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This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.
This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.
Introduces symplectic and contact geometry alongside Riemannian geometry, unlike other texts in differential geometry
Develops tools from linear algebra and advanced calculus, including differential forms and tensors, that are necessary in differential geometry
Introduces the reader to higher mathematics, including proofs of most of the main statements and results
Aimed as a text for undergraduate students who have finished two years of standard mathematics curriculum, including courses in calculus, linear algebra, and differential equations
Includes supplementary material: [...]
| Erscheinungsjahr: | 2015 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Undergraduate Texts in Mathematics |
| Inhalt: |
xiii
410 S. 29 s/w Illustr. 25 farbige Illustr. 410 p. 54 illus. 25 illus. in color. |
| ISBN-13: | 9781489990464 |
| ISBN-10: | 1489990461 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Mcinerney, Andrew |
| Auflage: | Softcover reprint of the original 1st ed. 2013 |
| Hersteller: |
Springer New York
Springer US, New York, N.Y. Undergraduate Texts in Mathematics |
| Maße: | 235 x 155 x 24 mm |
| Von/Mit: | Andrew Mcinerney |
| Erscheinungsdatum: | 05.08.2015 |
| Gewicht: | 0,645 kg |
Introduces symplectic and contact geometry alongside Riemannian geometry, unlike other texts in differential geometry
Develops tools from linear algebra and advanced calculus, including differential forms and tensors, that are necessary in differential geometry
Introduces the reader to higher mathematics, including proofs of most of the main statements and results
Aimed as a text for undergraduate students who have finished two years of standard mathematics curriculum, including courses in calculus, linear algebra, and differential equations
Includes supplementary material: [...]
| Erscheinungsjahr: | 2015 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Undergraduate Texts in Mathematics |
| Inhalt: |
xiii
410 S. 29 s/w Illustr. 25 farbige Illustr. 410 p. 54 illus. 25 illus. in color. |
| ISBN-13: | 9781489990464 |
| ISBN-10: | 1489990461 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Mcinerney, Andrew |
| Auflage: | Softcover reprint of the original 1st ed. 2013 |
| Hersteller: |
Springer New York
Springer US, New York, N.Y. Undergraduate Texts in Mathematics |
| Maße: | 235 x 155 x 24 mm |
| Von/Mit: | Andrew Mcinerney |
| Erscheinungsdatum: | 05.08.2015 |
| Gewicht: | 0,645 kg |
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