Studying Mathematics The Beauty, the Toil and the Method /
| Main Authors: | , |
|---|---|
| Institution som forfatter: | |
| Summary: | XVII, 398 p. 140 illus., 11 illus. in color. text |
| Sprog: | engelsk |
| Udgivet: |
Cham :
Springer International Publishing : Imprint: Springer,
2018.
|
| Udgivelse: | 1st ed. 2018. |
| Fag: | |
| Online adgang: | https://doi.org/10.1007/978-3-319-91355-1 |
| Format: | Electronisk Bog |
Indholdsfortegnelse:
- Part 1. The Language of Mathematics
- A Few Ambiguities of Everyday Language
- To represent by Sets
- Propositions and Properties
- Proofs, Implications and Counterexamples
- Negations and Indirect Proofs
- Formulae and Indices
- Saturation of Indices and Syntactic Consistency of a Formula
- Induction and Natural Numbers
- Part 2. The Study of a Mathematical Book
- To Read a Definition
- To Understand, i.e. to Know How to Reuse
- To Learn How to Correct
- To Sift the Ideas
- To Understand, i.e. to Know How to Explain
- Part 3. Pages and Ideas
- Majorizations
- Uniqueness Proofs (Level B)
- Functions and Set Theoretic Arguments
- Tiles, Polyhedra, Characterizations
- Index. .