Elementary Vectors
eBook - PDF

Elementary Vectors

The Commonwealth and International Library: Mathematics Division

  1. 116 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Elementary Vectors

The Commonwealth and International Library: Mathematics Division

About this book

Elementary Vectors is an introductory course in vector analysis which is both rigorous and elementary, and demonstrates the elegance of vector methods in geometry and mechanics. Topics covered range from scalar and vector products of two vectors to differentiation and integration of vectors, as well as central forces and orbits. Comprised of seven chapters, this book begins with an introduction to relevant definitions; addition and subtraction of vectors; multiplication of a vector by a real number; position vectors and distance between two points; and direction cosines and direction ratios. The discussion then turns to scalar and vector products of two vectors; application of vector methods to simple kinematical and dynamical problems concerning the motion of a particle; and differentiation and integration of vectors. Central forces and orbits are also considered, along with the equation of a straight line and that of a plane. A parametric treatment of certain three-dimensional curves and curved surfaces, including the helix, is presented. This monograph will be of value to students, teachers, and practitioners of mathematics.

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Yes, you can access Elementary Vectors by E. Œ. Wolstenholme, W. J. Langford,E. A. Maxwell 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
Pergamon
Year
2014
Print ISBN
9780080216546
eBook ISBN
9781483181929
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Elementary Vectors
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. CHAPTER I. Definitions; addition and subtraction of vectors; multiplication of a vector by a real number; applications to statistical problems; position vectors; distance between two points; direction cosines and direction ratios; applications to geometrical problems
  7. CHAPTER II. Scalar and vector products of two vectors; vector area; scalar and vector triple products
  8. CHAPTER III. Differentiation and integration of vectors
  9. CHAPTER IV. Application of vector methods to simple kinematical and dynamical problems concerning the motion of a particle
  10. CHAPTER V. Central forces and orbits
  11. CHAPTER VI. Equation of a straight line; equation of a plane; geometrical problems
  12. CHAPTER VII. Parametric equations of curves and curved surfaces
  13. ANSWERS
  14. Index