Beschreibung
InhaltsangabeI Sets, Numbers, and Graphs. Fundamentals - Concepts and Logic. Boolean Set Algebra. Functions and Relations. Ordinal and Natural Numbers. Recursion Theorem and Universal Properties. Natural Arithmetic. Infinities. The Classical Number Domains Z;Q;R, and C. Categories of Graphs. Construction of Graphs. Some Special Graphs. Planarity. First Advanced Topic.- II Algebra. Formal Logic, and Linear Geometry. Monoids, Groups, Rings, and Fields. Primes. Formal Propositional Logic. Formal Predicate Logic. Languages, Grammars, and Automata. Modules and Vector Spaces. Linear Dependence, Bases and Dimension. Linear Maps and Matrixes. Algorithms in Linear Algebra. Geometric Algebra. Eigenvalues, Symmetry Groups, and Quaternions. Second Advanced Topic.
Leseprobe
InhaltsangabeSets, Numbers, and Graphs.- Fundamentals-Concepts and Logic.- Axiomatic Set Theory.- Boolean Set Algebra.- Functions and Relations.- Ordinal and Natural Numbers.- Recursion Theorem and Universal Properties.- Natural Arithmetic.- Infinities.- The Classical Number Domains Z, Q, R, and C.- Categories of Graphs.- Construction of Graphs.- Some Special Graphs.- Planarity.- First Advanced Topic.- Algebra, Formal Logic, and Linear Geometry.- Monoids, Groups, Rings, and Fields.- Primes.- Formal Propositional Logic.- Formal Predicate Logic.- Languages, Grammars, and Automata.- Categories of Matrixes.- Modules and Vector Spaces.- Linear Dependence, Bases, and Dimension.- Algorithms in Linear Algebra.- Linear Geometry.- Eigenvalues, the Vector Product, and Quaternions.- Second Advanced Topic.
Inhalt
I Sets, Numbers, and Graphs. Fundamentals - Concepts and Logic. Boolean Set Algebra. Functions and Relations. Ordinal and Natural Numbers. Recursion Theorem and Universal Properties. Natural Arithmetic. Infinities. The Classical Number Domains Z;Q;R, and C. Categories of Graphs. Construction of Graphs. Some Special Graphs. Planarity. First Advanced Topic.- II Algebra. Formal Logic, and Linear Geometry. Monoids, Groups, Rings, and Fields. Primes. Formal Propositional Logic. Formal Predicate Logic. Languages, Grammars, and Automata. Modules and Vector Spaces. Linear Dependence, Bases and Dimension. Linear Maps and Matrixes. Algorithms in Linear Algebra. Geometric Algebra. Eigenvalues, Symmetry Groups, and Quaternions. Second Advanced Topic.
