Applied Functional Analysis (Applications of Mathematics; V. 3)

Science & Math

Balakrishnan, A. V.

Mathematics

Springer

In preparing the second edition, I have taken advantage of the opportunity to correct errors as well as revise the presentation in many places. New material has been included, in addition, reflecting relevant recent work. The help of many colleagues (and especially Professor J. Stoer) in ferreting out errors is gratefully acknowledged. I also owe special thanks to Professor v. Sazonov for many discussions on the white noise theory in Chapter 6. February, 1981 A. V. BALAKRISHNAN v Preface to the First Edition The title "Applied Functional Analysis" is intended to be short for "Functional analysis in a Hilbert space and certain of its applications," the applications being drawn mostly from areas variously referred to as system optimization or control systems or systems analysis. One of the signs of the times is a discernible tilt toward application in mathematics and conversely a greater level of mathematical sophistication in the application areas such as economics or system science, both spurred undoubtedly by the heightening pace of digital computer usage. This book is an entry into this twilight zone. The aspects of functional analysis treated here are rapidly becoming essential in the training at the advance graduate level of system scientists and/or mathematical economists. There are of course now available many excellent treatises on functional analysis.

Applied Functional Analysis (Applications of Mathematics)

Secaucus, New Jersey, U.S.A.: Springer Verlag"

Elements of State Space Theory of Systems (University Series in Modern Engineering)

Engineering & Transportation

Engineering

Optimization Software, Inc.

Breaking with the traditional treatment of random processes in engineering On the surface, Introduction to Random Processes in Engineering is simply a first-rate textbook for senior or first-year graduate engineering courses in stochastic processes. A closer look, however, reveals an innovative book-rich with examples and commonsense explanations-that demystifies theories, eliminates ambiguities, and provides a solid, up-to-date introduction to this important subject. Departing from the classical texts of the sixties and seventies in its coverage of random signals and data processing, Introduction to Random Processes in Engineering addresses the latest advances in communication, control engineering, and signal processing by allowing all processes to be multidimensional with an emphasis on discrete-time processes and systems. Unlike current texts, this volume provides a strong mathematical perspective for its engineering topics without getting bogged down in technicalities. It employs mathematics to achieve clarity and precision, and at times even uses the theorem/proof style to emphasize mathematical fine points. This approach is particularly advantageous when dealing with random data, and when building an understanding of the many computer programs routinely used, its theoretical principles, and the results it generates. Assuming a senior-level background in probability theory and some acquaintance with linear systems and signals, the book provides: * A review chapter of the formulas used later in the book * Illustrative examples * Emphasis in simulation techniques * Problems accompanying each chapter that often introduce the student to other relevant material * Notes and comments following each chapter that encourage additional reading as well as historical explorations in the field * Tips for using the material at various levels of instruction With its logical and systematically ordered presentation of the material, as well as its fresh approach, Introduction to Random Processes in Engineering is both a superior textbook and a valuable reference for practicing engineers and researchers in the field.

Introduction to Random Processes in Engineering

Wiley-Interscience

Breaking with traditional treatment of random processes in engineering . . . On the surface, Introduction to Random Processes in Engineering is simply a first-rate textbook for senior or first-year graduate engineering courses in stochastic processes. A closer look, however, reveals an innovative book--rich with examples and commonsense explanations--that demystifies theories, eliminates ambiguities; and provides a solid up-to-date introduction to this important subject. Departing from the classical texts of the sixties and seventies in its coverage of random signals and data processing, Introduction to Random Processes in Engineering addresses the latest advances in communication, control engineering, and signal processing by allowing all processes to be multidimensional with an emphasis on discrete-time processes and systems. Unlike current texts, this volume provides a strong mathematical perspective for its engineering topics without getting bogged down in technicalities. It employs mathematics to achieve clarity and precision, and at times even uses the theorem/proof style to emphasize mathematical fine points. This approach is particularly advantageous when dealing with random data, and when building an understanding of the many computer programs routinely used, their theoretical principles, and the results they generate. Assuming background in probability theory at a senior level and some acquaintance with linear systems and signals, the book provides: * A review chapter of the formulas used later in the book * Illustrative examples * Emphasis in simulation techniques * Problems accompanying each chapter that often introduce the student to other relevant material * Notes and comments following each chapter that encourage additional reading as well as historical explorations in the field * Tips for using the material at various levels of instruction With its logical and systematically ordered presentation of the material, as well as its fresh approach, Introduction to Random Processes in Engineering is both a superior textbook and a valuable reference for practicing engineers and researchers in the field.

Elements of state space theory of systems (University series in modern engineering)

Optimization Software, Inc., Publications Division

State Space Theory of Systems: An Introduction (Series in Communication and Control Systems)

Optimization Software

Aeroelasticity The Continuum Theory (Pb 2018)

Springer India

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