This book is an introduction to the language and standard proof techniques of mathematics. It forms a bridge between computational subjects such as calculus and differential equations that students typically encounter in their first year, and more abstract subjects such as topology, analysis, and abstract algebra.
Contents:
- Sets and logic
- Counting and proof methods, including conditional and non-conditional proofs
- Disproving statements
- Induction
- Relations and functions
- Proofs in calculus
- Infinite cardinality
The only requirement is some basic mathematical knowledge; the book is particularly suitable for self-study and as preparation for theoretical subjects.
Language level and target audience: Dutch, suitable for higher education and self-study.
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