Stochastic Differential Equations: An Introduction with Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998
|
| Ausgabe: | Fifth Edition |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The main new feature of the fifth edition is the addition of a new chapter, Chapter 12, on applications to mathematical finance. I found it natural to include this material as another major application of stochastic analysis, in view of the amazing development in this field during the last 10-20 years. Moreover, the close contact between the theoretical achievements and the applications in this area is striking. For example, today very few firms (if any) trade with options without consulting the Black & Scholes formula! The first 11 chapters of the book are not much changed from the previous edition, but I have continued my efforts to improve the presentation through out and correct errors and misprints. Some new exercises have been added. Moreover, to facilitate the use of the book each chapter has been divided into subsections. If one doesn't want (or doesn't have time) to cover all the chapters, then one can compose a course by choosing subsections from the chapters. The chart below indicates what material depends on which sections. Chapter 6 Chapter IO Chapter 12 For example, to cover the first two sections of the new chapter 12 it is recom mended that one (at least) covers Chapters 1-5, Chapter 7 and Section 8.6. VIII Chapter 10, and hence Section 9.1, are necessary additional background for Section 12.3, in particular for the subsection on American options |
| Beschreibung: | 1 Online-Ressource (XIX, 324 p) |
| ISBN: | 9783662036204 9783540637202 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-662-03620-4 |
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| 500 | |a The main new feature of the fifth edition is the addition of a new chapter, Chapter 12, on applications to mathematical finance. I found it natural to include this material as another major application of stochastic analysis, in view of the amazing development in this field during the last 10-20 years. Moreover, the close contact between the theoretical achievements and the applications in this area is striking. For example, today very few firms (if any) trade with options without consulting the Black & Scholes formula! The first 11 chapters of the book are not much changed from the previous edition, but I have continued my efforts to improve the presentation through out and correct errors and misprints. Some new exercises have been added. Moreover, to facilitate the use of the book each chapter has been divided into subsections. If one doesn't want (or doesn't have time) to cover all the chapters, then one can compose a course by choosing subsections from the chapters. The chart below indicates what material depends on which sections. Chapter 6 Chapter IO Chapter 12 For example, to cover the first two sections of the new chapter 12 it is recom mended that one (at least) covers Chapters 1-5, Chapter 7 and Section 8.6. VIII Chapter 10, and hence Section 9.1, are necessary additional background for Section 12.3, in particular for the subsection on American options | ||
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-03620-4 |
| edition | Fifth Edition |
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| institution | BVB |
| isbn | 9783662036204 9783540637202 |
| issn | 0172-5939 |
| language | English |
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| spelling | Øksendal, Bernt Verfasser aut Stochastic Differential Equations An Introduction with Applications by Bernt Øksendal Fifth Edition Berlin, Heidelberg Springer Berlin Heidelberg 1998 1 Online-Ressource (XIX, 324 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 The main new feature of the fifth edition is the addition of a new chapter, Chapter 12, on applications to mathematical finance. I found it natural to include this material as another major application of stochastic analysis, in view of the amazing development in this field during the last 10-20 years. Moreover, the close contact between the theoretical achievements and the applications in this area is striking. For example, today very few firms (if any) trade with options without consulting the Black & Scholes formula! The first 11 chapters of the book are not much changed from the previous edition, but I have continued my efforts to improve the presentation through out and correct errors and misprints. Some new exercises have been added. Moreover, to facilitate the use of the book each chapter has been divided into subsections. If one doesn't want (or doesn't have time) to cover all the chapters, then one can compose a course by choosing subsections from the chapters. The chart below indicates what material depends on which sections. Chapter 6 Chapter IO Chapter 12 For example, to cover the first two sections of the new chapter 12 it is recom mended that one (at least) covers Chapters 1-5, Chapter 7 and Section 8.6. VIII Chapter 10, and hence Section 9.1, are necessary additional background for Section 12.3, in particular for the subsection on American options Mathematics Differential equations, partial Systems theory Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Partial Differential Equations Theoretical, Mathematical and Computational Physics Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf Stochastische Differentialgleichung (DE-588)4057621-8 s 1\p DE-604 https://doi.org/10.1007/978-3-662-03620-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Øksendal, Bernt Stochastic Differential Equations An Introduction with Applications Mathematics Differential equations, partial Systems theory Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Partial Differential Equations Theoretical, Mathematical and Computational Physics Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Stochastische Differentialgleichung (DE-588)4057621-8 gnd |
| subject_GND | (DE-588)4057621-8 |
| title | Stochastic Differential Equations An Introduction with Applications |
| title_auth | Stochastic Differential Equations An Introduction with Applications |
| title_exact_search | Stochastic Differential Equations An Introduction with Applications |
| title_full | Stochastic Differential Equations An Introduction with Applications by Bernt Øksendal |
| title_fullStr | Stochastic Differential Equations An Introduction with Applications by Bernt Øksendal |
| title_full_unstemmed | Stochastic Differential Equations An Introduction with Applications by Bernt Øksendal |
| title_short | Stochastic Differential Equations |
| title_sort | stochastic differential equations an introduction with applications |
| title_sub | An Introduction with Applications |
| topic | Mathematics Differential equations, partial Systems theory Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Partial Differential Equations Theoretical, Mathematical and Computational Physics Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Stochastische Differentialgleichung (DE-588)4057621-8 gnd |
| topic_facet | Mathematics Differential equations, partial Systems theory Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Partial Differential Equations Theoretical, Mathematical and Computational Physics Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Stochastische Differentialgleichung |
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