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Counterexamples : from elementary calculus to the beginnings of analysis / by Andrei Bourchtein and Ludmila Bourchtein.
- Format:
- Book
- Author/Creator:
- Bourchtein, Andrei, author.
- Bourchtein, Ludmila, author.
- Series:
- Textbooks in mathematics (Boca Raton, Fla.)
- Textbooks in Mathematic
- Language:
- English
- Subjects (All):
- Functional analysis--Textbooks.
- Functional analysis.
- Calculus--Textbooks.
- Calculus.
- Physical Description:
- 1 online resource (358 p.)
- Edition:
- First edition.
- Place of Publication:
- Boca Raton, FL : Chapman and Hall/CRC, an imprint of Taylor and Francis, 2014.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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
- Notes:
- "A Chapman & Hall Book."
- Includes bibliographical references and index.
- Description based on print version record.
- ISBN:
- 9781040213728
- 1040213723
- 9780429171925
- 0429171927
- 9781482246681
- 1482246686
- OCLC:
- 908079550
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