An Introduction to Proof through Real Analysis

Released on by Daniel J. Madden
preview-18

  • An Introduction to Proof through Real Analysis Book Detail

  • Author : Daniel J. Madden
  • Release Date : 2017-09-12
  • Publisher : John Wiley & Sons
  • Genre : Education
  • Pages : 450
  • ISBN 13 : 1119314720
  • File Size : 24,24 MB
DOWNLOAD BOOK

An Introduction to Proof through Real Analysis by Daniel J. Madden PDF Summary

Book Description: An engaging and accessible introduction to mathematical proof incorporating ideas from real analysis A mathematical proof is an inferential argument for a mathematical statement. Since the time of the ancient Greek mathematicians, the proof has been a cornerstone of the science of mathematics. The goal of this book is to help students learn to follow and understand the function and structure of mathematical proof and to produce proofs of their own. An Introduction to Proof through Real Analysis is based on course material developed and refined over thirty years by Professor Daniel J. Madden and was designed to function as a complete text for both first proofs and first analysis courses. Written in an engaging and accessible narrative style, this book systematically covers the basic techniques of proof writing, beginning with real numbers and progressing to logic, set theory, topology, and continuity. The book proceeds from natural numbers to rational numbers in a familiar way, and justifies the need for a rigorous definition of real numbers. The mathematical climax of the story it tells is the Intermediate Value Theorem, which justifies the notion that the real numbers are sufficient for solving all geometric problems. • Concentrates solely on designing proofs by placing instruction on proof writing on top of discussions of specific mathematical subjects • Departs from traditional guides to proofs by incorporating elements of both real analysis and algebraic representation • Written in an engaging narrative style to tell the story of proof and its meaning, function, and construction • Uses a particular mathematical idea as the focus of each type of proof presented • Developed from material that has been class-tested and fine-tuned over thirty years in university introductory courses An Introduction to Proof through Real Analysis is the ideal introductory text to proofs for second and third-year undergraduate mathematics students, especially those who have completed a calculus sequence, students learning real analysis for the first time, and those learning proofs for the first time. Daniel J. Madden, PhD, is an Associate Professor of Mathematics at The University of Arizona, Tucson, Arizona, USA. He has taught a junior level course introducing students to the idea of a rigorous proof based on real analysis almost every semester since 1990. Dr. Madden is the winner of the 2015 Southwest Section of the Mathematical Association of America Distinguished Teacher Award. Jason A. Aubrey, PhD, is Assistant Professor of Mathematics and Director, Mathematics Center of the University of Arizona.

Disclaimer: www.yourbookbest.com does not own An Introduction to Proof through Real Analysis books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Analysis with an Introduction to Proof

Analysis with an Introduction to Proof

File Size : 11,11 MB
Total View : 4519 Views
DOWNLOAD

This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. For

Introduction to Analysis

Introduction to Analysis

File Size : 70,70 MB
Total View : 4960 Views
DOWNLOAD

Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuou

A Logical Introduction to Proof

A Logical Introduction to Proof

File Size : 92,92 MB
Total View : 3918 Views
DOWNLOAD

The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the