Analysis by its history
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 differential equations. The establishment of mathematical rig...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| 格式: | Livre numérique |
| 語言: | Anglais |
| 出版: |
New York, NY :
Springer New York : Imprint: Springer
[20..].
Cham : Springer Nature |
| 叢編: | Undergraduate Texts in Mathematics, Readings in Mathematics
Undergraduate Texts in Mathematics |
| 主題: | |
| 在線閱讀: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Analysis by its history, E. Hairer, G. Wanner, 1996, New York [etc.], Springer, 1 vol. (X-377 p.), Undergraduate texts in mathematics, 978-0-387-77031-4 |
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| 020 | |a 9780387770369 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.8 | ||
| 084 | |a 26-03. 1991 | ||
| 084 | |a 01-01. 1991 | ||
| 100 | 1 | |a Hairer, Ernst, |d 1949-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Analysis by its history |c E. Hairer, G. Wanner. |
| 260 | |a New York, NY : |b Springer New York : |b Imprint: Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Undergraduate Texts in Mathematics, Readings in Mathematics |x 2197-5604 | |
| 490 | 0 | |a Undergraduate Texts in Mathematics |x 2197-5604 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 0 | |a to Analysis of the Infinite -- Differential and Integral Calculus -- Foundations of Classical Analysis -- Calculus in Several Variables | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 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. From the reviews: The aim of this interesting new contribution to the series Readings in Mathematics is an attempt to restore the historical order in the presentation of basic mathematical analysis...such a historical approach can provide a very fruitful and interesting approach to mathematical analysis. - Jean Mawhin, Zentralblatt The authors include a large number of once-traditional subjects which have now vanished from the analysis curriculum, at least in the standard American courses. Thus we find continued fractions, elliptic integrals, the Euler-MacLaurin summation formula, etc., most of which are found only in more compendious works. Many of the exercises are inspired by original papers, with the bibliographic references sometimes given. The work is very well illustrated. The book is definitely an analysis text, rather than a history, but a great deal of reliable historical material is included. For those seeking an alternative to the traditional approach, it seems to me to be of great interest. - Thomas Archibald, Mathematical Reviews The authors...have assembled an impressive array of annotated results, quotations, tables, charts, figures and drawings, many copied from original documents....they write with great enthusiasm and with evident affection for both analysis and history. - John Troutman, American Mathematical Monthly | ||
| 650 | |a Calcul différentiel | ||
| 650 | |a Calcul intégral | ||
| 650 | |a Intégrale de Riemann | ||
| 650 | |a Fonctions continues | ||
| 650 | |a Intégrales multiples | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Analyse mathématique |x Fondements | ||
| 700 | 1 | |a Wanner, Gerhard, |d 1942- |4 aut | |
| 776 | 0 | |0 004432673 |t Analysis by its history |f E. Hairer, G. Wanner |d 1996 |c New York [etc.] |n Springer |p 1 vol. (X-377 p.) |s Undergraduate texts in mathematics |z 978-0-387-77031-4 | |
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