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 Absolute Hospital Medicine Review by Craig Smorynski
Cover of the book Human Rights as Political Imaginary by Craig Smorynski
Cover of the book Gelled Bicontinuous Microemulsions by Craig Smorynski
Cover of the book Cyberspace Safety and Security by Craig Smorynski
Cover of the book From Particle Systems to Partial Differential Equations III by Craig Smorynski
Cover of the book Christianity, Plasticity, and Spectral Heritages by Craig Smorynski
Cover of the book Fundamentals of Nanomechanical Resonators by Craig Smorynski
Cover of the book Catastrophes by Craig Smorynski
Cover of the book State, Nationalism, and Islamization by Craig Smorynski
Cover of the book Current Research Topics in Plant Virology by Craig Smorynski
Cover of the book Micro- and Nanoflows by Craig Smorynski
Cover of the book Automatically Ordering Events and Times in Text by Craig Smorynski
Cover of the book Memory, Grief, and Agency by Craig Smorynski
Cover of the book An Ecological Theory of Free Expression by Craig Smorynski
Cover of the book Percutaneous Intervention for Coronary Chronic Total Occlusion 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