Skip to content
Register Sign in Wishlist
Complex Analysis with MATHEMATICA®

Complex Analysis with MATHEMATICA®

£69.99

  • Date Published: April 2006
  • availability: Available
  • format: Hardback
  • isbn: 9780521836265

£ 69.99
Hardback

Add to cart Add to wishlist

Other available formats:
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
  • Complex Analysis with Mathematica offers a way of learning and teaching a subject that lies at the heart of many areas of pure and applied mathematics, physics, engineering and even art. This book offers teachers and students an opportunity to learn about complex numbers in a state-of-the-art computational environment. The innovative approach also offers insights into many areas too often neglected in a student treatment, including complex chaos and mathematical art. Thus readers can also use the book for self-study and for enrichment. The use of Mathematica enables the author to cover several topics that are often absent from a traditional treatment. Students are also led, optionally, into cubic or quartic equations, investigations of symmetric chaos and advanced conformal mapping. A CD is included which contains a live version of the book: in particular all the Mathematica code enables the user to run computer experiments.

    • Integration of a course on complex variables with the symbolic computation system Mathematica
    • An introduction to twistor methods and the use of complex variables for 3 and 4 dimensional problems.
    • Integration of a course on complex variables with Mathematica software, supported by the accompanying CD
    Read more

    Reviews & endorsements

    'William Shaw's Complex Analysis with Mathematica is a remarkable achievement. It masterfully combines excellent expositions of the beauties and subtlety of complex analysis, and several of its applications to physical theory, with clear explanations of the flexibility and the power of Mathematica for computing and for generating marvellous graphical displays.' Roger Penrose, University of Oxford

    'This is an innovative text in which the basic ideas of complex analysis are skillfully interwoven with geometry, chaos and physics through the learning and repeated application of Mathematica. This text moves from complex numbers, quadratic and cubic equations through to the Schwarz-Christoffel transformation and four-dimensional physics, and at each stage promotes understanding through geometric intuition and reader participation. It should appeal to anyone with an interest in the geometric side of complex analysis.' Alan F. Beardon, University of Cambridge

    'This book provides an inspiring way to learn complex analysis thanks to the inclusion of many topics of current interest in the field as well as the integration of highly visual Mathematica routines throughout. The book is sure to excite students about the field.' Bob Devaney, Boston University

    'The book is far more than a standard course of complex analysis or a guide to Mathematica® tools.' EMS Newsletter

    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: April 2006
    • format: Hardback
    • isbn: 9780521836265
    • length: 600 pages
    • dimensions: 244 x 170 x 33 mm
    • weight: 1.34kg
    • contains: 57 b/w illus. 79 colour illus. 375 exercises
    • availability: Available
  • Table of Contents

    Preface
    1. Why you need complex numbers
    2. Complex algebra and geometry
    3. Cubics, quartics and visualization of complex roots
    4. Newton-Raphson iteration and complex fractals
    5. A complex view of the real logistic map
    6. The Mandelbrot set
    7. Symmetric chaos in the complex plane
    8. Complex functions
    9. Sequences, series and power series
    10. Complex differentiation
    11. Paths and complex integration
    12. Cauchy's theorem
    13. Cauchy's integral formula and its remarkable consequences
    14. Laurent series, zeroes, singularities and residues
    15. Residue calculus: integration, summation and the augment principle
    16. Conformal mapping I: simple mappings and Mobius transforms
    17. Fourier transforms
    18. Laplace transforms
    19. Elementary applications to two-dimensional physics
    20. Numerical transform techniques
    21. Conformal mapping II: the Schwarz-Christoffel transformation
    22. Tiling the Euclidean and hyperbolic planes
    23. Physics in three and four dimensions I
    24. Physics in three and four dimensions II
    Index.

  • Resources for

    Complex Analysis with MATHEMATICA®

    William T. Shaw

    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.

  • Author

    William T. Shaw, St Catherine's College, Oxford
    William Shaw is a tutor in Mathematics at St Catherine's College, Oxford.

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.
×