Peter Hilton: Mathematical Vistas | Buch

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Cover: 9780387950648 | Mathematical Vistas | From a Room with Many Windows | Hilton (u. a.)

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Sprache: Englisch

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Beschreibung

Focusing YourAttention We have called this book Mathematical Vistas because we have already published a companion book MathematicalRefiections in the same series;1 indeed, the two books are dedicated to the same principal purpose - to stimulate the interest ofbrightpeople in mathematics.Itis not our intention in writing this book to make the earlier book aprerequisite, but it is, of course, natural that this book should contain several references to its predecessor. This is especially - but not uniquely- true of Chapters 3, 4, and 6, which may be regarded as advanced versions of the corresponding chapters in Mathematical Reflections. Like its predecessor, the present work consists of nine chapters, each devoted to a lively mathematical topic, and each capable, in principle, of being read independently of the other chapters.' Thus this is not a text which- as is the intention of most standard treatments of mathematical topics - builds systematically on certain common themes as one proceeds 1Mathematical Reflections - In a Room with Many Mirrors, Springer Undergraduate Texts in Math ematics, 1996; Second Printing 1998. We will refer to this simply as MR. 2There was an exception in MR; Chapter 9 was concerned with our thoughts on the doing and teaching of mathematics at the undergraduate level.

Zusammenfassung

The goal of "Mathematical Vistas" is to stimulate the interest of bright people in mathematics. The book consists of nine related mathematical essays which will intrigue and inform the curious reader. This book is a sequel to the authors's popular book "Mathematical Reflections" and can be read independently.

Inhaltsverzeichnis

1 Paradoxes in Mathematics.- 2 Not the Last of Fermat.- 3 Fibonacci and Lucas Numbers: Their Connections and Divisibility Properties.- 4 Paper-Folding, Polyhedra-Building, and Number Theory.- 5 Are Four Colors Really Enough?.- 6 From Binomial to Trinomial Coefficients and Beyond.- 7 Catalan Numbers.- 8 Symmetry.- 9 Parties.- Selected Answers to Breaks.

Erscheinungsjahr:	2002
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Buch
Seiten:	356
Reihe:	Undergraduate Texts in Mathematics
Inhalt:	xiv 337 S.
ISBN-13:	9780387950648
ISBN-10:	0387950648
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Hilton, Peter Pedersen, Jean Holton, Derek
Auflage:	2002
Hersteller:	Springer US Springer New York Undergraduate Texts in Mathematics
Maße:	260 x 183 x 24 mm
Von/Mit:	Peter Hilton (u. a.)
Erscheinungsdatum:	08.01.2002
Gewicht:	0,867 kg

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