Linear Algebra with Applications 5/e (絕)
- 20本以上，享 8.5折
售價
$
洽詢
- 一般書籍
- ISBN：9780071253536
- 作者：Keith Nicholson
- 版次：5
- 年份：2006
- 出版商：McGraw-Hill
- 頁數/規格：532頁
書籍介紹
本書特色
目錄
Description
W. Keith Nicholson's Linear Algebra with Applications, Fifth Edition is written for first and second year students at both the college or university level. Its real world approach challenges students step-by-step, gradually bringing them to a higher level of understanding from abstract to more general concepts. Real world applications have been added to the new edition, including: Directed graphs Google PageRank Computer graphics Correlation and Variance Finite Fields and Linear Codes In addition to the new applications, the author offers several new exercises and examples throughout each chapter. Some new examples include: motivating matrix multiplication (Chapter 2) a new way to expand a linearly independent set to a basis using an existing basis While some instructors will use the text for one semester, ending at Chapter 5 The Vector Space Rn others will continue with more abstract concepts being introduced. Chapter 5 prepares students for the transition, acting as the "bridging" chapter, allowing challenging concepts like subspaces, spanning, independence and dimension to be assimilated first in the concrete context of Rn. This "bridging" concept eases students into the introduction of vector spaces in Chapter 6.
W. Keith Nicholson's Linear Algebra with Applications, Fifth Edition is written for first and second year students at both the college or university level. Its real world approach challenges students step-by-step, gradually bringing them to a higher level of understanding from abstract to more general concepts. Real world applications have been added to the new edition, including: Directed graphs Google PageRank Computer graphics Correlation and Variance Finite Fields and Linear Codes In addition to the new applications, the author offers several new exercises and examples throughout each chapter. Some new examples include: motivating matrix multiplication (Chapter 2) a new way to expand a linearly independent set to a basis using an existing basis While some instructors will use the text for one semester, ending at Chapter 5 The Vector Space Rn others will continue with more abstract concepts being introduced. Chapter 5 prepares students for the transition, acting as the "bridging" chapter, allowing challenging concepts like subspaces, spanning, independence and dimension to be assimilated first in the concrete context of Rn. This "bridging" concept eases students into the introduction of vector spaces in Chapter 6.
Features
- Chapter Introductions- Each chapter begins with an introductory paragraph explaining the chapter outline / objectives.
- Reorganization- Material from Chapters 7 and 8 have been switched around entirely so that Chapter 6 Vector Spaces is followed immediately with Chapter 7 Linear Transformations and Orthogonality is covered in Chapter 8.
- New Chapter- A new chapter has been dedicated to cover Change of Basis (this is the new Chatter 9). Inner Product Spaces is now covered in Chapter 10.
- Section Dependency Diagram- Improved diagram explaining the flow of how material in the text can be presented in different sequences.
- Applications- New applications have been added, offering a more "real life" approach for students.
- Exercises and Examples- Many new examples expose students to lengthier discussions of material and the added exercises challenge the students. Together the added exercises and examples offer the students a more rigorous yet assessable text than the competition.
- Proofs- Many new proofs have been added to this edition, falling immediately after theorems, while the new Appendix B shows students how to write a proof.
- Images of famous mathematicians- This new feature helps to show students when certain results were developed and that they were developed by real people. It offers some history about the subject, how it evolved, and information about the mathematicians that developed it.
Table of Contents
Chapter 1 Systems of Linear Equations
Chapter 2 Matrix Algebra
Chapter 3 Determinants and Diagonalization
Chapter 4 Vector Geometry
Chapter 5 The Vector Space Rn
Chapter 6 Vector Spaces
Chapter 7 Linear Transformations
Chapter 8 Orthogonality
Chapter 9 Change of Basis
Chapter 10 Inner Product Spaces
Chapter 1 Systems of Linear Equations
Chapter 2 Matrix Algebra
Chapter 3 Determinants and Diagonalization
Chapter 4 Vector Geometry
Chapter 5 The Vector Space Rn
Chapter 6 Vector Spaces
Chapter 7 Linear Transformations
Chapter 8 Orthogonality
Chapter 9 Change of Basis
Chapter 10 Inner Product Spaces
