Introduction to Calculus and Classical Analysis
This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This second edition includes corrections as well as some additional material. Some featur...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
New York, NY :
Springer New York : Springer e-books
[20..].
Cham : Springer Nature |
| Σειρά: | Undergraduate Texts in Mathematics
|
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
L'impression du document génère 344 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to calculus and classical analysis, Omar Hijab, Second edition, 2007, [New York], Springer, 1 volume (X-337 pages), Undergraduate texts in mathematics, 978-0-387-69315-6 |
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| 041 | 0 | |a eng | |
| 082 | |a 515 | ||
| 084 | |a 26-01. 2010 | ||
| 100 | 1 | |a Hijab, Omar. | |
| 245 | 1 | 0 | |a Introduction to Calculus and Classical Analysis |c Omar Hijab. |
| 260 | |a New York, NY : |b Springer New York : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Undergraduate Texts in Mathematics | |
| 500 | |a L'impression du document génère 344 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a The Set of Real Numbers Continuity Differentiation Integration Applications | |
| 506 | |a Accès en ligne pour les établissements franc ais 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 text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This second edition includes corrections as well as some additional material. Some features of the text: * The text is completely self-contained and starts with the real number axioms; * the integral is defined as the area under the graph, while the area is defined for every subset of the plane; * there is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; * there are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; * traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; * there are 366 problems. About the first edition: This is a very intriguing, decidedly unusual, and very satisfying treatment of calculus and introductory analysis. It's full of quirky little approaches to standard topics that make one wonder over and over again, "Why is it never done like this?" John Allen Paulos, author of Innumeracy and A Mathematician Reads the Newspaper | ||
| 650 | |a Calcul différentiel | ||
| 650 | |a Intégration numérique | ||
| 650 | |a Calcul infinitésimal | ||
| 650 | |a Analyse mathématique | ||
| 776 | 0 | |0 118815946 |t Introduction to calculus and classical analysis |f Omar Hijab |e Second edition |d 2007 |c [New York] |n Springer |p 1 volume (X-337 pages) |s Undergraduate texts in mathematics |z 978-0-387-69315-6 | |
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