Overview

"The Essentials of a First Linear Algebra Course and More Linear Algebra, Geometry and Transformation provides students with a solid geometric grasp of linear transformations. It stresses the linear case of the inverse function and rank theorems and gives a careful geometric treatment of the spectral theorem. An Engaging Treatment of the Interplay among Algebra, Geometry, and Mappings The text starts with basic questions about images and pre-images of mappings, injectivity, surjectivity, and distortion. In the process of answering these questions in the linear setting, the book covers all the standard topics for a first course on linear algebra, including linear systems, vector geometry, matrix algebra, subspaces, independence, dimension, orthogonality, eigenvectors, and diagonalization. A Smooth Transition to the Conceptual Realm of Higher Mathematics This book guides students on a journey from computational mathematics to conceptual reasoning. It takes them from simple ""identity verification"" proofs to constructive and contrapositive arguments. It will prepare them for future studies in algebra, multivariable calculus, and the fields that use them. Print Versions of this book also include access to the ebook version."

Full Product Details

Author:   Bruce Solomon (Indiana University, Bloomington, USA)
Publisher:   Taylor & Francis Inc
Imprint:   Chapman & Hall/CRC
Volume:   20
Dimensions:   Width: 17.80cm , Height: 2.80cm , Length: 25.40cm
Weight:   1.183kg
ISBN:  

9781482299281

ISBN 10:   1482299283
Pages:   474
Publication Date:   12 December 2014
Audience:   College/higher education ,  College/higher education ,  Tertiary & Higher Education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Reviews

All the standard topics of a first course are covered, but the treatment omits abstract vector spaces. ... What is unusual is the author's aim to interpret every concept and result geometrically, thus motivating the student to learn to visualize what is going on, rather than just relying on calculations. This is a strong and useful feature. ... The book has very many practice sections with over 500 exercises, most of them numerical. ... As the author mentions in the preface, it was his aim to provide a sound mathematical introduction, and in the reviewer's opinion he has succeeded in doing this. -Zentralblatt MATH 1314

"""All the standard topics of a first course are covered, but the treatment omits abstract vector spaces. … What is unusual is the author's aim to interpret every concept and result geometrically, thus motivating the student to learn to visualize what is going on, rather than just relying on calculations. This is a strong and useful feature. … The book has very many practice sections with over 500 exercises, most of them numerical. … As the author mentions in the preface, it was his aim to provide a sound mathematical introduction, and in the reviewer's opinion he has succeeded in doing this."" —Zentralblatt MATH 1314"

All the standard topics of a first course are covered, but the treatment omits abstract vector spaces. ... What is unusual is the author's aim to interpret every concept and result geometrically, thus motivating the student to learn to visualize what is going on, rather than just relying on calculations. This is a strong and useful feature. ... The book has very many practice sections with over 500 exercises, most of them numerical. ... As the author mentions in the preface, it was his aim to provide a sound mathematical introduction, and in the reviewer's opinion he has succeeded in doing this. -Zentralblatt MATH 1314

Author Information

Bruce Solomon is a professor in the Department of Mathematics at Indiana University Bloomington, where he often teaches linear algebra. He has held visiting positions at Stanford University and in Australia, France, and Israel. His research articles explore differential geometry and geometric variational problems. He earned a PhD from Princeton University.

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