History of Mathematics An Introduction

ISBN-10: 0073051896

ISBN-13: 9780073051895

Edition: 6th 2007 (Revised)

Authors: David M. Burton

List price: $151.56
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Description:

David Burton covers the history behind the topics typically covered in an undergraduate maths curriculum or in elementary or high schools. He illuminates the people, stories, and social context behind mathematics' greatest historical advances, while maintaining appropriate focus on the mathematical concepts themselves.
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Book details

List price: $151.56
Edition: 6th
Copyright year: 2007
Publisher: McGraw-Hill Higher Education
Publication date: 11/8/2005
Binding: Hardcover
Pages: 800
Size: 8.00" wide x 9.25" long x 1.00" tall
Weight: 3.124
Language: English

Preface
Early Number Systems and Symbols
Primitive Counting
A Sense of Number Notches as Tally Marks
The Peruvian Quipus: Knots as Numbers
Number Recording of the Egyptians and Greeks
The History of Herodotus Hieroglyphic
Representation of Numbers Egyptian Hieratic Numeration
The Greek Alphabetic Numeral System
Number Recording of the Babylonians
Babylonian Cuneiform Script Deciphering Cuneiform: Grotefend and Rawlinson
The Babylonian Positional Number System Writing in Ancient China
Mathematics in Early Civilizations
The Rhind Papyrus Egyptian Mathematical Papyri A Key To Deciphering: The Rosetta Stone
Egyptian Arithmetic Early Egyptian Multiplication
The Unit Fraction Table Representing Rational Numbers
Four Problems from the Rhind Papyrus
The Method of False Position
A Curious Problem Egyptian Mathematics as Applied Arithmetic
Egyptian Geometry Approximating the Area of a Circle
The Volume of a Truncated Pyramid Speculations About the Great Pyramid
Babylonian Mathematics A Tablet of Reciprocals
The Babylonian Treatment of Quadratic Equations
Two Characteristic Babylonian Problems
Plimpton A Tablet Concerning Number
Triples Babylonian Use of the Pythagorean Theorem
The Cairo Mathematical Papyrus
The Beginnings of Greek Mathematics
The Geometric Discoveries of Thales Greece and the Aegean Area
The Dawn of Demonstrative Geometry: Thales of Miletos Measurements Using Geometry
Pythagorean Mathematics Pythagoras and His Followers Nichomachus'Introductio Arithmeticae
The Theory of Figurative Numbers Zeno's Paradox
The Pythagorean Problem Geometric Proofs of the Pythagorean Theorem
Early Solutions of the Pythagorean Equation
The Crisis of Incommensurable Quantities Theon's Side and Diagonal Numbers Eudoxus of Cnidos
Three Construction Problems of Antiquity Hippocrates and the Quadrature of the Circle
The Duplication of the Cube
The Trisection of an Angle
The Quadratrix of Hippias Rise of the Sophists Hippias of Elis
The Grove of Academia: Plato's Academy
The Alexandrian School: Euclid
Euclid and theElements A Center of Learning: The Museum Euclid's Life and Writings
Euclidean Geometry Euclid's Foundation for Geometry
Book I of theElements Euclid's Proof of the Pythagorean Theorem
Book II on Geometric Algebra Construction of the Regular Pentagon
Euclid's Number Theory Euclidean Divisibility Properties
The Algorithm of Euclid
The Fundamental Theorem of Arithmetic
An Infinity of Primes
Eratosthenes, the Wise Man of Alexandria
The Sieve of Eratosthenes Measurement of the Earth
TheAlmagestof Claudius Ptolemy Ptolemy's Geographical Dictionary
Archimedes The Ancient World's Genius
Estimating the Value ofp The Sand-Reckoner
Quadrature of a Parabolic Segment
Apollonius of Perga: theConics
The Twilight of Greek Mathematics: Diophantus
The Decline of Alexandrian Mathematics
The Waning of the Golden Age
The Spread of Christianity Constantinople, A Refuge for Greek Learning
he Arithmetica Diophantus's Number Theory Problems from theArithmetica
Diophantine Equations in Greece, India, and China
The Cattle Problem of Archimedes Early Mathematics in India
The Chinese Hundred Fowls Problem
The Later Commentators
TheMathematical Collectionof Pappus Hypatia, the First Woman Mathematician Roman Mathematics: Boethius and Cassiodorus
Mathematics in the Near and Far East
The Algebra of al-Khoworizm Ab Kamil and Thobit ibn Qurra Omar Khayyam
The Astronomers al-Tusi and al-Karashi
The Ancient ChineseNine Chapters Later Chine
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