Of False Discontinuity: With Illustrations From Fourier's Theorem And The Calculus Of Variations (18

Of False Discontinuity: With Illustrations From Fourier�������s Theorem And The Calculus Of Variations is a book written by Michael Marlow Umfreville Wilkinson in 1871. The book explores the concept of false discontinuity in mathematics and how it relates to Fourier's theorem and the calculus of variations. The author begins by defining what false discontinuity is and how it can be identified in mathematical functions. He then goes on to explain how Fourier's theorem, which deals with the representation of periodic functions as sums of sine and cosine functions, can be used to identify false discontinuities. The second part of the book focuses on the calculus of variations, which is a branch of mathematics that deals with finding the optimal path or function for a given problem. The author uses examples from this field to illustrate how false discontinuities can arise and how they can be avoided. Overall, Of False Discontinuity is a comprehensive exploration of a complex mathematical concept that is still relevant today. The book is written in a clear and concise manner, making it accessible to both students and professionals in the field of mathematics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.