Fundamental Concepts of Mathematics

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Sprache: Englisch

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Beschreibung

This book provides essential foundations of mathematics, covering set theory, algebra, the theory of real and complex numbers, and topology. It serves as the basis for further exploration of mathematics. Not only are the necessary concepts introduced, but also essential - including deeper - statements are proven. The material is illustrated and supplemented by unusual examples and diverse exercises. The book is suitable for self-study, but primarily designed as companion reading from the beginning for a study in mathematics, physics, and computer science. Its coherent approach makes it highly readable and comparatively easy to understand.

This book is a translation of the original German edition 'Grundkonzepte der Mathematik' by Uwe Storch and Hartmut Wiebe, published by Springer-Verlag GmbH, DE in 2017. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content (by the author Hartmut Wiebe only, as Uwe Storch is no longer with us).

Über den Autor

Uwe Storch and Hartmut Wiebe gained extensive experience in lecturing at the Faculty of Mathematics at the Ruhr-University Bochum, particularly for students of physics and computer science. Their mathematical research area was algebra, focusing primarily on its connections to algebraic and analytic geometry.

Inhaltsverzeichnis

Foreword.- Introduction.- List of Symbols.- Fundamentals of Set Theory.- Algebraic Foundations.- Real and Complex Numbers.- Topological Foundations.- Subject Index.- Bibliography.

Details

Erscheinungsjahr:	2026
Fachbereich:	Allgemeines
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Mathematics Study Resources
Inhalt:	xii 585 S. 129 s/w Illustr. 585 p. 129 illus.
ISBN-13:	9783662696965
ISBN-10:	3662696967
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Storch, Uwe Wiebe, Hartmut
Hersteller:	Springer Springer Vieweg Springer-Verlag GmbH Mathematics Study Resources
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 33 mm
Von/Mit:	Uwe Storch (u. a.)
Erscheinungsdatum:	03.01.2026
Gewicht:	0,896 kg