Linear algebra and linear operators in engineering: with applications in Mathematica
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
San Diego
Academic Press
c2000
|
| Schriftenreihe: | Process systems engineering
v. 3 |
| Schlagworte: | |
| Online-Zugang: | FAW01 Volltext |
| Beschreibung: | Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics. Contains numerous Mathematica examples complete with full code and solutions Provides complete numerical algorithms for solving linear and nonlinear problems Spans elementary notions to the functional theory of linear integral and differential equations Includes over 130 examples, illustrations, and exercises and over 220 problems ranging from basic concepts to challenging applications Presents real-life applications from chemical, mechanical, and electrical engineering and the physical sciences Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (xi, 547 p.) |
| ISBN: | 012206349X 9780122063497 |
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| 500 | |a Includes bibliographical references and index | ||
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Datensatz im Suchindex
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|---|---|
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| author | Davis, H. Ted, (Howard Ted) |
| author_facet | Davis, H. Ted, (Howard Ted) |
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| author_sort | Davis, H. Ted, (Howard Ted) |
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| dewey-full | 512/.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.5 |
| dewey-search | 512/.5 |
| dewey-sort | 3512 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 012206349X 9780122063497 |
| language | English |
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| spelling | Davis, H. Ted, (Howard Ted) Verfasser aut Linear algebra and linear operators in engineering with applications in Mathematica H. Ted Davis, Kendall T. Thomson San Diego Academic Press c2000 1 Online-Ressource (xi, 547 p.) txt rdacontent c rdamedia cr rdacarrier Process systems engineering v. 3 Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics. Contains numerous Mathematica examples complete with full code and solutions Provides complete numerical algorithms for solving linear and nonlinear problems Spans elementary notions to the functional theory of linear integral and differential equations Includes over 130 examples, illustrations, and exercises and over 220 problems ranging from basic concepts to challenging applications Presents real-life applications from chemical, mechanical, and electrical engineering and the physical sciences Includes bibliographical references and index Mathematica (Computer file) Algebras, Linear fast Engineering mathematics fast Linear operators fast Algebras, Linear Linear operators Engineering mathematics Mathematica Programm (DE-588)4268208-3 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Mathematica Programm (DE-588)4268208-3 s Lineare Algebra (DE-588)4035811-2 s 1\p DE-604 Thomson, Kendall T. Sonstige oth http://www.sciencedirect.com/science/book/9780122063497 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Davis, H. Ted, (Howard Ted) Linear algebra and linear operators in engineering with applications in Mathematica Mathematica (Computer file) Algebras, Linear fast Engineering mathematics fast Linear operators fast Algebras, Linear Linear operators Engineering mathematics Mathematica Programm (DE-588)4268208-3 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4268208-3 (DE-588)4035811-2 |
| title | Linear algebra and linear operators in engineering with applications in Mathematica |
| title_auth | Linear algebra and linear operators in engineering with applications in Mathematica |
| title_exact_search | Linear algebra and linear operators in engineering with applications in Mathematica |
| title_full | Linear algebra and linear operators in engineering with applications in Mathematica H. Ted Davis, Kendall T. Thomson |
| title_fullStr | Linear algebra and linear operators in engineering with applications in Mathematica H. Ted Davis, Kendall T. Thomson |
| title_full_unstemmed | Linear algebra and linear operators in engineering with applications in Mathematica H. Ted Davis, Kendall T. Thomson |
| title_short | Linear algebra and linear operators in engineering |
| title_sort | linear algebra and linear operators in engineering with applications in mathematica |
| title_sub | with applications in Mathematica |
| topic | Mathematica (Computer file) Algebras, Linear fast Engineering mathematics fast Linear operators fast Algebras, Linear Linear operators Engineering mathematics Mathematica Programm (DE-588)4268208-3 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Mathematica (Computer file) Algebras, Linear Engineering mathematics Linear operators Mathematica Programm Lineare Algebra |
| url | http://www.sciencedirect.com/science/book/9780122063497 |
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