As the drill will not penetrate the granite unless kept to the work hour after hour, so the mind will not penetrate the secrets of mathematics unless held long and vigorously at work. As the sun’s rays burn only when concentrated, so the mind achieves mastery in mathematics, and indeed in every branch of knowledge, only when its possessor hurls all his forces upon it. Mathematics, like all the other sciences, opens its doors to those only who knock long and hard.

Conrad Wolfram , in his TED Talk says , “ Math education needs to be reformed ground up , with computers being an integral part of everything” http://video.ted.com/assets/player/swf/EmbedPlayer.swf

Good Design is HARD. If you look at the people who’ve done great work, one thing they all seem to have in common is they worked very hard. If you’re not working hard, you are probably wasting your time. - Paul Graham in Hackers & Painters

This book is the sequel to the book A Radical Approach to Real Analysis, a book that I found to be the best historical narrative of Real Analysis. This book too in the same league, though applied to Lebesgue theory. Let me attempt to summarize this fascinating book. The book comprises 8 chapters structured in such a way that it takes the reader from Riemann integral to Lebesgue integral and finally answering a simple but revolutionary question in analysis, “ When does a function have a Fourier Series expansion that converges to that function?

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