The Art of Proof. Basic Training for Deeper Mathematics. Undergraduate Texts in Mathematics. [Editorial Board: S. Axler, K.A. Ribet]

Beck, Matthias and Ross Geoghegan:

Editorial: New York: Springer,, 2010
ISBN 10: 1441970223 / ISBN 13: 9781441970220
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XXII, 182 S. : 23 s/w-Ill., 3 s/w-Tab. Tadellos. Nahezu ohne Gebrauchsspuren. - 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. 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 (Verlagstext). ISBN 9781441970220 Wir versenden am Tag der Bestellung von Montag bis Freitag. Sprache: Englisch Gewicht in Gramm: 550 Fadengehefteter Originalpappband. N° de ref. de la librería

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Sinopsis: 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.

About the Author:

Matthias Beck received his initial training in mathematics in Würzburg, Germany, received his Ph.D. in mathematics from Temple University, and is now associate professor of mathematics at San Francisco State University. He is the recipient of the 2013 MAA Haimo Award for Distinguished College or University Teaching of Mathematics. He is the author of a previously published Springer book, Computing the Continuous Discretely (with Sinai Robins).

Ross Geoghegan received his initial training in mathematics in Dublin, Ireland, received his Ph.D. in mathematics from Cornell University, and is now professor of mathematics at the State University of New York at Binghamton. He is the author of a previously published Springer book, Topological Methods in Group Theory.

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Detalles bibliográficos

Título: The Art of Proof. Basic Training for Deeper ...
Editorial: New York: Springer,
Año de publicación: 2010
Condición del libro: Sehr gut
Edición: 1. Edition.

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Matthias Beck; Ross Geoghegan
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ISBN 10: 1441970223 ISBN 13: 9781441970220
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Descripción Springer, 2010. Hardcover. Estado de conservación: Used: Good. This item is printed on demand. Nº de ref. de la librería SONG1441970223

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Descripción Springer-Verlag New York Inc., 2010. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9781441970220

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Descripción Springer-Verlag New York Inc., 2010. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9781441970220

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Descripción Springer-Verlag New York Inc., United States, 2010. Hardback. Estado de conservación: New. 2010 ed.. Language: English . Brand New Book. 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. Nº de ref. de la librería SPR9781441970220

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Descripción Springer-Verlag New York Inc., United States, 2010. Hardback. Estado de conservación: New. 2010 ed.. Language: English . Brand New Book. 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. Nº de ref. de la librería SPR9781441970220

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Descripción Springer New York 2010-08-31, New York |London, 2010. hardback. Estado de conservación: New. Nº de ref. de la librería 9781441970220

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Descripción Estado de conservación: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería POD_9781441970220

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Descripción Springer, 2010. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería M1441970223

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Descripción Springer Verlag, 2010. Hardcover. Estado de conservación: Brand New. 182 pages. 10.50x7.50x0.50 inches. In Stock. Nº de ref. de la librería z-1441970223

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Descripción Springer-Verlag New York Inc. Hardback. Estado de conservación: new. BRAND NEW, The Art of Proof: Basic Training for Deeper Mathematics, Nicole Clark, Matthias Beck, Ross Geoghegan, 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. Nº de ref. de la librería B9781441970220

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