Mathematical Thought From Ancient to Modern Times, Volume 2, Volum 2

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Oxford University Press, 1 de març 1990 - 480 pàgines
This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.
 

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Mathematics as of 1700
Introduction 400 2 The Function Concept 403 3 The Technique
Ordinary Differential Equations in the Eighteenth Century
Partial Differential Equations in the Eighteenth Century
Introduction 502 2 The Wave Equation 503 3 Extensions of the Wave
x
The Calculus of Variations in the Eighteenth Century
xciv
Functions of a Complex Variable
cxxvii
Partial Differential Equations in the Nineteenth Century
clxxxix
Introduction 709 2 Series Solutions and Special Functions 709 3 Sturm
ccxx
Mathematical Extensions of the Calculus of Variations Proper 745 4 Related
ccxxxviii
Quaternions Vectors and Linear Associative Algebras
cclviii
Determinants and Matrices
xi
Index
xxvii
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