Invitation to Linear Algebra
eBook - ePub

Invitation to Linear Algebra

  1. 394 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Invitation to Linear Algebra

Book details
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Table of contents
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About This Book

Invitation to Linear Algebra is an informative, clearly written, flexible textbook for instructors and students.

Based on over 30 years of experience as a mathematics professor, the author invites students to develop a more informed understanding of complex algebraic concepts using innovative, easy-to-follow methods.

The book is organized into lessons rather than chapters. This limits the size of the mathematical morsels that students must digest, making it easier for instructors to budget class time.

Each definition is carefully explained with detailed proofs of key theorems, including motivation for each step. This makes the book more flexible, allowing instructors to choose material that reflects their and their students' interests.

A larger than normal amount of exercises illustrate how linear and nonlinear algebra apply in the students' areas of study.

Features



  • The book's unique lesson format enables students to better understand algebraic concepts



  • Students will learn key elements of linear algebra in an enjoyable fashion



  • Large number of exercises illustrate the applications of the course material



  • Allows instructors to create a course around individual lessons



  • Detailed solutions and hints are provided to selected exercises

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Yes, you can access Invitation to Linear Algebra by David C. Mello in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Chapman and Hall/CRC
Year
2017
ISBN
9781498779586
Edition
1
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics
Unit VIII: Advanced Topics
Lesson 30
Powers of Matrices
Lesson 31
Functions of a Square Matrix
Lesson 32
Matrix Power Series
Lesson 33
Minimal Polynomials
Lesson 34
Direct Sum Decompositions
Lesson 35
Jordan Canonical Form
Image
Marie Ennemond Camille Jordan (1838-1922)
Camille Jordan was an important French mathematician and engineer who made significant contributions to topology, linear algebra, complex analysis, group theory and measure theory. Born in Lyon, he was later trained as an engineer at the famous Ecole Polytechnique. He was appointed as professor of analysis at the Ecole Polytechnique in 1876, and later served as a professor at the College de France in 1883.
In his important work Traitie des substitutions, which first appeared in print in 1870, dealt primarily with permutation groups; however, in Book II of this work, Jordan employed the notions of matrix similarity and the characteristic equation of a matrix to show that any matrix can be transformed into a special, block diagonal form, known today as its Jordan canonical form, or...

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. To the Instructor
  7. To the Student
  8. Unit I: Matrices and Linear Systems
  9. Unit II: Determinants
  10. Unit III: A First Look at Vector Spaces
  11. Unit IV: More About Vector Spaces
  12. Unit V: Linear Transformations
  13. Unit VI: Matrix Diagonalization
  14. Unit VII: Complex Vector Spaces
  15. Unit VIII: Advanced Topics
  16. Unit IX: Applications
  17. Appendix
  18. Solutions and Hints to Selected Exercises
  19. References
  20. Index