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A Visual Introduction to Differential Forms and Calculus on Manifolds

  • Jon Pierre Fortney

Table of contents

  1. Front Matter
    Pages i-xii
  2. Jon Pierre Fortney
    Pages 1-30
  3. Jon Pierre Fortney
    Pages 31-67
  4. Jon Pierre Fortney
    Pages 69-105
  5. Jon Pierre Fortney
    Pages 107-149
  6. Jon Pierre Fortney
    Pages 151-188
  7. Jon Pierre Fortney
    Pages 189-228
  8. Jon Pierre Fortney
    Pages 229-257
  9. Jon Pierre Fortney
    Pages 259-275
  10. Jon Pierre Fortney
    Pages 277-308
  11. Jon Pierre Fortney
    Pages 309-335
  12. Jon Pierre Fortney
    Pages 337-367
  13. Jon Pierre Fortney
    Pages 369-393
  14. Back Matter
    Pages 395-468

About this book

Introduction

This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented. With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra.

Keywords

differential forms wedgeproduct visualization of differential forms calculus on manifolds integration of differential forms exterior differentiation tangent bundle cotangent bundle pull-backs of differential forms manifolds vector calculus Stokes’ theorem electromagnetism

Authors and affiliations

  • Jon Pierre Fortney
    • 1
  1. 1.Department of Mathematics and StatisticsZayed UniversityDubaiUnited Arab Emirates

Bibliographic information

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