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Textbooks in Mathematics Ser.: Linear Algebra, Geometry and Transformation by Bruce Solomon (2014, Mixed Lot)
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About this product
Product Identifiers
PublisherCRC Press LLC
ISBN-101482299283
ISBN-139781482299281
eBay Product ID (ePID)201666178
Product Key Features
Number of Pages474 Pages
Publication NameLinear Algebra, Geometry and Transformation
LanguageEnglish
Publication Year2014
SubjectAlgebra / Linear, General, Algebra / General, Applied
TypeTextbook
Subject AreaMathematics
AuthorBruce Solomon
SeriesTextbooks in Mathematics Ser.
FormatMixed Lot
Dimensions
Item Height1.1 in
Item Weight41.7 Oz
Item Length10.2 in
Item Width7.2 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2014-027909
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
Dewey Edition23
Series Volume Number20
IllustratedYes
Dewey Decimal512.5
Table Of ContentVectors, Mappings and Linearity Numeric Vectors Functions Mappings and Transformations Linearity The Matrix of a Linear Transformation Solving Linear Systems The Linear System The Augmented Matrix and RRE Form Homogeneous Systems in RRE Form Inhomogeneous Systems in RRE Form The Gauss-Jordan Algorithm Two Mapping Answers Linear Geometry Geometric Vectors Geometric/Numeric Duality Dot-Product Geometry Lines, Planes, and Hyperplanes System Geometry and Row/Column Duality The Algebra of Matrices Matrix Operations Special Matrices Matrix Inversion A Logical Digression The Logic of the Inversion Algorithm Determinants Subspaces Basic Examples and Definitions Spans and Perps Nullspace Column-Space Perp/Span Conversion Independence Basis Dimension and Rank Orthogonality Orthocomplements Four Subspaces, 16 Questions Orthonormal Bases The Gram-Schmidt Algorithm Linear Transformation Kernel and Image The Linear Rank Theorem Eigenspaces Eigenvalues and Eigenspaces: Calculation Eigenvalues and Eigenspaces: Similarity Diagonalizability and the Spectral Theorem Singular Value Decomposition Appendix A: Determinants Appendix B: Proof of the Spectral Theorem Appendix C: Lexicon Index
SynopsisThe 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., 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.
LC Classification NumberQA184.2.S65 2015
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