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Synopsis
This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers. The authors have published other successful titles with Springer.
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Présentation de l'éditeur
This book presents first-year calculus roughly in the order in which it was first discovered. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading.
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Analysis by Its History
Edité par
Springer New York, 2008
ISBN 10 : 0387770313
ISBN 13 : 9780387770314
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Analysis by Its History.
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Etat : Akzeptabel. Formateinband: Paperback / kartonierte Ausgabe X, 377 S. (24 cm) 1st Edition; Buch an einer Kante lagerbogig; sonst sehr gut und sauber erhalten. Sprache: Englisch Gewicht in Gramm: 700 [Stichwörter: ]. N° de réf. du vendeur 73621
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Analysis by Its History (Undergraduate Texts in Mathematics)
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Springer June 2008, 2008
ISBN 10 : 0387770313
ISBN 13 : 9780387770314
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Trade Paperback. Etat : Used Very Good. Pages clean, binding intact, cover has light wear. Firefly sells new and used books through our store front. We try to add a detailed description to as many titles as possible. If you have questions regarding this title, please contact us. Photos available on request. N° de réf. du vendeur 181309
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Analysis by Its History
Edité par
Springer, 2008
ISBN 10 : 0387770313
ISBN 13 : 9780387770314
Ancien ou d'occasion
Couverture souple
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Analysis by Its History (Undergraduate Texts in Mathematics)
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Analysis by Its History
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Analysis by Its History (Paperback)
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Springer-Verlag New York Inc., New York, NY, 2008
ISBN 10 : 0387770313
ISBN 13 : 9780387770314
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Paperback. Etat : new. Paperback. . . . that departed from the traditional dry-as-dust mathematics textbook. (M. Kline, from the Preface to the paperback edition of Kline 1972) Also for this reason, I have taken the trouble to make a great number of drawings. (Brieskom & Knorrer, Plane algebraic curves, p. ii) . . . I should like to bring up again for emphasis . . . points, in which my exposition differs especially from the customary presentation in the text books: 1. Illustration of abstract considerations by means of figures. 2. Emphasis upon its relation to neighboring fields, such as calculus of dif ferences and interpolation . . . 3. Emphasis upon historical growth. It seems to me extremely important that precisely the prospective teacher should take account of all of these. (F. Klein 1908, Eng\. ed. p. 236) Traditionally, a rigorous first course in Analysis progresses (more or less) in the following order: limits, sets, '* continuous '* derivatives '* integration. mappings functions On the other hand, the historical development of these subjects occurred in reverse order: Archimedes Cantor 1875 Cauchy 1821 Newton 1665 . ;::: Kepler 1615 Dedekind . ;::: Weierstrass . ;::: Leibniz 1675 Fermat 1638 In this book, with the four chapters Chapter I. Introduction to Analysis of the Infinite Chapter II. Differential and Integral Calculus Chapter III. Foundations of Classical Analysis Chapter IV. Calculus in Several Variables, we attempt to restore the historical order, and begin in Chapter I with Cardano, Descartes, Newton, and Euler's famous Introductio. . Emphasis upon its relation to neighboring fields, such as calculus of dif ferences and interpolation . mappings functions On the other hand, the historical development of these subjects occurred in reverse order: Archimedes Cantor 1875 Cauchy 1821 Newton 1665 . ;::: Kepler 1615 Dedekind . ;::: Weierstrass . Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780387770314
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Analysis by Its History (Undergraduate Texts in Mathematics)
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Analysis by Its History
Edité par
Springer, 2008
ISBN 10 : 0387770313
ISBN 13 : 9780387770314
Ancien ou d'occasion
Couverture souple
Vendeur : Anybook.com, Lincoln, Royaume-Uni
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Etat : Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,650grams, ISBN:9780387770314. N° de réf. du vendeur 4146262
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Analysis by Its History (Undergraduate Texts in Mathematics)
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