FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS by Alessandro Cordelli 0000-00-00 00:00:00

Find Deals & PDF download FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS

by Alessandro Cordelli
Book Views: 6
FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS by Alessandro Cordelli
Author
Alessandro Cordelli
Publisher
Date of release
Pages
0
ISBN
0
Binding
Illustrations
Format
PDF, EPUB, MOBI, TXT, DOC
Rating
3
77
Verified safe to download
See available formats

Book review

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.

Find & Download Book — FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS

Click one of share button to proceed download:
Choose server for download:
FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS
11 mb
5 min
PDF
FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS
12 mb
4 min
ePub
FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS
2 mb
5 min
TXT
FOUNDATIONS OF MATHEMATICS: FROM LOGIC TO SET THEORY AND NUMBERS
16 mb
5 min
MOBI
Get It!
If not downloading or you getting an error:
  • Try another server.
  • Try to reload page — press F5 on keyboard.
  • Clear browser cache.
  • Clear browser cookies.
  • Try other browser.
  • If you still getting an error — please contact us and we will fix this error ASAP.
Sorry for inconvenience!
For authors or copyright holders
Amazon Affiliate

Go to Removal form

Leave a comment

Readers reviews