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" Real analysis : "
Saul Stahl.
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BL
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| Record Number
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995805
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| Doc. No
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b750175
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| Main Entry
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Stahl, Saul.
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| Title & Author
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Real analysis : : a historical approach /\ Saul Stahl.
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| Publication Statement
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New York :: J. Wiley,, ©1999.
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| Page. NO
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xiii, 269 pages :: illustrations ;; 24 cm
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| ISBN
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0471318523
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: 9780471318521
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| Notes
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"A Wiley-Interscience publication."
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| Bibliographies/Indexes
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Includes bibliographical references (pages 264-266) and index.
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| Contents
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1. Archimedes and the parabola -- 2. Fermat, differentiation, and integration -- 3. Newton's calculus (part 1) -- 4. Newton's calculus (part 2) -- 5. Euler -- 6. Real numbers -- 7. Sequences and their limits -- 8. Cauchy property -- 9. Convergence of infinite series -- 10. Series of functions -- 11. Continuity -- 12. Differentiability -- 13. Uniform vonvergence -- 14. Vindication.
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| Abstract
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"The book begins with sampling of classic and famous problems first posed by some of the greatest mathematicians of all time, Archimedes, Fermat, Newton, and Euler are each summoned in turn - illuminating the utility of infinite, power, and trigonometric series in both pure and applied mathematics. Next, Dr. Stahl develops the basic tools of advanced calculus, introducing the various aspects of the completeness of the real number system, sequential continuity and differentiability, as well as uniform convergence. Finally, he presents applications and examples to reinforce concepts and demonstrate the validity of many of the historical methods and results."--Jacket.
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| Subject
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Functions of real variables.
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Mathematical analysis.
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Analyse mathématique.
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Fonctions de variables réelles.
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Functions of real variables.
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Geschichte
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Mathematical analysis.
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Reelle Analysis
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Geschichte.
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Reelle Analysis.
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| Dewey Classification
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515
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| LC Classification
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QA300.S882 1999
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| NLM classification
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SG 590rvk
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