Skip to Main Content
  • Instructor Catalog
  • Instructor Community
  • Student Store
  • CACanada Store
Instructor Catalog Instructor Catalog
    • I'M AN INSTRUCTOR

    • I'M A STUDENT
  • help
  • search
  • minicart
    0
    • CACanada Store

Find what you need to succeed.

search icon
  • Our Story

    Our Story

    back
    • Our Mission
    • Our Leadership
    • Learning Science
    • Sustainability
    • Careers
    • Diversity, Equity, and Inclusion
    • Accessibility
  • Discipline

    Discipline

    back
    • Astronomy Biochemistry Biology Chemistry College Success Communication Economics Electrical Engineering English Environmental Science Geography Geology History Mathematics Music & Theater Nutrition and Health Philosophy & Religion Physics Psychology Sociology Statistics Value
  • Digital

    Digital

    back
    • Digital Offerings
    • Achieve
    • LaunchPad
    • E-books
    • iOLab
    • iClicker
    • Inclusive Access
    • Lab Solutions
    • LMS Integration
    • Curriculum Solutions
    • Training and Demos
    • First Day of Class
  • Solutions

    Solutions

    back
    • Administrators
    • Affordable Solutions
    • Badging & Certification
    • iClicker and Your Content
    • Lab Solutions
    • Student Store
    • TradeUp
  • News & Media

    News & Media

    back
    • News & Media
  • Contact Us

    Contact Us

    back
    • Contact Us & FAQs
    • Find Your Rep
    • Training and Demos
    • First Day of Class
    • Booksellers
    • Macmillan International Support
    • International Translation Rights
    • Request Permissions
    • Report Piracy
  1. Home
  2. Mathematics
  3. Linear Algebra
  • About
  • Preview
  • Contents
  • Authors
Linear Algebra by Ted Shifrin; Malcolm Adams - Second Edition, 2011 from Macmillan Student Store
Find Your Rep

Linear Algebra

A Geometric ApproachSecond Edition| ©2011 Ted Shifrin; Malcolm Adams

Linear Algebra: A Geometric Approach, Second Edition, presents the standard computational aspects of linear algebra and includes a variety of intriguing interesting applications that would be interesting to motivate science and engineering students, as well as help mathematics students make t...
Linear Algebra: A Geometric Approach, Second Edition, presents the standard computational aspects of linear algebra and includes a variety of intriguing interesting applications that would be interesting to motivate science and engineering students, as well as help mathematics students make the transition to more abstract advanced courses. The text guides students on how to think about mathematical concepts and write rigorous mathematical arguments.
Read more
Students - Buy or Rent

  • Format
Hardcover from $63.99

ISBN:9781429215213

Read and study old-school with our bound texts.

Retail:$63.99

Rent until 07/03/2023

Retail:$75.99

Rent until 08/12/2023

Retail:$90.99

Rent until 10/01/2023

Retail:$145.99

Rent until 03/29/2024

Retail:$304.99 Wholesale:$243.78


Home Features New to This Edition
Linear Algebra by Ted Shifrin; Malcolm Adams - Second Edition, 2011 from Macmillan Student Store

Linear Algebra: A Geometric Approach, Second Edition, presents the standard computational aspects of linear algebra and includes a variety of intriguing interesting applications that would be interesting to motivate science and engineering students, as well as help mathematics students make the transition to more abstract advanced courses. The text guides students on how to think about mathematical concepts and write rigorous mathematical arguments.

Features

Geometry is introduced early, using vector algebra to do analytic geometry in the first section and dot product in the second.

Concepts and understanding is emphasized, doing proofs in text and providing plenty of exercises. To aid the student in adjusting to the mathematical rigor, blue boxes are provided which discuss matters of logic and proof technique or advice on formulating problem-solving strategies.

Rotations, reflections, and projections are used as a first brush with the notion of linear transformation when introducing matrix multiplication.  Linear transformations are then treated in concert with the discussion of projections.  Thus, the change-of-basis formula is motivated by starting with a coordinate system in which a geometrically defined linear transformation is clearly understood and asking for its standard matrix.

Orthogonal complements are emphasized, with their role in finding a homogenous system of linear equations that defines a given subspace of Rn.

New to This Edition

20% NEW exercises have been added throughout the text to reinforce key concepts and give students practice in computation.
 
Chapters have been updated, including:
New to Chapter 1, Vectors and Matrices: new proof reasoning examples.
New to Chapter 2, Matrix Algebra: new sections on Linear Transformations and Elementary Matrices.
New to Chapter 3, Vector Spaces: streamlined treatment of four fundamental subspaces and clarified coverage of linear independence and basis.
Updated and reorganized Chapters 4, Projections and Linear Transformations, and 5, Determinants with improved clarity in the coverage of Change of Basis and the geometric material.
 
Stronger emphasis throughout on key concepts and understanding, through new proofs and a variety of text exercises.

