Elementary Linear Algebra, 11th Edition

Book Cover

Elementary Linear Algebra, 11th Edition

By Howard Anton

Elementary Linear Algebra gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus.

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Howard Anton obtained his B.A. from Lehigh University, his M.A. from the University of Illinois, and his Ph.D. from the Polytechnic Institute of Brooklyn, all in mathematics. He worked in the manned space program at Cape Canaveral in the early 1960’s. In 1968 he became a research professor of mathematics at Drexel University in Philadelphia, where he taught and did mathematical research for 15 years. In 1983 he left Drexel as a Professor Emeritus of Mathematics to become a full-time writer of mathematical textbooks. There are now more than 150 versions of his books in print, including translations into Spanish, Arabic, Portuguese, French, German, Chinese, Japanese, Hebrew, Italian, and Indonesian. He was awarded a Textbook Excellence Award in 1994 by the Textbook Authors Association, and in 2011 that organization awarded his Elementary Linear Algebra text its McGuffey Award. Dr. Anton has been President of the EPADEL section of the Mathematical Association America, served on the Board of Governors of that organization, and guided the creation of its Student Chapters. For relaxation, Dr. Anton enjoys traveling and photography.

Chapter 1. Systems of Linear Equations and Matrices
Chapter 2. Determinants
Chapter 3. Euclidean Vector Spaces
Chapter 4. General Vector Spaces
Chapter 5. Eigenvalues and Eigenvectors
Chapter 6. Inner Product Spaces
Chapter 7. Diagonalization and Quadratic Forms
Chapter 8. General Linear Transformations
Chapter 9. Numerical Methods

A. Working with Proofs
B. Complex Numbers

Answers to Exercises