An Introduction To The Theory Of Infinite Series PDF Download
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Author | : Thomas John I'Anson Bromwich |
Publisher | : American Mathematical Soc. |
Total Pages | : 564 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9780821839768 |
Download An Introduction to the Theory of Infinite Series Book in PDF, ePub and Kindle
Based on lectures on Elementary Analysis given at Queen's College, Galway, from 1902-1907, this title includes a discussion of the solution of linear differential equations of the second order; a discussion of elliptic function formulae; expanded treatment of asymptomatic series; and a discussion of trigonometrical series.
Author | : Ludmila Bourchtein |
Publisher | : Springer Nature |
Total Pages | : 388 |
Release | : 2021-11-13 |
Genre | : Mathematics |
ISBN | : 3030794318 |
Download Theory of Infinite Sequences and Series Book in PDF, ePub and Kindle
This textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning – the definition and elementary properties of sequences of numbers, and ending with advanced results of uniform convergence and power series. The text is aimed at university students specializing in mathematics and natural sciences, and at all the readers interested in infinite sequences and series. It is designed for the reader who has a good working knowledge of calculus. No additional prior knowledge is required. The text is divided into five chapters, which can be grouped into two parts: the first two chapters are concerned with the sequences and series of numbers, while the remaining three chapters are devoted to the sequences and series of functions, including the power series. Within each major topic, the exposition is inductive and starts with rather simple definitions and/or examples, becoming more compressed and sophisticated as the course progresses. Each key notion and result is illustrated with examples explained in detail. Some more complicated topics and results are marked as complements and can be omitted on a first reading. The text includes a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic techniques and test the understanding of key concepts. Other problems are more theoretically oriented and illustrate more intricate points of the theory, or provide counterexamples to false propositions which seem to be natural at first glance. Solutions to additional problems proposed at the end of each chapter are provided as an electronic supplement to this book.
Author | : Thomas John I'Anson Bromwich |
Publisher | : |
Total Pages | : 532 |
Release | : 1908 |
Genre | : History |
ISBN | : |
Download An Introduction to the Theory of Infinite Series Book in PDF, ePub and Kindle
An Introduction to the Theory of Infinite Series by Thomas John I'Anson Bromwich, first published in 1908, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.
Author | : THOMAS JOHN I'ANSON. BROMWICH |
Publisher | : |
Total Pages | : 0 |
Release | : 2018 |
Genre | : |
ISBN | : 9781033271216 |
Download INTRODUCTION TO THE THEORY OF INFINITE SERIES Book in PDF, ePub and Kindle
Author | : Charles H. C. Little |
Publisher | : Springer Nature |
Total Pages | : 258 |
Release | : 2022-01-10 |
Genre | : Mathematics |
ISBN | : 3030906469 |
Download An Introduction to Infinite Products Book in PDF, ePub and Kindle
This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.
Author | : Thomas John l'Anson Bromwich |
Publisher | : |
Total Pages | : 535 |
Release | : 1926 |
Genre | : Series, Infinite |
ISBN | : |
Download An Introduction to the Theory of Infinite Series Book in PDF, ePub and Kindle
Author | : T J I a Bromwich |
Publisher | : Gyan Books |
Total Pages | : 528 |
Release | : 2017 |
Genre | : |
ISBN | : 9789351285939 |
Download An Introduction To The Theory Of Infinite Series Book in PDF, ePub and Kindle
Author | : Konrad Knopp |
Publisher | : |
Total Pages | : 596 |
Release | : 1928 |
Genre | : Series, Infinite |
ISBN | : |
Download Theory and Application of Infinite Series Book in PDF, ePub and Kindle
Trans from the 2nd German ed , pub 1923.
Author | : Konrad Knopp |
Publisher | : Courier Corporation |
Total Pages | : 212 |
Release | : 2012-09-14 |
Genre | : Mathematics |
ISBN | : 0486152049 |
Download Infinite Sequences and Series Book in PDF, ePub and Kindle
Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more.
Author | : Leonhard Euler |
Publisher | : Springer Science & Business Media |
Total Pages | : 341 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461210216 |
Download Introduction to Analysis of the Infinite Book in PDF, ePub and Kindle
From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."