# rar

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bio website location San Francisco, CA age 34 member for 1 year, 3 months seen 16 mins ago profile views 207

Self-Studying mathematics.

Apostol, Calculus, Volumes I & II
Hardy & Wright, An Introduction to the Theory of Numbers
Hoffman & Kunze, Linear Algebra
Munkres, Topology
Enderton, Elements of Set Theory

# 13 Questions

 33 What makes elementary functions elementary? 25 Must we use induction to prove a statement for all integers 25 Is Mega Millions Positive Expected Value? 7 Exercise 26 from Apostol's Calculus (p. 209, parts (c) & (d))) 6 Prove that $\left|\int_a^b f(x) dx - (b-a) f(a) \right| \leq \frac{(b-a)^2}{2}$ when $f$ satisfies $|f(u)-f(v)|\leq |u-v|$

# 1,279 Reputation

 +5 Prove that $\left|\int_a^b f(x) dx - (b-a) f(a) \right| \leq \frac{(b-a)^2}{2}$ when $f$ satisfies $|f(u)-f(v)|\leq |u-v|$ +5 Must we use induction to prove a statement for all integers +15 What makes elementary functions elementary? +10 Which calculus text should I use for self-study?

 9 Recalling Proofs 8 A Book of Neat Theorems for Laymen 5 Interpretation of a probability problem: expected value. 4 Which calculus text should I use for self-study? 3 Maximum area of rectangle with fixed perimeter.

# 25 Tags

 13 soft-question × 4 7 self-learning × 2 12 reference-request × 2 4 education 11 calculus × 15 3 polynomials 8 teaching 3 geometry 7 probability × 3 3 cryptography

# 5 Accounts

 Mathematics 1,279 rep 724 Mathematica 175 rep 4 TeX - LaTeX 133 rep 3 Computer Science 101 rep Area 51 101 rep