Journal ArticleDOI
The arithmetic of infinitesimals. John Wallis 1656. Translated from the Latin and edited by Jacqueline Stedall. Pp. 192. £92.50/$119.00/€119.50. 2004. ISBN 0 387 20709 0 (Springer-Verlag).
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The main focus of as mentioned in this paper is on the core financial material, and I feel this is as well covered as could be done in the space available, and starting from scratch, and as it is all good material that students should see anyway makes the book worth reading even if one is not specially interested in finance.Abstract:
Quite a lot of the text is unavoidably devoted to providing necessary background in probability, statistics, simulation and numerics. This is nicely done, and as it is all good material that students should see anyway makes the book worth reading even if one is not specially interested in finance. But the main focus is on the core financial material, and I feel this is as well covered as could be done in the space available, and starting from scratch.read more
Citations
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Journal ArticleDOI
Induction before Hume
TL;DR: This chapter presents the remarks about induction that are extracted from the writings of authors who were primarily concerned with other matters and for whom inductive reasoning was a matter of minor importance.
Dissertation
Impossibility results: from geometry to analysis
TL;DR: In this article, the authors discuss the role of conditional impossibility results in early modern geometry, and argue that they played a crucial role in the distinction between geometrical and mechanical curves, and the classification of curves and problems.
Journal ArticleDOI
John Wallis and the French: his quarrels with Fermat, Pascal, Dulaurens, and Descartes
TL;DR: This article examined the mathematical content of the arguments and also Wallis's various strategies of response, showing that Wallis was able to use the confrontations to promote his own reputation and his opinion of French mathematicians became increasingly bitter.
Journal ArticleDOI
Indivisibles, infinitesimals and a tale of seventeenth-century mathematics
TL;DR: Torricelli and Roberval as discussed by the authors used indivisibles to find the volume of Gabriel's trumpet and the area under the cycloid in the 17th-century calculus.
Certain properties of an operator involving the generalized hypergeometric functions
TL;DR: In this paper, based on the generalized derivative operator, two new subclasses of functions are derived by making use of the notion of subordination and some properties of these two subclasses are discussed briefly.
References
More filters
Journal ArticleDOI
Induction before Hume
TL;DR: This chapter presents the remarks about induction that are extracted from the writings of authors who were primarily concerned with other matters and for whom inductive reasoning was a matter of minor importance.
Dissertation
Impossibility results: from geometry to analysis
TL;DR: In this article, the authors discuss the role of conditional impossibility results in early modern geometry, and argue that they played a crucial role in the distinction between geometrical and mechanical curves, and the classification of curves and problems.
Journal ArticleDOI
John Wallis and the French: his quarrels with Fermat, Pascal, Dulaurens, and Descartes
TL;DR: This article examined the mathematical content of the arguments and also Wallis's various strategies of response, showing that Wallis was able to use the confrontations to promote his own reputation and his opinion of French mathematicians became increasingly bitter.
Journal ArticleDOI
Indivisibles, infinitesimals and a tale of seventeenth-century mathematics
TL;DR: Torricelli and Roberval as discussed by the authors used indivisibles to find the volume of Gabriel's trumpet and the area under the cycloid in the 17th-century calculus.
Certain properties of an operator involving the generalized hypergeometric functions
TL;DR: In this paper, based on the generalized derivative operator, two new subclasses of functions are derived by making use of the notion of subordination and some properties of these two subclasses are discussed briefly.