Conjecture and proof / Miklós Laczkovich.

Format:

Book

Author/Creator:

Laczkovich, Miklós, author.

Series:

Classroom resource materials

Classroom Resource Materials, v. 15

Language:

English

Subjects (All):

Proof theory.

Physical Description:

1 online resource (118 pages)

Place of Publication:

Washington, DC : Mathematical Association of America, c2001.

System Details:

Mode of access : World Wide Web

Contents:

Part I. Proofs of Impossibility, Proofs of Nonexistence 1. Proofs of Irrationality 2. The Elements of the Theory of Geometric Constructions 3. Constructible Regular Polygons 4. Some Basic Facts About Linear Spaces and Fields 5. Algebraic and Transcendental Numbers 6. Cauchy's Functional Equation 7. Geometric Decompositions Part II. Constructions, Proofs of Existence 8. The Pigeonhole Principle 9. Liouville Numbers 10. Countable and Uncountable Sets 11. Isometries of $\mathbf {R}^n$ 12. The Problem of Invariant Measures 13. The Banach-Tarski Paradox 14. Open and Closed Sets in $\mathbf {R}$. The Cantor Set 15. The Peano Curve 16. Borel Sets 17. The Diagonal Method

Notes:

Includes index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Laczkovich, Miklós. Conjecture and proof /

ISBN:

9781470458324 (online)

Access Restriction:

Restricted for use by site license.