An easy-to-follow guide to practical, real-world applications of linear algebra Linear 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. Mary Jane Sterling (Peoria, IL) is the author of Algebra For Dummies (978-0-7645-5325-7), Business Math for Dummies (978-0-470-23331-3), and several other books. She has been teaching at Bradley University for almost 30 years.
| ISBN | 0470430907 | | Volumes | 1 | | ISBN13 | 9780470430903
(What's this?) | | Weight (grammes) | 572 | | Publisher | John Wiley and Sons Ltd | | Published in | Chichester | | Imprint | John Wiley & Sons Ltd | | Series title | For Dummies | | Format | Paperback | | Height (mm) | 231 | | Publication date | 07 Jul 2009 | | Width (mm) | 186 | | DEWEY | 512.5 | | Spine width (mm) | 20 | | DEWEY edition | DC22 | | Academic level | Professional / Scholarly | | Pages | 384 | |
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Introduction. Part I: Lining Up the Basics of Linear Algebra. Chapter 1: Putting a Name to Linear Algebra. Chapter 2: The Value of Involving Vectors. Chapter 3: Mastering Matrices and Matrix Algebra. Chapter 4: Getting Systematic with Systems of Equations. Part II: Relating Vectors and Linear Transformations. Chapter 5: Lining Up Linear Combinations. Chapter 6: Investigating the Matrix Equation Ax = b. Chapter 7: Homing In on Homogeneous Systems and Linear Independence. Chapter 8: Making Changes with Linear Transformations. Part III: Evaluating Determinants. Chapter 9: Keeping Things in Order with Permutations. Chapter 10: Evaluating Determinants. Chapter 11: Personalizing the Properties of Determinants. Chapter 12: Taking Advantage of Cramer's Rule. Part IV: Involving Vector Spaces. Chapter 13: Involving Vector Spaces. Chapter 14: Seeking Out Subspaces of Vector Spaces. Chapter 15: Scoring Big with Vector Space Bases. Chapter 16: Eyeing Eigenvalues and Eigenvectors. Part V: The Part of Tens. Chapter 17: Ten Real-World Applications Using Matrices. Chapter 18: Ten (Or So) Linear Algebra Processes You Can Do on Your Calculator. Chapter 19: Ten Mathematical Meanings of Greek Letters. Glossary. Index.
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