Download or read book An Investigation of the Mean Value Theorem written by Donald Winston Fulford and published by . This book was released on 1969 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mean Value Theorems and Functional Equations written by Prasanna Sahoo and published by World Scientific. This book was released on 1998 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a comprehensive look at mean value theorems and their connection with functional equations. Besides the traditional Lagrange and Cauchy mean value theorems, it covers the Pompeiu and the Flett mean value theorems as well as extension to higher dimensions and the complex plane. Furthermore the reader is introduced to the field of functional equations through equations that arise in connection with the many mean value theorems discussed.
Download or read book MVT A Most Valuable Theorem written by Craig Smorynski and published by Springer. This book was released on 2017-04-07 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On Pompeiu s Proof of the Mean Value Theorem of the Differential Calculus of Real Valued Functions written by Abdul Kadir Aziz and published by . This book was released on 1961 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a recent paper the writers obtained a mean value theorem for vector valued functions of a real variable which plays a role analogous to that of Lagrange's mean value theorem in the differential calculus of real valued functions. This report contains an analysis of various methods for proving these theorems.
Download or read book How to Think About Analysis written by Lara Alcock and published by OUP Oxford. This book was released on 2014-09-25 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the student's existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics.
Download or read book Uses of the Mean Value Theorem in Analysis written by and published by . This book was released on 1982 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Theoretical and Experimental Investigation of the Oxidation of Molybdenum at Temperatures at which Its Trioxide is Volatile written by David R. Schryer and published by . This book was released on 1966 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theoretical and experimental investigation of the oxidation of molybdenum to molybdenum trioxide at temperatures at which the trioxide is volatile has been carried out. A rate equation has been derived which includes the effects of mass-transfer parameters as well chemical parameters and is applicable to any situation for which a mass-transfer coefficient can be obtained. The derived equation has been applied to previously reported rate data taken under laboratory conditions using air and oxygen-helium mix-reported rate data taken under laboratory conditions using air and oxygen-helium mixtures flowing at low subsonic velocities, and a set of values for the activation energy of the oxidation of molybdenum has been obtained. The average of these values is 8.51 x 107 J-(kg-mole)−1 (20.3 kcal-(g-mole)−1) with a standard deviation of 2.1 percent. In addition, 32 molybdenum hemisphere-cylinder specimens have been oxidized in a Mach 2.1 heated airstream at a free-stream stagnation pressure of 1.07 x 106 N-m-−2 (10.5 atm) and free-stream stagnation temperatures from 1765°K to 2120°K. The stagnation-point surface temperature and recession rate were determined for each of the specimens. The observed recession rates were compared with the corresponding values predicted theoretically by the derived rate equation and agreement within a factor of about 2 was obtained for most specimens. However, a few specimens ignited, exhibiting recession rates much greater than those predicted theoretically. The high recession rates associated with ignition were found to be the result of a sharp rise in surface temperature which caused some melting of the specimens in addition to their normal oxidation.
Download or read book An Investigation of the Role of Gaseous Diffusion in the Oxidation of a Metal Forming a Volatile Oxide written by Jerry Lee Modisette and published by . This book was released on 1960 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Six Lectures on the Mean value Theorem written by Ganesh Prasad and published by . This book was released on 1931 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Methods for Ordinary Differential Equations written by J. C. Butcher and published by John Wiley & Sons. This book was released on 2004-08-20 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book updates the exceptionally popular Numerical Analysis of Ordinary Differential Equations. "This book is...an indispensible reference for any researcher."-American Mathematical Society on the First Edition. Features: * New exercises included in each chapter. * Author is widely regarded as the world expert on Runge-Kutta methods * Didactic aspects of the book have been enhanced by interspersing the text with exercises. * Updated Bibliography.
Download or read book A Discrete Multivariate Mean Value Theorem with Applications written by Dolf Talman and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Journal of Research of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1980 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Nonsmooth Analysis written by Juan Ferrera and published by Academic Press. This book was released on 2013-11-26 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail. Includes different kinds of sub and super differentials as well as generalized gradients Includes also the main tools of the theory, as Sum and Chain Rules or Mean Value theorems Content is introduced in an elementary way, developing many examples, allowing the reader to understand a theory which is scattered in many papers and research books
Download or read book Supply Chain Management Models Applications and Research Directions written by Joseph Geunes and published by Springer Science & Business Media. This book was released on 2002-03-31 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work brings together some of the most up to date research in the application of operations research and mathematical modeling te- niques to problems arising in supply chain management and e-Commerce. While research in the broad area of supply chain management enc- passes a wide range of topics and methodologies, we believe this book provides a good snapshot of current quantitative modeling approaches, issues, and trends within the field. Each chapter is a self-contained study of a timely and relevant research problem in supply chain mana- ment. The individual works place a heavy emphasis on the application of modeling techniques to real world management problems. In many instances, the actual results from applying these techniques in practice are highlighted. In addition, each chapter provides important mana- rial insights that apply to general supply chain management practice. The book is divided into three parts. The first part contains ch- ters that address the new and rapidly growing role of the internet and e-Commerce in supply chain management. Topics include e-Business applications and potentials; customer service issues in the presence of multiple sales channels, varying from purely Internet-based to traditional physical outlets; and risk management issues in e-Business in B2B m- kets.
Download or read book Mathematical Optimization Theory and Operations Research written by Michael Khachay and published by Springer. This book was released on 2019-06-12 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019. The 48 full papers presented in this volume were carefully reviewed and selected from 170 submissions. MOTOR 2019 is a successor of the well-known International and All-Russian conference series, which were organized in Ural, Siberia, and the Far East for a long time. The selected papers are organized in the following topical sections: mathematical programming; bi-level optimization; integer programming; combinatorial optimization; optimal control and approximation; data mining and computational geometry; games and mathematical economics.
Download or read book Research Topics in Analysis Volume II written by Shouchuan Hu and published by Springer Nature. This book was released on with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research Reporting Series written by and published by . This book was released on 1973 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
