Heinz-Dieter Ebbinghaus,
John H. Ewing,
Hans Hermes,
Friedrich Hirzebruch,
Max Koecher,
Klaus Mainzer,
Jürgen Neukirch,
Alexander Prestel,
Reinhold Remmert
e.a.
Numbers
Paperback Engels 1996 1e druk 9780387974972Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.
Specificaties
ISBN13:9780387974972
Taal:Engels
Bindwijze:paperback
Aantal pagina's:398
Uitgever:Springer New York
Druk:1
Lezersrecensies
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Inhoudsopgave
A. From the Natural Numbers, to the Complex Numbers, to the p-adics.- 1. Natural Numbers, Integers, and Rational Numbers.- 2. Real Numbers.- 3. Complex Numbers.- 4. The Fundamental Theorem of Algebr.- 5. What is ??.- 6. The p-Adic Numbers.- B. Real Division Algebras.- Repertory. Basic Concepts from the Theory of Algebras.- 7. Hamilton’s Quaternions.- 8. The Isomorphism Theorems of FROBENIUS, HOPF and GELFAND-MAZUR.- 9. CAYLEY Numbers or Alternative Division Algebras.- 10. Composition Algebras. HURWITZ’s Theorem-Vector-Product Algebras.- 11. Division Algebras and Topology.- C. Infinitesimals, Games, and Sets.- 12. Nonsiandard Analysis.- 13. Numbers and Games.- 14. Set Theory and Mathematics.- Name Index.- Portraits of Famous Mathematicians.
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