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9787111385813 Number Theory Introduction (English version 4th Edition)(Chinese Edition)
Edité par
Machinery Industry Press, 2012
ISBN 10 : 7111385810
ISBN 13 : 9787111385813
Neuf
paperback
Vendeur : liu xing, Nanjing, JS, Chine
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paperback. Etat : New. Ship out in 2 business day, And Fast shipping, Free Tracking number will be provided after the shipment.Paperback. Pub Date :2012-06-01 Pages: 409 Publisher: Machinery Industry Press title: Introduction to Number Theory (English 4) List Price: 69.00 yuan Author: Silverman (U.S.) book publishing house : Machine Press Publication Date :2012-6-1ISBN: 9787111385813 Number of words: Page: 409 Revision: 1 Binding: Paperback: 16 Weight: Editor's Summary Introduction to Number Theory (4th edition of the English version.) about non-math-oriented students knowledge of number theory. teach them how to use mathematical methods to think. and introduced some of the topics at the forefront of number theory. Easy writing style used in this book. leading the reader into the world of the wonderful number theory. continue to inspire the reader's curiosity. and carefully designed exercises to foster the spirit of exploration and innovation capacity of the readers. For the proof of the theorem. the emphasis on the method of proof and not just to get a specific result. Compared to version 3. release of specific update is as follows: a new chapter. detailed mathematical induction (Chapter 26). The preface of the flow chart of dependencies between chapters. to easy readers choose to read. Adjust the organizational structure of the content. the reductio ad absurdum of the relevant material before the move to Chapter 8. the relevant sections of the original roots to the quadratic reciprocity anti-law and square and after 47 to Chapter 50 of the previous version of the content moved online. Gives a complete proof of the quadratic reciprocity law. and Jacobi symbols quadratic reciprocity part of the proof. Update the instance of the book and chapter exercises. The the directory PrefaceFlowchart of Chapter DependenciesIntroduction1 What Is Number Theory2 PYTHAGOREAN Triples3 PYTHAGOREAN Triples and the Unit Circle4 Sums of Higher Powers and Fermat's's Last Theorem5 Divisibility and the Greatest Common Divisor6 Linear Equations and the Greatest Common Divisor7 Factorization and the Fundamental Theorem is ofArithmetic . 8 Congruences9 Congruences. Powers. and Fermat's Little Theorem10 Congruences. Powers. and Euler's Formula11 Euler's Phi Function and the Chinese Remainder Theorem . 12 Prime Numbers13 Counting Primes14 Mersenne Primes15 Mersenne Primes and Perfect Numbers16 Powers Modulo m and Successive Squaring17 Computing k th Roots Modulo rn18 Powers. Roots . and Uneakable Codes19 Primality Testing and Carmichael Numbers20 Squares Modulo p21 Is - 1 a Square Modulop Is 222 Quadratic Reciprocity23 Proof of Quadratic Reciprocity24 Which Primes Are Sums of Two Squares25 Which Numbers Are Sums of Two Squares26 As Easy as One. Two . Three27 Euler's Phi Function and Sums of Divisors28 Powers Modulo p and Primitive Roots29 Primitive Roots and Indices30 The Equation X4 y4 = z431 Square-Triangular Numbers Revisited '.32 Pell's Equation33 Diophantine Approximation34 Diophantine Approximation and Pell's Equation35 Number Theory and Imaginary Numbers36 The Gaussian Integers and Unique Factorization37 Irrational Numbers and Transcendental Numbers38 Binomial Coefficients and Pascal's Triangle39 Fibonacci's Rabbits and Linear Recurrence Sequences40 Oh. What a Beautiful Function41 Cubic Curves and Elliptic Curves42 Elliptic Curves with Few Rational Points43 Points on Elliptic Curves Modulo p44 Torsion Collections Modulo p and Bad Primes45 Defect the Bounds and Modularity Patterns46. Elliptic Curves and Fermat's's Last TheoremFurther ReadingIndex47 of The Topsy-Turvy World of Continued Fractions 48 Continued Fractions and Pell's Equation 49 Generating Functions 50 Sums of Powers A factorization of Small Composite Integers BA the List of Primes author. Joseph H. Silverman has a Ph.D. from Harvard University. He is currently a professor of mathematics at Brown University. previously taught at the Massachusetts Institute of Technology and Boston University. In 1998. he re. N° de réf. du vendeur FT058192
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