Foundations of Mathematics: A Preparatory Course

1. Auflage 2023
ISBN: 978-3-662-67808-4
Verlag: Springer

Buch, Englisch, 446 Seiten, Paperback, Format (B × H): 168 mm x 240 mm, Gewicht: 766 g

This book spares you the entry-level problems of mathematics by entertainingly building a bridge that gently guides you over any shoals and into the heart of college mathematics. The bridge starts on one side with simple number crunching, as you probably encountered it in middle school, and takes you across to the basics of linear algebra, differential calculus, and probability, which will be the main content of your first few semesters. You will always face this content there, and when dealing with it you can then say with confidence, "I know it already!"

The authors have succeeded in writing a mathematics book for students of all disciplines and continuing professional education that is easy to read from cover to cover without getting lost in formalism or humorless dryness, but that nevertheless left you with the necessary knowledge and technical confidence after reading it.

Each chapter is accompanied by exercises that can be used to practice and reinforcethe content taught.

This book is a translation of the original German edition Brückenkurs Mathematik by Guido Walz, 4th edition, published by Springer-Verlag GmbH, DE in 2014. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation.

Voices to the 1st German language edition

'At last, an engaging, successful preparatory course that accurately highlights the elementary but essential basic concepts.' Priv.-Doz. Dr. Frank Hettlich, University of Karlsruhe

'Easy to read and compile work that is very convincing due to its entertaining nature.' Prof. Dr. Sax Kreutz, University of Applied Sciences, Hamburg

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Walz, Guido

Rießinger, Thomas

Zeilfelder, Frank

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

Introduction and preface.- Elementary methods of calculation.- Fundamentals of functions.- Equations and inequalities.- Geometry.- Introduction to linear algebra.- Differential and integral calculus.- Fundamentals of probability.- Descriptive statistics.- Complex numbers.- Collection of formulas.- Solutions to the exercises.- Literature.- Index.

Über Autor(innen)

Guido Walz is professor for applied mathematics at the Wilhelm-Büchner-Hochschule, Darmstadt, and lecturer at the Baden-Württemberg Cooperative State University in Mannheim. He is editor oft he six-volume Lexikon der Mathematik and author of numerous publications and textbooks, including Mathematik für Hochschule und Duales Studium.

Thomas Rießinger studied mathematics at the University of Mannheim and received his doctorate there in 1987. After working as a research assistant and systems analyst, he became a professor of mathematics and computer science at the University of Applied Sciences in Frankfurt am Main in 1992. He is the author of several textbooks about mathematics.

Frank Zeilfelder received his PhD (mathematics) in 1996 and his habilitation in 2002. In addition to various research stays abroad, he worked at the MPI for Computer Science in Saarbrücken, the University of Duisburg-Essen and the TU Darmstadt. Currently, he holds a position as "Fachberater Mathematik" at the RP Karlsruhe and works as a teacher for mathematics and computer science at the Carl-Benz-Schule in Mannheim.