Download or read book An Introduction to Infinite Products written by Charles H. C. Little and published by Springer Nature. This book was released on 2022-01-10 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Infinite Series and Products written by J. N. Sharma and published by Krishna Prakashan Media. This book was released on 1991 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Green s Functions and Infinite Products written by Yuri A. Melnikov and published by Springer Science & Business Media. This book was released on 2011-08-30 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Green's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the two-dimensional Laplace equation and the infinite product representation of elementary functions. Every chapter begins with a review guide, outlining the basic concepts covered. A set of carefully designed challenging exercises is available at the end of each chapter to provide the reader with the opportunity to explore the concepts in more detail. Hints, comments, and answers to most of those exercises can be found at the end of the text. In addition, several illustrative examples are offered at the end of most sections. This text is intended for an elective graduate course or seminar within the scope of either pure or applied mathematics.
Download or read book The Infinite Game written by Simon Sinek and published by Penguin. This book was released on 2019-10-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the New York Times bestselling author of Start With Why and Leaders Eat Last, a bold framework for leadership in today’s ever-changing world. How do we win a game that has no end? Finite games, like football or chess, have known players, fixed rules and a clear endpoint. The winners and losers are easily identified. Infinite games, games with no finish line, like business or politics, or life itself, have players who come and go. The rules of an infinite game are changeable while infinite games have no defined endpoint. There are no winners or losers—only ahead and behind. The question is, how do we play to succeed in the game we’re in? In this revelatory new book, Simon Sinek offers a framework for leading with an infinite mindset. On one hand, none of us can resist the fleeting thrills of a promotion earned or a tournament won, yet these rewards fade quickly. In pursuit of a Just Cause, we will commit to a vision of a future world so appealing that we will build it week after week, month after month, year after year. Although we do not know the exact form this world will take, working toward it gives our work and our life meaning. Leaders who embrace an infinite mindset build stronger, more innovative, more inspiring organizations. Ultimately, they are the ones who lead us into the future.
Download or read book Theory and Application of Infinite Series written by Konrad Knopp and published by . This book was released on 1928 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trans from the 2nd German ed , pub 1923.
Download or read book Infinite Series written by James M Hyslop and published by Courier Corporation. This book was released on 2012-05-11 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Infinite Series and Products written by Demetrios P. Kanoussis and published by . This book was released on 2018-10-15 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to Analysis of the Infinite written by Leonhard Euler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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..."
Download or read book Infinite Elephants written by and published by . This book was released on 2018-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A year's worth of vibrantly illustrated art by Ramin Nazer. A beautiful hardcover book filled with humor, wisdom, and motivation.
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2007 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infinite Sequences and Series written by Konrad Knopp and published by Courier Corporation. This book was released on 2012-09-14 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Brands and Their Companies written by and published by . This book was released on 2003 with total page 2192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Johns Hopkins University Circular written by Johns Hopkins University and published by . This book was released on 1895 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes University catalogues, President's report, Financial report, etc.
Download or read book Infinite Vision written by Pavithra K. Mehta and published by Berrett-Koehler Publishers. This book was released on 2011 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Aravind Eye Hospital, based in India, is the world's largest provider of high-quality eye care. It is also one of the world's most incredible and revolutionary organizations - delivering surgical outcomes equal to or exceeding those in the developedworld at less than one percent of the cost, treating more than half of its patients free of charge, and taking no grants or donations. Aravind's success is so perplexing it has been the subject of a popular Harvard Business School case study. This is thefirst book to explore Aravind's history and the distinctive philosophies, practices, and commitments that are the keys to its success. Mehta and Shenoy share incredible stories about how Aravind grew from humble beginnings--founded by a retired ophthalmologist with no money or prior entrepre-neurial experience--to the world-class organization it is today. They explain the mysteries of a model that integrates innovation with empathy, service with business principles, and inner change with outer transformation. And they show how choices that seem foolish and unworkable can, when executed with compassion and integrity, yield powerful results - results that literally light the eyes of millions."--Provided by publisher.
Download or read book Circulars written by Johns Hopkins University and published by . This book was released on 1883 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book C Algebras and W Algebras written by Shoichiro Sakai and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for both the beginner and the expert." Mathematical Reviews
