Introduction to Analysis of the Infinite PDF Download

Author: Leonhard Euler
Publisher: Springer Science & Business Media
ISBN: 1461210216
Category : Mathematics
Languages : en
Pages : 341

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Book Description
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..."

Author: John D. Barrow
Publisher: Vintage
ISBN: 0307428761
Category : Philosophy
Languages : en
Pages : 293

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Book Description
For a thousand years, infinity has proven to be a difficult and illuminating challenge for mathematicians and theologians. It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into ever-smaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe. Now Infinity is the darling of cutting edge research, the measuring stick used by physicists, cosmologists, and mathematicians to determine the accuracy of their theories. From the paradox of Zeno’s arrow to string theory, Cambridge professor John Barrow takes us on a grand tour of this most elusive of ideas and describes with clarifying subtlety how this subject has shaped, and continues to shape, our very sense of the world in which we live. The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity.

Author: Simon Sinek
Publisher: Penguin
ISBN: 0735213526
Category : Business & Economics
Languages : en
Pages : 272

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Book Description
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.

Author: Shaughan Lavine
Publisher: Harvard University Press
ISBN: 0674265335
Category : Mathematics
Languages : en
Pages : 262

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Book Description
An accessible history and philosophical commentary on our notion of infinity. How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge. Praise for Understanding the Infinite “Understanding the Infinite is a remarkable blend of mathematics, modern history, philosophy, and logic, laced with refreshing doses of common sense. It is a potted history of, and a philosophical commentary on, the modern notion of infinity as formalized in axiomatic set theory . . . An amazingly readable [book] given the difficult subject matter. Most of all, it is an eminently sensible book. Anyone who wants to explore the deep issues surrounding the concept of infinity . . . will get a great deal of pleasure from it.” —Ian Stewart, New Scientist “How, in a finite world, does one obtain any knowledge about the infinite? Lavine argues that intuitions about the infinite derive from facts about the finite mathematics of indefinitely large size . . . The issues are delicate, but the writing is crisp and exciting, the arguments original. This book should interest readers whether philosophically, historically, or mathematically inclined, and large parts are within the grasp of the general reader. Highly recommended.” —D. V. Feldman, Choice

Author: L.E. Waters
Publisher: Rock Castle Publishing
ISBN: 098391110X
Category : Fiction
Languages : en
Pages : 282

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Book Description
Maya’s shocked to discover it’s not the heaven she imagined; in fact, a life of adventure begins the moment you die. Zachariah, her faithful spirit guide, explains the rules of the dead: in order to regain complete awareness and reunite with loved ones all souls must review their previous lives. Maya plunges warily into her turbulent pasts as a sociopathic High Priest in ancient Egypt; an independent mother protecting a dangerous secret in glorious Sparta; an Irish boy kidnapped and enslaved by Vikings; and a doctor’s wife forced to make an ethical stand in plague-ridden England. All the while, Maya yearns to be with those she cares about most and worries that she hasn’t learned all of heaven’s most vital lessons. Will she be forced to leave the tranquility of heaven to survive yet another painful and tumultuous life? Or worse, accept the bitter reality of having to go back alone? Free, freebie

Author: Simon Sinek
Publisher: Penguin UK
ISBN: 0241972248
Category : Business & Economics
Languages : en
Pages : 158

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Book Description
Most of us live our lives by accident - we live as it happens. Fulfilment comes when we live our lives on purpose. 'What are you going to do with your life? What are you doing with your life now?' 'Do you have goals? A vision? A clear sense of why you do what you do?' Almost everyone knows someone who has grappled with at least one of these questions. The answers can often seem elusive or uncertain. Though there are many paths to follow into the unknown future, there is one way that dramatically increases the chances we will enjoy the journey. To travel with someone we trust. We can try to build a successful career or a happy life alone, but why would we? Together is better. This unique and delightful little book makes the point that together is better in a quite unexpected way. Simon Sinek, bestselling author of Start With Why and Leaders Eat Last, blends the wisdom he has gathered from around the world with a heartwarming, richly illustrated original fable. Working hard for something we don't care about is called stress. Working hard for something we love is called passion.

Author: Jorge Luis Borges
Publisher: Dutton Books
ISBN:
Category : Fiction
Languages : en
Pages : 136

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Book Description
Thirteen new stories by the celebrated writer, including two which he considers his greatest achievements to date, artfully blend elements from many literary geares.

Author: Charles H. C. Little
Publisher: Springer Nature
ISBN: 3030906469
Category : Mathematics
Languages : en
Pages : 258

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Book Description
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: Robert Kaplan
Publisher: Bloomsbury Publishing USA
ISBN: 1608198693
Category : Mathematics
Languages : en
Pages : 417

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Book Description
Traces the development of mathematical thinking and describes the characteristics of the "republic of numbers" in terms of humankind's fascination with, and growing knowledge of, infinity.

Author: Richard Evan Schwartz
Publisher: American Mathematical Soc.
ISBN: 1470447363
Category : Juvenile Nonfiction
Languages : en
Pages : 178

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Book Description
Mathematics professor from Brown University uses colorful illustrations and cartoons to display the concepts of infinity and large numbers.