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Beschreibung
This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images.
At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from the nineteenth century as a legacy for the twentieth century).
In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you will now see, many remarkable results have been discovered).
At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from the nineteenth century as a legacy for the twentieth century).
In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you will now see, many remarkable results have been discovered).
This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images.
At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from the nineteenth century as a legacy for the twentieth century).
In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you will now see, many remarkable results have been discovered).
At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from the nineteenth century as a legacy for the twentieth century).
In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you will now see, many remarkable results have been discovered).
Über den Autor
Vladimir Arnold was one of the great mathematical
scientists of our time. He is famous for both the breadth and the depth of
his work. At the same time he is one of the most prolific and outstanding
mathematical authors.
scientists of our time. He is famous for both the breadth and the depth of
his work. At the same time he is one of the most prolific and outstanding
mathematical authors.
Zusammenfassung
Written by one of the most eminent mathematicians of the 20th and 21st centuries
Masterful exposition
Lecture courses do not get better than this
Includes supplementary material: [...]
Inhaltsverzeichnis
Publisher's Foreword.- Editors' Foreword.- Introduction.- 2 Geometry of Conic Sections.- 3 The Physics of Conic Sections and Ellipsoids.- 4 Projective Geometry.- 5 Complex Algebraic Curves.- 6 A Problem for School Pupils.- A Into How Many Parts do n Lines Divide the Plane?- Editors' Comments on Gudkov's Conjecture.- Notes
Details
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | UNITEXT |
| Inhalt: |
ix
100 S. 126 s/w Illustr. 100 p. 126 illus. |
| ISBN-13: | 9783642362422 |
| ISBN-10: | 3642362427 |
| Sprache: | Englisch |
| Herstellernummer: | 12990894 |
| Einband: | Kartoniert / Broschiert |
| Autor: | Arnold, Vladimir I. |
| Redaktion: |
Itenberg, Ilia
Kharlamov, Viatcheslav Shustin, Eugenii I. |
| Herausgeber: | Ilia Itenberg/Viatcheslav Kharlamov/Eugenii I Shustin |
| Übersetzung: | Gould, Gerald G. |
| Hersteller: |
Springer
Springer-Verlag GmbH UNITEXT |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 7 mm |
| Von/Mit: | Vladimir I. Arnold |
| Erscheinungsdatum: | 03.05.2013 |
| Gewicht: | 0,195 kg |