A Friendly Approach To Functional Analysis (Essential Textbooks in Mathematics)

Science & Math

Amol Sasane

Mathematics

Dev Publishers

This accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the solution of an important engineering problem: the stabilization of a linear control system. Its concise and self-contained treatment avoids the use of higher mathematics and forms a bridge to more advanced treatments. The treatment consists of two components: the algebraic framework, which serves as the abstract language for posing and solving the problem of stabilization; and the analysis component, which examines properties of specific rings of holomorphic functions. Elementary, self-contained, and constructive proofs elucidate the explorations of rings of holomorphic functions relevant in control theory. Introductory chapters on control theory and stable transfer functions are followed by surveys of unstable plants and the stabilization problem and its solution. The text concludes with suggestions for further reading and a bibliography.

Algebras of Holomorphic Functions and Control Theory (Dover Books on Mathematics)

Dover Publications

One Variable Calculus

wiley

Friendly Approach To Functional Analysis, A (Essential Textbooks in Mathematics)

This book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces, compact operators, and distributions. In addition, the book includes selected applications of functional analysis to differential equations, optimization, physics (classical and quantum mechanics), and numerical analysis. The book contains 197 problems, meant to reinforce the fundamental concepts. The inclusion of detailed solutions to all the exercises makes the book ideal also for self-study. 
 A Friendly Approach to Functional Analysis is written specifically for undergraduate students of pure mathematics and engineering, and those studying joint programmes with mathematics. 
 Readership: Graduate students in functional analysis, operator theory and mathematical physics.

FRIENDLY APPROACH TO FUNCTIONAL ANALYSIS, A (Essential Textbooks in Mathematics)

World Scientific Publishing Europe Ltd

Friendly Approach To Functional Analysis, A (Essential Textbooks In Mathematics Book 0)

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Books by Amol Sasane