Linear Algebra For Dummies

AvMary Jane Sterling

Häftad, Engelska, 2009

186 kr

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Beskrivning

An easy-to-follow guide to practical, real-world applications of linear algebraLinear algebra is a branch of mathematics that uses matrices to solve systems of linear equations; it has applications in many disciplines, from sociology and game theory to computer programming, engineering, and business. Linear Algebra For Dummies maps to a typical, college-level linear algebra course, in which students first study matrices and matrix operations, then apply those fundamentals to abstract topics such as vector spaces, linear transformations, determinants, and, finally, eigenvalues and eigenvectors. It gives students theoretical and practical ways of approaching various types of problems, presenting the information in a way that allows readers to fully digest not just the how of solving linear algebraic problems, but also the why.

Produktinformation

Utgivningsdatum:2009-07-07
Mått:185 x 231 x 25 mm
Vikt:499 g
Format:Häftad
Språk:Engelska
Antal sidor:384
Förlag:John Wiley & Sons Inc
ISBN:9780470430903

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Mer om författaren

Mary Jane Sterling is the author of numerous For Dummies books. She is a lecturer at Bradley University in Peoria, Illinois, where she has taught courses in algebra, calculus, and other mathematics topics for almost 30 years.

Innehållsförteckning

Introduction 1Part I: Lining Up the Basics of Linear Algebra 7Chapter 1: Putting a Name to Linear Algebra 9Chapter 2: The Value of Involving Vectors 19Chapter 3: Mastering Matrices and Matrix Algebra 41Chapter 4: Getting Systematic with Systems of Equations 65Part II: Relating Vectors and Linear Transformations 85Chapter 5: Lining Up Linear Combinations 87Chapter 6: Investigating the Matrix Equation Ax = b 105Chapter 7: Homing In on Homogeneous Systems and Linear Independence 123Chapter 8: Making Changes with Linear Transformations 147Part III: Evaluating Determinants 173Chapter 9: Keeping Things in Order with Permutations 175Chapter 10: Evaluating Determinants 185Chapter 11: Personalizing the Properties of Determinants 201Chapter 12: Taking Advantage of Cramer's Rule 223Part IV: Involving Vector Spaces 239Chapter 13: Involving Vector Spaces 241Chapter 14: Seeking Out Subspaces of Vector Spaces 255Chapter 15: Scoring Big with Vector Space Bases 273Chapter 16: Eyeing Eigenvalues and Eigenvectors 289Part V: The Part of Tens 309Chapter 17: Ten Real-World Applications Using Matrices 311Chapter 18: Ten (Or So) Linear Algebra Processes You Can Do on Your Calculator 327Chapter 19: Ten Mathematical Meanings of Greek Letters 339Glossary 343Index 351