Skip to content
Register Sign in Wishlist
Ordinary Differential Equations

Ordinary Differential Equations
From Calculus to Dynamical Systems

£36.99

Part of Mathematical Association of America Textbooks

  • Date Published: August 2015
  • availability: Temporarily unavailable - available from TBC
  • format: Hardback
  • isbn: 9781939512048

£ 36.99
Hardback

Temporarily unavailable - available from TBC
Notify me when available Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Techniques for studying ordinary differential equations (ODEs) have become part of the required toolkit for students in the applied sciences. This book presents a modern treatment of the material found in a first undergraduate course in ODEs. Standard analytical methods for first- and second-order equations are covered first, followed by numerical and graphical methods, and bifurcation theory. Higher dimensional theory follows next via a study of linear systems of first-order equations, including background material in matrix algebra. A phase plane analysis of two-dimensional nonlinear systems is a highlight, while an introduction to dynamical systems and an extension of bifurcation theory to cover systems of equations will be of particular interest to biologists. With an emphasis on real-world problems, this book is an ideal basis for an undergraduate course in engineering and applied sciences such as biology, or as a refresher for beginning graduate students in these areas.

    • Essential reading for students in engineering and other applied sciences
    • The text presents important results in dynamical systems and applications to population biology
    • Numerical and graphical methods are considered alongside analytical methods
    Read more

    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: August 2015
    • format: Hardback
    • isbn: 9781939512048
    • length: 326 pages
    • dimensions: 260 x 182 x 22 mm
    • weight: 0.73kg
    • availability: Temporarily unavailable - available from TBC
  • Table of Contents

    Preface
    Sample course outline
    1. Introduction to differential equations
    2. First-order differential equations
    3. Second-order differential equations
    4. Linear systems of first-order differential equations
    5. Geometry of autonomous systems
    6. Laplace transforms
    Appendix A. Answers to odd-numbered exercises
    Appendix B. Derivative and integral formulas
    Appendix C. Cofactor method for determinants
    Appendix D. Cramer's rule for solving systems of linear equations
    Appendix E. The Wronskian
    Appendix F. Table of Laplace transforms
    Index
    About the author.

  • Author

    Virginia W. Noonburg, University of Hartford, Connecticut
    Virginia W. Noonburg gained a BA in Mathematics from Cornell University, before spending four years as a computer programmer at the knolls Atomic Power Lab near Schenectady, New York. After returning to Cornell and earning a PhD in Mathematics, she taught first at Vanderbilt University in Nashville, Tennessee and then at the University of Hartford in West Hartford, Connecticut (from which she has recently retired as professor emerita). During the late 1980s she twice taught as a visiting professor at Cornell, and also earned a Cornell MS Eng degree in Computer Science.

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 ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

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.
×