Playing with Infinity - Rózsa Péter

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Résumé :
Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.

Sommaire:
INTRODUCTION PART I THE SORCERER'S APPRENTICE 1 PLAYING WITH FINGERS 2 THE 'TEMPERATURE CHARTS' OF THE OPERATIONS 3 THE PARCELLING OUT OF THE INFINITE NUMBER SERIES 4 THE SORCERER'S APPRENTICE 5 VARIATIONS ON A FUNDAMENTAL THEME POSTSCRIPT ON GEOMETRY WITHOUT MEASUREMENTS 6 WE GO THROUGH ALL POSSIBILITIES 7 COLOURING THE GREY NUMBER SERIES 8 I HAVE THOUGHT OF A NUMBER' PART II THE CREATIVE ROLE OF FORM 9 DIVERGING NUMBERS 10 LIMITLESS DENSITY 11 WE CATCH INFINITY AGAIN 12 THE LINE IS FILLED UP 13 THE CHARTS GET SMOOTHED OUT 14 MATHEMATICS IS ONE POSTSCRIPT ABOUT WAVES AND SHADOWS 15 WRITE IT DOWN' ELEMENTS 16 SOME WORKSHOP SECRETS 17 MANY SMALL MAKE A GREAT' PART III THE SELF-CRITIQUE OF PURE REASON 18 AND STILL THERE ARE DIFFERENT KINDS OF MATHEMATICS POSTSCRIPT ABOUT THE FOURTH DIMENSION 19 THE BUILDING ROCKS 20 FORM BECOMES INDEPENDENT 21 AWAITING JUDGEMENT BY METAMATHEMATICS POSTSCRIPT ON PERCEPTION PROJECTED TO INFINITY 22 WHAT IS MATHEMATICS NOT CAPABLE OF? AFTER USE