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A Friendly Introduction to Number Theory
Joseph H. Silverman
出版
Pearson Prentice Hall
, 2006
主題
Mathematics / General
Mathematics / Advanced
Mathematics / Number Theory
ISBN
0131861379
9780131861374
URL
http://books.google.com.hk/books?id=ypE_AQAAIAAJ&hl=&source=gbs_api
註釋
Starting with nothing more than basic high school algebra, this volume leads readers gradually from basic algebra to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers.Features an informal writing style and includes many numerical examples. Emphasizes the methods used for proving theorems rather than specific results. Includes a new chapter on big-Oh notation and how it is used to describe the growth rate of number theoretic functions and to describe the complexity of algorithms. Provides a new chapter that introduces the theory of continued fractions. Includes a new chapter on “Continued Fractions, Square Roots and Pell’s Equation.” Contains additional historical material, including material on Pell’s equation and the Chinese Remainder Theorem.A useful reference for mathematics teachers.