Klaus Mainzer

Heinz-Dieter Ebbinghaus

Friedrich Hirzebruch

Max Koecher

Jürgen Neukirch

Reinhold Remmert

Hans Hermes

Alexander Prestel

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.

Numbers

The material from function theory, up to the residue calculus, is developed in a lively and vivid style, well motivated throughout by examples and practice exercises. Additionally, there is ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations (original language together with English translation) from their classical works. Yet the book is far from being a mere history of function theory. Even experts will find here few new or long forgotten gems, like Eisenstein's novel approach to the circular functions. This book is destined to accompany many students making their way into a classical area of mathematics which represents the most fruitful example to date of the intimate connection between algebra and analysis. For exam preparation it offers quick access to the essential results and an abundance of interesting inducements. Teachers and interested mathematicians in finance, industry and science will also find reading it profitable, again and again referring to it with pleasure.

Theory of Complex Functions

Michael Artin

Hanspeter Kraft

A volume containing original essays from quite diverse fields in mathematics is something of a rarity, especially if renowned scientists show the width of their discipline to the reader. This book is just such a rarity - a veritable gem. It was written to celebrate the 50th anniversary of the mathematical research institute at Oberwolfach. The articles span a range of topics from general reflections on the place of mathematics in contemporary culture to essays dealing with aspects of algebra, analysis, geometry, coding theory, scientific computing and topology. All essays are interrelated, proving the old rule that you can divide and still conquer. A book in which every mathematician or scientist interested in mathematics will find something to take their fancy.

Fifty Years at Oberwolfach

Duration and Change

Peter Hilton

Mathematics has a certain mystique, for it is pure and ex- act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in- dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz G|tze,who has dedicated his life to scientific pu- blishing, took up this challenge with his typical enthusi- asm. This Festschrift celebrates his invaluable contribu- tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz G|tze's life-longsupport of mathematics.

Miscellanea Mathematica

Gert-Martin Greuel

Gerhard Rupprecht

In unserer technisierten Welt stoßen wir überall auf Mathematik. Sie ist eine Basiswissenschaft und der Schlüssel für bahnbrechende Innovationen. Mathematik macht viele Produkte und Dienstleistungen überhaupt erst möglich und ist damit ein wichtiger Produktions- und Wettbewerbsfaktor. In diesem Buch berichten 19 Vorstände großer Unternehmen und die Bundesagentur für Arbeit darüber, wie unverzichtbar Mathematik für ihren Erfolg heute ist. Ein spannender und lehrreicher Einblick in die Mathematik, der mit oft zitierten Vorurteilen gründlich aufräumt.

Initiative der Wirtschaft zum Jahr der Mathematik

Mathematik - Motor der Wirtschaft

Reinhold Remmert

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