9780198706434 - the foundations of mathematics von stewart, ian (17 Ergebnisse)
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Sprache: Englisch
Verlag: Oxford University Press, United Kingdom, Oxford, 2015
- Softcover
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Paperback. Zustand: Very Good. The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concept…s, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged.
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Zustand: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9780198706434.
- Softcover
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- Softcover
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Paperback. Zustand: Brand New. 2nd edition. 391 pages. 8.00x5.25x0.75 inches. In Stock.
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Zustand: New. The transition from school to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. This…book bridges the divide. Num Pages: 416 pages, 113 b/w line drawings. BIC Classification: PBC. Category: (UU) Undergraduate. Dimension: 218 x 138 x 25. Weight in Grams: 506. . 2015. 2nd Edition. Paperback. . . . . Books ship from the US and Ireland.
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Paperback. Zustand: Brand New. 2nd edition. 391 pages. 8.00x5.25x0.75 inches. In Stock.
- Softcover
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Zustand: New. The transition from school to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract .
- Softcover
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Taschenbuch. Zustand: Neu. Neuware - The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general c…oncepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas.This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.
- Softcover
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Taschenbuch. Zustand: Neu. The Foundations of Mathematics | David Tall (u. a.) | Taschenbuch | Kartoniert / Broschiert | Englisch | 2015 | Oxford University Press | EAN 9780198706434 | Verantwortliche Person für die EU: Deutsche Bibelgesellschaft, Postfach:81 03 40, 70567 Stuttgart, vertrieb[at]dbg[dot]de | Anbieter: preigu.
