An Adventurer's Guide to Number Theory (Dover Books on Mathematics)
Language: English
Published by Dover Publications, 1995
- Softcover
- Used
Seller: Wonder Book, Frederick, MD, U.S.A.Wonder Book
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Condition: Used - As new
US$ 7.94
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Like New condition. A near perfect copy that may have very minor cosmetic defects.
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- Title
- An Adventurer's Guide to Number Theory (Dover Books on Mathematics)
- Author
- Friedberg, Richard
- Publisher
- Dover Publications
- Publication year
- 1995
- Condition
- As New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0486281337
- ISBN 13
- 9780486281339
- Series
- Book 101 of 303: Dover Books on Mathematics
In this delightful guide, a noted mathematician and teacher offers a witty, historically oriented introduction to number theory, dealing with properties of numbers and with numbers as abstract concepts. Mr. Friedberg encourages students to think about the imaginative, playful qualities of numbers as they consider such subjects as:
- Primes and divisibility
- Beginning algebra, geometry, and discussions of Euclid's Elements, calculus, and set theory
- Quadratic forms and residue arithmetic and quadratic reciprocity and related theorems
Moreover, the author has included a number of unusual features to challenge and stimulate students:
- The original problems in Diophantus' Arithmetica
- Proofs of Fermat's Last Theorem for the exponents 3and 4
- Two proofs of Wilson's Theorem
Also included is a Table of Theorems grouped into categories according to subject, and an Index of Mathematicians. Readers with a mathematical bent will enjoy and benefit from these entertaining and thought-provoking adventures in the fascinating realm of number theory. Mr. Friedberg is a theoretical physicist who has contributed to a wide variety of problems in mathematics and physics, including mathematical logic, number theory, solid state physics, general relativity, particle physics, quantum optics, genome research, and the foundations of quantum physics.
Dover is widely recognized for a magnificent mathematics list featuring such world-class theorists as Paul J. Cohen (Set Theory and the Continuum Hypothesis), Alfred Tarski (Undecidable Theories), Gary Chartrand (Introductory Graph Theory), Hermann Weyl (The Concept of a Riemann Surface), Shlomo Sternberg (Dynamical Systems), and multiple works by C. R. Wylie in geometry, plus Stanley J. Farlow's Partial Differential Equations for Scientists and Engineers.
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