id: 02340699
dt: b
an: 2003c.01918
au: Hilton, Peter; Holton, Derek; Pedersen, Jean
ti: Mathematical vistas. From a room with many windows.
so: Springer, New York, NY (ISBN 0-387-95064-8). 349 p. (2002).
py: 2002
pu: Springer, New York, NY
la: EN
cc: A30 G40 K30 F60
ut:
ci:
li:
ab: 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 American university or college - a sense of the pleasurable
excitement that accompanies genuine mathematical discovery. The text
presents nine topics in nine chapters. Several of the topics are
related to one another, but the chapters may be read in any order
preferred by the reader. Each topic is treated with what the authors
regard as the attention to detail appropriate to its level of
difficulty. These topics range from Andrew Wiles’ famous proof of
Fermat’s Last Theorem, where the key ideas are presented, but no
attempt at completeness is made, to the discussion of paradoxes in
which all relevant arguments are given in full. Each chapter is
provided with ’Breaks’, in which readers can test their
understanding of the material just presented by answering questions.
rv: