Counterexamples in Calculus (Classroom Resource Materials)
Sergiy Klymchuk
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Description for Counterexamples in Calculus (Classroom Resource Materials)
Paperback. A resource for introductory calculus courses. It provides incorrect mathematical statements which require students to create counterexamples to disprove them. Series: Classroom Resource Materials. Num Pages: 112 pages, 112 b/w illus. 2 colour illus. BIC Classification: PBKA. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 153 x 7. Weight in Grams: 172.
Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: functions, limits, continuity, differential calculus and integral calculus. This book aims to fill a gap in the literature and provide a resource for using counterexamples ... Read more
Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: functions, limits, continuity, differential calculus and integral calculus. This book aims to fill a gap in the literature and provide a resource for using counterexamples ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
Mathematical Association of America
Number of pages
112
Condition
New
Series
Classroom Resource Materials
Number of Pages
112
Place of Publication
Washington, United States
ISBN
9780883857656
SKU
V9780883857656
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Sergiy Klymchuk
Dr Sergiy Klymchuk is an Associate Professor of the School of Computing and Mathematical Sciences at the Auckland University of Technology, New Zealand. He has 29 years of experience teaching university mathematics in different countries. He was born in Ukraine in 1958. Since 1996 he has lived in New Zealand. His PhD (1988) from Odessa National University, Ukraine was in ... Read more
Reviews for Counterexamples in Calculus (Classroom Resource Materials)
This brief work is exactly as described, a collection of counterexamples from calculus. The book is organized into two parts. The first part is a list of 90 short statements grouped into five categories: ""Functions,"" ""Limits,"" ""Continuity,"" ""Differential Calculus,"" and ""Integral Calculus."" The second part is longer and includes counterexamples to each of the statements and well-known calculus theorems... Klymchuk ... Read more