Tough Nuts to Crack
A Survey of Mathematical Problems
You need to spend lots of time thinking about the problem. When I was young I had great difficulty in sleeping, so I spent lots of time thinking about mathematical problems instead of sleeping. It is very difficult to build up intuition. Somehow you need to spend time with the problems and I am not sure how to teach that.
Karen Uhlenbeck
Mathematicians on Creativity by Peter Borwein
Carl De Boor (1937 – )
When, after some considerable, quite non-productive effort, usually while not at all consciously working on the problem, there appears, for no apparent reason, in your brain the answer to that problem.
Mathematicians on Creativity by Peter Borwein
Trigonometry Problems
Tough Nut to Crack Trigonometry Problem and Solution 1
Tough Nut to Crack on Trigonometry Fallacy
Problems on Diagonalising a Matrix
Diagonalising Matrices Question
Solution to Diagonalising Matrices
Challenging problems on Integration
Tough Nut to Crack _ Integration I
Integration I Singh Solution and Integration I Richards solution
Tough Nut to Crack II on Diff and Integration Solution
Tough Nut to Crack Integration III
Tough Nut to Crack III-Solution by Richards
Tough Nut to Crack Integration IV
Tough Nut to Crack – Integration V and Solution to Integration V
Tough Nut to Crack – Integration VI and Solution to Integration VI or alternative solution is Answer
Tough Nut To Crack – Improper Integral
Tough Nut to Crack – Integration Problem II
Tough Nut to Crack – 2015 Integration Problem
Tough Nut to Crack Integration and Area Problem
Tough Nut to Crack on a standard integral
Tough Nut to Crack on Integration Problem and Solutions by Beth Ing
Problems on Complex Numbers
Tough Nut to Crack-Complex Numbers I
Tough Nut to Crack – Complex Numbers II
Problems on Differentiation and its Applications
Differentiation Problem 1 Solution by Charlotte Dellow
Differentiation Problem II Solution by Michael Hibbs
Application of Differentiation
Sketching Graphs
Tough Nut to Crack-Sketching Graphs
Problems on proofs:
Problems on Series
Tough Nut to Crack I – Series Solution by Archie Morgan
Problems on Hyperbolic Functions
Tough Nut to Crack I – Inverse hyperbolic function