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Differential Geometry and its Applications

Differential Geometry and its Applications

$96.99 (X)


Part of Mathematical Association of America Textbooks

  • Date Published: September 2007
  • availability: Temporarily unavailable - available from TBC
  • format: Hardback
  • isbn: 9780883857489

$ 96.99 (X)

Temporarily unavailable - available from TBC
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About the Authors
  • Differential geometry has a long, wonderful history and has found relevance in many areas. This book studies the differential geometry of surfaces with the goal of helping students make the transition from the standard university curriculum to a type of mathematics that is a unified whole, by mixing geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. Differential geometry is not just for mathematics majors, but also for students in engineering and the sciences. Into the mix of these ideas comes the opportunity to visualize concepts through the use of computer algebra systems such as Maple. The book emphasizes that this visualization goes hand-in-hand with the understanding of the mathematics behind the computer construction. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.

    • Helps students make the transition from the compartmentalized courses to mathematics that is a unified whole
    • Includes a rich selection of exercises
    • Gradually transforms graduates from calculators to thinkers
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    Product details

    • Date Published: September 2007
    • format: Hardback
    • isbn: 9780883857489
    • length: 487 pages
    • dimensions: 261 x 182 x 34 mm
    • weight: 1.17kg
    • availability: Temporarily unavailable - available from TBC
  • Table of Contents

    The Point of this Book
    Book Features
    Elliptic Functions and Maple Note
    For Users of Previous Editions
    Maple 8 to 9
    Note to students
    1. The geometry of curves
    2. Surfaces
    3. Curvatures
    4. Constant mean curvature surfaces
    5. Geodesics, metrics and isometries
    6. Holonomy and the Gauss-Bonnet theorem
    7. The calculus of variations and geometry
    8. A glimpse at higher dimensions
    Appendix A. List of examples
    Appendix B. Hints and solutions to selected problems.

  • Resources for

    Differential Geometry and its Applications

    John Oprea

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  • Author

    John Oprea, Cleveland State University
    John Oprea is a Professor of mathematics at Cleveland State University in Ohio and a Lester R. Ford award recipient

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