Linear Algebra Through Geometry (Undergraduate Texts in Mathematics) - Hardcover
Book 67 of 165: Undergraduate Texts in Mathematics
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.
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Synopsis
Revised and expanded undergraduate textbook introduces the concepts of linear algebra through the careful study of two- and three-dimensional Euclidean geometry. Except for the applications in the final chapter, the only prerequisites are high-school geometry, algebra, and introductory trigonometry. Annotation copyright Book News, Inc. Portland, Or
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Linear Algebra Through Geometry (Undergraduate Texts in Mathematics)
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Linear Algebra Through Geometry (Undergraduate Texts In Mathematics Series)
Published by
Springer-Verlag, New York, 1992
ISBN 10: 0387975861
ISBN 13: 9780387975863
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Hardcover. Condition: New. Second edition. 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
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Linear Algebra Through Geometry (Hardcover)
Published by
Springer-Verlag New York Inc., New York, NY, 1991
ISBN 10: 0387975861
ISBN 13: 9780387975863
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Hardcover. Condition: new. Hardcover. 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. Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780387975863
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Linear Algebra Through Geometry
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Springer New York Nov 1991, 1991
ISBN 10: 0387975861
ISBN 13: 9780387975863
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book 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. 324 pp. Englisch. Seller Inventory # 9780387975863
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Linear Algebra Through Geometry
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Linear Algebra Through Geometry
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Springer-Verlag New York Inc., 1991
ISBN 10: 0387975861
ISBN 13: 9780387975863
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