عنوان

Algebra and analysis for engineers and scientists /

(Number (ISBN

0817647074

(Number (ISBN

9780817647070

Erroneous ISBN

0817647066

Erroneous ISBN

9780817647063

Number

b798979

Title Proper

Algebra and analysis for engineers and scientists /

General Material Designation

[Book]

First Statement of Responsibility

Anthony N. Michel, Charles J. Herget.

Place of Publication, Distribution, etc.

Boston :

Name of Publisher, Distributor, etc.

Birkhäuser,

Date of Publication, Distribution, etc.

©2007.

Specific Material Designation and Extent of Item

1 online resource (xiv, 484 pages) :

Other Physical Details

illustrations

Text of Note

Includes bibliographical references and index.

Text of Note

Fundamental Concepts -- Algebraic Structures -- Vector Spaces and Linear Transformations -- Finite-Dimensional Vector Spaces and Matrices -- Metric Spaces -- Normed Spaces and Inner Product Spaces -- Linear Operators.

0

Text of Note

"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 nontrivial, manner ... [T]he book is quite thorough and can serve as a text, for self-study, or as a reference."--Mathematical Reviews Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to: * provide readers with appropriate mathematical background for graduate study in engineering or science; * allow students in engineering or science to become familiar with a great deal of pertinent mathematics in a rapid and efficient manner without sacrificing rigor; * give readers a unified overview of applicable mathematics, enabling them to choose additional, advanced topical courses in mathematics more intelligently. Whereas these objectives for writing this book were certainly pertinent over twenty years ago when the work was first published, they are even more compelling now. Today's graduate students in engineering or science are expected to be more knowledgeable and sophisticated in mathematics than students in the past. Moreover, today's graduate students in engineering or science are expected to be familiar with a great deal of ancillary material (primarily in the computer science area), acquired in courses that did not even exist a couple of decades ago. The book is divided into three parts: set theory (Chapter 1), algebra (Chapters 2-4), and analysis (Chapters 5-7). The first two chapters deal with the fundamental concepts of sets, functions, relations and equivalence relations, and algebraic structures. Chapters 3 and 4 cover vector spaces and linear transformations, and finite-dimensional vector spaces and matrices. The last three chapters investigate metric spaces, normed and inner product spaces, and linear operators. Because of its flexible structure, Algebra and Analysis for Engineers and Scientists may be used either in a one- or two-semester course by deleting appropriate sections, taking into account the students' backgrounds and interests. A generous number of exercises have been integrated into the text, and a section of references and notes is provided at the end of each chapter. Applications of algebra and analysis having a broad appeal are also 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 is available at http://Michel.Herget.net.

Source for Acquisition/Subscription Address

Springer

Stock Number

978-0-8176-4706-3

Title

Algebra and analysis for engineers and scientists.

International Standard Book Number

0817647066

Algebra, Textbooks.

Mathematical analysis, Textbooks.

Algebra, Lehrbuch.

Algebra.

Analysis, Lehrbuch.

Mathematical analysis.

MAT002000

PBF

Number

Edition

Class number

Book number

Michel, Anthony N.

Herget, Charles J.

Date of Transaction

20201207112854.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y