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To Infinity and Beyond

Autor Eli Maor
en Limba Engleză Paperback – 21 noi 2017
To Infinity and Beyond explores the idea of infinity in mathematics and art. Eli Maor examines the role of infinity, as well as its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind--from the "horror infiniti" of the Greeks to the works of M. C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity--a fascination mingled with puzzlement.
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Specificații

ISBN-13: 9780691178110
ISBN-10: 0691178119
Pagini: 304
Dimensiuni: 164 x 238 x 22 mm
Greutate: 0.51 kg
Ediția:Revizuită
Editura: Princeton University Press

Textul de pe ultima copertă

"[Maor's] enthusiasm for the topic carries the reader through a rich panorama."--Choice

Notă biografică

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).

Cuprins

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.