Linear Algebra: A Modern Introduction 4th Edition (PDF)

Linear Algebra: A Modern Introduction 4th Edition

Author: David Poole
Release at: 2015
Pages: 722
Edition: 4th Edition
File Size: 22 MB
File Type: PDF
Language: English




Description of Linear Algebra: A Modern Introduction 4th Edition (PDF)

Linear Algebra: A Modern Introduction 4th Edition by David Poole is a great book for algebra Mathemtics available in (eBook) PDF for free download. The fourth edition of Linear Algebra: A Modern Introduction preserves the approach and features that users found to be strengths of the previous editions. However, I have streamlined the text somewhat, added numerous clarifications, and freshened up the exercises. I want students to see linear algebra as an exciting subject and to appreciate its tremendous usefulness. At the same time, I want to help them master the basic concepts and techniques of linear algebra that they will need in other courses, both in mathematics and in other disciplines. I also want students to appreciate the interplay of theoretical, applied, and numerical mathematics that pervades the subject.

This book is designed for use in an introductory one- or two-semester course sequence in linear algebra. First and foremost, it is intended for students, and I have tried my best to write the book so that students not only will find it readable but also will want to read it. As in the first three editions, I have taken into account the reality that students taking introductory linear algebra are likely to come from a variety of disciplines. In addition to mathematics majors, there are apt to be majors from engineering, physics, chemistry, computer science, biology, environmental science, geography, economics, psychology, business, and education, as well as other students taking the course as an elective or to fulfill degree requirements. Accordingly, the book balances theory and applications, is written in a conversational style yet is fully rigorous, and combines a traditional presentation with concern for student-centered learning.

There is no such thing as a universally best learning style. In any class, there will be some students who work well independently and others who work best in groups; some who prefer lecture-based learning and others who thrive in a workshop setting, doing explorations; some who enjoy algebraic manipulations, some who are adept at numerical calculations (with and without a computer), and some who exhibit strong geometric intuition. In this edition, I continue to present material in a variety of ways-algebraically, geometrically, numerically, and verbally-so that all types oflearners can find a path to follow. I have also attempted to present the theoretical, computational, and applied topics in a flexible yet integrated way. In doing so, it is my hope that all students will be exposed to the many sides of linear algebra.




Content of Linear Algebra: A Modern Introduction 4th Edition (PDF)


Chapter 1: Vectors

Chapter 2: Systems of Linear Equations

Chapter 3: Matrices

Chapter 4: Eigenvalues and Eigenvectors

Chapter 5: Orthogonality

Chapter 6: Vector Spaces

Chapter 7: Distance and Approximation

Chapter 8: Codes Online only

APPENDIX A Mathematical Notation and Methods of Proof Al

APPENDIX B Mathematical Induction B 1

APPENDIX C Complex Numbers Cl

APPENDIX D Polynomials D 1

APPENDIX E Technology Bytes Online only

Answers to Selected Odd-Numbered Exercises ANSI

Index

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