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Analysis by Its History - Ernst Hairer#Gerhard Wanner
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Ernst Hairer#Gerhard Wanner:

Analysis by Its History - neues Buch

ISBN: 9780387945514

ID: 5f3992b4937b4d3a44f54a5c4e6cd4ae

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. . . . 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-387-94551-4, Springer

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Analysis by Its History - Ernst Hairer#Gerhard Wanner
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Ernst Hairer#Gerhard Wanner:

Analysis by Its History - neues Buch

ISBN: 9780387945514

ID: 208522316

. . . 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. 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. Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Analysis by Its History - Ernst Hairer
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Ernst Hairer:
Analysis by Its History - neues Buch

ISBN: 9780387945514

[ED: Buch], [PU: Springer], Neuware - 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. Many quotations are included to give the flavor of the history. 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., [SC: 0.00], Neuware, gewerbliches Angebot, 23.5x15.5x cm, [GW: 1610g]

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Analysis by Its History
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Analysis by Its History - neues Buch

ISBN: 9780387945514

ID: 9780387945514

This book presents first-year calculus roughly in the order in which it first was discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to... Book, [PU: Springer]

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Analysis by Its History - Wanner, Gerhard, Dr., and Hairer, Ernst
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2000, ISBN: 9780387945514

ID: 13347799645

Hard cover, New., Sewn binding. Cloth over boards. 379 p. Contains: Illustrations, black & white. Undergraduate Texts in Mathematics., New York, NY, [PU: Springer]

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Analysis by Its History
Autor:

Hairer, Ernst; Wanner, Gerhard

Titel:

Analysis by Its History

ISBN-Nummer:

0387945512

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. Many quotations are included to give the flavor of the history. 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.

Detailangaben zum Buch - Analysis by Its History


EAN (ISBN-13): 9780387945514
ISBN (ISBN-10): 0387945512
Gebundene Ausgabe
Erscheinungsjahr: 1995
Herausgeber: Springer-Verlag GmbH
377 Seiten
Gewicht: 0,754 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 29.05.2007 04:16:50
Buch zuletzt gefunden am 10.11.2016 19:39:39
ISBN/EAN: 0387945512

ISBN - alternative Schreibweisen:
0-387-94551-2, 978-0-387-94551-4

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