Kacmarcik / Brooks Exploring the Infinite

An Introduction to Proof and Analysis
Erscheinungsjahr 2016
ISBN: 978-1-4987-0450-2
Verlag: CRC Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 300 Seiten

Reihe: Textbooks in Mathematics

This is a textbook for an introductory course in analysis, combining topics from a transition course. At some schools, a transition course is combined over one or two semesters to introduce topics from real analysis. This allows students a more gradual approach to the difficult topics of analysis. Beginning with logic and sets, this text gradually raises the sophistication level of students coming out of calculus and proceeds into analysis topics.

Zielgruppe

This book is intended for instructors and students taking a course in introductory analysis. It also would be useful to instructors and students who have not taken a transition course and to education majors.

Autoren/Hrsg.

Kacmarcik, Jennifer

Brooks, Jennifer

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematik Allgemein Mengenlehre

Inhaltsverzeichnis

Preface. Introduction to Proof. Mathematical Induction. Elementary Discrete Mathematics. Basic Logic and Proofs. Sets, Relations and Functions. Number Systems and Algebraic Structures. Infinite Sets. Foundations of Analysis. Sequences of Real Numbers. A Closer Look at the Real Number System. Series, Part 1. Continuous Functions. Series, Part 2.

Über Autor(innen)

Jennifer Halfpap is an Associate Professor in the Department of Mathematical Sciences at the University of Montana, Missoula, USA. She is also the Associate Chair of the department, directing the Graduate Program.