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hilton peter; holton derek; pedersen jean - mathematical vistas

Mathematical Vistas From a Room with Many Windows

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 01/2002
Edizione: 2002





Trama

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.




Sommario

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.




Note Libraio

The purpose of this book, like that of its earlier companion volume, Mathematical reflections, is to provide a relaxed and informal treatment of several mathematical topics that will convey to the reader presumed to have the mathematical maturity of, say, a bright freshman at an Ametican university or college a sense of the pleasure excitement that accompanies genuine mathematical discovery.










Altre Informazioni

ISBN:

9780387950648

Condizione: Nuovo
Collana: Undergraduate Texts in Mathematics
Dimensioni: 0 x 0 mm
Formato: Copertina rigida
Illustration Notes:XIV, 337 p.
Pagine Arabe: 337
Pagine Romane: xiv


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