
The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass
Umberto Bottazini(Author)
Springer (Publisher)
Published on 26. September 2011
Book
Paperback/Softback
VIII, 332 pages
978-1-4612-9368-2 (ISBN)
Description
"The true method of foreseeing the future of mathematics is to study its history and its actual state." With these words Henri Poincare began his presentation to the Fourth International Congress of Mathematicians at Rome in 1908. Although Poincare himself never actively pursued the history of mathematics, his remarks have given both historians of mathematics and working mathematicians a valuable methodological guideline, not so much for indulging in improbable prophecies about the future state of mathematics, as for finding in history the origins and moti va tions of contemporary theories, and for finding in the present the most fruitful statements of these theories. At the time Poincare spoke, at the beginning of this century, historical research in the various branches of rna thema tics was emerging with distinctive autonomy. In Germany the last volume of Cantor's monumental Vorlesungell iiber die Gesehiehte der Mathematik had just appeared, and many new specialized journals were appearing to complement those already in existence, from Enestrom's Bibliotheea mathematiea to Loria's Bollettino di bibliogra/ia e di storia delle seienze matematiehe.
The annual Jahresberiehte of the German Mathematical Society included noteworthy papers of a historical nature, as did the Enzyklopadie der mathematisehen Wissenseha/ten, an imposing work constructed according to the plan of Felix Klein.
The annual Jahresberiehte of the German Mathematical Society included noteworthy papers of a historical nature, as did the Enzyklopadie der mathematisehen Wissenseha/ten, an imposing work constructed according to the plan of Felix Klein.
More details
Edition
Softcover reprint of the original 1st ed. 1986
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
VIII, 332 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 19 mm
Weight
522 gr
ISBN-13
978-1-4612-9368-2 (9781461293682)
DOI
10.1007/978-1-4612-4944-3
Schweitzer Classification
Other editions
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Umberto Bottazini
The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass
Book
09/1986
Springer
€160.49
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Persons
Content
1: The Elements of Analysis in the Eighteenth Century.- 2: The Lagrangian Calculus and Fourier Series.- 3: New Trends in Rigor.- 4: Complex Functions and Integration.- 5: The Convergence of Fourier Series.- 6: Riemann's Theory of Functions.- 7: The Arithmetization of Analysis.- Appendix: On the History of "Dirichlet's Principle.