Linear Algebra with Applications 7th International Student Edition
This textbook is an introduction to the ideals and techniques of linear algebra for first- or second-year students with a working knowledge of high school algebra. The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1-4 contain a one-semester course for beginners whereas Chapter 5-9 contain a second semester course. The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (review in Appendix A). Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. Calculus is not a prerequisite; places where it is mentioned may by omitted.
As a rule, students of linear algebra learn by studying examples and solving problems. Accordingly, the book contains a variety of exercises (over 1200, many with multiple parts), ordered as to their difficulty. In addition, more than 375 solved examples are included in the text, many of which are computational in nature.
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Table of Contents
- Chapter 1. Introduction to Vectors
- Chapter 2. Solving Linear Equations
- Chapter 3. Vector Spaces and Subspaces
- Chapter 4. Orthogonality
- Chapter 5. Determinants
- Chapter 6. Eigenvalues and Eigenvectors
- Chapter 7. Linear Transformations
- Chapter 8. Applications
- Chapter 9. Numerical Linear Algebra
- Chapter 10. Complex Vectors and Matrices
By combining algebraic and graphical approaches with practical business and personal finance applications, South-Western’s “Financial Algebra, motivates high school students to explore algebraic thinking patterns and functions in a financial context. “Financial Algebra” will help your students achieve success by offering an applications based learning approach incorporating Algebra I, Algebra II, and Geometry topics. Authors Robert Gerver and Richard Sgroi have spent their 25 plus year-careers teaching students of all ability levels and they have found the most success when math is connected to the real world. “Financial Algebra” encourages students to be actively involved in applying mathematical ideas to their everyday live – credit, banking insurance, the stock market, independent living and more.
About the Author
Richard Sgroi is a well-known mathematics teacher, author, and speaker at mathematics conferences throughout the U.S. Dr. Sgroi received his Ph.D. from New York University. Over the course of their 25-year careers, Gerver and Sgroi have developed teaching methods to unmask the mystery of mathematics with applications to music, business, finance, and practical living skills. Together they authored Sound Foundations: A Mathematics Simulation, which received recognition from the U.S. Department of Education’s Program Effectiveness Panel and was included in the publication, Educational Programs that Work. Robert Gerver is a well-known mathematics teacher, author, and speaker at mathematics conferences throughout the U.S. Robert Gerver received his undergraduate degree from Queens College of the City University of New York where he was elected to Phi Beta Kappa. He received his Ph.D. from New York University. Dr. Gerver has received the Presidential Award for Excellence in Mathematics Teaching for New York state.
For courses in linear algebra. With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students’ understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand. MyMathLab not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information. MyMathLab is an online homework, tutorial, and assessment product designed to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.
Kaufmann and Schwitters have built this text’s reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses. Algebraic ideas are developed in a logical sequence, and in an easy-to-read manner, without excessive vocabulary and formalism. The open and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad range of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life. The text’s resource package–anchored by Enhanced WebAssign, an online homework management tool–saves instructors time while also providing additional help and skill-building practice for students outside of class.
About the Author
Jerome E. Kaufmann received his Ed.D. in Mathematics Education from the University of Virginia. Now a retired Professor of Mathematics from Western Illinois University, he has more than 30 years of teaching experience at the high school, two-year, and four-year college levels. He is the author of 45 college mathematics textbooks.
Karen L. Schwitters graduated from the University of Wisconsin with a B.S. in Mathematics. She earned an M.S. Ed. in Professional Secondary Education from Northern Illinois University. Schwitters is currently teaching at Seminole Community College in Sanford, Florida, where she is very active in multimedia instruction and is involved in planning distance learning courses with multimedia materials. She is an advocate for Enhanced WebAssign and uses it in her classroom. In 1998, she received the Innovative Excellence in Teaching, Learning, and Technology Award.