Skip to content
Register Sign in Wishlist

Linear Partial Differential Equations and Fourier Theory

$178.00 (X)

textbook
  • Date Published: February 2010
  • availability: Available
  • format: Hardback
  • isbn: 9780521199704

$ 178.00 (X)
Hardback

Add to cart Add to wishlist

Other available formats:
Paperback, eBook


Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Do you want a rigorous book that remembers where PDEs come from and what they look like? This highly visual introduction to linear PDEs and initial/boundary value problems connects the math to physical reality, all the time providing a rigorous mathematical foundation for all solution methods. Readers are gradually introduced to abstraction – the most powerful tool for solving problems – rather than simply drilled in the practice of imitating solutions to given examples. The book is therefore ideal for students in mathematics and physics who require a more theoretical treatment than given in most introductory texts. Also designed with lecturers in mind, the fully modular presentation is easily adapted to a course of one-hour lectures, and a suggested 12-week syllabus is included to aid planning. Downloadable files for the hundreds of figures, hundreds of challenging exercises, and practice problems that appear in the book are available online, as are solutions.

    • Online resources include full-colour and three-dimensional illustrations, practice problems and complete solutions for instructors
    • Includes a suggested twelve-week syllabus and lists recommended prerequisites for each section
    • Contains nearly 400 challenging theoretical exercises
    Read more

    Reviews & endorsements

    "I love this bare-handed approach to PDEs. Pivato has succeeded in creating a deeply engaging introductory PDE text; confidence building hands-on work and theory are woven together in a way that appeals to the intuition. Add to that the truly reasonable price, and you have the hands down winner in the field of introductory PDE books. The next time I teach introductory PDE's, I will use Pivato's new text."
    Kevin R. Vixie, Washington State University

    "The book comprises a well-organized exposition of a lot of useful material..."
    Gerald B. Folland, SIAM Review

    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: February 2010
    • format: Hardback
    • isbn: 9780521199704
    • length: 630 pages
    • dimensions: 254 x 178 x 33 mm
    • weight: 1.36kg
    • contains: 150 b/w illus. 380 exercises
    • availability: Available
  • Table of Contents

    Preface
    Notation
    What's good about this book?
    Suggested twelve-week syllabus
    Part I. Motivating Examples and Major Applications:
    1. Heat and diffusion
    2. Waves and signals
    3. Quantum mechanics
    Part II. General Theory:
    4. Linear partial differential equations
    5. Classification of PDEs and problem types
    Part III. Fourier Series on Bounded Domains:
    6. Some functional analysis
    7. Fourier sine series and cosine series
    8. Real Fourier series and complex Fourier series
    9. Mulitdimensional Fourier series
    10. Proofs of the Fourier convergence theorems
    Part IV. BVP Solutions Via Eigenfunction Expansions:
    11. Boundary value problems on a line segment
    12. Boundary value problems on a square
    13. Boundary value problems on a cube
    14. Boundary value problems in polar coordinates
    15. Eigenfunction methods on arbitrary domains
    Part V. Miscellaneous Solution Methods:
    16. Separation of variables
    17. Impulse-response methods
    18. Applications of complex analysis
    Part VI. Fourier Transforms on Unbounded Domains:
    19. Fourier transforms
    20. Fourier transform solutions to PDEs
    Appendices
    References
    Index.

  • Resources for

    Linear Partial Differential Equations and Fourier Theory

    Marcus Pivato

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    *This title has one or more locked files and access is given only to instructors adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.


    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

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

  • Instructors have used or reviewed this title for the following courses

    • Advanced Mathematics
    • Selected Topics in Applied Mathematics
  • Author

    Marcus Pivato, Trent University, Peterborough, Ontario
    Marcus Pivato is Associate Professor in the Department of Mathematics at Trent University in Peterborough, Ontario.

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.
×