Mathematical Constants
eBook - PDF

Mathematical Constants

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

Mathematical Constants

About this book

Famous mathematical constants include the ratio of circular circumference to diameter, pi=3.14 …, and the natural logarithmic base, e=2.178 … Students and professionals usually can name at most a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. Topics covered include the statistics of continued fractions, chaos in nonlinear systems, prime numbers, sum-free sets, isoperimetric problems, approximation theory, self-avoiding walks and the Ising model (from statistical physics), binary and digital search trees (from theoretical computer science), the Prouhet-Thue-Morse sequence, complex analysis, geometric probability and the traveling salesman problem. This book will be helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This is an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

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Yes, you can access Mathematical Constants by Steven R. Finch in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Series Page
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. Notation
  9. 1 Well-Known Constants
  10. 2 Constants Associated with Number Theory
  11. 3 Constants Associated with Analytic Inequalities
  12. 4 Constants Associated with the Approximation of Functions
  13. 5 Constants Associated with Enumerating Discrete Structures
  14. 6 Constants Associated with Functional Iteration
  15. 7 Constants Associated with Complex Analysis
  16. 8 Constants Associated with Geometry
  17. Table of Constants
  18. Author Index
  19. Subject Index
  20. Added in Press