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An Atlas of Functions

with Equator, the Atlas Function Calculator

  • Keit Oldham
  • Jan Myland
  • Jerome Spanier

Table of contents

  1. Front Matter
    Pages i-xi
  2. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 1-11
  3. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 13-19
  4. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 21-27
  5. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 29-38
  6. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 39-44
  7. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 45-48
  8. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 49-56
  9. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 57-65
  10. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 67-74
  11. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 75-80
  12. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 81-93
  13. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 95-102
  14. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 103-112
  15. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 131-138
  16. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 139-146
  17. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 147-158
  18. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 159-174

About this book

Introduction

This second edition of An Atlas of Functions, with Equator, the Atlas Function Calculator, provides comprehensive information on several hundred functions or function families of interest to scientists, engineers and mathematicians who are concerned with the quantitative aspects of their field. Beginning with simple integer-valued functions, the book progresses to polynomials, exponential, trigonometric, Bessel, and hypergeometric functions, and many more. The 65 chapters are arranged roughly in order of increasing complexity, mathematical sophistication being kept to a minimum while stressing utility throughout. In addition to providing definitions and simple properties for every function, each chapter catalogs more complex interrelationships as well as the derivatives, integrals, Laplace transforms and other characteristics of the function. Numerous color figures in two- or three- dimensions depict their shape and qualitative features and flesh out the reader’s familiarity with the functions. In many instances, the chapter concludes with a concise exposition on a topic in applied mathematics associated with the particular function or function family.
Features that make the Atlas an invaluable reference tool, yet simple to use, include:
full coverage of those functions—elementary and "special”—that meet everyday needs
a standardized chapter format, making it easy to locate needed information on such aspects as: nomenclature, general behavior, definitions, intrarelationships, expansions, approximations, limits, and response to operations of the calculus
extensive cross-referencing and comprehensive indexing, with useful appendices
the inclusion of innovative software--Equator, the Atlas Function Calculator
the inclusion of new material dealing with interesting applications of many of the function families, building upon the favorable responses to similar material in the first edition.

Keywords

Jacobi Mathematica applied mathematics behavior complexity elliptic function gamma function mathematics

Authors and affiliations

  • Keit Oldham
    • 1
  • Jan Myland
    • 2
  • Jerome Spanier
    • 3
  1. 1.Dept. Chemistry, Electrochemical Lab.Trent UniversityPeterboroughCanada
  2. 2.Dept. ChemistryTrent UniversityPeterboroughCanada
  3. 3.Beckman Laser InstituteUniversity of California, IrvineIrvineU.S.A.

Bibliographic information