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Playing with Infinityby Rozsa Peter
Synopses & ReviewsPublisher Comments:This popular account of the many mathematical concepts relating to infinity is one of the best introductions to this subject and to the entire field of mathematics. Dividing her book into three parts — The Sorcerer's Apprentice, The Creative Role of Form, and The SelfCritique of Pure Reason — Peter develops her material in twentytwo chapters that sound almost too appealing to be true: playing with fingers, coloring the grey number series, we catch infinity again, the line is filled up, some workshop secrets, the building rocks, and so on. Yet, within this structure, the author discusses many important mathematical concepts with complete accuracy: number systems, arithmetical progression, diagonals of convex polygons, the theory of combinations, the law of prime numbers, equations, negative numbers, vectors, operations with fractions, infinite series, irrational numbers, Pythagoras' Theorem, logarithm tables, analytical geometry, the line at infinity, indefinite and definite integrals, the squaring of the circle, transcendental numbers, the theory of groups, the theory of sets, metamathematics, and much more. Numerous illustrations and examples make all the material readily comprehensible. Without being technical or superficial, the author writes with complete clarity and much originality on the whole range of topics from counting to mathematical logic. Using little algebra and no mathematical formulas, she has written an unusual book that will interest even mathematicians and teachers. Beginning mathematics students and people in the humanities and other fields will find the book particularly outstanding for their purposes. Synopsis: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. Table of ContentsINTRODUCTION
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 SELFCRITIQUE 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 What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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