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Linear algebra and linear operators in engineering : with applications in Mathematica / H. Ted Davis, Kendall T. Thomson.

By: Davis, H. Ted (Howard Ted)Contributor(s): Thomson, Kendall TMaterial type: TextTextSeries: Process systems engineering ; v. 3.Publication details: San Diego : Academic Press, ©2000. Description: 1 online resource (xi, 547 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9780080510248; 0080510248Subject(s): Mathematica (Computer file) | Mathematica (Computer file) | Mathematica (Computer file) | Algebras, Linear | Linear operators | Engineering mathematics | MATHEMATICS -- Algebra -- Linear | Algebras, Linear | Engineering mathematics | Linear operatorsGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Linear algebra and linear operators in engineering.DDC classification: 512/.5 LOC classification: QA184 | .D38 2000ebOnline resources: Click here to access online
Contents:
Front Cover; Linear Algebra and Linear Operators in Engineering; Copyright Page; Contents; Preface; Chapter 1. Determinants; Chapter 2. Vectors and Matrices; Chapter 3. Solution of Linear and Nonlinear Systems; Chapter 4. General Theory of Solvability of Linear Algebraic Equations; Chapter 5. The Eigenproblem; Chapter 6. Perfect Matrices; Chapter 7. Imperfect or Defective Matrices; Chapter 8. Infinite-Dimensional Linear Vector Spaces; Chapter 9. Linear Integral Operators in a Hilbert Space; Chapter 10. Linear Differential Operators in a Hilbert Space; APPENDIX; INDEX.
Summary: 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 sp.
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Includes bibliographical references and index.

Print version record.

Front Cover; Linear Algebra and Linear Operators in Engineering; Copyright Page; Contents; Preface; Chapter 1. Determinants; Chapter 2. Vectors and Matrices; Chapter 3. Solution of Linear and Nonlinear Systems; Chapter 4. General Theory of Solvability of Linear Algebraic Equations; Chapter 5. The Eigenproblem; Chapter 6. Perfect Matrices; Chapter 7. Imperfect or Defective Matrices; Chapter 8. Infinite-Dimensional Linear Vector Spaces; Chapter 9. Linear Integral Operators in a Hilbert Space; Chapter 10. Linear Differential Operators in a Hilbert Space; APPENDIX; INDEX.

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 sp.

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