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Real Analysis through Modern Infinitesimals (Encyclopedia of Mathematics and its Applications)

Real Analysis through Modern Infinitesimals (Encyclopedia of Mathematics and its Applications)

Yazar : Nader Vakil
Yayınevi : Cambridge University Press
ISBN : 9781107002029
Baskı yılı : 2011
Sayfa sayısı : 586
Ağırlık : 1.04 kg
Stok durumu : Tükendi   
Real Analysis Through Modern Infinitesimals provides a course on mathematical analysis based on Internal Set Theory (IST) introduced by Edward Nelson in 1977. After motivating IST through an ultrapower construction, the book provides a careful development
Preface; Introduction; Part I. Elements of Real Analysis: 1. Internal set theory; 2. The real number system; 3. Sequences and series; 4. The topology of R; 5. Limits and continuity; 6. Differentiation; 7. Integration; 8. Sequences and series of functions;