The Foundations of Mathematics - Image 1

£40.00

Oxford University Press The Foundations of Mathematics

Name: The Foundations of Mathematics
Brand: Oxford University Press
Price: 40.0 GBP
Availability: InStock

Education & Reference

About as cheap as it gets. The only time it was cheaper was 5 months ago.

£40 today · all-time low £40 (Dec 2025) · usually the usual

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 269 days • 269 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 269 days • 5 price levels

Days at Price

Current Price

Price Analysis

Most common price: £40 (88 days, 32.7%)

Price range: £40 - £74

Price levels: 5 different prices over 269 days

Description

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.

Key Features

Foundations of Mathematics Revised

Product type: ABIS BOOK

Brand: OUP Oxford

Product Specifications

Brand: Oxford University Press
Format: hardcover
ASIN: 0198706448
Category: Books > Subjects > Children's Books > Education & Reference
Domain: Amazon UK
Release Date: 12 March 2015
Listed Since: 04 August 2014

Barcode

No barcode data available

Oxford University Press The Foundations of Mathematics

About as cheap as it gets. The only time it was cheaper was 5 months ago.

Price History & Forecast

Price Distribution

Price Analysis

Description

Key Features

Product Specifications

Barcode

Similar Products You Might Like

Introduction to Mathematics: Number, Space, and Structure (Pure and Applied Undergraduate Texts)

Conquering Mathematics: From Arithmetic to Calculus

Mathematics of the 19th Century: Mathematical Logic Algebra Number Theory Probability Theory

Introductory Concepts for Abstract Mathematics

Philosophy and Foundations of Mathematics: L. E. J. Brouwer

Philosophy of Mathematics: Classic and Contemporary Studies (Textbooks in Mathematics)

Mathematics and Art: A Cultural History

Encyclopaedia of Mathematics: Volume 6: Subject Index ― Author Index

A Concise Introduction to Pure Mathematics, Fourth Edition (Chapman Hall/Crc Mathematics)

Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet Mathematical Encyclopaedia: 1

Mathematics Form and Function: With 116 Illustrations

Mathematics Dictionary

Encyclopaedia of Mathematics: 1

Theorems and Counterexamples in Mathematics (Problem Books in Mathematics)

Encyclopaedia of Mathematics: 5

Encyclopaedia of Mathematics: 5

Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800-1945 (History of Mathematics)

Practical Foundations of Mathematics: 59 (Cambridge Studies in Advanced Mathematics, Series Number 59)

Prinzipien zur Lösung mathematischer Probleme

Postmodern Analysis (Universitext)

Meaning and Existence in Mathematics: 9 (LEP Library of Exact Philosophy, 9)

Towards Higher Categories: 152 (The IMA Volumes in Mathematics and its Applications, 152)

New Maths Frameworking – Year 7, 8 and 9 Pupil Books and Practice Books

Adventures of Mind and Mathematics (Mathematics in Mind)