John Meier: Exploring Mathematics | Buch

Cover: 9781107128989 | Exploring Mathematics | John Meier (u. a.) | Buch | Gebunden | 2019

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Sprache: Englisch

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Beschreibung

Exploring Mathematics gives students experience with doing mathematics - interrogating mathematical claims, exploring definitions, forming conjectures, attempting proofs, and presenting results - and engages them with examples, exercises, and projects that pique their interest. Written with a minimal number of pre-requisites, this text can be used by college students in their first and second years of study, and by independent readers who want an accessible introduction to theoretical mathematics. Core topics include proof techniques, sets, functions, relations, and cardinality, with selected additional topics that provide many possibilities for further exploration. With a problem-based approach to investigating the material, students develop interesting examples and theorems through numerous exercises and projects. In-text exercises, with complete solutions or robust hints included in an appendix, help students explore and master the topics being presented. The end-of-chapter exercises and projects provide students with opportunities to confirm their understanding of core material, learn new concepts, and develop mathematical creativity.

Über den Autor

John Meier is Professor of Mathematics at Lafayette College, Pennsylvania, where he also served as Dean of the Curriculum. His research focuses on geometric group theory and involves algorithmic, combinatorial, geometric and topological issues that arise in the study of infinite groups. In addition to teaching awards from Cornell University, New York, and Lafayette College, Professor Meier is the proud recipient of the James Crawford Teaching Prize from the Eastern Pennsylvania and Delaware section of the Mathematical Association of America.

Inhaltsverzeichnis

1. Let's play!; 2. Discovering and presenting mathematics; 3. Sets; 4. The integers and the fundamental theorem of arithmetic; 5. Functions; 6. Relations; 7. Cardinality; 8. The real numbers; 9. Probability and randomness; 10. Algebra and symmetry; 11. Projects; Appendix A. Solutions, answers, or hints to in-text exercises; Index; Bibilography.

Details

Erscheinungsjahr:	2019
Fachbereich:	Grundlagen
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Gebunden
ISBN-13:	9781107128989
ISBN-10:	1107128986
Sprache:	Englisch
Einband:	Gebunden
Autor:	Meier, John Smith, Derek
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	260 x 183 x 23 mm
Von/Mit:	John Meier (u. a.)
Erscheinungsdatum:	22.03.2019
Gewicht:	0,839 kg