MVT: A Most Valuable Theorem

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, History
Cover of the book MVT: A Most Valuable Theorem by Craig Smorynski, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Craig Smorynski ISBN: 9783319529561
Publisher: Springer International Publishing Publication: April 7, 2017
Imprint: Springer Language: English
Author: Craig Smorynski
ISBN: 9783319529561
Publisher: Springer International Publishing
Publication: April 7, 2017
Imprint: Springer
Language: English

This book is about the rise and supposed fall of the mean value theorem. It discusses the evolution of the theorem and the concepts behind it, how the theorem relates to other fundamental results in calculus, and modern re-evaluations of its role in the standard calculus course.

The mean value theorem is one of the central results of calculus. It was called “the fundamental theorem of the differential calculus” because of its power to provide simple and rigorous proofs of basic results encountered in a first-year course in calculus. In mathematical terms, the book is a thorough treatment of this theorem and some related results in the field; in historical terms, it is not a history of calculus or mathematics, but a case study in both.

*MVT: A Most Valuable Theorem *is aimed at those who teach calculus, especially those setting out to do so for the first time. It is also accessible to anyone who has finished the first semester of the standard course in the subject and will be of interest to undergraduate mathematics majors as well as graduate students. Unlike other books, the present monograph treats the mathematical and historical aspects in equal measure, providing detailed and rigorous proofs of the mathematical results and even including original source material presenting the flavour of the history.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book is about the rise and supposed fall of the mean value theorem. It discusses the evolution of the theorem and the concepts behind it, how the theorem relates to other fundamental results in calculus, and modern re-evaluations of its role in the standard calculus course.

The mean value theorem is one of the central results of calculus. It was called “the fundamental theorem of the differential calculus” because of its power to provide simple and rigorous proofs of basic results encountered in a first-year course in calculus. In mathematical terms, the book is a thorough treatment of this theorem and some related results in the field; in historical terms, it is not a history of calculus or mathematics, but a case study in both.

*MVT: A Most Valuable Theorem *is aimed at those who teach calculus, especially those setting out to do so for the first time. It is also accessible to anyone who has finished the first semester of the standard course in the subject and will be of interest to undergraduate mathematics majors as well as graduate students. Unlike other books, the present monograph treats the mathematical and historical aspects in equal measure, providing detailed and rigorous proofs of the mathematical results and even including original source material presenting the flavour of the history.

More books from Springer International Publishing

Cover of the book Community-Based Forest Management (CBFM) in Bangladesh by Craig Smorynski
Cover of the book The Progress of Education in India by Craig Smorynski
Cover of the book From Particle Systems to Partial Differential Equations by Craig Smorynski
Cover of the book Handbook of Evidence-Based Stereotactic Radiosurgery and Stereotactic Body Radiotherapy by Craig Smorynski
Cover of the book Mathematical Modeling of Social Relationships by Craig Smorynski
Cover of the book Social, Cultural, and Behavioral Modeling by Craig Smorynski
Cover of the book Body MDCT in Small Animals by Craig Smorynski
Cover of the book An Easy Guide to Care for Sculpture and Antique Art Collections by Craig Smorynski
Cover of the book Exploring the History of New Zealand Astronomy by Craig Smorynski
Cover of the book Parenting and Family Processes in Child Maltreatment and Intervention by Craig Smorynski
Cover of the book Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control by Craig Smorynski
Cover of the book Emerging Methods in Family Research by Craig Smorynski
Cover of the book Procurement Finance by Craig Smorynski
Cover of the book Mathematical Tablets from Tell Harmal by Craig Smorynski
Cover of the book Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications by Craig Smorynski
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy