PREFACE :
This textbook is an expanded version of Elementary Linear Algebra, eleventh edition, by
Howard Anton. The first nine chapters of this book are identical to the first nine chapters
of that text; the tenth chapter consists of twenty applications of linear algebra drawn
frombusiness, economics, engineering, physics, computer science, approximation theory,
ecology, demography, and genetics. The applications are largely independent of each
other, and each includes a list of mathematical prerequisites. Thus, each instructor has
the flexibility to choose those applications that are suitable for his or her students and to
incorporate each application anywhere in the course after the mathematical prerequisites
have been satisfied. Chapters 1–9 include simpler treatments of some of the applications
covered in more depth in Chapter 10.
This edition gives an introductory treatment of linear algebra that is suitable for a
first undergraduate course. Its aim is to present the fundamentals of linear algebra in the
clearest possible way—sound pedagogy is the main consideration. Although calculus
is not a prerequisite, there is some optional material that is clearly marked for students
with a calculus background. If desired, that material can be omitted without loss of
continuity.
| Long Template | Short Template | |
| Chapter 1: Systems of Linear Equations and Matrices | 8 lectures | 6 lectures |
| Chapter 2: Determinants | 3 lectures | 2 lectures |
| Chapter 3: Euclidean Vector Spaces | 4 lectures | 3 lectures |
| Chapter 4: General Vector Spaces | 10 lectures | 9 lectures |
| Chapter 5: Eigenvalues and Eigenvectors | 3 lectures | 3 lectures |
| Chapter 6: Inner Product Spaces | 3 lectures | 1 lectures |
| Chapter 7: Diagonalization and Quadratic Forms | 4 lectures | 3 lectures |
| Chapter 8: General Linear Transformations | 4 lectures | 3 lectures |
| Total: | 39 lectures | 30 lectures |
Title : Elementary Linear Algebra, Applications Version
author(s) : Howard Anton, Chris Rorres
size : 8.4 Mb
file type : PDF
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