Dunn Introduction to Analysis

1. Auflage 2017
ISBN: 978-1-4987-3202-4
Verlag: CRC Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 418 Seiten

Reihe: Textbooks in Mathematics

This text is designed for a one semester Introduction to Analysis course. One main difference is the chapter on set, functions and proofs. This book will be attractive when a Transition to Advanced Mathematics course is not offered. The first chapter covers an introduction to proofs. The text progresses into sequences and limits, continuity and differentiation. Riemann Integration, Sequences and Series Functions and the Topology of the Real Numbers round out the presentation. The author does an excellent job of connecting the material by suggesting to students where to find particular theorems, referring back to previous material while introducting new topics.

Autoren/Hrsg.

Dunn, Corey M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

1. Sets, Functions, and Proofs; 2. The Real Numbers; 3. Sequences and their Limits; 4. Series of Real Numbes; 5. Limits and Continuity; 6. Differentiation; 7. Sequences and Series of Functions; A List of Commonly Used Symbols; Bibliography; Index

Über Autor(innen)

Dr. Corey M. Dunn is a Professor of mathematics at California State University, San Bernardino. His interests include Differential Geometry, Geometric Analysis, Linear Algebra, and involving undergraduates in his research. He received his PhD from the University of Oregon in 2006.