1.

Record Nr.

UNINA9910828920003321

Autore

Bourchtein Andrei

Titolo

Counterexamples : from elementary calculus to the beginnings of analysis / / by Andrei Bourchtein and Ludmila Bourchtein

Pubbl/distr/stampa

Boca Raton, FL : , : Chapman and Hall/CRC, an imprint of Taylor and Francis, , 2014

ISBN

0-429-17192-7

1-4822-4668-6

Edizione

[First edition.]

Descrizione fisica

1 online resource (358 p.)

Collana

Textbooks in Mathematic

Classificazione

MAT000000MAT028000MAT037000

Disciplina

515

Soggetti

Functional analysis

Calculus

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"A Chapman & Hall Book."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Front Cover; Contents; Preface; List of Figures; Introduction; I. Functions of one real variable; 1. Elementary properties of functions; 2. Limits; 3. Continuity; 4. Differentiation; 5. Integrals; 6. Sequences and series; II. Functions of two real variables; 7. Limits and continuity; 8. Differentiability; 9. Integrability; Bibliography; Symbol Description

Sommario/riassunto

This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to reveal common errors in many examples.