Elementary Real Analysis: A Practical Introduction - Brossura

Bieske

 
9780443367472: Elementary Real Analysis: A Practical Introduction
Brossura
ISBN 10: 0443367477 ISBN 13: 9780443367472
Casa editrice: Academic Press, 2025

Sinossi

Elementary Real Analysis: A Practical Introduction provides a robust foundation for success in real analysis, presenting traditional material in an accessible, engaging manner with the support of clearly outlined learning objectives and exercises.

Organized into three well-designed sections, the book begins with a comprehensive review of prerequisite knowledge. Section I includes chapters such as "Sets," "Mathematical Statements," and "Proof Methods", which establish the essential language and techniques of advanced mathematics. Section II explores the properties of real numbers, integers, and functions, each accompanied by a wealth of exercises that encourage exploration and practice. The final section delves into advanced topics such as sequences, continuity, and differentiation, culminating in a synthesis of concepts that prepares students for rigorous mathematical analysis.

Whether used in a classroom or for self-directed learning, Elementary Real Analysis: A Practical Introduction is a vital companion for students seeking an introduction to real analysis, bridging the gap between basic principles and advanced mathematical concepts with clarity and precision.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull'autore

Professor Thomas Bieske earned his PhD from the University of Pittsburgh, United States, in 1999. His research concerns partial differential equations and analysis in metric spaces, with a focus on sub-Riemannian spaces. Professor Bieske is currently serving as the Department of Mathematics and Statistics Chair of the Undergraduate Committee-Upper Level, focusing on the performance of mathematics and statistics majors in upper-level courses, at the University of South Florida, Tampa, United States.

Dalla quarta di copertina

Elementary Real Analysis: A Practical Introduction provides a robust foundation for success in real analysis, presenting traditional material in an accessible, engaging manner with the support of clearly outlined learning objectives and exercises.

Organized into three well-designed sections, the book begins with a comprehensive review of prerequisite knowledge. Section I includes chapters such as "Sets," "Mathematical Statements," and "Proof Methods", which establish the essential language and techniques of advanced mathematics. Section II explores the properties of real numbers, integers, and functions, each accompanied by a wealth of exercises that encourage exploration and practice. The final section delves into advanced topics such as sequences, continuity, and differentiation, culminating in a synthesis of concepts that prepares students for rigorous mathematical analysis.

Whether used in a classroom or for self-directed learning, Elementary Real Analysis: A Practical Introduction is a vital companion for students seeking an introduction to real analysis, bridging the gap between basic principles and advanced mathematical concepts with clarity and precision.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Academic Press
Data di pubblicazione
2025
Lingua
Inglese
ISBN 10 
0443367477
ISBN 13 
9780443367472
Rilegatura
Copertina flessibile
Numero edizione
1
Numero di pagine
216
Contatto del produttore
non disponibile
Persona responsabile
non disponibile