Introduction To Real Analysis

ยท World Scientific
ืกืคืจ ื“ื™ื’ื™ื˜ืœื™
684
ื“ืคื™ื
ื›ืฉื™ืจ

ืžื™ื“ืข ืขืœ ื”ืกืคืจ ื”ื“ื™ื’ื™ื˜ืœื™ ื”ื–ื”

This is a text that develops calculus 'from scratch', with complete rigorous arguments. Its aim is to introduce the reader not only to the basic facts about calculus but, as importantly, to mathematical reasoning. It covers in great detail calculus of one variable and multivariable calculus. Additionally it offers a basic introduction to the topology of Euclidean space. It is intended to more advanced or highly motivated undergraduates.

ืจื•ืฆื” ืœื“ืจื’ ืืช ื”ืกืคืจ ื”ื“ื™ื’ื™ื˜ืœื™ ื”ื–ื”?

ื ืฉืžื— ืœืฉืžื•ืข ืžื” ื“ืขืชืš.

ืื™ืš ืงื•ืจืื™ื ืืช ื”ืกืคืจ

ืกืžืืจื˜ืคื•ื ื™ื ื•ื˜ืื‘ืœื˜ื™ื
ื›ืœ ืžื” ืฉืฆืจื™ืš ืœืขืฉื•ืช ื”ื•ื ืœื”ืชืงื™ืŸ ืืช ื”ืืคืœื™ืงืฆื™ื” ืฉืœ Google Play Books ืœ-Android ืื• ืœ-iPad/iPhoneโ€. ื”ื™ื ืžืกืชื ื›ืจื ืช ื‘ืื•ืคืŸ ืื•ื˜ื•ืžื˜ื™ ืขื ื”ื—ืฉื‘ื•ืŸ ืฉืœืš ื•ืžืืคืฉืจืช ืœืš ืœืงืจื•ื ืžื›ืœ ืžืงื•ื, ื’ื ืœืœื ื—ื™ื‘ื•ืจ ืœืื™ื ื˜ืจื ื˜.
ืžื—ืฉื‘ื™ื ื ื™ื™ื“ื™ื ื•ืฉื•ืœื—ื ื™ื™ื
ื ื™ืชืŸ ืœื”ืื–ื™ืŸ ืœืกืคืจื™ ืื•ื“ื™ื• ืฉื ืจื›ืฉื• ื‘-Google Play ื‘ืืžืฆืขื•ืช ื“ืคื“ืคืŸ ื”ืื™ื ื˜ืจื ื˜ ืฉืœ ื”ืžื—ืฉื‘.
eReaders ื•ืžื›ืฉื™ืจื™ื ืื—ืจื™ื
ื›ื“ื™ ืœืงืจื•ื ื‘ืžื›ืฉื™ืจื™ื ืขื ืชืฆื•ื’ืช ื“ื™ื• ืืœืงื˜ืจื•ื ื™ (e-ink) ื›ืžื• ื”ืงื•ืจืื™ื ื”ืืœืงื˜ืจื•ื ื™ื™ื ืฉืœ Kobo, ืฆืจื™ืš ืœื”ื•ืจื™ื“ ืงื•ื‘ืฅ ื•ืœื”ืขื‘ื™ืจ ืื•ืชื• ืœืžื›ืฉื™ืจ. ื™ืฉ ืœืคืขื•ืœ ืœืคื™ ื”ื”ื•ืจืื•ืช ื”ืžืคื•ืจื˜ื•ืช ื‘ืžืจื›ื– ื”ืขื–ืจื” ื›ื“ื™ ืœื”ืขื‘ื™ืจ ืืช ื”ืงื‘ืฆื™ื ืœืงื•ืจืื™ื ืืœืงื˜ืจื•ื ื™ื™ื ื ืชืžื›ื™ื.

ืขื•ื“ ืžืืช Liviu I Nicolaescuโ€

ืกืคืจื™ื ื“ื™ื’ื™ื˜ืœื™ื™ื ื“ื•ืžื™ื