توضیحات
Title Page; Dedication; Copyright Page; PREFACE; PREFACE TO THE ENGLISH EDITION; Table of Contents; INTRODUCTION; PART I – THE SORCERER’S APPRENTICE; I. 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; 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 out14. Mathematics is one; 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; 19. The building rocks; Case (1). The lion is at rest.; Case (2). The lion is moving.; 20. Form becomes independent; 21. Awaiting judgement by metamathematics; 22. What is Mathematics not capable of?; After Use.
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 Self-Critique of Pure Reason – Peter develops her material in twenty-two 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.
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