From Elementary Probability to Stochastic Differential Equations with MAPLE�
Measure and integration wereonceconsidered,especially by many of the more practically inclined, to be an esoteric area ofabstract mathematics best left to pure mathematicians. However,it has become increasingly obvious in recent years that this area is now an indispensable, even unavoidable, language and provides a fundamental methodology for modern probability theory, shas­ tic analysis and their applications, especially in financial mathematics. Our aim in writing this book is to provide a smooth and fast introduction to the language and basic results ofmodern probability theory and shastic differential equations with help of the computer manipulator software package MAPLE. It is intended for advanced undergraduate students or graduates, not necessarily in mathematics, to provide an overviewand intuitive background for more advanced studies as wellas somepractical skillsin the use of MAPLE software in the context of probability and its applications. This book is not a conventional mathematics book. Like such books it provides precise definitions and mathematical statements, particularly those based on measure and integration theory, but instead ofmathematical proofs it uses numerous MAPLE experiments and examples to help the reader un­ derstand intuitively the ideas under discussion. The pace increases from ex­ tensive and detailed explanations in the first chapters to a more advanced presentation in the latter part of the book. The MAPLE is handled in a sim­ ilar way, at first with simple commands, then some simple procedures are gardually developed and, finally, the shastic package is introduced.
1129867525
From Elementary Probability to Stochastic Differential Equations with MAPLE�
Measure and integration wereonceconsidered,especially by many of the more practically inclined, to be an esoteric area ofabstract mathematics best left to pure mathematicians. However,it has become increasingly obvious in recent years that this area is now an indispensable, even unavoidable, language and provides a fundamental methodology for modern probability theory, shas­ tic analysis and their applications, especially in financial mathematics. Our aim in writing this book is to provide a smooth and fast introduction to the language and basic results ofmodern probability theory and shastic differential equations with help of the computer manipulator software package MAPLE. It is intended for advanced undergraduate students or graduates, not necessarily in mathematics, to provide an overviewand intuitive background for more advanced studies as wellas somepractical skillsin the use of MAPLE software in the context of probability and its applications. This book is not a conventional mathematics book. Like such books it provides precise definitions and mathematical statements, particularly those based on measure and integration theory, but instead ofmathematical proofs it uses numerous MAPLE experiments and examples to help the reader un­ derstand intuitively the ideas under discussion. The pace increases from ex­ tensive and detailed explanations in the first chapters to a more advanced presentation in the latter part of the book. The MAPLE is handled in a sim­ ilar way, at first with simple commands, then some simple procedures are gardually developed and, finally, the shastic package is introduced.
54.99 In Stock
From Elementary Probability to Stochastic Differential Equations with MAPLE�

From Elementary Probability to Stochastic Differential Equations with MAPLE�

From Elementary Probability to Stochastic Differential Equations with MAPLE�

From Elementary Probability to Stochastic Differential Equations with MAPLE�

Paperback(Softcover reprint of the original 1st ed. 2002)

$54.99 
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Overview

Measure and integration wereonceconsidered,especially by many of the more practically inclined, to be an esoteric area ofabstract mathematics best left to pure mathematicians. However,it has become increasingly obvious in recent years that this area is now an indispensable, even unavoidable, language and provides a fundamental methodology for modern probability theory, shas­ tic analysis and their applications, especially in financial mathematics. Our aim in writing this book is to provide a smooth and fast introduction to the language and basic results ofmodern probability theory and shastic differential equations with help of the computer manipulator software package MAPLE. It is intended for advanced undergraduate students or graduates, not necessarily in mathematics, to provide an overviewand intuitive background for more advanced studies as wellas somepractical skillsin the use of MAPLE software in the context of probability and its applications. This book is not a conventional mathematics book. Like such books it provides precise definitions and mathematical statements, particularly those based on measure and integration theory, but instead ofmathematical proofs it uses numerous MAPLE experiments and examples to help the reader un­ derstand intuitively the ideas under discussion. The pace increases from ex­ tensive and detailed explanations in the first chapters to a more advanced presentation in the latter part of the book. The MAPLE is handled in a sim­ ilar way, at first with simple commands, then some simple procedures are gardually developed and, finally, the shastic package is introduced.

Product Details

ISBN-13: 9783540426660
Publisher: Springer Berlin Heidelberg
Publication date: 12/06/2001
Series: Universitext
Edition description: Softcover reprint of the original 1st ed. 2002
Pages: 310
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1 Probability Basics.- 2 Measure and Integral.- 3 Random Variables and Distributions.- 4 Parameters of Probability Distributions.- 5 A Tour of Important Distributions.- 6 Numerical Simulations and Statistical Inference.- 7 Shastic Processes.- 8 Shastic Calculus.- 9 Shastic Differential Equations.- 10 Numerical Methods for SDEs.- Bibliographical Notes.- References.
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