Linear Algebra Through Geometry (Undergraduate Texts In Mathematics Series)

Thomas Banchoff, John Wermer

ISBN 10: 0387975861 / ISBN 13: 9780387975863

Published by Springer-Verlag, New York, 1992

About this Item

New, tight, pristine. Second edition, first printing, of this volume which is part of the renowned Springer-Verlag series of undergraduate textbooks. Designed for undergraduate math majors, typically third and fourth year students. The series employs novel approaches, as seen in this volume which presents linear algebra utilizing a visual, two- and three-dimensional Euclidean geometric approach. This approach improves the accessibility of the discipline's abstract topics. Provides historical context and promotes an understanding of the interrelations of multiple mathematical topics. Covers the standard topics of dot products, determinants, eigenvalues, quadratic forms and extends to n-dimensional spaces, inner products, and applications. Incorporates real-world applications (least-squares approximations, curvature of surfaces). For all but the last chapter, this text requires only high school geometry, algebra, and introductory trigonometry. Considered a classic.

Seller Inventory # 634

Bibliographic Details

• Title: Linear Algebra Through Geometry (Undergraduate Texts In Mathematics Series)
• Publisher: Springer-Verlag, New York
• Publication Date: 1992
• Language: English
• ISBN 10: 0387975861
• ISBN 13: 9780387975863
• Binding: Hardcover
• Edition: Second edition.
• Condition: New
• Seller catalogs:
  • Science and Medicine

About this title

Synopsis

Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry.