A First Course in Linear Algebra (Record no. 38480)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04160nam a2200397 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | OTLid0000213 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MnU |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20241120064009.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m o d s |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180907s2023 mnu o 0 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MnU |
| Language of cataloging | eng |
| Transcribing agency | MnU |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA1 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA37.3 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA150-272.5 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kuttler, Ken |
| Relator term | author |
| 245 02 - TITLE STATEMENT | |
| Title | A First Course in Linear Algebra |
| Statement of responsibility, etc | Ken Kuttler |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 10th Edition |
| 264 #2 - | |
| -- | Minneapolis, MN |
| -- | Open Textbook Library |
| 264 #1 - | |
| -- | [Place of publication not identified] |
| -- | Lyryx |
| -- | 2017. |
| 264 #4 - | |
| -- | ©2023. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 490 0# - SERIES STATEMENT | |
| Series statement | Open textbook library. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1 Systems of Equations -- 1.1 Systems of Equations, Geometry -- 1.2 Systems Of Equations, Algebraic Procedures -- 2 Matrices -- 2.1 Matrix Arithmetic -- 2.2 LU Factorization -- 3 Determinants -- 3.1 Basic Techniques and Properties -- 3.2 Applications of the Determinant -- 4 R^n -- 4.1 Vectors in R^n -- 4.2 Algebra in R^n -- 4.3 Geometric Meaning of Vector Addition -- 4.4 Length of a Vector -- 4.5 Geometric Meaning of Scalar Multiplication -- 4.6 Parametric Lines -- 4.7 The Dot Product -- 4.8 Planes in R^n -- 4.9 The Cross Product -- 4.10 Spanning, Linear Independence and Basis in R^n -- 4.11 Orthogonality and the Gram Schmidt Process -- 4.12 Applications -- 5 Linear Transformations -- 5.1 Linear Transformations -- 5.2 The Matrix of a Linear Transformation I -- 5.3 Properties of Linear Transformations -- 5.4 Special Linear Transformations in R^2 -- 5.5 One to One and Onto Transformations -- 5.6 Isomorphisms -- 5.7 The Kernel And Image Of A Linear Map -- 5.8 The Matrix of a Linear Transformation II -- 5.9 The General Solution of a Linear System -- 6 Complex Numbers -- 6.1 Complex Numbers -- 6.2 Polar Form -- 6.3 Roots of Complex Numbers -- 6.4 The Quadratic Formula -- 7 Spectral Theory -- 7.1 Eigenvalues and Eigenvectors of a Matrix -- 7.2 Diagonalization -- 7.3 Applications of Spectral Theory -- 7.4 Orthogonality -- 8 Some Curvilinear Coordinate Systems -- 8.1 Polar Coordinates and Polar Graphs -- 8.2 Spherical and Cylindrical Coordinates -- 9 Vector Spaces -- 9.1 Algebraic Considerations -- 9.2 Spanning Sets -- 9.3 Linear Independence -- 9.4 Subspaces and Basis -- 9.5 Sums and Intersections -- 9.6 Linear Transformations -- 9.7 Isomorphisms -- 9.8 The Kernel And Image Of A Linear Map -- 9.9 The Matrix of a Linear Transformation -- A Some Prerequisite Topics -- A.1 Sets and Set Notation -- A.2 Well Ordering and Induction -- B Selected Exercise Answers |
| 520 0# - SUMMARY, ETC. | |
| Summary, etc | This text, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course in linear algebra for science and engineering students who have an understanding of basic algebra. All major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced. The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the text. Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors. |
| 542 1# - | |
| -- | Attribution |
| 546 ## - LANGUAGE NOTE | |
| Language note | In English. |
| 588 0# - | |
| -- | Description based on print resource |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| Form subdivision | Textbooks |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra |
| Form subdivision | Textbooks |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Open Textbook Library |
| Relator term | distributor |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://open.umn.edu/opentextbooks/textbooks/213">https://open.umn.edu/opentextbooks/textbooks/213</a> |
| Public note | Access online version |
No items available.