The manga guide to linear algebra
"Reiji wants two things in life: a black belt in karate and Misa, the girl of his dreams. Luckily, Misa's big brother is the captain of the university karate club and is ready to strike a deal: Reiji can join the club if he tutors Misa in linear algebra. Follow along in The Manga Guide to...
| Основен автор: | Takahashi, Shin. |
|---|---|
| Автор-организации: | Trend-pro Co. |
| Други автори: | Lindh, Fredrik, (Translator), Inoue, Iroha, (Illustrator) |
| Формат: | Електронен |
| Език: | English Japanese |
| Публикувано: |
San Francisco : Tokyo :
No Starch Press ; Ohmsha,
℗♭2012.
|
| Серия: |
Manga guide series.
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| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=539097 |
| Подобни документи: |
Print version::
Manga guide to linear algebra. |
Съдържание:
- 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.