lengthier projects, some of which involve the use of MATLAB. The coverage is broad, ranging from basic second-order ODEs and PDEs, through to techniques for nonlinear differential equations, chaos, asymptotics and control theory. This broad coverage, the authors' clear presentation and the fact that the book has been thoroughly class-tested will increase its attraction to undergraduates at each stage of their studies.

    • Class-tested with special attention given to areas students find hard
    • Extensive exercises, with solutions available to instructors from solutions@cambridge.org
    • Many examples taken from real-world problems
    Read more

    Reviews & endorsements

    'This is a useful book, providing an excellent introduction to postgraduate studies in applied mathematics. It is very well produced and one is grateful to the publishers for having produced a useful book which, at its paperback price, is reasonable these days … I have no hesitation in giving this book my full recommendation.' The Mathematical Gazette

    '… an eloquent applied differential equations textbook … I'd be delighted if each new graduate student coming to our department knew and was inspired by the contents of this attractive new textbook.' Robert E. O'Malley, Jr, University of Washington

    'I can highly recommend this book for a first introduction to differential equations to both students and teachers.' Monatshefte für Mathematik

    'The book is well-organized, theoretical material, illustrative examples, exercises and projects are carefully selected … The textbook provides a well-balanced exposition of theoretical results and applied techniques and is a welcome contribution to the existing literature on differential equations.' Zentralblatt MATH

    'This is an eloquent applied differential equations textbook, with its own identity … There's no doubt, however, that I'd be delighted if each new graduate student coming to our department knew and was inspired by the contents of this attractive new textbook.' Society for Industrial and Applied Mathematics

    'There are not many books like this about. The real benefit is that it is well within reach of a competent physics student and it should satisfy the most inquisitive minds. Secondly, it contains material on nonlinear differential equations, a topic that is usually left out. The text introduces clever techniques that will help the student develop useful skills rapidly.' Contemporary Physics

    '… a very well written book that will be useful for researchers in ODE-s, PDE-s, classical Calculus, for the physicists, engineers, chemists, biologists and those applying differential equations. The book is warmly recommended also to students with basic knowledge in Analysis.' Acta Scientiarum Mathematicarum

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: May 2003
    • format: Hardback
    • isbn: 9780521816588
    • length: 554 pages
    • dimensions: 244 x 170 x 30 mm
    • weight: 1.08kg
    • contains: 169 b/w illus. 173 exercises
    • availability: Available
  • Table of Contents

    Preface
    Part I. Linear Equations:
    1. Variable coefficient, second order, linear, ordinary differential equations
    2. Legendre functions
    3. Bessel functions
    4. Boundary value problems, Green's functions and Sturm–Liouville theory
    5. Fourier series and the Fourier transform
    6. Laplace transforms
    7. Classification, properties and complex variable methods for second order partial differential equations
    Part II. Nonlinear Equations and Advanced Techniques:
    8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations
    9. Nonlinear ordinary differential equations: phase plane methods
    10. Group theoretical methods
    11. Asymptotic methods: basic ideas
    12. Asymptotic methods: differential equations
    13. Stability, instability and bifurcations
    14. Time-optimal control in the phase plane
    15. An introduction to chaotic systems
    Appendix 1. Linear algebra
    Appendix 2. Continuity and differentiability
    Appendix 3. Power series
    Appendix 4. Sequences of functions
    Appendix 5. Ordinary differential equations
    Appendix 6. Complex variables
    Appendix 7. A short introduction to MATLAB
    Bibliography
    Index.

  • Resources for

    Differential Equations

    A. C. King, J. Billingham, S. R. Otto

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact lecturers@cambridge.org.

  • Authors

    A. C. King, University of Birmingham

    J. Billingham, University of Birmingham

    S. R. Otto, University of Birmingham

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×