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The Art of Proof / Basic Training for Deeper Mathematics / Matthias Beck (u. a.) / Buch / xxi / Englisch / 2010 / Springer US / EAN 9781441970220 - gebunden oder broschiert

2010, ISBN: 9781441970220

[ED: Gebunden], [PU: Springer US], The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with r… Mehr…

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ISBN: 9781441970220

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The Art of Proof: Basic Training for Deeper Mathematics - Taschenbuch

2010

ISBN: 9781441970220

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Matthias Beck, Ross Geoghegan:
The Art of Proof: Basic Training for Deeper Mathematics (Undergraduate Texts in Mathematics) - gebrauchtes Buch

2010, ISBN: 9781441970220

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2010, ISBN: 9781441970220

*The Art of Proof* - Basic Training for Deeper Mathematics. 2010 edition / gebundene Ausgabe für 42.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher, Springer Natu… Mehr…

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Details zum Buch
The Art of Proof
Autor:
Titel:
ISBN-Nummer:

9781441970220


The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.

Detailangaben zum Buch - The Art of Proof


EAN (ISBN-13): 9781441970220
ISBN (ISBN-10): 1441970223
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer Nature Singapore
182 Seiten
Gewicht: 0,563 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-07-16T21:44:33+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-05-09T18:47:29+02:00 (Berlin)
ISBN/EAN: 9781441970220

ISBN - alternative Schreibweisen:
1-4419-7022-3, 978-1-4419-7022-0
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: beck, ross, matthias roß, matthias willing, geog, becker matthias, matthias roser, geoghegan
Titel des Buches: art board, basic mathematics, art getting even, zero art, the art being many, art for all, the art asking, basic training, proof art

Daten vom Verlag:

Autor/in: Matthias Beck
Titel: Undergraduate Texts in Mathematics; The Art of Proof - Basic Training for Deeper Mathematics
Verlag: Springer; Springer US
182 Seiten
Erscheinungsjahr: 2010-08-31
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
43,95 € (DE)

BB; Hardcover, Softcover / Mathematik/Grundlagen; Mathematik: Logik; Verstehen; Cardinal number; Countable set; algebra; cardinality; completeness of R; high-order recursions; integers modulo n; noncomputable numbers; set theory; strong induction; universal quantifiers; well ordering principle; Mathematical Logic and Foundations; Algebra; Analysis; Mathematics; Mathematische Grundlagen; Algebra; Mathematische Analysis, allgemein; Mathematik; EA; BC

is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. Some of the proofs are presented in detail, while others (some with hints) may be assigned to the student or presented by the instructor. The authors recommend that the two parts of the book -- Discrete and Continuous -- be given equal attention. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.
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