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Introduction to Infinitesimal Analysis: Functions of One Real Variable by Veblen, Oswald; Lennes, N J is a nonfiction available to read on EtoBox.
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Transcriber's Notes.......Page 3 Title Page.......Page 5 Rational and Irrational Numbers.......Page 11 Axiom of Continuity.......Page 12 Addition and Multiplication of Irrationals.......Page 16 General Remarks on the Number System.......Page 18 Axioms for the Real Number System.......Page 19 The Number e.......Page 21 The Transcendence of e.......Page 24 The Transcendence of .......Page 28 Correspondence of Numbers and Points.......Page 33 Segments and Intervals. Theorem of Borel.......Page 34 Limit Points. Theorem of Weierstrass.......Page 38 Second Proof of Theorem thm1515.......Page 41 Definition of a Function.......Page 43 Bounded Functions.......Page 45 Monotonic Functions; Inverse Functions.......Page 46 Rational, Exponential, and Logarithmic Functions.......Page 51 Definitions. Limits of Monotonic Functions.......Page 57 The Existence of Limits.......Page 61 Application to Infinite Series.......Page 65 Infinitesimals. Computation of Limits.......Page 68 Further Theorems on Limits.......Page 74 Bounds of Indetermination. Oscillation.......Page 75 Continuity at a Point.......Page 79 Continuity of a Function on an Interval.......Page 80 Functions Continuous on an Everywhere Den
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- Author
- Veblen, Oswald; Lennes, N J
- Language
- EN
- Category
- nonfiction
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