Linear Algebra

ISBN-13: 9781498776851 / Angielski / Twarda / 2020 / 414 str.

James R. Kirkwood; Bessie H. Kirkwood

Opis

This is the second of a two-part set of books for the undergraduate linear algebra sequence. The text is for more advanced courses taught in mathematics departments. This course is based around matrix theory and focused on the theory of linear algebra. Along with the chapters found in Elementary Linear Algebra, he offers seven additional chapters .

Spis treści

Chapter 1. Matrices. Chapter 2. Systems of Linear Equations. Chapter 3. Vector Spaces. Chapter 4. Linear Transformations. Chapter 5. Eigenvalues and Eigenvectors. Chapter 6. Inner Product Spaces. Chapter 7. Linear Functional, Dual Spaces, and Adjoint Operators. Chapter 8. Two Decompositions of a Matrix. Chapter 9. Determinants. Chapter 10. The Jordan Canonical Form. Chapter 11. Applications of the Jordan Canonical Form. Chapter 12. The Perron–Frobenius Theorem. Chapter 13. Bilinear Forms. Chapter 14. Introduction to Tensor Product. Appendix I. A brief guide to MATLAB. Appendix II. An introduction to R. Answers to selected exercises.

O autorze

Jim Kirkwood holds a Ph.D. from University of Virginia. He has had ten mathematics textbooks published on various topics including calculus, real analysis, mathematical biology and mathematical physics. His newest text is "Markov Processes," published by Taylor and Francis, and will be out in January, 2015. His original research was in mathematical physics, and he co-authored the seminal paper in a topic now called Kirkwood-Thomas Theory in mathematical physics. During the summer, he teaches real analysis to entering graduate students at the University of Virginia. He has been awarded several National Science Foundation grants.