Essentials of Math Methods for Physicists
eBook - PDF

Essentials of Math Methods for Physicists

  1. 960 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Essentials of Math Methods for Physicists

About this book

Essentials of Math Methods for Physicists aims to guide the student in learning the mathematical language used by physicists by leading them through worked examples and then practicing problems. The pedagogy is that of introducing concepts, designing and refining methods and practice them repeatedly in physics examples and problems. Geometric and algebraic approaches and methods are included and are more or less emphasized in a variety of settings to accommodate different learning styles of students. Comprised of 19 chapters, this book begins with an introduction to the basic concepts of vector algebra and vector analysis and their application to classical mechanics and electrodynamics. The next chapter deals with the extension of vector algebra and analysis to curved orthogonal coordinates, again with applications from classical mechanics and electrodynamics. These chapters lay the foundations for differential equations, variational calculus, and nonlinear analysisin later discussions. High school algebra of one or two linear equations is also extended to determinants and matrix solutions of general systems of linear equations, eigenvalues and eigenvectors, and linear transformations in real and complex vector spaces. The book also considers probability and statistics as well as special functions and Fourier series. Historical remarks are included that describe some physicists and mathematicians who introduced the ideas and methods that were perfected by later generations to the tools routinely used today. This monograph is intended to help undergraduate students prepare for the level of mathematics expected in more advanced undergraduate physics and engineering courses.

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Yes, you can access Essentials of Math Methods for Physicists by Hans J. Weber,George B. Arfken in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mechanics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2013
Print ISBN
9781483200590
eBook ISBN
9781483225623
Topic
Physical Sciences
Subtopic
Mechanics

Table of contents

  1. Front Cover
  2. Essentials of Math Methods for Physicists
  3. Table of Contents
  4. Preface
  5. Chapter 1. VECTOR ANALYSIS
  6. Chapter 2. VECTOR ANALYSIS IN CURVED COORDINATES AND TENSORS
  7. Chapter 3. DETERMINANTS AND MATRICES
  8. Chapter 4. GROUP THEORY
  9. Chapter 5. INFINITE SERIES
  10. Chapter 6. FUNCTIONS OF A COMPLEX VARIABLE I
  11. Chapter 7. FUNCTIONS OF A COMPLEX VARIABLE II
  12. Chapter 8. DIFFERENTIAL EQUATIONS
  13. Chapter 9. STURM-LIOUVILLE THEORY–ORTHOGONAL FUNCTIONS
  14. Chapter 10. THE GAMMA FUNCTION(FACTORIAL FUNCTION)
  15. Chapter 11. LEGENDRE POLYNOMIALS AND SPHERICAL HARMONICS
  16. Chapter 12. BESSEL FUNCTIONS
  17. Chapter 13. HERMITE AND LAGUERRE POLYNOMIALS
  18. Chapter 14. FOURIER SERIES
  19. Chapter 15. INTEGRAL TRANSFORMS
  20. Chapter 16. PARTIAL DIFFERENTIAL EQUATIONS
  21. Chapter 17. PROBABILITY
  22. Chapter 18. CALCULUS OF VARIATIONS
  23. Chapter 19. NONLINEAR METHODS AND CHAOS
  24. APPENDIX
  25. GENERAL REFERENCES
  26. VECTOR CALCULUS
  27. CURVED ORTHOGONAL COORDINATES
  28. NTEGRALS