Stochastic Differential Equations: An Introduction with Applications (Universitext) - Softcover

Oksendal, Bernt

Softcover

ISBN 10: 3540047581 ISBN 13: 9783540047582

Verlag: Springer, 2010

Inhaltsangabe

THIS BOOK GIVES AN INTRODUCTION TO THE BASIC THEORY OF STOCHASTIC CALCULUS AND ITS APPLICATIONS. EXAMPLES ARE GIVEN THROUGHOUT THE TEXT, IN ORDER TO MOTIVATE AND ILLUSTRATE THE THEORY AND SHOW ITS IMPORTANCE FOR MANY APPLICATIONS IN E.G. ECONOMICS, BIOLOGY AND PHYSICS. THE BASIC IDEA OF THE PRESENTATION IS TO START FROM SOME BASIC RESULTS (WITHOUT PROOFS) OF THE EASIER CASES AND DEVELOP THE THEORY FROM THERE, AND TO CONCENTRATE ON THE PROOFS OF THE EASIER CASE (WHICH NEVERTHELESS ARE OFTEN SUFFICIENTLY GENERAL FOR MANY PURPOSES) IN ORDER TO BE ABLE TO REACH QUICKLY THE PARTS OF THE THEORY WHICH IS MOST IMPORTANT FOR THE APPLICATIONS. FOR THE 6TH EDITION THE AUTHOR HAS ADDED FURTHER EXERCISES AND, FOR THE FIRST TIME, SOLUTIONS TO MANY OF THE EXERCISES ARE PROVIDED. THIS CORRECTED 6TH PRINTING OF THE 6TH EDITION CONTAINS ADDITIONAL CORRECTIONS AND USEFUL IMPROVEMENTS, BASED IN PART ON HELPFUL COMMENTS FROM THE READERS.

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Críticas

From the reviews of the fifth edition:

"This is a highly readable and refreshingly rigorous introduction to stochastic calculus. ... This is not a watered-down treatment. It is a serious introduction that starts with fundamental measure-theoretic concepts and ends, coincidentally, with the Black-Scholes formula as one of several examples of applications. This is the best single resource for learning the stochastic calculus ... ." (riskbook.com, 2002)

From the reviews of the sixth edition:

"The book ... has evolved from a 200-page typewritten booklet to a modern classic. Part of its charm and success is the fact that the author does not bother too much with the (for the novice) cumbersome rigorous theory ... . This does not mean that the book is not rigorous, it is just the timing and dosage of mathematical rigour ... that is palatable for undergraduates ... . a highly readable account, suitable for self-study and for use in the classroom." (René L. Schilling, The Mathematical Gazette, March, 2005)

"This is the sixth edition of the classical and excellent book on stochastic differential equations. The main difference with the next to last edition is the addition of detailed solutions of selected exercises ... . This is certainly an excellent idea in view to test its ability of applications of the concepts ... . certainly one of the best books on the subject, it will be very helpful to any graduate students and also very valuable for any analysts of financial market." (Stéphane Métens, Physicalia, Vol. 26 (1), 2004)

"This is now the sixth edition of the excellent book on stochastic differential equations and related topics. ... the presentation is successfully balanced between being easily accessible for a broad audience and being mathematically rigorous. The book is a first choice for courses at graduate level in applied stochastic differential equations. The inclusion of detailed solutions to many of the exercises in this edition also makes it very useful for self-study." (Evelyn Buckwar, Zentralblatt MATH, Vol. 1025, 2003)

Reseña del editor

This edition contains detailed solutions of selected exercises. Many readers have requested this, because it makes the book more suitable for self-study. At the same time new exercises (without solutions) have beed added. They have all been placed in the end of each chapter, in order to facilitate the use of this edition together with previous ones. Several errors have been corrected and formulations have been improved. This has been made possible by the valuable comments from (in alphabetical order) Jon Bohlin, Mark Davis, Helge Holden, Patrick Jaillet, Chen Jing, Natalia Koroleva,MarioLefebvre,Alexander Matasov,Thilo Meyer-Brandis, Keigo Osawa, Bjørn Thunestvedt, Jan Ubøe and Yngve Williassen. I thank them all for helping to improve the book. My thanks also go to Dina Haraldsson, who once again has performed the typing and drawn the ?gures with great skill. Blindern, September 2002 Bernt Øksendal xv Preface to Corrected Printing, Fifth Edition The main corrections and improvements in this corrected printing are from Chapter 12. I have bene?tted from useful comments from a number of p- ple, including (in alphabetical order) Fredrik Dahl, Simone Deparis, Ulrich Haussmann, Yaozhong Hu, Marianne Huebner, Carl Peter Kirkebø, Ni- lay Kolev, Takashi Kumagai, Shlomo Levental, Geir Magnussen, Anders Øksendal, Jur ¨ gen Pottho?, Colin Rowat, Stig Sandnes, Lones Smith, S- suo Taniguchi and Bjørn Thunestvedt. I want to thank them all for helping me making the book better. I also want to thank Dina Haraldsson for pro?cient typing.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2010
• ISBN 10: 3540047581
• ISBN 13: 9783540047582
• Einband: Tapa blanda
• Sprache: Englisch
• Auflage: 5
• Anzahl der Seiten: 412