An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich
Book lovers, when you require a brand-new book to check out, find guide An Introduction To The Theory Of Infinite Series (Classic Reprint), By Thomas John I'anson Bromwich here. Never stress not to locate just what you need. Is the An Introduction To The Theory Of Infinite Series (Classic Reprint), By Thomas John I'anson Bromwich your required book currently? That holds true; you are really a great visitor. This is a perfect book An Introduction To The Theory Of Infinite Series (Classic Reprint), By Thomas John I'anson Bromwich that originates from terrific author to show you. Guide An Introduction To The Theory Of Infinite Series (Classic Reprint), By Thomas John I'anson Bromwich offers the very best encounter as well as lesson to take, not just take, but additionally learn.
An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich
Download PDF Ebook Online An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich
Excerpt from An Introduction to the Theory of Infinite SeriesThis book is based on courses of lectures on Elementary Analysis given at Queen's College, Galway, during each of the sessions 1902-1907. But additions have naturally been made in preparing the manuscript for press: in particular the whole of Chapter XI. and the greater part of the Appendices have been added. In selecting the subject-matter, I have attempted to include proofs of all theorems stated in Pringsheim's article, Irrationalzahlen und Konvergenz unendlicher Prozesse, with the exception of theorems relating to continued fractions.In Chapter I. a preliminary account is given of the notions of a limit and of convergence. I have not in this chapter attempted to supply arithmetic proofs of the fundamental theorems concerning the existence of limits, but have allowed their truth to rest on an appeal to the reader's intuition, in the hope that the discussion may thus be made more attractive to beginners. An arithmetic treatment will be found in Appendix I., where Dedekind's definition of irrational numbers is adopted as fundamental; this method leads at once to the monotonic principle of convergence (Art. 149), from which the existence of extreme limits is deduced (Arts. 5, 150);it is then easy to establish the general principle of convergence (Art. 151).About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich- Published on: 2015-09-27
- Original language: English
- Number of items: 1
- Dimensions: 9.02" h x 1.07" w x 5.98" l, 1.55 pounds
- Binding: Paperback
- 532 pages
Review The book is especially good at counterexamples, and includes many of these to warn against pitfalls in reasoning and to show that all the hypotheses of the theorems are really needed. One especially nice feature is the use of Tannery's theorem, on interchanging limit and summation, throughout the book. --MAA Reviews
Where to Download An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich
Most helpful customer reviews
27 of 27 people found the following review helpful. Old maybe, but still very useful By Peter Haggstrom This book was based on a series lectures in "elementary" analysis given between 1902 and 1907 by Bromwich at Queen's College. Godfrey Hardy, the pure mathematician par excellence from Cambridge, read the manuscript. The material is anything but elementary and says a lot about the standards at the time. The level is essentially pitched at Cambridge's Tripos candidates at that time. The "easy miscellaneous examples" at the end of the book are anything but easy. Many of the problems have names like Dirichlet, Osgood, Pringsheim, Du Bois Reymond, Hardy, Borel etc attached to them. You get the picture. The depth of treatment of convergence of series is much greater than is the case with modern courses on analysis. There is extensive material on various tests: Abel, Weierstrass, Dirichlet, Tannery etc all based on some hard core analysis. If you want to really understand the Gamma function,, say, there is a lot of material (way beyond the stuff given in the standard treatments) that will expand your knowledge. If, for instance, you really want to understand convergence of the Poisson integral or the convergence of the integral of the sinc function ( sin x / x) there is a wealth of material. Students who want to understand more advanced analytical techniques such as Tauberian theorems will find the book useful.This is not a book for lazy students or those who are having trouble with the concept of limit. It is really pitched at top students and will reward them with the depth of the material contained therein. It is a snobbish book at one level but leaving that aside the material is very useful for a student who is seriously interested in analytical techniques.
1 of 2 people found the following review helpful. Five Stars By Yawer PERFECT!!!
See all 2 customer reviews... An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson BromwichAn Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich PDF
An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich iBooks
An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich ePub
An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich rtf
An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich AZW
An Introduction to the Theory of Infinite Series (Classic Reprint), by Thomas John I'anson Bromwich Kindle
Tidak ada komentar:
Posting Komentar