Описание: This book provides an elementary, accessible introduction to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and efficient methods of constructing solutions or satisfactory approximations. The author motivates the mathematical theory by introducing useful technical or physical examples and presents special remarks for mathematical readers that demonstrate the possibility of generalizing the results obtained. For non-mathematicians, the author provides functional-analytical results without proofs and refers readers to the literature for further details. Numerous exercises complement each chapter.
Автор: Goodwine Название: Engineering Differential Equations ISBN: 1441979182 ISBN-13(EAN): 9781441979186 Издательство: Springer Рейтинг: Цена: 11879 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses. Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs. This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.
Описание: Traditionally, non-quantum physics has been concerned with deterministic equations where the dynamics of the system are completely determined by initial
conditions. A century ago the discovery of Brownian motion showed that nature need not be deterministic. However, it is only recently that there has been broad interest in
nondeterministic and even chaotic systems, not only in physics but in ecology and economics.
On a short term basis, the stock market is nondeterministic and often chaotic.
Despite its significance, there are few books available that introduce the reader to modern ideas in stochastic systems. This book provides an introduction to this increasingly important
field and includes a number of interesting applications.
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