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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
  19. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 175-180
  20. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 181-186
  21. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 187-196
  22. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 197-208
  23. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 209-216
  24. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 217-227
  25. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 229-239
  26. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 241-253
  27. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 255-267
  28. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 269-279
  29. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 281-288
  30. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 289-296
  31. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 297-307
  32. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 309-328
  33. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 329-338
  34. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 339-350
  35. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 351-366
  36. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 367-374
  37. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 375-383
  38. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 385-394
  39. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 395-404
  40. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 405-415
  41. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 427-433
  42. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 435-448
  43. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 449-460
  44. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 461-470
  45. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 471-484
  46. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 485-496
  47. Keith B. Oldham, Jan C. Myland, Jerome Spanier
    Pages 497-506

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