Introductory Analysis

Introductory Analysis

An Inquiry Approach

Richards, Kendall C.; Ross, John D.

Taylor & Francis Inc

02/2020

250

Dura

Inglês

9780815371441

15 a 20 dias

500

Descrição não disponível.
Prerequisites. P1. Exploring Mathematical Statements. P2. Proving Mathematical Statements. P3. Preliminary Content. Main Content. 1. Properties of R. 2. Accumulation Points and Closed Sets. 3. Open Sets and Open Covers. 4. Sequences and Convergence. 5. Subsequences and Cauchy Sequences. 6. Functions, Limits, and Continuity. 7. Connected Sets and the Intermediate Value Theorem. 8. Compact Sets. 9. Uniform Continuity. 10. Introduction to the Derivative. 11. The Extreme and Mean Value Theorems. 12. The Definite Integral: Part I. 13. The Definite Integral: Part II. 14. The Fundamental Theorem(s) of Calculus. 15. Series. Extended Explorations. E1. Function Approximation. E2. Power Series. E3. Sequences and Series of Functions. E4. Metric Spaces. E5. Iterated Functions and Fixed Point Theorems
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Bolzano Weierstrass Theorem;Order Taylor Polynomial;Open Sets;IVT;Properties of R;Finite Subcover;Sequences;Vertical Line Test;Convergence;Taylor Polynomial;Cauchy Sequences;Accumulation Point;Mean Value Theorems;Cauchy Sequence;proof-writing techniques;Nested Interval;logical reasoning;Convergent Subsequence;evidence-based teaching practices;Metric Space;active learning;Taylor's Theorem;Common Vision project;Real Number Line;Open Cover;Cantor Set;Compact Set;Riemann Sums;Heine Borel Theorem;Contrapositive Statement;Definite Integral;Sequentially Compact;Follow;Partial Sums;Power Series