By Andrei Bourchtein,Ludmila Bourchtein

ISBN-10: 1482246678

ISBN-13: 9781482246674

This publication offers a one-semester undergraduate creation to counterexamples in calculus and research. It is helping engineering, ordinary sciences, and arithmetic scholars take on normally made faulty conjectures. The publication encourages scholars to imagine severely and analytically, and is helping to bare universal blunders in lots of examples.

In this e-book, the authors current an outline of vital options and ends up in calculus and actual research by way of contemplating fake statements, that could seem to be actual before everything look. The ebook covers themes in regards to the features of actual variables, beginning with ordinary homes, relocating to limits and continuity, after which to differentiation and integration. the 1st a part of the publication describes single-variable services, whereas the second one half covers the features of 2 variables.

The many examples provided in the course of the e-book more often than not commence at a really easy point and develop into extra complicated throughout the improvement of exposition. on the finish of every bankruptcy, supplementary routines of alternative degrees of complexity are supplied, the main tough of them with a touch to the solution.

This booklet is meant for college kids who're attracted to constructing a deeper realizing of the themes of calculus. The accumulated counterexamples can also be utilized by calculus teachers of their sessions.