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Infinitesimal Calculus

✍ Scribed by James M. Henle, Eugene M. Kleinberg


Publisher
Dover Publications
Year
2003
Tongue
English
Leaves
144
Series
Dover Books on Mathematics
Category
Library

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✦ Synopsis


Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of the real line, and standard calculus and sequences of functions. Only high school mathematics needed. 1979 edition.

✦ Subjects


ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊΠ°;ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΡ‡Π΅ΡΠΊΠΈΠΉ Π°Π½Π°Π»ΠΈΠ·;


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Cover; Title Page; Copyright Page; Dedication; Contents; Preface; 1 Introduction; 2 Language and Structure; 3 The Hyperreal Numbers; 4 The Hyperreal Line; 5 Continuous Functions; 6 Integral Calculus; 7 Differential Calculus; 8 The Fundamental Theorem; 9 Infinite Sequences and Series; 10 Infinite Pol