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Uncertain Differential Equations: Springer Uncertainty Research

Autor Kai Yao
en Limba Engleză Hardback – 6 sep 2016
This book introduces readers to the basic concepts of and latest findings in the area of differential equations with uncertain factors. It covers the analytic method and numerical method for solving uncertain differential equations, as well as their applications in the field of finance. Furthermore, the book provides a number of new potential research directions for uncertain differential equation. It will be of interest to researchers, engineers and students in the fields of mathematics, information science, operations research, industrial engineering, computer science, artificial intelligence, automation, economics, and management science.
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Specificații

ISBN-13: 9783662527276
ISBN-10: 3662527278
Pagini: 300
Ilustrații: XIII, 158 p.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.42 kg
Ediția:1st ed. 2016
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Uncertainty Research

Locul publicării:Berlin, Heidelberg, Germany

Cuprins

Introduction.- Uncertain Variable.- Uncertain Process.- Contour Process.- Uncertain Calculus.- Uncertain Differential Equation.- Uncertain Calculus with Renewal Process.- Uncertain Differential Equation with Jumps.- Multi-Dimensional Uncertain Differential Equation.- High-Order Uncertain Differential Equation.

Recenzii

“The book under review is the first textbook on this topic. … The book is well organized and endowed with many illustrative examples. It is suitable for mathematicians interested in the finance theory.” (Andrzej Nowak, zbMATH 1378.60009, 2018)

Textul de pe ultima copertă

This book introduces readers to the basic concepts of and latest findings in the area of differential equations with uncertain factors. It covers the analytic method and numerical method for solving uncertain differential equations, as well as their applications in the field of finance. Furthermore, the book provides a number of new potential research directions for uncertain differential equation. It will be of interest to researchers, engineers and students in the fields of mathematics, information science, operations research, industrial engineering, computer science, artificial intelligence, automation, economics, and management science.

Caracteristici

The first book available on uncertain differential equations Covers uncertain differential equation with jumps Covers multi-dimensional uncertain differential equation Covers high-order uncertain differential equation Includes supplementary material: sn.pub/extras