The Manga Guide to Linear Algebra
The latest addition to No Starch Press's bestselling Manga Guide series, The Manga Guide to Linear Algebra , uses Japanese comics, clear explanations, and a charming storyline to explain the essentials of linear algebra. Linear algebra is a required course for all technical majors (including co...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
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San Francisco :
No Starch Press
2012.
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| Edición: | 1st edition |
| Colección: | Manga guide series
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| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009628471606719 |
Tabla de Contenidos:
- Preface; Prologue: Let the Training Begin!; 1: What Is Linear Algebra?; An Overview of Linear Algebra; 2: The Fundamentals; Number Systems; Implication and Equivalence; Propositions; Implication; Equivalence; Set Theory; Sets; Set Symbols; Subsets; Functions; Images; Domain and Range; Onto and One-to-One Functions; Inverse Functions; Linear Transformations; Combinations and Permutations; Not All "Rules for Ordering" Are Functions; 3: Intro to Matrices; What Is a Matrix?; Matrix Calculations; Addition; Subtraction; Scalar Multiplication; Matrix Multiplication; Special Matrices; Zero Matrices
- Transpose MatricesSymmetric Matrices; Upper Triangular and Lower Triangular Matrices; Diagonal Matrices; Identity Matrices; 4: More Matrices; Inverse Matrices; Calculating Inverse Matrices; Determinants; Calculating Determinants; Calculating Inverse Matrices Using Cofactors; Mij; Cij; Calculating Inverse Matrices; Using Determinants; Solving Linear Systems with Cramer's Rule; 5: Introduction to Vectors; What Are Vectors?; Vector Calculations; Geometric Interpretations; 6: More Vectors; Linear Independence; Bases; Dimension; Subspaces; Basis and Dimension; Coordinates
- 7: Linear TransformationsWhat Is a Linear Transformation?; Why We Study Linear Transformations; Special Transformations; Scaling; Rotation; Translation; 3-D Projection; Some Preliminary Tips; Kernel, Image, and the Dimension Theorem for Linear Transformations; Rank; Calculating the Rank of a Matrix; The Relationship Between Linear Transformations and Matrices; 8: Eigenvalues and Eigenvectors; What Are Eigenvalues and Eigenvectors?; Calculating Eigenvalues and Eigenvectors; Calculating the pth Power of an nxn Matrix; Multiplicity and Diagonalization
- A Diagonalizable Matrix with an Eigenvalue Having Multiplicity 2A Non-Diagonalizable Matrix with a Real Eigenvalue Having Multiplicity 2; Epilogue; Online Resources; The Appendixes; Updates; Index
