Name: Counterexamples: From Elementary Calculus to the Beginnings of Analysis (en Inglés)
Price: 193.49 USD
Availability: InStock
Author: Bourchtein, Andrei ; Bourchtein, Ludmila
ISBN: 9781482246674

portada Counterexamples: From Elementary Calculus to the Beginnings of Analysis (en Inglés)

Counterexamples: From Elementary Calculus to the Beginnings of Analysis (en Inglés)

Formato

Libro Físico

Autor

Andrei Bourchtein

Ludmila Bourchtein

Editorial

CRC Press

Idioma

Inglés

N° páginas

368

Encuadernación

Tapa Dura

Dimensiones

23.6 x 16.3 x 2.3 cm

Peso

0.62 kg.

ISBN13

9781482246674

Categorías

Teoría de los conjuntos
Cálculo
Análisis funcional y transformaciones

Counterexamples: From Elementary Calculus to the Beginnings of Analysis (en Inglés)

Andrei Bourchtein (Autor) · Ludmila Bourchtein (Autor) · CRC Press · Tapa Dura

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Reseña del libro "Counterexamples: From Elementary Calculus to the Beginnings of Analysis (en Inglés)"

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.