Paradoxes and sophisms in calculus /:
In the study of mathematics, surprising and counter-intuitive examples can offer a fascinating insight into the development of the subject, and inspire a learner's passion for discovery. With a carefully-chosen selection of so-called paradoxes and sophisms, this book offers a delightful supplem...
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| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Washington, D.C. :
Mathematical Association of America,
©2013.
|
| Series: | Classroom resource materials.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | In the study of mathematics, surprising and counter-intuitive examples can offer a fascinating insight into the development of the subject, and inspire a learner's passion for discovery. With a carefully-chosen selection of so-called paradoxes and sophisms, this book offers a delightful supplementary resource to enhance the study of single variable calculus. By paradox, the authors mean an unexpected statement that looks invalid, but is in fact true. The word sophism describes intentionally invalid reasoning that looks formally correct, but, in fact, contains a subtle mistake or flaw. This collection of over fifty paradoxes and sophisms showcases the subtleties of calculus and leads students to contemplate the underlying concepts. Sophisms and paradoxes from the areas of functions, limits, derivatives, integrals, sequences, and series are explored, with full explanations provided for each example. The book is an ideal resource for those studying or teaching calculus at high school and university level. |
| Physical Description: | 1 online resource (xiii, 98 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 95-96). |
| ISBN: | 9781614441106 1614441103 |
Staff View
MARC
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| 100 | 1 | |a Klymchuk, Sergiy. | |
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| 520 | 8 | |a In the study of mathematics, surprising and counter-intuitive examples can offer a fascinating insight into the development of the subject, and inspire a learner's passion for discovery. With a carefully-chosen selection of so-called paradoxes and sophisms, this book offers a delightful supplementary resource to enhance the study of single variable calculus. By paradox, the authors mean an unexpected statement that looks invalid, but is in fact true. The word sophism describes intentionally invalid reasoning that looks formally correct, but, in fact, contains a subtle mistake or flaw. This collection of over fifty paradoxes and sophisms showcases the subtleties of calculus and leads students to contemplate the underlying concepts. Sophisms and paradoxes from the areas of functions, limits, derivatives, integrals, sequences, and series are explored, with full explanations provided for each example. The book is an ideal resource for those studying or teaching calculus at high school and university level. | |
| 505 | 0 | |a Paradoxes. Functions and limits ; Derivatives and integrals -- Sophisms. Functions and limits ; Derivatives and integrals -- Solutions to paradoxes. Functions and limits ; Derivatives and integrals -- Solutions to sophisms. Functions and limits ; Derivatives and integrals. | |
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| 650 | 0 | |a Calculus |v Problems, exercises, etc. | |
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Record in the Search Index
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| author | Klymchuk, Sergiy |
| author2 | Staples, Susan |
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| contents | Paradoxes. Functions and limits ; Derivatives and integrals -- Sophisms. Functions and limits ; Derivatives and integrals -- Solutions to paradoxes. Functions and limits ; Derivatives and integrals -- Solutions to sophisms. Functions and limits ; Derivatives and integrals. |
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| id | ZDB-4-EBA-ocn847680790 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:41:27Z |
| institution | BVB |
| isbn | 9781614441106 1614441103 |
| language | English |
| oclc_num | 847680790 |
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| series | Classroom resource materials. |
| series2 | Classroom resource materials |
| spelling | Klymchuk, Sergiy. Paradoxes and sophisms in calculus / Sergiy Klymchuk and Susan Staples. Washington, D.C. : Mathematical Association of America, ©2013. 1 online resource (xiii, 98 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Classroom resource materials Includes bibliographical references (pages 95-96). Print version record. In the study of mathematics, surprising and counter-intuitive examples can offer a fascinating insight into the development of the subject, and inspire a learner's passion for discovery. With a carefully-chosen selection of so-called paradoxes and sophisms, this book offers a delightful supplementary resource to enhance the study of single variable calculus. By paradox, the authors mean an unexpected statement that looks invalid, but is in fact true. The word sophism describes intentionally invalid reasoning that looks formally correct, but, in fact, contains a subtle mistake or flaw. This collection of over fifty paradoxes and sophisms showcases the subtleties of calculus and leads students to contemplate the underlying concepts. Sophisms and paradoxes from the areas of functions, limits, derivatives, integrals, sequences, and series are explored, with full explanations provided for each example. The book is an ideal resource for those studying or teaching calculus at high school and university level. Paradoxes. Functions and limits ; Derivatives and integrals -- Sophisms. Functions and limits ; Derivatives and integrals -- Solutions to paradoxes. Functions and limits ; Derivatives and integrals -- Solutions to sophisms. Functions and limits ; Derivatives and integrals. English. Calculus Problems, exercises, etc. Paradoxes Mathematical models. Calcul infinitésimal Problèmes et exercices. Paradoxes Modèles mathématiques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus fast Paradoxes Mathematical models fast Problems and exercises fast Staples, Susan. has work: Paradoxes and sophisms in calculus (Text) https://id.oclc.org/worldcat/entity/E39PCGHyCHgjR3rTRJBygbP84q https://id.oclc.org/worldcat/ontology/hasWork Print version: Klymchuk, Sergiy. Paradoxes and sophisms in calculus. Washington, D.C. : Mathematical Association of America, ©2013 9780883857816 (OCoLC)826855542 Classroom resource materials. |
| spellingShingle | Klymchuk, Sergiy Paradoxes and sophisms in calculus / Classroom resource materials. Paradoxes. Functions and limits ; Derivatives and integrals -- Sophisms. Functions and limits ; Derivatives and integrals -- Solutions to paradoxes. Functions and limits ; Derivatives and integrals -- Solutions to sophisms. Functions and limits ; Derivatives and integrals. Calculus Problems, exercises, etc. Paradoxes Mathematical models. Calcul infinitésimal Problèmes et exercices. Paradoxes Modèles mathématiques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus fast Paradoxes Mathematical models fast |
| title | Paradoxes and sophisms in calculus / |
| title_auth | Paradoxes and sophisms in calculus / |
| title_exact_search | Paradoxes and sophisms in calculus / |
| title_full | Paradoxes and sophisms in calculus / Sergiy Klymchuk and Susan Staples. |
| title_fullStr | Paradoxes and sophisms in calculus / Sergiy Klymchuk and Susan Staples. |
| title_full_unstemmed | Paradoxes and sophisms in calculus / Sergiy Klymchuk and Susan Staples. |
| title_short | Paradoxes and sophisms in calculus / |
| title_sort | paradoxes and sophisms in calculus |
| topic | Calculus Problems, exercises, etc. Paradoxes Mathematical models. Calcul infinitésimal Problèmes et exercices. Paradoxes Modèles mathématiques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus fast Paradoxes Mathematical models fast |
| topic_facet | Calculus Problems, exercises, etc. Paradoxes Mathematical models. Calcul infinitésimal Problèmes et exercices. Paradoxes Modèles mathématiques. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Calculus Paradoxes Mathematical models Problems and exercises |
| work_keys_str_mv | AT klymchuksergiy paradoxesandsophismsincalculus AT staplessusan paradoxesandsophismsincalculus |