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Contemporary Linear Algebra

ISBN: 978-1-394-20752-7

March 2023

656 pages

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Description

From one of the premier authors in higher education comes a new linear algebra textbook that fosters mathematical thinking, problem-solving abilities, and exposure to real-world applications. Without sacrificing mathematical precision, Anton and Busby focus on the aspects of linear algebra that are most likely to have practical value to the student while not compromising the intrinsic mathematical form of the subject. Throughout Contemporary Linear Algebra, students are encouraged to look at ideas and problems from multiple points of view.

About the Author

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.

Features
  • Contemporary Linear Algebra meets the guidelines of the Linear Algebra Curriculum Study Group (LACSG).
  • The authors believe that a working knowledge of vectors in Rn and some experience with viewing functions as vectors is the right focus for this course. Material on Axiomatic vector spaces appears toward the end so as to avoid the wall of abstraction so many students encounter.
  • All major concepts are introduced early and revisited in more depth later on. This spiral approach to concept development ensures that all key topics can be covered in the course.
  • The text provides students with a strong geometric foundation upon which to build. In keeping with this goal, the text covers vectors first then proceeds to linear systems, which allows the authors to interpret parametric solutions of linear systems as geometric objects.
  • Looking Ahead features provide students with insight into the future role of the material currently being studied.
  • A wide range of applications throughout gives students a sense of the broad applicability of linear algebra. The applications include very modern topics such as global positioning and internet search procedures.
Each exercise set is broken into four categories:
  • Basic Exercises progressing in difficulty from drill to challenging.
  • Discussion and Discovery exercises that are more open-ended.
  • Working with Proofs exercises which ask students for precise proofs.
  • Technology Exercises that teach students how to use such tools as MatLab, Mathematica, Maple and Derive.
  • Theorems and proofs are presented with precision, but in a style appropriate for beginning students.