Gå direkt till innehållet

10% rabatt* med kod JULI25 »

Till startsidan
Logga in
Böcker, spel, garn, pyssel m.m.
The Foundations of Mathematics

The Foundations of Mathematics

häftad, Engelska, 2015
Författare:
434 kr
Lägsta pris på PriceRunner
Beställningsvara. Skickas inom 6-17 vardagar
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.

Mer på Adlibris

Om Adlibris

Adlibris är Nordens största bokhandel och erbjuder över 13 miljoner boktitlar med det senaste inom spel, pyssel, garn och allt som hör en modern bokhandel till. Adlibris Campus erbjuder studenter att köpa och sälja både ny och begagnad studentlitteratur och Adlibris Pocket erbjuder ett skräddarsytt och handplockat sortiment i reselägen. Adlibris är en del av Bonnier Group.

  • Alltid bra priser

  • Fri frakt över 299 kr

  • Smidiga leveranser

Nyhetsbrev

Ta del av våra bästa lästips, erbjudanden och kampanjer. Anmäl dig nu och få 10% rabatt på ditt första köp. Erbjudandet gäller endast nya prenumeranter, privatkunder, ej kurslitteratur, digitala böcker eller presentkort.