Dekorationsartikel gehören nicht zum Leistungsumfang.
Sprache:
Englisch
126,95 €
-15 % UVP 149,79 €
Versandkostenfrei per Post / DHL
Lieferzeit 1-2 Wochen
Kategorien:
Beschreibung
Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century.
Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth-century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash.
Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.
Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century.
Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth-century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash.
Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.
Zusammenfassung
First book to outline the history of both differential and complex geometry in parallel
Includes quotes and scans from original documents
Considers mathematical knowledge known at the time of the key geometers
Includes supplementary material: [...]
Includes supplementary material: [...]
Inhaltsverzeichnis
Introduction.- Part I. Geometry in the Age of Enlightenment.- Algebraic Geometry.- Differential Geometry.- Part II. Differential and Projective Geometry in the Nineteenth Century.- Projective Geometry.- Gauss and Intrinsic Differential Geometry.- Riemann's Higher-Dimensional Geometry.- Part III. Origins of Complex Geometry.- The Complex Plane.- Elliptic and Abelian Integrals.- Elliptic Functions.- Complex Analysis.- Riemann Surfaces.- Complex Geometry at the End of the Nineteenth Century.- Part IV. Twentieth-Century Embedding Theorems.- Differentiable Manifolds.- Riemannian Manifolds.- Compact Complex Manifolds.- Noncompact Complex Manifolds.
Details
Erscheinungsjahr: | 2017 |
---|---|
Fachbereich: | Geometrie |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Inhalt: |
xiv
319 S. 29 s/w Illustr. 18 farbige Illustr. 319 p. 47 illus. 18 illus. in color. |
ISBN-13: | 9783319581835 |
ISBN-10: | 331958183X |
Sprache: | Englisch |
Herstellernummer: | 978-3-319-58183-5 |
Einband: | Gebunden |
Autor: | Wells, Jr. |
Auflage: | 1st edition 2017 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 241 x 160 x 24 mm |
Von/Mit: | Jr. Wells |
Erscheinungsdatum: | 09.08.2017 |
Gewicht: | 0,67 kg |