The Foundations of Mathematics

4,07 valoración promedio
( 27 valoraciones por Goodreads )
 
9780198706434: The Foundations of Mathematics

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

About the Author:


Ian Stewart, Emeritus Professor, University of Warwick,David Tall, Emeritus Professor, University of Warwick

Ian Stewart is Emeritus Professor of Mathematics at the University of Warwick. He remains an active research mathematician and is a Fellow of the Royal Society. Famed for his popular science writing and broadcasting, for which he is the recipient of numerous awards, his bestselling books include: Does God Play Dice?, Nature's Numbers, and Professor Stewart's Cabinet of Mathematical Curiosities. He also co-authored The Science of Discworld series with Terry Pratchett and Jack Cohen

David Tall is Emeritus Professor of Mathematical Thinking at the University of Warwick. Internationally known for his contributions to mathematics education, his most recent book is How Humans Learn to Think Mathematically (2013).

Review:


"In their writing of Foundations of Mathematics, the authors motivate, encourage and teach their readers. If I were to offer a future course in foundations, I would certainly use this book and highly recommend it to others, both as a reference and as a text." --Frank Swetz, MAA Reviews


"The writing is both rigorous and thorough, and the authors use compact presentations to support their explanations and proofs. Highly recommended." --CHOICE


"Sobre este título" puede pertenecer a otra edición de este libro.

Comprar nuevo Ver libro

Gastos de envío: EUR 1,06
De Reino Unido a Estados Unidos de America

Destinos, gastos y plazos de envío

Añadir al carrito

Los mejores resultados en AbeBooks

1.

Tall, David, Stewart, Ian
Editorial: OUP Oxford (2015)
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Paperback Cantidad: > 20
Librería
The Monster Bookshop
(Fleckney, Reino Unido)
Valoración
[?]

Descripción OUP Oxford, 2015. Paperback. Estado de conservación: New. BRAND NEW ** SUPER FAST SHIPPING FROM UK WAREHOUSE ** 30 DAY MONEY BACK GUARANTEE. Nº de ref. de la librería mon0001471783

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 13,76
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 1,06
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

2.

Ian Stewart
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Cantidad: 3
Librería
Books_Universe
(Sugarland, TX, Estados Unidos de America)
Valoración
[?]

Descripción Estado de conservación: New. Brand New. US Edition Book. We do not ship to Military Addresses. Fast Shipping with Order Tracking. For Standard Shipping 7-8 business days & Expedite Shipping 4-6 business days, after shipping. Nº de ref. de la librería 019870643X-RMX

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 15,25
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
A Estados Unidos de America
Destinos, gastos y plazos de envío

3.

Ian Stewart, David Tall
Editorial: Oxford University Press, United Kingdom (2015)
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Paperback Cantidad: 10
Librería
The Book Depository
(London, Reino Unido)
Valoración
[?]

Descripción Oxford University Press, United Kingdom, 2015. Paperback. Estado de conservación: New. 2nd Revised edition. 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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 17,14
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

4.

Ian Stewart, David Tall
Editorial: Oxford University Press, United Kingdom (2015)
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Paperback Cantidad: 10
Librería
The Book Depository US
(London, Reino Unido)
Valoración
[?]

Descripción Oxford University Press, United Kingdom, 2015. Paperback. Estado de conservación: New. 2nd Revised edition. 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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 17,23
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

5.

Stewart, Ian; David Tall, David Tall
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Cantidad: 5
Librería
GreatBookPrices
(Columbia, MD, Estados Unidos de America)
Valoración
[?]

Descripción Estado de conservación: New. Nº de ref. de la librería 21995067-n

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 15,03
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 2,26
A Estados Unidos de America
Destinos, gastos y plazos de envío

6.

Ian Stewart; David Tall
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Cantidad: > 20
Librería
BWB
(Valley Stream, NY, Estados Unidos de America)
Valoración
[?]

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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 18,99
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
A Estados Unidos de America
Destinos, gastos y plazos de envío

7.

Ian Stewart, David Tall
Editorial: OUP Oxford 2015-03-12 (2015)
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Paperback Cantidad: 5
Librería
Chiron Media
(Wallingford, Reino Unido)
Valoración
[?]

Descripción OUP Oxford 2015-03-12, 2015. Paperback. Estado de conservación: New. Nº de ref. de la librería NU-GRD-05185664

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 15,92
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,33
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

8.

Ian Stewart, David Tall
Editorial: OUP Oxford 2015-03-12, Oxford (2015)
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos paperback Cantidad: > 20
Librería
Blackwell's
(Oxford, OX, Reino Unido)
Valoración
[?]

Descripción OUP Oxford 2015-03-12, Oxford, 2015. paperback. Estado de conservación: New. Nº de ref. de la librería 9780198706434

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 17,20
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,34
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

9.

Ian Stewart
Editorial: Oxford University Press
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Cantidad: > 20
Librería
INDOO
(Avenel, NJ, Estados Unidos de America)
Valoración
[?]

Descripción Oxford University Press. Estado de conservación: New. Brand New. Nº de ref. de la librería 019870643X

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 18,05
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,00
A Estados Unidos de America
Destinos, gastos y plazos de envío

10.

Ian Stewart, David Tall
Editorial: Oxford University Press
ISBN 10: 019870643X ISBN 13: 9780198706434
Nuevos Paperback Cantidad: 1
Librería
THE SAINT BOOKSTORE
(Southport, Reino Unido)
Valoración
[?]

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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 14,11
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 7,74
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

Existen otras copia(s) de este libro

Ver todos los resultados de su búsqueda