Fundamentals of Linear Systems for Physical Scientists and Engineers
Autor N.N. Purien Limba Engleză Hardback – oct 2009
The book draws from diverse areas of engineering and the physical sciences to cover the fundamentals of linear systems. Assuming no prior knowledge of complex mathematics on the part of the reader, the author uses his nearly 50 years of teaching experience to address all of the necessary mathematical techniques. Original proofs, hundreds of examples, and proven theorems illustrate and clarify the material. An extensive table provides Lyapunov functions for differential equations and conditions of stability for the equilibrium solutions. In an intuitive, step-by-step manner, the book covers a breadth of highly relevant topics in linear systems theory from the introductory level to a more advanced level. The chapter on stochastic processes makes it invaluable for financial engineering applications.
Reflecting the pressures in engineering education to provide compact yet comprehensive courses of instruction, this book presents essential linear system theoretic concepts from first principles to relatively advanced, yet general, topics. The book’s self-contained nature and the coverage of both linear continuous- and discrete-time systems set it apart from other texts.
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Specificații
ISBN-13: 9781439811573
ISBN-10: 1439811571
Pagini: 904
Ilustrații: 202 b/w images, 16 color images, 14 tables and 1500-1700 equations
Dimensiuni: 178 x 254 x 46 mm
Greutate: 1.75 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
ISBN-10: 1439811571
Pagini: 904
Ilustrații: 202 b/w images, 16 color images, 14 tables and 1500-1700 equations
Dimensiuni: 178 x 254 x 46 mm
Greutate: 1.75 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Public țintă
Senior undergraduate and graduate students in electrical and computer engineering; research scientists in physical systems.Cuprins
Fundamental System Concepts and Basic Ideas. Linear Vector Spaces and Matrix Algebra. Ordinary Differential and Difference Equations. Complex Variables and Transform Method. Integral Transform Methods. State Space Description of Dynamic Systems. Digital Systems, Z-Transforms, and Applications. Calculus of Variations. Linear Systems Response to Stochastic Inputs.
Notă biografică
N.N. Puri is Professor of Electrical and Computer Engineering at Rutgers University, New Jersey.
Descriere
The advent of inexpensive computing allows engineers to analyze, compute, and develop results that were unthinkable in the past. This book draws from diverse areas of engineering and the physical sciences to cover the fundamentals of linear systems. Assuming no prior knowledge of complex mathematics, the author uses his nearly 40 years of experience to address all of the necessary mathematical techniques. Original proofs, hundreds of examples, and theorems that have been proven from the student’s point of view illustrate and clarify the material. An extensive table provides Lyapunov functions for differential equations and conditions of stability for the equilibrium solutions.