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Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is 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 work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.Read more
- Broad spectrum of mathematics is covered, even statistical physics and theoretical computer science
- The mathematical story of each constant is given clearly and concisely, with formulas, interrelationships, and applications
- Full bibliographies are provided, with pointers to the most recent, cutting-edge research
- Winner of the 2005 Lester R. Ford Award for Expository Excellence
Reviews & endorsements
"Enormous fun, and you don't even have to follow any difficult arguments; a treasure-trove for the mathematical beachcomber."
The Mathematical GazetteSee more reviews
"I think all mathematicians should own this book...there are sections where the author conveys admirably his excitement over some unexpected and beautiful sequence of ideas. I pay the author the earnest compliment of stating that nearly every page in the book is an adventure."
The Mathematical Intelligencer
"Very accessible...The author's clear and engaging style makes the book a pleasure to read."
"This is a very useful book...The emphasis is on the mathematical origin of the constants and their interrelationships. The aim is always to be clear and complete, to motivate why a particular constant or idea is important, and to indicate exactly where in the literature one should look for rigorous proofs and further elaboration. This book should be in each mathematical library."
Monatshefte für Mathematik
"I consider this book to be an essential component of all mathematical libraries. I have placed it on my 'within the grasp' shelf and have strongly recommended to the college library that it be added to the reference collection."
Charles Ashbacher, amazon.com
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- Date Published: August 2003
- format: Hardback
- isbn: 9780521818056
- length: 624 pages
- dimensions: 243 x 166 x 39 mm
- weight: 0.99kg
- contains: 62 b/w illus. 9 tables
- availability: Available
Table of Contents
1. Well-known constants
2. Constants associated with number theory
3. Constants associated with analytic inequalities
4. Constants associated with the approximation of functions
5. Constants associated with enumerating discrete structures
6. Constants associated with functional iteration
7. Constants associated with complex analysis
8. Constants associated with geometry
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