A Friendly Introduction to Number Theory | Fourth Edition | By Pearson Book Information:

troduction to number theory, 4th edition is designed to introduce students to the overall themes and methodology of Mathematics through the detailed study of one particular facetnumber theory. Starting with nothing more than basic high school Algebra, students are gradually led to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers. The writing is appropriate for the undergraduate audience and includes many numerical examples, which are analysed for patterns and used to make conjectures. Emphasis is on the methods used for proving theorems rather than on specific results. Table of Contents: br>Chapter 1: What is number theory? Br>chapter 2: Pythagorean triples br>Chapter 3: Pythagorean triples and the br>Unit circle br>Chapter 4: sums of higher powers and fermats last theorem br>Chapter 5: Divisibility and the greatest common divisor br>Chapter 6: Linear Equations and the greatest common divisor br>Chapter 7: factorization and the fundamental theorem of Arithmetic br>Chapter 8: congruences br>Chapter 9: congruences, powers, and fermats little theorem br>Chapter 10: congruences, powers, and eulers formula br>Chapter 11: eulers Phi function and the Chinese Remainder theorem br>Chapter 12: prime numbers br>Chapter 13: counting primes br>Chapter 14: Mersenne primes br>Chapter 15: Mersenne primes and perfect numbers br>Chapter 16: powers modulo M and successive Squaring br>Chapter 17: computing kth roots modulo M br>Chapter 18: powers, roots, and unbreakable codes br>Chapter 19: primality testing and Carmichael numbers br>Chapter 20: squares modulo br br>Chapter 21: is -1 a Square modulo br? Is 2? Br>chapter 22: Quadratic Reciprocity br>Chapter 23: proof of Quadratic Reciprocity br>Chapter 24: which primes are sums of two squares? Br>chapter 25: which numbers are sums of two squares? Br>chapter 26: as easy as one, two, three br>Chapter 27: eulers Phi function and sums of divisors br>Chapter 28: powers modulo br And primitive roots br>Chapter 29: primitive roots and Indices br>Chapter 30: The equation X4 + Y4 = Z4 br>Chapter 31: squaretriangular numbers Revisited br>Chapter 32: pells equation br>Chapter 33: diophantine approximation br>Chapter 34: diophantine approximation and pells equation br>Chapter 35: Number theory and imaginary numbers br>Chapter 36: The Gaussian Integers and unique factorization br>Chapter 37: irrational numbers and transcendental numbers br>Chapter 38: Binomial coefficients and pascals triangle br>Chapter 39: fibonaccis rabbits and linear recurrence sequences br>Chapter 40: Oh, what a beautiful function br>Chapter 41: cubic curves and Elliptic curves br>Chapter 42: Elliptic curves with few rational points br>Chapter 43: points on Elliptic curves modulo br br>Chapter 44: torsion collections modulo br And bad primes br>Chapter 45: defect bounds and modularity patterns br>Chapter 46: Elliptic curves and fermats last theorem br>Chapter 47: The topsy-turvey world of continued Fractions [online] br>Chapter 48: continued Fractions, Square Roots, and pells equation [online] br>Chapter 49: generating functions [online] br>Chapter 50: sums of powers [online].

• Book Type/Genre :

Higher Education Textbooks

• Book Binding :

Paperback

• Language :

English

• Number of Pages :

Page count varies on each edition/reprint

• ISBN - 10 :

• A Friendly Introduction to Number Theory | Fourth Edition | By Pearson Published On :

2019

• Resource:

Textbooks & Study Guides, Higher Education Textbooks Book is recommended for Students, Teachers, Graduates, Professionals, and all bibliophiles

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