A Bridge to Advanced Mathematics: From Natural to Complex Numbers (Pure and Applied Undergraduate Texts) - Softcover

Sebastian M. Cioaba (author)|Werner Linde (author)

 
9781470471484: A Bridge to Advanced Mathematics: From Natural to Complex Numbers (Pure and Applied Undergraduate Texts)
Softcover
ISBN 10: 1470471485 ISBN 13: 9781470471484
Publisher: American Mathematical Society, 2023

Synopsis

Most introduction to proofs textbooks focus on the structure of rigorous mathematical language and only use mathematical topics incidentally as illustrations and exercises. In contrast, this book gives students practice in proof writing while simultaneously providing a rigorous introduction to number systems and their properties. Understanding the properties of these systems is necessary throughout higher mathematics. The book is an ideal introduction to mathematical reasoning and proof techniques, building on familiar content to ensure comprehension of more advanced topics in abstract algebra and real analysis with over 700 exercises as well as many examples throughout. Readers will learn and practice writing proofs related to new abstract concepts while learning new mathematical content. The first task is analogous to practicing soccer while the second is akin to playing soccer in a real match. The authors believe that all students should practice and play mathematics.

The book is written for students who already have some familiarity with formal proof writing but would like to have some extra preparation before taking higher mathematics courses like abstract algebra and real analysis.

"synopsis" may belong to another edition of this title.

About the Author

Sebastian M. Cioaba, University of Delaware, Newark, DE.

Werner Linde, Friedrich-Schiller University Jena, Germany.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2023
Language
English
ISBN 10 
1470471485
ISBN 13 
9781470471484
Binding
Paperback
Number of pages
525