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2x Sin 1x2
A01=Andrei Bourchtein
A01=Ludmila Bourchtein
Age Group_Uncategorized
Age Group_Uncategorized
Arbitrary Partition
Author_Andrei Bourchtein
Author_Ludmila Bourchtein
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calculus and analysis
Category1=Non-Fiction
Category=PBCH
Category=PBD
Category=PBK
Compact Set
COP=United Kingdom
Cos 1x
counterexamples in analysis
counterexamples in calculus
Delivery_Pre-order
Dirichlet Function
eq_isMigrated=2
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Improper Integral
Iterated Integral
Iterated Limits
Jx1 X2j
Language_English
Left Hand Neighborhood
Line Integral
Local Extremum
Odd Function
PA=Not yet available
Positive Series
Price_€50 to €100
PS=Forthcoming
Removable Discontinuity
Riemann Function
Riemann Integral
Riemann Sums
Series P1
Sinx
softlaunch
Squeeze Theorem
Strict Local Maximum
Strict Local Minimum
Uniformly Continuous
Weierstrass Theorem

Product details

  • ISBN 9781032921037
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 14 Oct 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
  • Language: English
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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.

In this book, the authors present an overview of important concepts and results in calculus and real analysis by considering false statements, which may appear to be true at first glance. The book covers topics concerning the functions of real variables, starting with elementary properties, moving to limits and continuity, and then to differentiation and integration. The first part of the book describes single-variable functions, while the second part covers the functions of two variables.

The many examples presented throughout the book typically start at a very basic level and become more complex during the development of exposition. At the end of each chapter, supplementary exercises of different levels of complexity are provided, the most difficult of them with a hint to the solution.

This book is intended for students who are interested in developing a deeper understanding of the topics of calculus. The gathered counterexamples may also be used by calculus instructors in their classes.

Andrei Bourchtein, Ludmila Bourchtein