An Introduction to the Theory of Elasticity

Автор: Chou, Pei Chi
Название: Elasticity: Tensor, Dyadic, and Engineering Approaches
ISBN: 0486669580 ISBN-13(EAN): 9780486669588
Издательство: Dover
Рейтинг:
Цена: 14020.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written for advanced undergraduates and beginning graduate students, this exceptionally clear text treats both the engineering and mathematical aspects of elasticity. It is especially useful because it offers the theory of linear elasticity from three standpoints: engineering, Cartesian tensor, and vector-dyadic. In this way the student receives a more complete picture and a more thorough understanding of engineering elasticity. Prerequisites are a working knowledge of statics and strength of materials plus calculus and vector analysis.
The first part of the book treats the theory of elasticity by the most elementary approach, emphasizing physical significance and using engineering notations. It gives engineering students a clear, basic understanding of linear elasticity. The latter part of the text, after Cartesian tensor and dyadic notations are introduced, gives a more general treatment of elasticity. Most of the equations of the earlier chapters are repeated in Cartesian tensor notation and again in vector-dyadic notation. By having access to this threefold approach in one book, beginning students will benefit from cross-referencing, which makes the learning process easier.
Another helpful feature of this text is the charts and tables showing the logical relationships among the equations -- especially useful in elasticity, where the mathematical chain from definition and concept to application is often long. Understanding of the theory is further reinforced by extensive problems at the end of each chapter.

Автор: Cinlar, Erhan
Название: Introduction to Stochastic Processes
ISBN: 0486497976 ISBN-13(EAN): 9780486497976
Издательство: Dover
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Цена: 28950.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. The text emphasizes the modern viewpoint, in which the primary concern is the behavior of sample paths. By employing matrix algebra and recursive methods, rather than transform methods, it provides techniques readily adaptable to computing with machines.
Topics include probability spaces and random variables, expectations and independence, Bernoulli processes and sums of independent random variables, Poisson processes, Markov chains and processes, and renewal theory. Assuming some background in calculus but none in measure theory, the complete, detailed, and well-written treatment is suitable for engineering students in applied mathematics and operations research courses as well as those in a wide variety of other scientific fields. Many numerical examples, worked out in detail, appear throughout the text, in addition to numerous end-of-chapter exercises and answers to selected exercises.