New Blue Boxes, integrated throughout the text, discuss matters of logic and proof techniques or advice on formulating problem-solving strategies to aid the student in adjusting to the mathematical rigor.
Linear Algebra by Ted Shifrin; Malcolm Adams - Second Edition, 2011 from Macmillan Student Store

Linear Algebra

Second Edition| ©2011

Ted Shifrin; Malcolm Adams

Digital Options

Linear Algebra by Ted Shifrin; Malcolm Adams - Second Edition, 2011 from Macmillan Student Store

Linear Algebra

Second Edition| 2011

Ted Shifrin; Malcolm Adams

Table of Contents

 
Preface
Foreword to the Instructor
Foreword to the Student
 
Chapter 1. Vectors and Matrices
1. Vectors
2. Dot Product
3. Hyperplanes in Rn
4. Systems of Linear Equations and Gaussian Elimination
5. The Theory of Linear Systems
6. Some Applications
 
Chapter 2.  Matrix Algebra
1. Matrix Operations
2. Linear Transformations: An Introduction
3. Inverse Matrices
4. Elementary Matrices: Rows get Equal Time
5. The Transpose
 
Chapter 3. Vector Spaces
1. Subspaces of  Rn
2. The Four Fundamental Subspaces
3. Linear Independence and Basis
4. Dimension and Its Consequences
5. A Graphic Example
6. Abstract Vector Spaces
 
Chapter 4. Projections and Linear Transformations
1. Inconsistent Systems and Projection
2. Orthogonal Bases
3. The Matrix of a Linear Transformation and the Change-of-Basis Formula
4. Linear Transformations on Abstract Vector Spaces
 
Chapter 5. Determinants
1. Properties of Determinants
2. Cofactors and Cramer’s Rule
3. Signed Area in R2 and Signed Volume in R2
 
Chapter 6. Eigenvalues and Eigenvectors
1. The Characteristic Polynomial
2. Diagonalizability
3. Applications
4. The Spectral Theorem
 
Chapter 7. Further Topics
1. Complex Eigenvalues and Jordan Canonical Form
2. Computer Graphics and Geometry
3. Matrix Exponentials and Differential Equations
 
For Further Reading
Answers to Selected Exercises
List of Blue Boxes
Index
Linear Algebra by Ted Shifrin; Malcolm Adams - Second Edition, 2011 from Macmillan Student Store

Linear Algebra

Second Edition| 2011

Ted Shifrin; Malcolm Adams

Find Your Rep

Authors

Ted Shifrin

Theodore Shifrin is a Professor of Mathematics and the Associate Head of the Mathematics Department at the University of Georgia. There, he has won multiple awards for teaching, including the Lothar Tresp Outstandin g Honors Professor Award in 2002 and 2010, as well as the Honoratus Medal in 1992. Professor Shifrin was one of  five receipients of the University of Georgia's 1997 Josiah Meigs Award for Excellence in Teaching, and in 2000 he was given the Southeastern MAA Award for Distinguished College or University Teaching of Mathematics. In addition to Linear Algebra: A Geometric Approach, Professor Shifrin has published the textbooks Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds and Abstract Algebra: A Geometric Approach, and he has also authored the Differential Geometry: A First Course in Curves and Surfaces, a free, online text that is widely used all over the world. His research interests and publications have focused on integral geometry and complex algebraic geometry.


Malcolm Adams

Malcolm Adams is a Professor of Mathematics and the Mathematics Department Head at the University of Georgia, where he also held the General Sandy Beaver Teaching Professorship from 2005-2008. He received is B.A. in Mathematics and Physics from the University of Oregon in 1978, and he earned his PhD in Mathematics from the Massachusetts Institute of Technology in 1982. Professor Adams's research interests focus on differential equations, especially in applications to biology and physics, and he has published another textbook, Measure Theory and Probability, with Victor Guillemin. Outside of the university, he enjoys running, traveling, and hiking with his wife and three children.

Linear Algebra by Ted Shifrin; Malcolm Adams - Second Edition, 2011 from Macmillan Student Store

Linear Algebra

Second Edition| 2011

Ted Shifrin; Malcolm Adams

Related Titles

Available Demos

Select a demo to view:

Achieve icon Sample Achieve

We are happy to offer free Achieve access in addition to the
physical sample you have selected. Sample this version now as
opposed to waiting for the physical edition.

We are happy to offer free Achieve access in
addition to the physical sample you have
selected. Sample this version now as opposed to
waiting for the physical edition.

Learn more about Achieve
  • Privacy Notice
  • //
  • Ads & Cookies
  • //
  • Terms of Use
  • //
  • Piracy
  • //
  • Accessibility
  • //
  • Code of Conduct
  • //
  • Site Map
  • //
  • Customer Support
  • Macmillan Learning Facebook icon
  • Macmillan Learning Twitter icon
  • Macmillan Learning Youtube icon
  • Macmillan Learning Linkedin icon
  • Macmillan Learning Instagram icon
We are processing your request. Please wait...