Counterexamples : from elementary calculus to the beginnings of analysis

Başlık:

Yazar:

Bourchtein, Andrei, author.

ISBN:

9780429171925

Basım Bilgisi:

First edition.

Fiziksel Tanımlama:

1 online resource (362 pages) : 141 illustrations.

Seri:

Textbooks in mathematics

Textbooks in mathematics.

İçerik:

part I I Functions of one real variable -- chapter 1 Elementary properties of functions -- chapter 2 Limits -- chapter 3 Continuity -- chapter 4 Dierentiation -- chapter 5 Integrals -- chapter 6 Sequences and series -- part II II Functions of two real variables -- chapter 7 Limits and continuity -- chapter 8 Dierentiability -- chapter 9 Integrability.

Özet:

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.

Konu Terimleri:

Calculus -- Textbooks.

Calculus.

Functional analysis -- Textbooks.

Functional analysis.

MATHEMATICS / Calculus.

MATHEMATICS / General.

MATHEMATICS / Mathematical Analysis.

MATHEMATICS / Set Theory.

Yazar Ek Girişi:

Bourchtein, Ludmila,

Tüzel Kişi Ek Girişi: