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ISBN 10: 3540368736
ISBN 13: 9783540368731
Author: Guerino Mazzola, Gerard Milmeister, Jody Weissmann
Sets, 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 Matrices
Modules and Vector Spaces
Linear Dependence, Bases, and Dimension
Algorithms in Linear Algebra
Linear Geometry
Eigenvalues, the Vector Product, and Quaternions
Second Advanced Topic
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Tags: Guerino Mazzola, Gerard Milmeister, Jody Weissmann, Comprehensive, mathematics
