Vector Analysis
eBook - ePub

Vector Analysis

  1. 304 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Vector Analysis

About this book

The use of vectors not only simplifies treatments of differential geometry, mechanics, hydrodynamics, and electrodynamics, but also makes mathematical and physical concepts more tangible and easy to grasp. This text for undergraduates was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into these subjects' manifold applications. The applications are developed to the extent that the uses of the potential function, both scalar and vector, are fully illustrated. Moreover, the basic postulates of vector analysis are brought to the foreground, placing their logical structure in sharp relief.
Because the concept of a vector has been greatly generalized in geometry and mathematical physics, this text concludes with a brief introduction to abstract vector spaces, together with the ideas of linear dependence, basis, and dimension. The exposition of these abstract concepts is kept simple and clear. Numerous figures appear throughout the text.

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Yes, you can access Vector Analysis by Louis Brand in PDF and/or ePUB format, as well as other popular books in Mathematics & Vector Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Dedication
  5. Preface
  6. Contents
  7. Chapter 1. Vector Algebra
  8. Chapter 2. Line Vectors
  9. Chapter 3. Vector Functions of One Variable
  10. Chapter 4. Differential Invariants
  11. Chapter 5. Integral Theorems
  12. Chapter 6. Dynamics
  13. Chapter 7. Fluid Mechanics
  14. Chapter 8. Electrodynamics
  15. Chapter 9. Vector Spaces
  16. Appendix
  17. Index