Mathematical Constants II
eBook - PDF

Mathematical Constants II

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

Mathematical Constants II

About this book

Famous mathematical constants include the ratio of circular circumference to diameter, ? = 3.14 ā€¦, and the natural logarithm base, e = 2.718 ā€¦. Students and professionals can often name 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 the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poissonā€“Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtlā€“Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galtonā€“Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

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Yes, you can access Mathematical Constants II 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. Half Title
  3. Title Page
  4. Imprints Page
  5. Contents
  6. Preface
  7. Notation
  8. 1 Number Theory and Combinatorics
  9. 2 Inequalities and Approximation
  10. 3 Real and Complex Analysis
  11. 4 Probability and Stochastic Processes
  12. 5 Geometry and Topology
  13. Index