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**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.

- Series:
**Undergraduate Texts in Mathematics** - Author:
**Thomas Banchoff, John Wermer (auth.)** - Year:
**1992** - Publisher:
**Springer-Verlag New York** - Language:
**English** - ISBN:
**978-1-4612-8752-0,978-1-4612-4390-8**

- File size:
**9 011 357** - Format:
**pdf**

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This book provides students with the rudiments of Linear Algebra, a fundamental subject for students in all areas of science and technology. The book would also be good for statistics students studying linear algebra.It is the translation of a successful ...

This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a well-known expert in the first mentioned field. He presents ...

PURE AND APPLIED MATHEMATICSA Series of Monographs and TextbooksEdited byPaul A. Smith and Samuel Eilenberg Columbia University, New YorkIn this book we intend to establish the essential structural identity of projective geometry and linear algebra. It ha...

This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism...

This book is written as a textbook for the course of multidimensional geometryand linear algebra. At Mathematical Department of Bashkir State University thiscourse is taught to the first year students in the Spring semester. It is a part ofthe basic mathe...

This is a readable introduction to linear algebra, starting at an elementary level. The book is intended for use in courses for both students of pure mathematics who may subsequently pursue more advanced study in the area, and for students who require lin...

Designed for use by first-year graduate students from a variety of engineering and scientific disciplines, this comprehensive textbook covers the solution of linear systems, least squares problems, eigenvalue problems, and the singular value decomposition...

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This text was originally written for a Â«CapstoneÂ» course at Michigan State University. A Capstone course is intended for undergraduate mathematics majors, as one of the final courses taken in their undergraduate curriculum. Its purpose is to bring togethe...

The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other result...

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What did the rulers of the Soviet Union truly think about each other?Â Piggy Foxy and the Sword of Revolution provides a window onto the soul of Bolshevism no other set of materials has ever offered.Â Sketching on notebook pages, official letterheads, and...

It was only recently that people began to refer to God, occasionally, as â€śshe.â€ť Is it now possible to re-imagine divine power as a female force deeply related to the changing world? If so, then we can understand the deeper meaning of female images of divi...

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Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as comple...

The collection of papers in this special volume discuss issues and challenges that are pertinent in understanding present-day moves and tendencies in the use of languages in the African contexts. The volumeâ€™s major asset lies in the diversity of topics, t...

Written by over 20 leading international economists, this book offers "win-win" scenarios to economic problems. As in the other volumes of this set of public policy handbooks, the Handbook of Global Economic Policy employs a unique organizational principl...

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