This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's 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.
Mathematical Thought From Ancient to Modern Times
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Morris Kline is at New York University.
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First Sentence:
At the opening of the seventeenth century Galileo still found it necessary to argue with the past. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
periodicity moduli, des sav, symbolical algebra, arithmetical algebra, higher plane curves, hyperelliptic integrals, logarithmic infinities, linear associative algebras, divers savans, given general equation, developable surfaces, substitution groups, complex function theory, fourth degree equation, potential equation, binomial equations, osculating plane, brachistochrone problem, third degree equation, elementary divisors, complete integral, trigonometric series, invariant factors, elliptic functions, initial curve Key Phrases - Capitalized Phrases (CAPs): (learn more)
John Bernoulli, Novi Comm, Daniel Bernoulli, Opera Omnia, Acta Erud, James Bernoulli, Johnson Reprint Corp, James Gregory, Paris Academy, Source Book, Ecole Polytechnique, Georg Olms, Mathematical Papers, Nicholas Bernoulli, Petersburg Academy, Cambridge University Press, Royal Irish Academy, Treatise of Fluxions, Acta Math, Albert Blanchard, Berlin Academy of Sciences, Brook Taylor, David Eugene, Disquisitiones Arithmeticae, Harvard University Press New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
At the opening of the seventeenth century Galileo still found it necessary to argue with the past. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
periodicity moduli, des sav, symbolical algebra, arithmetical algebra, higher plane curves, hyperelliptic integrals, logarithmic infinities, linear associative algebras, divers savans, given general equation, developable surfaces, substitution groups, complex function theory, fourth degree equation, potential equation, binomial equations, osculating plane, brachistochrone problem, third degree equation, elementary divisors, complete integral, trigonometric series, invariant factors, elliptic functions, initial curve Key Phrases - Capitalized Phrases (CAPs): (learn more)
John Bernoulli, Novi Comm, Daniel Bernoulli, Opera Omnia, Acta Erud, James Bernoulli, Johnson Reprint Corp, James Gregory, Paris Academy, Source Book, Ecole Polytechnique, Georg Olms, Mathematical Papers, Nicholas Bernoulli, Petersburg Academy, Cambridge University Press, Royal Irish Academy, Treatise of Fluxions, Acta Math, Albert Blanchard, Berlin Academy of Sciences, Brook Taylor, David Eugene, Disquisitiones Arithmeticae, Harvard University Press New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 44
books:
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100
books
cite this book:
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- A Source Book in Mathematics (Dover Books on Mathematics) by David Eugene Smith on 6 pages
- Disquisitiones Arithmeticae by Carl F. Gauss on 5 pages
- Mathematical Papers of George Green (AMS Chelsea Publishing) by N. M. Ferrers on 4 pages
- Electromagnetic Theory (3 Volumes) (v. 3) by Oliver Heaviside on page 397, and page 404
- A History of Geometrical Methods (Dover Books on Mathematics) by Julian Lowell Coolidge on page 181, and page 404
See all 44 books this book cites
- Mathematically Speaking: A Dictionary of Quotations by C.C. Gaither on 13 pages
- Learn from the Masters (Classroom Resource Materials) by Frank Swetz on 6 pages
- Dictionary of Mathematical Games, Puzzles, and Amusements by Harry Edwin Eiss on 4 pages
- The Pleasures of Counting by T. W. Körner on page 450, Back Matter (1), and Back Matter (2)
- Husserl or Frege?: Meaning, Objectivity, and Mathematics by Claire Ortiz Hill on page 160, page 196, and Back Matter
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