Comprehensive Mathematics for Computer Scientists 1 Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry (Second Edition) /
This two-volume textbook Comprehensive Mathematics for Computer Scientists is a self-contained comprehensive presentation of mathematics including sets, numbers, graphs, algebra, logic, grammars, machines, linear geometry, calculus, ODEs, and special themes such as neural networks, Fourier theory, w...
| Main Authors: | , , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2006.
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| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- 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 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.
