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### Questions (57)

 12 Why are “algebras” called algebras? 6 Why is topological group not a popular topic? 6 Rudin's 'Principle of Mathematical Analysis' Exercise 3.14 4 Any good supplementary text on Algebraic Number Theory? 4 Divisibility of $\lfloor (1+\sqrt{3})^{2m+1}\rfloor$ by $2^k$

### Reputation (1,491)

 +5 Divisibility of $\lfloor (1+\sqrt{3})^{2m+1}\rfloor$ by $2^k$ +50 What's the difference between simple induction and strong induction? +5 Why should $f(z)=\sqrt{z}$ be limited on $\mathbb{C}-\{z:\Re(z)\leq0\}$ to be considered as an analytic function? +10 Good text on Differential manifolds?

 16 What's the difference between simple induction and strong induction? 5 Structured Self-Learning Program for Calculus I & II 4 Trigonometry : Simplify and find the value of $\tan\theta(1-\sec\frac{\theta}{2})(1-\sec\theta)(1-\sec2\theta)\dots(1-\sec2^{n-1}\theta)$ at n =1,2,3 3 Good text on Differential manifolds? 3 integration of $\int_{0}^{\infty} e^{-ax}\Sigma_{0}^{\infty} \frac{(-1)^n x^{2n}}{4^n (n!)^2}dx$

### Tags (106)

 16 induction × 2 5 book-recommendation × 8 12 calculus × 12 5 integration × 5 8 reference-request × 5 5 soft-question × 5 7 self-learning × 3 4 real-analysis × 5 6 education × 2 4 general-topology × 4

### Accounts (17)

 Mathematics 1,491 rep 416 Academia 221 rep 18 MathOverflow 180 rep 8 Biology 172 rep 5 Economics 128 rep 4