Lectures on Differential Geometry with Maple
eBook - ePub

Lectures on Differential Geometry with Maple

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Lectures on Differential Geometry with Maple

About this book

This text is designed to update the Differential Geometry course by making it more relevant to today's students. This new approach emphasizes applications and computer programs aimed at twenty-first-century audiences. It is intended for mathematics students, applied scientists, and engineers who attempt to integrate differential geometry techniques in their work or research.

The course can require students to carry out a daunting amount of time-consuming hand computations like the computation of the Christoffel symbols. As a result, the scope of the applied topics and examples possible to cover might be limited. In addition, most books on this topic have only a scant number of applications.

The book is meant to evolve the course by including topics that are relevant to students. To achieve this goal, this book uses numerical, symbolic computations, and graphical tools as an integral part of the topics presented. This book provides students with a set of Maple/MATLAB® programs that will enable them to explore the course topics visually and in depth. These programs facilitate topic and application integration and provide the student with visual reinforcement of the concepts, examples, and exercises of varying complexity.

This unique text will empower students and users to explore in depth and visualize the topics covered, while these programs can be easily modified for other applications or other packages of numerical/symbolic languages. The programs are available to download for instructors and students using this book for coursework.

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Yes, you can access Lectures on Differential Geometry with Maple by Mayer Humi in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2025
eBook ISBN
9781040401262

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Table of Contents
  7. Preface
  8. 1 Geometry of Curves in 3D
  9. 2 Introduction to Classical Riemannian Geometry
  10. 3 Tensor Analysis on Riemann Manifolds
  11. 4 Basic Topology and Analysis
  12. 5 Differential Manifolds
  13. 6 Differentiation on Manifolds
  14. 7 Vectors and Bundles
  15. 8 Differential Forms
  16. 9 Integration on Manifolds in Rn
  17. 10 Integration on Manifolds
  18. 11 Symmetry and Lie Groups
  19. Index