Fundamentals of Linear Algebra / (Record no. 96618514)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05406nam a2200529Ii 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429425479 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | FlBoTFG |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220520133951.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190122t20182019fluab ob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429425479(e-book : PDF) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1076543476 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | FlBoTFG |
| Transcribing agency | FlBoTFG |
| Description conventions | rda |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA251 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 002000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 003000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBCD |
| Source | bicscc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.897 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Chahal, J.S., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Fundamentals of Linear Algebra / |
| Statement of responsibility, etc. | by J.S. Chahal. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | First edition. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Boca Raton, FL : |
| Name of producer, publisher, distributor, manufacturer | Chapman and Hall/CRC, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2018]. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (240 pages) : |
| Other physical details | 17 illustrations, text file, PDF. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Textbooks in Mathematics |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Preface -- Advice to the Reader -- 1 Preliminaries -- What is Linear Algebra? -- Rudimentary Set Theory -- Cartesian Products -- Relations -- Concept of a Function -- Composite Functions -- Fields of Scalars -- Techniques for Proving Theorems -- 2 Matrix Algebra -- Matrix Operations -- Geometric Meaning of a Matrix Equation -- Systems of Linear Equation -- Inverse of a Matrix -- The Equation Ax=b -- Basic Applications -- 3 Vector Spaces -- The Concept of a Vector Space -- Subspaces -- The Dimension of a Vector Space -- Linear Independence -- Application of Knowing dim (V) -- Coordinates -- Rank of a Matrix -- 4 LinearMaps -- Linear Maps -- Properties of Linear Maps -- Matrix of a Linear Map -- Matrix Algebra and Algebra of Linear Maps -- Linear Functionals and Duality -- Equivalence and Similarity -- Application to Higher Order Differential Equations -- 5 Determinants -- Motivation -- Properties of Determinants -- Existence and Uniqueness of Determinant -- Computational Definition of Determinant -- Evaluation of Determinants -- Adjoint and Cramer's Rule -- 6 Diagonalization -- Motivation -- Eigenvalues and Eigenvectors -- Cayley-Hamilton Theorem -- 7 Inner Product Spaces -- Inner Product -- Fourier Series -- Orthogonal and Orthonormal Sets -- Gram-Schmidt Process -- Orthogonal Projections on Subspaces -- 8 Linear Algebra over Complex Numbers -- Algebra of Complex Numbers -- Diagonalization of Matrices with Complex Eigenvalues -- Matrices over Complex Numbers -- 9 Orthonormal Diagonalization -- Motivational Introduction -- Matrix Representation of a Quadratic Form -- Spectral Decompostion -- Constrained Optimization-Extrema of Spectrum -- Singular Value Decomposition (SVD) -- 10Selected Applications of Linear Algebra -- System of First Order Linear Differential Equations -- Multivariable Calculus -- Special Theory of Relativity -- Cryptography -- Solving Famous Problems from Greek Geometry -- Answers to Selected Numberical Problems -- Bibliography -- Index. |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc. | Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book proves it for any given vector space. ,With his experience in algebraic geometry and commutative algebra, the author defines the dimension of a vector space as its Krull dimension. By doing so, most of the facts about bases when the dimension is finite, are trivial consequences of this definition. To name one, the replacement theorem is no longer needed. It becomes obvious that any two bases of a finite dimensional vector space contain the same number of vectors. Moreover, this definition of the dimension works equally well when the geometric objects are nonlinear.,,Features:,,,Presents theories and applications in an attempt to raise expectations and outcomes,,,The subject of linear algebra is presented over arbitrary fields,,,Includes many non-trivial examples which address real-world problems,,,About the Author:,,Dr. J.S. Chahal is a professor of mathematics at Brigham Young University. He received his Ph.D. from Johns Hopkins University and after spending a couple of years at the University of Wisconsin as a post doc, he joined Brigham Young University as an assistant professor and has been there ever since. He specializes and has published a number of papers about number theory. For hobbies, he likes to travel and hike, the reason he accepted the position at Brigham Young University. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Also available in print format. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Applied. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | determinants. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Engineering Applications. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Linear Transformations. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Martix Alegbra. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Matrices. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Vector Spaces. |
| Source of heading or term | bisacsh |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebras, Linear. |
| 655 #0 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Taylor and Francis. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 9781138590502 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Textbooks in Mathematics. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://www.taylorfrancis.com/books/9780429425479">https://www.taylorfrancis.com/books/9780429425479</a> |
| Public note | Click here to view |
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