Linear Functional Analysis for Scientists and Engineers (PDF)

Balmohan V. Limaye is adjunct professor at the Department of Mathematics, Indian Institute of Technology (IIT) Bombay, where he has been working for more than 40 years. Earlier, he worked at the University of California at Irvine (USA), for one year and the Tata Institute of Fundamental Research (TIFR), Mumbai, for six years. Professor Limaye has made research visits to the University of Grenoble (France); the Australian National University at Canberra; the University of Saint-Étienne (France); the University of Tübingen (Germany); Oberwolfach Research Institute for Mathematics (Germany); the University of California at Irvine (USA); the University of Porto (Portugal), and the Technical University of Berlin (Germany).
Professor Limaye earned his PhD in mathematics from the University of Rochester, New York, in 1969. His research interests include algebraic analysis, numerical functional analysis and linear algebra. He has published more than 50 articles in refereed journals. In 1995, he was invited by the Indian Mathematical Society (IMS) to deliver the Sixth Srinivasa Ramanujan Memorial Award Lecture. In 1999 and in 2014, he received the "Award for Excellence in Teaching" from the IIT Bombay. An International Conference on "Topics in Functional Analysis and Numerical Analysis" was held in his honour in 2005, and its proceedings were published in a special issue of The Journal of Analysis in 2006. He is an emeritus member of the American Mathematical Society and a life member of the Indian Mathematical Society.
He is author/coauthor of several books: (i) Textbook of Mathematical Analysis (Tata McGraw-Hill, 1980), (ii) Functional Analysis (Wiley Eastern, 1981; New Age International, 1996), (iii) Spectral Perturbation and Approximation with Numerical Experiments (Australian National University, 1987), (iv) Real Function Algebras (Marcel Dekker, 1992), (v) Spectral Computations for Bounded Operators (CRC Press, 2001), (vi) A Course in Calculus and Real Analysis

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“The title of this book indicates that it is mainly devoted to linear maps on linear spaces. … All chapters are accompanied by useful exercises of varying levels of difficulty, which help the readers to develop their knowledge on the topics. The solutions of the exercises are given at the end of the book. … This textbook is essentially addressed to people working in engineering and sciences branches.” (Mohammad Sal Moslehian, zbMATH 1352.46001, 2017)