Mathematicians and Their Times: History of Mathematics and Mathematics of History - ISBN:0444861351

Mathematicians and Their Times: History of Mathematics and Mathematics of History

Date: 23 May 2011, 17:25

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From the Preface:
These lectures were given at the request of colleagues, in view of my long acquaintance with distinguished mathematicians.
From early childhood, I have known almost legendary figures, known them better than people today who affect my daily life: the mailman who brings my letters to the door, the garage man who attends to my aged car, even the piano-tuner (bless him) who cares for my prized Ritmiiller from old Goettingen. As a student, I learnt a great deal from some mathematicians in this book, particularly Hardy and Littlewood, and before them the
great Carathe"odory — as I mention in the text, I used to spend whole afternoons at his Munich apartment across from the English Garden. Mathematics became for me, not a store of past knowledge, but creative activity of the highest form, directed towards the future. Yet I learned that to study the newest developments is not enough: we have to go back to the sources, with a professional XX-th century outlook, to find what manner
of men were able to plant the seed, and what difficulties and prejudices they had to overcome.
I learnt to associate mathematics, whether of yesterday or today, not just with definitions and theorems, algorithms and proofs, still less with masses of formulae, but with the creative minds of real people. The great ones, the pioneers, are much more than names attached to. some discovery: I was taught to ask, not just what they achieved, but what they tried, and in the case of mathematicians, the way they thought, even the errors they made. I can relay only a small part of this, and naturally I say most about mathematicians I know best. I have been at pains to talk, not just of greatness, but of the things that make up our reality: we know them only too well as errors, trials, tribulations and sometimes tragedies. This may help
readers generally, not only'those mathematically inclined.
Everyone, sooner of later, has to make a crucial decision, and not depend on others. Some decide like automata, by rule of thumb. To them I can only say with Cromwell: "I beseech you ..., think it possible you may be mistaken." However, those willing to reflect might consider reading, as they may in this book, how others did decide, and what came of it...

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