The Foundations of Mathematics

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9780198706434: The Foundations of Mathematics
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give[s] a very comprehensive overview of the mathematics involved in part of a first year mathematics degree. It would be of most value to tutors and lecturers in encouraging them to think about teaching methodologies and how they might modify them to help students in their thinking of mathematical ideas and their development of a coherent structure of mathematical concepts. ( John Sykes, Maths in School)

Review from previous edition There are many textbooks available for a so-called transition course from calculus to abstract mathematics. I have taught this course several times and always find it problematic. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book. ( The Bulletin of Mathematics Books)

Críticas:

Review from previous edition There are many textbooks available for a so-called transition course from calculus to abstract mathematics. I have taught this course several times and always find it problematic. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book. ( The Bulletin of Mathematics Books)

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1.

Stewart, Ian; David Tall, David Tall
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Cantidad: 5
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GreatBookPrices
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Descripción Estado de conservación: New. Nº de ref. de la librería 21995067-n

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2.

Ian Stewart, David Tall
Editorial: Oxford University Press, United Kingdom (2015)
ISBN 10: 019870643X ISBN 13: 9780198706434
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Descripción Oxford University Press, United Kingdom, 2015. Paperback. Estado de conservación: New. 2nd Revised edition. 214 x 138 mm. Language: English . Brand New Book. 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 concepts, 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. Nº de ref. de la librería AOP9780198706434

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3.

Ian Stewart, David Tall
Editorial: Oxford University Press, United Kingdom (2015)
ISBN 10: 019870643X ISBN 13: 9780198706434
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Descripción Oxford University Press, United Kingdom, 2015. Paperback. Estado de conservación: New. 2nd Revised edition. 214 x 138 mm. Language: English . Brand New Book. 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 concepts, 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. Nº de ref. de la librería AOP9780198706434

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4.

David Tall; Ian Stewart
ISBN 10: 019870643X ISBN 13: 9780198706434
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97801987064340000000

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5.

Ian Stewart, David Tall
Editorial: OUP Oxford 2015-03-12 (2015)
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Cantidad: 3
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Descripción OUP Oxford 2015-03-12, 2015. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-LBR-01505424

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6.

Ian Stewart, David Tall
Editorial: Oxford University Press
ISBN 10: 019870643X ISBN 13: 9780198706434
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THE SAINT BOOKSTORE
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Descripción Oxford University Press. Paperback. Estado de conservación: new. BRAND NEW, The Foundations of Mathematics (2nd Revised edition), Ian Stewart, David Tall, 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 concepts, 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. Nº de ref. de la librería B9780198706434

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7.

Ian Stewart
ISBN 10: 019870643X ISBN 13: 9780198706434
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Ria Christie Collections
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Descripción Paperback. Estado de conservación: New. Not Signed; 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 concepts. book. Nº de ref. de la librería ria9780198706434_rkm

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8.

Stewart, Ian, Tall, David
Editorial: Oxford University Press (2015)
ISBN 10: 019870643X ISBN 13: 9780198706434
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Descripción Oxford University Press, 2015. Estado de conservación: 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. . . . . . Nº de ref. de la librería V9780198706434

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9.

Ian Stewart
Editorial: Oxford University Press
ISBN 10: 019870643X ISBN 13: 9780198706434
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INDOO
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Descripción Oxford University Press. Estado de conservación: New. Brand New. Nº de ref. de la librería 019870643X

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10.

Ian Stewart, David Tall
Editorial: Oxford University Press 2015-03-26, Oxford (2015)
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos paperback Cantidad: 10
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Blackwell's
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Descripción Oxford University Press 2015-03-26, Oxford, 2015. paperback. Estado de conservación: New. Nº de ref. de la librería 9780198706434

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