Posing the question "What exactly is a number?" a distinguished German mathematician presents this intriguing and accessible survey. Albrecht Beutelspacher ― founder of the renowned interactive mathematics museum, Mathematikum ― characterizes the wealth of experiences that numbers have to offer. In addition, he considers the many things that can be described by numbers and discusses which numbers possess special fascinations and pose lasting mysteries. Starting with natural numbers, the book examines representations of numbers, rational and irrational numbers, transcendental numbers, and imaginary and complex numbers. Readers will explore the history of numbers from Pythagoras to Fermat and discover such practical applications as cryptography and barcodes. A thoughtful and enlightening introduction to the past, present, and future of numbers, this volume will captivate mathematicians and nonmathematicians alike.

Numbers: Histories, Mysteries, Theories (Aurora: Dover Modern Math Originals)

History

Beutelspacher, Albrecht

Ancient Civilizations

Dover Publications

The Theory of Finite Linear Spaces: Combinatorics of Points and Lines

This is the first comprehensive text to cover finite linear spaces. It contains all the important results that have been published up to the present day and is designed to be used not only as a resource for researchers in this and related areas but also as a graduate level text. In eight chapters, the authors introduce and review fundamental results and go on to cover the major areas of interest in linear spaces. A combinatorial approach is used for the greater part of the book, but in the final chapter recent advances in group theory relating to finite linear spaces are presented. At the end of each chapter there is a set of exercises designed to test comprehension of the material and a section of research problems for researchers.

Science & Math

Batten, Lynn Margaret

Mathematics

Cambridge University Press

This is the first comprehensive text to cover finite linear spaces. It contains all the important results that have been published up to the present day and is designed to be used not only as a resource for researchers in this and related areas but also as a graduate level text. In eight chapters, the authors introduce and review fundamental results and go on to cover the major areas of interest in linear spaces. A combinatorial approach is used for the greater part of the book, but in the final chapter recent advances in group theory relating to finite linear spaces are presented. At the end of each chapter there is a set of exercises designed to test comprehension of the material and a section of research problems for researchers.

This book introduces the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader to understand and construct proofs and write clear mathematics. The authors achieve this by exploring set theory, combinatorics and number theory, which include many fundamental mathematical ideas. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all time great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

Projective Geometry: From Foundations to Applications

Rosenbaum, Ute

Albrecht Beutelspachers kleines Mathematikum: Die 101 wichtigsten Fragen und Antworten zur Mathematik

Biographies & Memoirs

Goldmann Verlag

Lineare Algebra: Eine Einführung in die Wissenschaft der Vektoren, Abbildungen und Matrizen (Mathematik für Studienanfänger) (German Edition)

Vieweg+Teubner Verlag

Moderne Verfahren der Kryptographie: Von RSA zu Zero-Knowledge (German Edition)

Schwenk, Jörg

Wolfenstetter, Klaus-Dieter

Reference

Das Buch öffnet ein Fenster, durch das man einen Einblick in die Mathematik erhält. Der Autor bringt das Kunststück fertig, den scheinbar undurchdringlichen Schleier von der Mathematik wegzuziehen und ihre Geheimnisse zu entschlüsseln. Er zeichnet ein buntes Bild von Mathematik und Mathematikern, das Nichtmathematiker genießen, aus dem aber auch Mathematiker viel über ihresgleichen erfahren können. Zusammen mit vielen witzigen Illustrationen von Andrea Best ist das Buch ein wahres Lesevergnügen. "Mathematiker können auch anders. Das beweist Beutelspacher mit diesem Büchlein, das unterhaltsam und leicht zu lesen ist." (Die Zeit)

"In Mathe war ich immer schlecht...": Berichte und Bilder von Mathematik und Mathematikern, Problemen und Witzen, Unendlichkeit und Verständlichkeit, ... und ernsterer Mathematik (German Edition)

Dieses Lehrbuch präsentiert projektive Geometrie, ein wichtiges klassisches Gebiet der Mathematik, im neuen Gewand: So liegt ein Akzent auf überraschenden und wichtigen Anwendungen. Die 2. Auflage beinhaltet WOM-Codes, Perspektive, Bewegliche Fachwerke und Polarräume als zusätzliche Themen.

Projektive Geometrie: Von den Grundlagen bis zu den Anwendungen (vieweg studium; Aufbaukurs Mathematik, 41) (German Edition)

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