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Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps, such as the role of the derivative as the local linear approximation to a map and its role in the change of variables formula for multiple integrals. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books.
Advanced Calculus: A Geometric View is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. It avoids duplicating the material of real analysis. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.
Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps, such as the role of the derivative as the local linear approximation to a map and its role in the change of variables formula for multiple integrals. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books.
Advanced Calculus: A Geometric View is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. It avoids duplicating the material of real analysis. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 526 |
| Inhalt: |
xvi
526 S. |
| ISBN-13: | 9781441973313 |
| ISBN-10: | 1441973311 |
| Sprache: | Englisch |
| Herstellernummer: | 12767151 |
| Einband: | Gebunden |
| Autor: | Callahan, James J. |
| Hersteller: |
Springer US
Springer-Verlag New York Inc. |
| Maße: | 262 x 187 x 38 mm |
| Von/Mit: | James J. Callahan |
| Erscheinungsdatum: | 17.09.2010 |
| Gewicht: | 1,159 kg |
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 526 |
| Inhalt: |
xvi
526 S. |
| ISBN-13: | 9781441973313 |
| ISBN-10: | 1441973311 |
| Sprache: | Englisch |
| Herstellernummer: | 12767151 |
| Einband: | Gebunden |
| Autor: | Callahan, James J. |
| Hersteller: |
Springer US
Springer-Verlag New York Inc. |
| Maße: | 262 x 187 x 38 mm |
| Von/Mit: | James J. Callahan |
| Erscheinungsdatum: | 17.09.2010 |
| Gewicht: | 1,159 kg |
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