Infinite Series And Products
DOWNLOAD
FREE 30 Days
Download Infinite Series And Products PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Infinite Series And Products book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Infinite Series And Products
DOWNLOAD
FREE 30 Days
Author : J. N. Sharma
language : en
Publisher: Krishna Prakashan Media
Release Date : 1991
Infinite Series And Products written by J. N. Sharma and has been published by Krishna Prakashan Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Series, Infinite categories.
Infinite Series And Products Power Series
DOWNLOAD
FREE 30 Days
Author : S. K. Jain
language : en
Publisher:
Release Date : 2001-01-01
Infinite Series And Products Power Series written by S. K. Jain and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Infinite categories.
An Introduction To Infinite Products
DOWNLOAD
FREE 30 Days
Author : Charles H. C. Little
language : en
Publisher: Springer Nature
Release Date : 2022-01-10
An Introduction To Infinite Products written by Charles H. C. Little and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-10 with Mathematics categories.
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.
Infinite Series And Products
DOWNLOAD
FREE 30 Days
Author : Demetrios P. Kanoussis
language : en
Publisher:
Release Date : 2018-10-15
Infinite Series And Products written by Demetrios P. Kanoussis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-15 with categories.
This book is a complete and self contained presentation on the fundamentals of Infinite Series and Products and has been designed to be an excellent supplementary textbook for University and College students in all areas of Math, Physics and Engineering.Infinite Series and Products is a branch of Applied Mathematics with an enormous range of applications in various areas of Applied Sciences and Engineering.The Theory of Infinite Series and Products relies heavily on the Theory of Infinite Sequences and therefore the reader of this text is urged to refresh his/her background on Sequences and related topics.In our e-book "Sequences of Real and Complex Numbers" the reader will find an excellent introduction to the subject that will help him/her to follow readily the matter developed in the current text.The content of this book is divided into 11 chapters.In Chapter 1 we introduce the Σ and the Π notation which is widely used to denote infinite series and infinite products, respectively. In Chapter 2 we present some basic, fundamental concepts and definitions pertaining to infinite series, such as convergent series, divergent series, the infinite geometric series, etc.In Chapter 3 we introduce the extremely important concept of Telescoping Series and show how this concept is used in order to find the sum of an infinite series in closed form (when possible). In this chapter we also present a list of Telescoping Trigonometric Series, which arise often on various applications.In Chapter 4 we develop some general Theorems on Infinite Series, for example deleting or inserting or grouping terms in a series, the Cauchy's necessary and sufficient condition for convergence, the widely used necessary test for convergence, the Harmonic Series, etc.In Chapter 5 we study the Convergence Test for Series with Positive Terms, i.e. the Comparison Test, the Limit Comparison Test, the D' Alembert's Test, the Cauchy's n-th Root Test, the Raabe's Test, the extremely important Cauchy's Integral Test, the Cauchy's Condensation Test etc.In Chapter 6 we study the Alternating Series and the investigation of such series with the aid of the Leibnitz's Theorem.In Chapter 7 we introduce and investigate the Absolutely Convergent Series and the Conditionally Convergent Series, state some Theorems on Absolute and Conditional Convergence and define the Cauchy Product of two absolutely convergent series.In Chapter 8 we give a brief review of Complex Numbers and Hyperbolic Functions, needed for the development of series from real to complex numbers. We define the Complex Numbers and their Algebraic Operations and give the three representations i.e. the Cartesian, the Polar and the Exponential representation of the Complex Numbers. The famous Euler's Formulas and the important De Moivre's Theorem are presented and various interesting applications are given. In this chapter we also define the so called Hyperbolic Functions of real and complex arguments.In Chapter 9 we introduce the theory of Series with Complex Terms, define the convergence in the complex plane and present a few important Theorems which are particularly useful for the investigation of series with complex terms.In Chapter 10 we define the Multiple Series and show how to treat simple cases of such series.In Chapter 11 we present the fundamentals of the Infinite Products, give the necessary and sufficient condition for the convergence of Infinite Products and define the Absolute and Conditional Convergence of Products. In particular in this chapter we present the Euler's product formula for the sine function and show how Euler used this product to solve the famous Basel problem.The 63 illustrative examples and the 176 characteristic problems are designed to help students sharpen their analytical skills on the subject.
Sources In The Development Of Mathematics
DOWNLOAD
FREE 30 Days
Author : Ranjan Roy
language : en
Publisher:
Release Date : 2011
Sources In The Development Of Mathematics written by Ranjan Roy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
"The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment"--
Golden Sequences And Infinite Series
DOWNLOAD
FREE 30 Days
Author : N. P. Bali
language : en
Publisher: Firewall Media
Release Date : 2007
Golden Sequences And Infinite Series written by N. P. Bali and has been published by Firewall Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Infinite Series
DOWNLOAD
FREE 30 Days
Author : James M Hyslop
language : en
Publisher: Courier Corporation
Release Date : 2012-05-11
Infinite Series written by James M Hyslop and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-11 with Mathematics categories.
This concise text focuses on the convergence of real series. Topics include functions and limits, real sequences and series, series of non-negative terms, general series, series of functions, the multiplication of series, more. 1959 edition.
Infinite Sequences And Series
DOWNLOAD
FREE 30 Days
Author : Konrad Knopp
language : en
Publisher: Courier Corporation
Release Date : 2012-09-14
Infinite Sequences And Series written by Konrad Knopp and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Mathematics categories.
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.
An Infinite Series Approach To Calculus
DOWNLOAD
FREE 30 Days
Author : Susan Bassein
language : en
Publisher:
Release Date : 1993
An Infinite Series Approach To Calculus written by Susan Bassein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
Introduction To Finite And Infinite Series And Related Topics
DOWNLOAD
FREE 30 Days
Author : J. H. Heinbockel
language : en
Publisher: Trafford Publishing
Release Date : 2010-12
Introduction To Finite And Infinite Series And Related Topics written by J. H. Heinbockel and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12 with Mathematics categories.
An introduction to the analysis of finite series, infinite series, finite products and infinite products and continued fractions with applications to selected subject areas. Infinite series, infinite products and continued fractions occur in many different subject areas of pure and applied mathematics and have a long history associated with their development. The mathematics contained within these pages can be used as a reference book on series and related topics. The material can be used to augment the mathematices found in traditional college level mathematics course and by itself is suitable for a one semester special course for presentation to either upper level undergraduates or beginning level graduate students majoring in science, engineering, chemistry, physics, or mathematics. Archimedes used infinite series to find the area under a parabolic curve. The method of exhaustion is where one constructs a series of triangles between the arc of a parabola and a straight line. A summation of the areas of the triangles produces an infinite series representing the total area between the parabolic curve and the x-axis.