Table of contents for The age of genius : 1300 to 1800 / Michael J. Bradley.

Bibliographic record and links to related information available from the Library of Congress catalog.

Note: Contents data are machine generated based on pre-publication provided by the publisher. Contents may have variations from the printed book or be incomplete or contain other coding.


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CONTENTS
Preface												viii
Acknowledgments										x
Introduction											xii
1. Ghiyth al-D+n Jamsh+d Mas kd al-Ksh+ (ca. 1380-1429): Accurate Decimal Approximations										1
 	Early Astronomical Writings								2
	Determining the Value of À								5
	Roots, Decimals, and Domes								8
	Estimating EMBED Equation.3 									11
	Minor Works										13
	Conclusion										14
2. François Viète (1540-1603): Father of Modern Algebra				16
	Lawyer, Tutor, Government Official, and Code-Breaker				16
	Early Writings on Mathematics and Science						17
	Modern Algebra Introduced as the Analytic Art 					19
	Theory of Equations Provides Diverse Methods of Solution				23
	Further Advances in Geometry, Trigonometry, and Algebra				25
	Conclusion										29
3. John Napier (1550-1617): Coinventor of Logarithms					32
	Inventor and Theologian								32
	Rumored to Be a Magician								34
	Napier¿s Bones Aid in Multiplication							36
	Logarithms Simplify Computation							38
	Logarithms Receive International Acclaim						40
	Additional Mathematical Contributions 						42
	Conclusion										43
4. Pierre de Fermat (1601-1665): Father of Modern Number Theory			47
	Professional Life Leaves Time for Mathematical Investigations			47
	Origins of Analytic Geometry							49
	Essential Ideas in Calculus								51
	Fundamentals of the Theory of Probability 						54
	Questions about Primes and Divisibility Define Modern Number Theory		55
	Writing Numbers as Sums of Powers 						57
	Conclusion										60
5. Blaise Pascal (1623-1662): Coinventor of Probability Theory				63
	Discoveries in Projective Geometry							63
	Calculating Machine Performs Addition and Subtraction				65
	Experiments on Vacuums and Air Pressure						66
	Foundations of Probability Theory and the Arithmetic Triangle 			68
	Study of the Cycloid Reinvigorates Pascal¿s Interest in Mathematics		70
	Conclusion										73
6. Sir Isaac Newton (1642-1727): Calculus, Optics, and Gravity				76
	Education and Early Life								76
	Infinite Series and the General Binomial Theorem 					78
	Method of Fluxions Introduces the Formal Theory of Calculus			80
	Additional Mathematical Treatises							83
	A New Theory of Light								85
	Laws of Motion and the Principle of Universal Gravitation				87
	Activities beyond Mathematics and Physics						90
	Conclusion										91
7. Gottfried Leibniz (1646-1716): Coinventor of Calculus				94
	Family and Education									94
	Service to Royal Patrons								95
 	General Theory of Calculus								98
	Additional Mathematical Discoveries							102
	Philosophy, Dynamics, and Theology						105
	Conclusion										106
8. Leonhard Euler (1707-1783): Leading Mathematician of the 18th Century		109
	Student Years, 1707-1726								109
	Early Years at St. Petersburg Academy, 1727-1741					111
	Middle Years at Berlin Academy, 1741-1766					116
	Return to St. Petersburg Academy, 1766-1783					119
	Conclusion										121
9. Maria Agnesi (1718-1799): Mathematical Linguist					124
	Early Family Life									124
	Instituzioni analitiche (Analytical Institutions)					126
	Reactions to the Book									128
	¿The Witch of Agnesi¿								130
	Second Career after Mathematics							131
	Conclusion										133
10. Benjamin Banneker (1731-1806): Early African-American Scientist		136
	Tobacco Farmer									136
	Wooden Clock									137
	Diverse Interests									138
	Astronomer										139
	Surveying the District of Columbia							141
	1792 Almanac										143
	Professional Almanac-Maker								145
	Honors and Memorials								147
	Conclusion										149
Glossary											151
Further Reading										164
Associations											171
Index												172

Library of Congress Subject Headings for this publication:

Mathematicians -- Biography.
Mathematics, Medieval.