Authors:
- Allows students in engineering or science to become familiar with a great deal of pertinent mathematics in a rapid and efficient manner without sacrificing rigor
- Gives readers a unified overview of applicable mathematics, enabling them to choose additional, advanced topical courses in mathematics more intelligently
- Many exercises integrated into the text
- Applications of algebra and analysis having a broad appeal are featured, including topics dealing with ordinary differential equations, integral equations, applications of the contraction mapping principle, minimization of functionals, an example from optimal control, and estimation of random variables
- Supplementary material for students and instructors available on the web
- Useful as a course textbook, for self-study, or as a reference
- Includes supplementary material: sn.pub/extras
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
Reviews
"This book is a useful compendium of the mathematics of (mostly) finite-dimensional linear vector spaces (plus two final chapters on infinite-dimensional spaces), which do find increasing application in many branches of engineering and science…. The treatment is thorough; the book will certainly serve as a valuable reference." —American Scientist
"The authors present topics in algebra and analysis for students in engineering and science….. Each chapter is organized to include a brief overview, detailed topical discussions and references for further study. Notes about the references guide the student to collateral reading. Theorems, definitions, and corollaries are illustrated with examples. The student is encouraged to prove some theorems and corollaries as models for proving others in exercises. In most chapters, the authors discuss constructs used to illustrate examples of applications. Discussions are tied together by frequent, well written notes. The tables and index are good. The type faces are nicely chosen. The text should prepare a student well in mathematical matters." —Science Books and Films
"This is an intermediate level text, with exercises, whose avowed purpose is to provide the science and engineering graduate student with an appropriate modern mathematical (analysis and algebra) background in a succinct, but not trivial, manner. After some fundamentals, algebraic structures are introduced followed by linear spaces, matrices, metric spaces, normed and inner product spaces and linear operators…. While one can quarrel with the choice of specific topics and the omission of others, the book is quite thorough and can serve as a text, for self-study, or as a reference." —Mathematical Reviews
"The authors designed a typical work from graduate mathematical lectures: formal definitions, theorems, corollaries,proofs, examples, and exercises. It is to be noted that problems to challenge students’ comprehension are interspersed throughout each chapter rather than at the end." —CHOICE
Authors and Affiliations
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Department of Electrical Engineering, University of Notre Dame, Notre Dame, USA
Anthony N. Michel
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Herget Associates, Alameda, USA
Charles J. Herget
Bibliographic Information
Book Title: Algebra and Analysis for Engineers and Scientists
Authors: Anthony N. Michel, Charles J. Herget
DOI: https://doi.org/10.1007/978-0-8176-4707-0
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2007
Softcover ISBN: 978-0-8176-4706-3Published: 04 September 2007
eBook ISBN: 978-0-8176-4707-0Published: 24 December 2009
Edition Number: 1
Number of Pages: XIV, 486
Number of Illustrations: 48 b/w illustrations
Additional Information: Originally published as "Mathematical Foundations in Engineering and Science" by Prentice-Hall, 1981; reprinted as "Applied Algebra and Functional Analysis" by Dover, 1993
Topics: Algebra, Functional Analysis, Engineering, general, Mathematical and Computational Engineering, Applications of Mathematics, Systems Theory, Control