"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.
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4 of 4 people found the following review helpful:
4.0 out of 5 stars
Very useful for robotics,
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This review is from: Applied Algebra and Functional Analysis (Dover Books on Mathematics) (Paperback)
This book was recommended to me as a starting point to both review and learn advanced mathematics useful for robotics scientists and engineers. It covers linear differential equations, algebras (including Lie algebra), and metric spaces.I found the text reasonable readable, and would recommend it to anyone looking to improve their understanding of the mathematical fundamentals useful for robotics and control research.
3 of 3 people found the following review helpful:
4.0 out of 5 stars
really useful discussion of the material,
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This review is from: Applied Algebra and Functional Analysis (Dover Books on Mathematics) (Paperback)
My advanced mathematical training is in statistics, which is a field that relies HEAVILY on linear algebra. One undergraduate course in linear algebra is really insufficient to understand the mathematics necessary for the more advanced courses and some knowledge of functional analysis is also useful. This book is--thanks to Dover--an inexpensive way to fill the gap through self-study. It is highly useful for explaining a number of more advanced results without being too technical. Enhancing its utility to people working in applied fields, it has a number of useful examples and applications illustrating the utility (well, mathematical utility :) of the concepts discussed, e.g., applications to least squares problems, Fourier series, etc.
5.0 out of 5 stars
Balanced and comprehensive text.,
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This review is from: Applied Algebra and Functional Analysis (Dover Books on Mathematics) (Paperback)
I have recently obtained my PhD in control systems from UC Berkeley. Controls is higly mathematical area of applied science. It mainly relies on linear algebra, real and complex analysis which all constitue the unifying functional analysis framework. This book, which happens to be written by controls professors, is indeed a very useful reference to the subject. The book's style is very balanced between deep theory and applications. From my experience taking math courses on functional analysis, the book is also very comprehensive in the amount of topics it covers. In conclusion, anyone interested in seeing applied functional analysis (Banach and Hilbert spaces techniques), this book is good.
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
8
books
cite this book:
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- Linear Systems by Panos J. Antsaklis on page 80, page 193, and page 510
- Qualitative Theory of Dynamical Systems (Pure and Applied Mathematics) by Anthony Michel on page 162, page 255, and page 693
- Qualitative Analysis and Synthesis of Recurrent Neural Networks (Chapman & Hall/CRC Pure and Applied Mathematics) by Anthony Michel on page 113, and page 422
- Least Squares Support Vector Machines by Johan A K Suykens in Back Matter
- Stability and Control of Dynamical Systems with Applications: A Tribute to Anthony N. Michel (Control Engineering) by Derong Liu in Front Matter
See all 8 books citing this book
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