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Ward Cheney and David Kincaid have developed Linear Algebra: Theory and Applications, Second Edition, a multi-faceted introductory textbook, which was motivated by their desire for a single text that meets the various requirements for differing courses within linear algebra. For theoretically-oriented students, the text guides them as they devise proofs and deal with abstractions by focusing on a comprehensive blend between theory and applications. For application-oriented science and engineering students, it contains numerous exercises that help them learn and understand not only vector spaces, matrices, and linear transformations, but also how software tools are used in applied linear algebra. Using a flexible design, it is an ideal textbook for instructors who wish to make their own choice regarding what material to emphasize, and to accentuate those choices with homework assignments from a large variety of exercises, both in the text and online.
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Features & Benefits
- New General Exercises and Computer Exercises have been added to nearly all sections throughout the text.
- Thousands of exercises, both True/False and multiple-choice, are included online and within the Student Study Guide.
- The authors encourage students to learn one of the powerful mathematical software tools, such as Matlab, Maple, or Mathematica to assist in solving exercises.
- Numerous examples throughout the text show how problems from engineering, biology, natural science, and demography can be solved using linear algebra.
- A Student Solutions Manual and Study Guide provides worked solutions to selected exercises from the text as well as additional exercises.
Written for the introductory, college or university level course in Linear Algebra.
Chapter 1 Systems of Linear Equations
Chapter 2 Vector Spaces and Transformations
Chapter 3 Matrix Operations
Chapter 4 Determinants
Chapter 5 Vector Spaces
Chapter 6 Eigensystems
Chapter 7 Inner Product Vector Spaces
Chapter 8 Additional Topics
Ward Cheney, PhD-University of Texas, Austin
Ward Cheney's research interests are in approximation theory and numerical analysis. His book Introduction to Approximation Theory has been in print for many years and has been translated into several languages. His book A Course in Approximation Theory, co-authored with Professor Will Light, is a graduate level textbook. Cheney has taught mathematics courses at the University of Kansas, Iowa State University, University of California at Los Angeles, Michigan State University, Lund University (Sweden), and The University of Texas at Austin. He has been the author or co-author of over 100 research papers.
Additional Titles by this Author
- ISBN-13: 9781449637354
David R. Kincaid, PhD-University of Texas, Austin
David Kincaid's research interests are in scientific computing, especially parallel computing. He was one of the original co-authors for the BLAS: Basic Linear Algebra Subprograms. Previously co-authored books with Ward Cheney include Numerical Mathematics and Computing, currently in it's 6th edition, and Numerical Analysis: Mathematics of Scientific Computing, in it's 3rd edition. They have been translated into several languages as well as Braille and recorded for the visually impaired. Kincaid has taught computer science and mathematics courses at Purdue University and The University of Texas at Austin. He has been the author or co-author of over 100 research papers.