The Resource Algebra and Analysis for Engineers and Scientists, by Anthony N. Michel, Charles J. Herget, (electronic resource)

Algebra and Analysis for Engineers and Scientists, by Anthony N. Michel, Charles J. Herget, (electronic resource)

Label
Algebra and Analysis for Engineers and Scientists
Title
Algebra and Analysis for Engineers and Scientists
Statement of responsibility
by Anthony N. Michel, Charles J. Herget
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
"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
http://library.link/vocab/creatorName
Michel, Anthony N
Dewey number
512
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • N5az9BXcpy0
  • mKk4cf-XcHQ
Language note
English
LC call number
QA150-272
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Herget, Charles J.
http://library.link/vocab/subjectName
  • Algebra
  • Functional analysis
  • Engineering
  • Engineering mathematics
  • Mathematics
  • System theory
  • Algebra
  • Functional Analysis
  • Engineering, general
  • Mathematical and Computational Engineering
  • Applications of Mathematics
  • Systems Theory, Control
Label
Algebra and Analysis for Engineers and Scientists, by Anthony N. Michel, Charles J. Herget, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2007.
Extent
1 online resource (499 p.)
Form of item
online
Isbn
9781283438155
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-4707-0
Specific material designation
remote
System control number
  • (CKB)2610000000000049
  • (EBL)3064958
  • (SSID)ssj0000372618
  • (PQKBManifestationID)11232140
  • (PQKBTitleCode)TC0000372618
  • (PQKBWorkID)10420837
  • (PQKB)10792074
  • (DE-He213)978-0-8176-4707-0
  • (MiAaPQ)EBC3064958
  • (EXLCZ)992610000000000049
Label
Algebra and Analysis for Engineers and Scientists, by Anthony N. Michel, Charles J. Herget, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2007.
Extent
1 online resource (499 p.)
Form of item
online
Isbn
9781283438155
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-4707-0
Specific material designation
remote
System control number
  • (CKB)2610000000000049
  • (EBL)3064958
  • (SSID)ssj0000372618
  • (PQKBManifestationID)11232140
  • (PQKBTitleCode)TC0000372618
  • (PQKBWorkID)10420837
  • (PQKB)10792074
  • (DE-He213)978-0-8176-4707-0
  • (MiAaPQ)EBC3064958
  • (EXLCZ)992610000000000049

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