Vector Analysis and Cartesian Tensors
eBook - PDF

Vector Analysis and Cartesian Tensors

  1. 266 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Vector Analysis and Cartesian Tensors

About this book

Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Vector Analysis and Cartesian Tensors by D. E. Bourne,P. C. Kendall in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780121190507
eBook ISBN
9781483260709
Edition
2
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Vector Analysis and Cartesian Tensors
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Preface
  7. Chapter 1. Rectangular Cartesian Coordinates and Rotation of Axes
  8. Chapter 2. Scalar and Vector Algebra
  9. Chapter 3. Vector Functions of a Real Variable. Differential Geometry of Curves
  10. Chapter 4. Scalar and Vector Fields
  11. Chapter 5. Line, Surface, and Volume Integrals
  12. Chapter 6. Integral Theorems
  13. Chapter 7. Applications in Potential Theory
  14. Chapter 8. Cartesian Tensors
  15. Chapter 9. Representation Theorems for Isotropic Tensor Functions
  16. Appendix 1: Determinants
  17. Appendix 2: The chain rule for Jacobians
  18. Appendix 3: Expressions for grad, div, curl, and ∇2 in cylindrical and spherical polar coordinates
  19. Answers to Exercises
  20. Index