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Item specifics

Condition
Like New: A book that has been read, but looks new. The book cover has no visible wear, and the dust ...
Subject Area
Linear Algebra
ISBN
9780073532356

About this product

Product Identifiers

Publisher
McGraw-Hill Higher Education
ISBN-10
0073532355
ISBN-13
9780073532356
eBay Product ID (ePID)
69712378

Product Key Features

Number of Pages
416 Pages
Language
English
Publication Name
Introduction to Linear Algebra
Subject
Algebra / Linear, Algebra / General
Publication Year
2008
Type
Textbook
Author
Daniel Gagliardi, James Defranza
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
1.1 in
Item Weight
35.5 Oz
Item Length
9.4 in
Item Width
8 in

Additional Product Features

Intended Audience
College Audience
LCCN
2008-026020
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
512/.5
Table Of Content
Chapter 1 Systems of Linear Equations and Matrices 1 - 1.1 Systems of Linear Equations Exercise Set 1.1 - 1.2 Matrices and Elementary Row Operations Exercise Set 1.2 - 1.3 Matrix Algebra Exercise Set 1.3 - 1.4 The Inverse of a Square Matrix Exercise Set 1.4 - 1.5 Matrix Equations Exercise Set 1.5 - 1.6 Determinants Exercise Set 1.6 - 1.7 Elementary Matrices and LU Factorization Exercise Set 1.7 - 1.8 Applications of Systems of Linear Equatio Exercise Set 1.8 Review Exercises Chapter Test Chapter 2 Linear Combinations and Linear Independence - 2.1 Vectors in Rn Exercise Set 2.1 - 2.2 Linear Combinations Exercise Set 2.2 - 2.3 Linear Independence Exercise Set 2.3 Review Exercises Chapter Test Chapter 3 Vector Spaces - 3.1 Definition of a Vector Space Exercise Set 3.1 - 3.2 Subspaces Exercise Set 3.2 - 3.3 Basis and Dimension Exercise Set 3.3 - 3.4 Coordinates and Change of Basis Exercise Set 3.4 - 3.5 Application : Differential Equations Exercise Set 3.5 Review Exercises Chapter Test Chapter 4 Linear Transformations - 4.1 Linear Transformations Exercise Set 4.1 - 4.2 The Null Space and Range Exercise Set 4.2 - 4.3 Isomorphisms Exercise Set 4.3 - 4.4 Matrix Representation of a Linear Transformation Exercise Set 4.4 - 4.5 Similarity Exercise Set 4.5 - 4.6 Application : Computer Graphics Exercise Set 4.6 Review Exercises Chapter Test Chapter 5 Eigenvalues and Eigenvectors - 5.1 Eigenvalues and Eigenvectors Exercise Set 5.1 - 5.2 Diagonalization Exercise Set 5.2 - 5.3 Application : Systems of Linear Different Exercise Set 5.3 - 5.4 Application : Markov Chains Exercise Set 5.4 Review Exercises Chapter Test Chapter 6 Inner Product Spaces - 6.1 The Dot Product on Rn Exercise Set 6.1 - 6.2 Inner Product Spaces Exercise Set 6.2 - 6.3 Orthonormal Bases Exercise Set 6.3 - 6.4 Orthogonal Complements Exercise Set 6.4 - 6.5 Application : Least Squares Approximation Exercise Set 6.5 - 6.6 Diagonalization of Symmetric Matrices Exercise Set 6.6 - 6.7 Application : Quadratic Forms Exercise Set 6.7 - 6.8 Application : Singular Value Decomposition Exercise Set 6.8 Review Exercises Chapter Test A Preliminaries A.1 Algebra of Sets Exercise Set A.1 A.2 Functions Exercise Set A.2 A.3 Techniques of Proof Exercise Set A.3 A.4 Mathematical Induction Exercise Set A.4 Answers to Odd-Numbered Exercises A.3 Techniques of Proof Exercise Set A.3 A.4 Mathematical Induction Exercise Set A.4 Answers to Odd-Numbered Exercises
Synopsis
Linear Algebra with Applications is an introductory text targeted to second or advanced first year undergraduates in engineering or mathematics. The organization of this text is motivated by the authors' experience which tells them what essential concepts should be mastered by students in a one semester undergraduate Linear Algebra course. The authors' main objectives are to fully develop each topic before moving on and to connect topics naturally. The authors take great care to meet both these objectives, because this organization will allow instructors teaching from this text to stay on task so that each topic can be covered with the depth required before progressing to the next logical one. As a result the reader is prepared for each new unit and there is no need to repeat a concept in a subsequent chapter when it is utilized. This text is geared towards an introductory linear algebra course taken by first or second year undergraduate students. However, it offers the opportunity to introduce the importance of abstraction, not only in mathematics, but in many other areas where Linear Algebra is used. The textbook's approach is to take advantage of this opportunity by presenting abstract vector spaces as early as possible. Throughout the text, the authors are mindful of the difficulties that students at this level have with abstraction and introduce new concepts first through examples which gently illustrate the idea. To motivate the definition of an abstract vector space, and the subtle concept of linear independence, the authors use addition and scalar multiplication of vectors in Euclidean Space. The authors have strived to create a balance between computation, problem solving, and abstraction. This approach equips students with the necessary skills and problem solving strategies in an abstract setting that allows for a greater understanding and appreciation for the numerous applications of the subject.
LC Classification Number
QA184.2.D44 2009

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