| Description |
ix, 247 p. : ill. ; 25 cm. |
| Series |
Manga guide series |
|
Manga guide series.
|
| Note |
Includes index. |
| Contents |
1. What is linear algebra? -- Overview of linear algebra -- 2. The fundamentals -- Number systems -- Implication and equivalence -- Propositions -- 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 matrices -- Symmetric 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 -- 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 transformations -- what is a linear transformation? -- Why we study linear transformations -- Special transformations -- Scaling -- Rotation -- Translation -- 3-D projection -- 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. |
| Summary |
"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 Linear Algebra as Reiji takes Misa from the absolute basics of this tricky subject through mind-bending operations like performing linear transformations, calculating determinants, and finding eigenvectors and eigenvalues. With memorable examples like miniature golf games and karate tournaments, Reiji transforms abstract concepts into something concrete, understandable, and even fun. As you follow Misa through her linear algebra crash course, you'll learn about: Basic vector and matrix operations such as addition, subtraction, and multiplication; Linear dependence, independence, and bases; Using Gaussian elimination to calculate inverse matrices; Subspaces, dimension, and linear span; Practical applications of linear algebra in fields like computer graphics, cryptography, and engineering. But Misa's brother may get more than he bargained for as sparks start to fly between student and tutor. Will Reiji end up with the girl--or just a pummeling from her oversized brother? Real math, real romance, and real action come together like never before in The Manga Guide to Linear Algebra"-- Provided by publisher. |
| Language |
Translated from the Japanese. |
| Subject |
Algebras, Linear -- Comic books, strips, etc.
|
| Genre/Form |
Graphic novels.
|
|
Graphic novels -- United States.
|
|
Graphic novels -- Japan.
|
| Added Author |
Inoue, Iroha.
|
|
Trend-pro Co.
|
| ISBN |
9781593274139 (pbk.) |
|
1593274130 (pbk.) |
|
