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The Origins Of Cauchy's Rigorous C

the innovative methods of Cauchy and his contemporaries in refining existing methods into the basis of rigorous calculus. 1981 edition.;

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The Origins of Cauchy's Rigorous Calculus

mathematics were transformed by Cauchy into the basis of his rigorous calculus (especially the development of the algebra of inequalities: ideas on;

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Calculus and Its Origins

Calculus answers questions that had been explored for centuries before calculus was born. Calculus and Its Origins begins with these;

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Cambridge Library Collection - Mathematics

teach his students the basic theorems of calculus in as rigorous a way as possible. Cauchy was a pioneer of mathematical analysis, a branch;

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Friendly Approach To Complex Analysis, A

The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several;

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Friendly Approach To Complex Analysis, A

The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several;

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Advanced Calculus, An Introduction To Mathematical Analysis

to the construction of rational and then of real numbers, using the method of equivalence classes and of Cauchy sequences. The text includes;

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Differential Equations

and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential;

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Change and Variations

of the calculus of variations from the problems of the catenary and the brachistochrone to attempts at a rigorous theory by Weierstrass, Kneser;

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Methods of the Theory of Generalized Functions

This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and;

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Methods of the Theory of Generalized Functions

This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and;

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The How and Why of One Variable Calculus

in the deep end with a rigorous analysis text. The How and Why of One Variable Calculus closes this gap in providing a rigorous treatment that;

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Advanced Calculus of a Single Variable

of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue;

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Functional Calculi

of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem;

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Cours d'analyse de l'ecole polytechnique

time, it now appears to us a transitional work between the partially rigorous 'epsilon delta' calculus of Cauchy and his successors, and the;

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Introduction To Stochastic Calculus With Applications (3rd Edition)

This book presents a concise and rigorous treatment of stochastic calculus. It also gives its main applications in finance, biology and;

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Differential Analysis

had almost finished, has been edited for publication by Professor J. S. Pym. This text is a treatise on the differential calculus of functions taking;

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Infinitesimal Calculus

Rigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than;

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Advanced Calculus (Revised Edition)

course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1;

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Introduction to Real Analysis

This is a text that develops calculus 'from scratch', with complete rigorous arguments. Its aim is to introduce the reader not only to the;

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Introduction to Real Analysis

This is a text that develops calculus 'from scratch', with complete rigorous arguments. Its aim is to introduce the reader not only to the;

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The Cauchy-Schwarz Master Class

mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose;

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100+1 Problems in Advanced Calculus

the fundamental concepts seen in a first-year Calculus course are covered. Problems touch on topics like inequalities, elementary point-set;

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Cauchy Schwarz Master Class

mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose;

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A Primer of Infinitesimal Analysis

calculus, together with some of its applications to simple physical problems, are presented through the use of a straightforward, rigorous;

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A Course in Calculus and Real Analysis

This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes;

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Differential Calculus

Original, rigorous, and lively, this text offers a concise approach to classical and contemporary topics in differential calculus. Based on;

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