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The lore of large numbers /

Large numbers have always been a source of wonder and many questions are raised about them. 'What comes after billions?' or 'How do the relative sizes of an atom and a man compare to the relative sizes of a man and the sun?' The author has answered some of these questions by expl...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Davis, Philip J., 1923-2018
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Colección:Anneli Lax new mathematical library.
Temas:
Acceso en línea:Texto completo

MARC

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505 0 |a Front Cover -- The Lore of Large Numbers -- Copyright Page -- CONTENTS -- Preface -- PART I: LARGE NUMBERS AND THEIR ARITHMETIC -- 1. Numbers in the World -- 2. The Principal Uses of Numbers -- 3. The World of Numbers -- 4. Writing Numbers -- 5. Powers and Exponents -- 6. The Names of Really Large Numbers -- 7. The Law of Exponents -- 8. Scientific Notation -- 9. How Large Is Large? -- 10. Approximate Numbers and Orders of Magnitude -- 11. Approximate Computation -- 12. The Rough Art of Estimation -- 13. Small Numbers -- 14. Why Negative Exponents? 
505 8 |a 15. The Large and the Small16. Division by Zero: The Road to Paradox -- PART II: LARGE NUMBERS AT WORK -- 17. The Long Long Trail of Ï€ -- 18. The Long Trail Continued: Computing Machines Meet Normal Numbers -- 19. Back Over the Trail -- 20. The Personality of Numbers -- 21. Casting Out Nines; The Number Theory of Residues -- 22. The Hardest of the Simple Problems -- 23. Infinities Beyond Infinity: The Growth of Sequences -- 24. Atomic Numbers, Astronomical Numbers, and Where Is Man? -- Appendices -- I. Some Selected Magnitudes in Science 
505 8 |a II. Weights, Measures, and EquivalentsIII. Formulas for Measurement -- Answers to Selected Problems -- Bibliography 
520 |a Large numbers have always been a source of wonder and many questions are raised about them. 'What comes after billions?' or 'How do the relative sizes of an atom and a man compare to the relative sizes of a man and the sun?' The author has answered some of these questions by explaining the arithmetic and the uses of large numbers in a way which introduces the reader to the horizons of modern mathematics. Using large num bers as a unifying theme and employing only the simplest materials, the author provides the reader with an understanding for numbers, their magnitude, and their growth. The reader is introduced to exponents, computation, number theory, and to the rapidity of growth of sequences. Several historical passages reveal mathematics as a living thing that grows and changes with the generations. Tables listing interesting and useful numbers in the physical universe are appended. 
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