"[Maor's] enthusiasm for the topic carries the reader through a rich panorama."--ChoiceHinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Eli Maor is the author of Beautiful Geometry (with Eugen Jost), Venus in Transit, Trigonometric Delights, e: The Story of a Number, and The Pythagorean Theorem: A 4,000-Year History (all Princeton).
Inhaltsangabe
I. Mathematical Infinity.- 1. First Steps to Infinity.- 2. Towards Legitimation.- 3. Convergence and Limit.- 4. The Fascination of Infinite Series.- 5. The Geometric Series.- 6. More about Infinite Series.- 7. Interlude: An Excursion into the Number Concept.- 8. The Discovery of Irrational Numbers.- 9. Cantor's New Look at the Infinite.- 10. Beyond Infinity.- II. Geometric Infinity.- 11. Some Functions and Their Graphs.- 12. Inversion in a Circle.- 13. Geographic Maps and Infinity.- 14. Tiling the Plane.- 15. A New Look at Geometry.- 16. The Vain Search for Absolute Truth.- III. Aesthetic Infinity.- 17. Rejoice the Infinite!.- 18. The Möbius Strip.- 19. The Magic World of Mirrors.- 20. Horror Vacui, Amor Infiniti.- 21. Maurits C. Escher-Master of the Infinite.- 22. The Modern Kabbalists.- IV. Cosmological Infinity.- 23. The Ancient World.- 24. The New Cosmology.- 25. The Horizons Are Receding.- 26. A Paradox and Its Aftermath.- 27. The Expanding Universe.- 28. The Modern Atomists.- 29. Which Way from Here?.- Epilogue.
I. Mathematical Infinity.- 1. First Steps to Infinity.- 2. Towards Legitimation.- 3. Convergence and Limit.- 4. The Fascination of Infinite Series.- 5. The Geometric Series.- 6. More about Infinite Series.- 7. Interlude: An Excursion into the Number Concept.- 8. The Discovery of Irrational Numbers.- 9. Cantor's New Look at the Infinite.- 10. Beyond Infinity.- II. Geometric Infinity.- 11. Some Functions and Their Graphs.- 12. Inversion in a Circle.- 13. Geographic Maps and Infinity.- 14. Tiling the Plane.- 15. A New Look at Geometry.- 16. The Vain Search for Absolute Truth.- III. Aesthetic Infinity.- 17. Rejoice the Infinite!.- 18. The Möbius Strip.- 19. The Magic World of Mirrors.- 20. Horror Vacui, Amor Infiniti.- 21. Maurits C. Escher-Master of the Infinite.- 22. The Modern Kabbalists.- IV. Cosmological Infinity.- 23. The Ancient World.- 24. The New Cosmology.- 25. The Horizons Are Receding.- 26. A Paradox and Its Aftermath.- 27. The Expanding Universe.- 28. The Modern Atomists.- 29. Which Way from Here?.- Epilogue.
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