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The Queen of Mathematics: A Historically Motivated Guide to Number Theory (Hardback)
The Queen of Mathematics: A Historically Motivated Guide to Number Theory (Hardback)
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VERY GOOD: This book is in very good condition, showing only slight signs of use and wear (mostly in a slightly faded spine and front cover). The covers, pages, and spine are in very good condition, and there is no writing on the pages.Product Details
From the back cover: "This book takes the unique approach of examining number theory as it developed from the 17th through 19th centuries, leading to an understanding of today's research problems on the basis of their historical evolution. Written as a labor of love by an author well known for his expository style, the book introduces the reader to diverse mathematical players: Fermat, Euler, Lagrange, Legendre, Dedekind, Hilbert, and more. Gauss (who gave the field of number theory its sobriquet 'The Queen of Mathematics') and hisDisquisitiones Arithmeticae receive a particularly intensive treatment. The text then moves on to tackle some advanced themes including arithmetic on curves, geometry of numbers,p -adic numbers and valuations, and the interconnected topics of irrational and transcendental numbers and Diophantine appropriation. With its historical framework and narrative style, Goldman's book makes both a lovely resources for mathematicians and an introductory text for students and teachers."CHAPTERS
PART 1: FROM FERMAT TO LEGENDRE
- The Founding Fathers
- Fermat
- Euler
- From Euler to Lagrange; The Theory of Continued Fractions
- Lagrange
- Legendre
- Gauss
- Theory of Congruence 1
- Theory of Congruence 2
- Primitive Roots and Power Residues
- Congruences of the Second Degree
- Binary Quadratic Forms 1: Arithmetic Theory
- Binary Quadratic Forms 2: Geometric Theory
- Cyclotomy
- Algebraic Number Theory 1: The Gaussian Integers and Biquadratic Reciprocity
- Algebraic Number Theory 2: Algebraic Numbers and Quadratic Fields
- Algebraic Number Theory 3: Ideals in Quadratic Fields
- Arithmetic on Curves 1: Rational Points and Plane Algebraic Curves
- Arithmetic on Curves 2: Rational Points and Elliptic Curves
- Arithmetic on Curves 3: The Twentieth Century
- Irrational and Transcendental Numbers, Diophantine Approximations
- Geometry of Numbers
- p-adic Numbers and Valuations
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PUBLISHER: A K Peters
ISBN-13: 9781568810065
ISBN-10: 1568810067