Irrational Numbers And Their Representation By Sequences And Series (1906)

""Irrational Numbers And Their Representation By Sequences And Series"" is a book written by Henry Parker Manning in 1906. The book is a comprehensive study of irrational numbers and their representation through sequences and series. It explores the history of irrational numbers, their properties, and their applications in various fields such as geometry, algebra, and calculus. The book is divided into several chapters that discuss different topics related to irrational numbers. The first chapter provides an introduction to irrational numbers and their definition, while the second chapter delves into the history of irrational numbers and their discovery. The third chapter is dedicated to the properties of irrational numbers, including their decimal expansions, and the fourth chapter covers the representation of irrational numbers through continued fractions.The remaining chapters of the book focus on the representation of irrational numbers through sequences and series. Chapter five discusses the representation of irrational numbers through infinite series, while chapter six explores the representation of irrational numbers through infinite products. Chapter seven deals with the approximation of irrational numbers and the convergence of series, while chapter eight provides examples of the use of irrational numbers in geometry and algebra.Overall, ""Irrational Numbers And Their Representation By Sequences And Series"" is a valuable resource for anyone interested in the study of irrational numbers and their applications in mathematics. It provides a comprehensive overview of the topic and is written in a clear and concise manner, making it accessible to both students and professionals in the field.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.