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Mathematical Constants II

£125.00

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: December 2018
  • availability: In stock
  • format: Hardback
  • isbn: 9781108470599

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  • Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 …, and the natural logarithm base, e = 2.718 …. 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, Poisson–Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl–Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton–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.

    • Focuses on concrete and computable results, so that any reader who enjoys numbers will enjoy this book
    • Gathers together previously disparate ideas, giving concise summaries and extensive references
    • Provides many numerical examples paying careful attention to expository clarity, ideal for those who learn best by actively performing calculations
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    Reviews & endorsements

    'Like the best sequels, this one covers similar ground to the original but finds ways to stay fresh and interesting … any mathematician or math student who picks it up and spends a few minutes with it is likely to find something that is new and of interest to them. … Finch has once again written a collection of essays about a wide range of topics that I expect I will enjoy flipping through for another decade and a half until I look forward to having Volume III land on my desk.' Darren Glass, MAA reviews

    'This is a remarkable book … [which] can be thought of as a collection of essays that recount stories that are both successful and tangible.' Paul F. Bracken, MathSciNet

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    Product details

    • Date Published: December 2018
    • format: Hardback
    • isbn: 9781108470599
    • length: 782 pages
    • dimensions: 241 x 160 x 46 mm
    • weight: 1.27kg
    • contains: 79 b/w illus. 32 tables
    • availability: In stock
  • Table of Contents

    1. Number theory and combinatorics
    2. Inequalities and approximation
    3. Real and complex analysis
    4. Probability and stochastic processes
    5. Geometry and topology
    Index.

  • Author

    Steven R. Finch, Massachusetts Institute of Technology
    Steven R. Finch is Research Computing Specialist at the Massachusetts Institute of Technology, Sloan School of Management. He is honoured to have received a Book Fellowship from the Clay Mathematics Institute and a Ford award for expository excellence. After the publication of the first volume of Mathematical Constants (Cambridge, 2003), he worked for three years as a statistical programmer at the Boston University School of Public Health, and then taught for ten years as a preceptor at the Harvard University Department of Statistics.

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