Sinossi
This is a book about numbers - all kinds of numbers, from integers to p-adics, from rationals to octonions, from reals to infinitesimals. Who first used the standard notation for A? Why was Hamilton obsessed with quaternions? What was the prospect for "quaternionic analysis" in the 19th century? This is the story about one of the major threads of mathematics over thousands of years. It is a story that will give the reader both a glimpse of the mystery surrounding imaginary numbers in the 17th century and also a view of some major developments in the 20th.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
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.
Product Description
Book by Ebbinghaus HeinzDieter Hermes Hans Hirzebruch Frie
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Risultati della ricerca per Numbers: 123
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Numbers (Graduate Texts in Mathematics, 123)
Da: BookHolders, Towson, MD, U.S.A.
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Condizione: Fair. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: NONE ] [ Edition: Second ] Publisher: Springer Pub Date: 12/19/1990 Binding: Paperback Pages: 391 Second edition. Codice articolo 6963226
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Numbers (Graduate Texts in Mathematics, 123)
Da: Midway Book Store (ABAA), St. Paul, MN, U.S.A.
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Paperback. Condizione: Fine. Corrected third printing. 23.5 x 15.5 cm. 391pp. Name and subject index. 24 illustrations. With an introduction by K. Lamotke. Codice articolo 79503
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Numbers
Da: Moe's Books, Berkeley, CA, U.S.A.
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Soft cover. Condizione: Good. No jacket. Cover is lightly worn, particularly on corners and back cover. Spine is sunned, affecting readability of some text. Binding is tight and inside is clean and unmarked. Codice articolo 1143019
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Numbers; Graduate Texts in Mathematics 123 (Readings in Mathematics)
Editore:
Springer-Verlag, New York, 1991
ISBN 10: 0387974970
ISBN 13: 9780387974972
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Softcover
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Da: Warwick Books, member IOBA, South Pasadena, CA, U.S.A.
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Softcover. Condizione: Fine. Softcover in Fine, As New condition. First softcover edition, a translation of the second edition of "Zahlen." No marks, mars, creases, or writing. Tight binding. 8vo. 391 pp., plus two pages of sketches of famous mathematicians. Codice articolo 96590
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Numbers (Graduate Texts in Mathematics, 123)
Da: HPB-Red, Dallas, TX, U.S.A.
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Paperback. Condizione: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Codice articolo S_403033167
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Numbers (Graduate Texts in Mathematics, 123)
Da: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
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Condizione: Fine. 416 pp., Paperback, spine lightly faded else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1348829
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Numbers
Editore:
Secaucus, New Jersey, U.S.A.: Springer Verlag, 1991
ISBN 10: 0387974970
ISBN 13: 9780387974972
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Soft cover
Da: Bingo Books 2, Vancouver, WA, U.S.A.
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Soft cover. Condizione: Very Good. soft cover in very good to near fine. Codice articolo 127340
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Graduate Texts in Mathematics - Readings in Mathematics: 123: Numbers
Editore:
Springer-Verlag New York Inc. ., 1991
ISBN 10: 0387974970
ISBN 13: 9780387974972
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Softcover
Prima edizione
Da: Literary Cat Books, Machynlleth, Powys, WALES, Regno Unito
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Softcover. Condizione: As New. Condizione sovraccoperta: No Dust Jacket. First Edition; Second Impression. Shelfwear only / No perceptable shelfwear. Includes two pages of mindfully drawn portraits of famous mathematicians. Comprehensive text and examination of Numbers, ranging from natural- to complex numbers and beyond. Including historical insights and detailed explanations of various types of numbers, their properties, and their applications in modern mathematics. It also discussed the the evolution of number theory, significant milestones and the mathematicians who contributed to this field. Designed for graduate students, it provides a thorough understanding of number theory and its relevance in mathematics. ; Octavo; xviii, 391 (2) pages. Codice articolo LCH47140
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Numbers (Paperback)
Editore:
Springer-Verlag New York Inc., New York, NY, 1990
ISBN 10: 0387974970
ISBN 13: 9780387974972
Nuovo
Paperback
Prima edizione
Da: Grand Eagle Retail, Bensenville, IL, U.S.A.
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: new. Paperback. This is a book about numbers - all kinds of numbers, from integers to p-adics, from rationals to octonions, from reals to infinitesimals. Who first used the standard notation for A? Why was Hamilton obsessed with quaternions? What was the prospect for "quaternionic analysis" in the 19th century? This is the story about one of the major threads of mathematics over thousands of years. It is a story that will give the reader both a glimpse of the mystery surrounding imaginary numbers in the 17th century and also a view of some major developments in the 20th. While we each view our specialty as having roots in the past, and sometimes having connec tions to other specialties in the present, we seldom see the panorama of mathematical development over thousands of years. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780387974972
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Numbers
Editore:
Springer, Humana Dez 1990, 1990
ISBN 10: 0387974970
ISBN 13: 9780387974972
Nuovo
Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A book about numbers sounds rather dull. This one is not. Instead it is a lively story about one thread of mathematics-the concept of 'number' told by eight authors and organized into a historical narrative that leads the reader from ancient Egypt to the late twentieth century. It is a story that begins with some of the simplest ideas of mathematics and ends with some of the most complex. It is a story that mathematicians, both amateur and professional, ought to know. Why write about numbers Mathematicians have always found it diffi cult to develop broad perspective about their subject. While we each view our specialty as having roots in the past, and sometimes having connec tions to other specialties in the present, we seldom see the panorama of mathematical development over thousands of years. Numbers attempts to give that broad perspective, from hieroglyphs to K-theory, from Dedekind cuts to nonstandard analysis. 420 pp. Englisch. Codice articolo 9780387974972
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