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: Geoffrey A. Moore
Publisher: BenBella Books
ISBN: 1950665984
Category : Philosophy
Languages : en
Pages : 233

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NAUTILUS BOOK AWARD GOLD MEDALIST — BODY, MIND, SPIRIT PRACTICES “Combining an extraordinary range of scholarship with an accessible and entertaining writing style, The Infinite Staircase . . . provides a coherent and unified platform for a full human life.” —Midwest Book Review In this bold new book, high-tech’s best-known strategist makes a seminal contribution to the search for meaning in a secular era. Two questions fundamental to human existence have always been the metaphysical “where do I fit in the grand scheme of things?” and the ethical “how should I behave?” Religion is no longer a source of answers for many people, and nothing has replaced it. Moore uses his signature framework-based approach to answer these questions, taking us on an intellectual roller coaster ride through physics, chemistry, biology, the social sciences and the humanities. Along the way, he builds a metaphorical ladder that leads from the big bang to the need for ethical action in our daily lives. Combining an extraordinary range of scholarship with an accessible and entertaining writing style, The Infinite Staircase: What the Universe Tells Us About Life, Ethics, and Mortality provides a coherent and unified platform for a full human life.

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: A.W. Moore
Publisher: Routledge
ISBN: 1351381253
Category : Philosophy
Languages : en
Pages : 332

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Book Description
We are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God. In this acclaimed introduction to the infinite, A. W. Moore takes us on a journey back to early Greek thought about the infinite, from its inception to Aristotle. He then examines medieval and early modern conceptions of the infinite, including a brief history of the calculus, before turning to Kant and post-Kantian ideas. He also gives an account of Cantor’s remarkable discovery that some infinities are bigger than others. In the second part of the book, Moore develops his own views, drawing on technical advances in the mathematics of the infinite, including the celebrated theorems of Skolem and Gödel, and deriving inspiration from Wittgenstein. He concludes this part with a discussion of death and human finitude. For this third edition Moore has added a new part, ‘Infinity superseded’, which contains two new chapters refining his own ideas through a re-examination of the ideas of Spinoza, Hegel, and Nietzsche. This new part is heavily influenced by the work of Deleuze. Also new for the third edition are: a technical appendix on still unresolved questions about different infinite sizes; an expanded glossary; and updated references and further reading. The Infinite, Third Edition is ideal reading for anyone interested in an engaging and historically informed account of this fascinating topic, whether from a philosophical point of view, a mathematical point of view, or a religious point of view.

Author: Patience Agbabi
Publisher: Canongate Books
ISBN: 1786899663
Category : Juvenile Fiction
Languages : en
Pages : 218

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Book Description
'Vivid, funny, exciting and inventive' Philip Pullman 'Has a magic all of its own' Bernardine Evaristo 'What an inspiration. The future just got so much better' Benjamin Zephaniah FIGHT CRIME, ACROSS TIME! Leaplings, children born on the 29th of February, are very rare. Rarer still are Leaplings with The Gift – the ability to leap through time. Elle Bíbi-Imbelé Ifíè has The Gift, but she’s never used it. Until now. On her twelfth birthday, Elle and her best friend Big Ben travel to the Time Squad Centre in 2048. Elle has received a mysterious warning from the future. Other Leaplings are disappearing in time – and not everyone at the centre can be trusted. Soon Elle’s adventure becomes more than a race through time. It’s a race against time. She must fight to save the world as she knows it – before it ceases to exist . . .

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: D. Eric Maikranz
Publisher: Blackstone Publishing
ISBN: 1094154946
Category : Fiction
Languages : en
Pages : 354

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“For fans of The Matrix and Memento, a twisty, exciting adventure!”—Diana Gabaldon, #1 New York Times bestselling author of the Outlander series The basis for the major motion picture Infinite Discovered as three notebooks in an antique store in Rome at the turn of the millennium, The Reincarnationist Papers offers a tantalizing glimpse into the Cognomina, a secret society of people who possess total recall of their past lives. Evan Michaels struggles with being different, with having the complete memories of two other people who lived sequentially before him. He fights loneliness and believes he is unique until he meets Poppy. She recognizes his struggle because she is like him, except that she is much older, remembering seven consecutive lives. But there is something else she must share with Evan—she is a member of the secretive Cognomina. They are, in effect, immortals—compiling experiences and skills over lifetimes into near superhuman abilities that they have used to drive history over centuries. Poppy invites Evan into the Cognomina, but he must face their tests before entering this mysterious society as their equal.

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: Ashley Bryan
Publisher: Atheneum/Caitlyn Dlouhy Books
ISBN: 1534404902
Category : Juvenile Nonfiction
Languages : en
Pages : 120

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Recipient of a Coretta Scott King Illustrator Honor Award Recipient of a Bologna Ragazzi Non-Fiction Special Mention Honor Award A Kirkus Reviews Best Middle Grade Book of 2019 From celebrated author and illustrator Ashley Bryan comes a deeply moving picture book memoir about serving in the segregated army during World War II, and how love and the pursuit of art sustained him. In May of 1942, at the age of eighteen, Ashley Bryan was drafted to fight in World War II. For the next three years, he would face the horrors of war as a black soldier in a segregated army. He endured the terrible lies white officers told about the black soldiers to isolate them from anyone who showed kindness—including each other. He received worse treatment than even Nazi POWs. He was assigned the grimmest, most horrific tasks, like burying fallen soldiers…but was told to remove the black soldiers first because the media didn’t want them in their newsreels. And he waited and wanted so desperately to go home, watching every white soldier get safe passage back to the United States before black soldiers were even a thought. For the next forty years, Ashley would keep his time in the war a secret. But now, he tells his story. The story of the kind people who supported him. The story of the bright moments that guided him through the dark. And the story of his passion for art that would save him time and time again. Filled with never-before-seen artwork and handwritten letters and diary entries, this illuminating and moving memoir by Newbery Honor–winning illustrator Ashley Bryan is both a lesson in history and a testament to hope.

Author: Chris Walley
Publisher: Tyndale House Publishers, Inc.
ISBN: 1414329350
Category : Fiction
Languages : en
Pages : 589

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“Vero, you remember you once said there were people who would follow me to the gates of hell?” “A figure of speech.” “We’d better find them. That’s where we’re going.” After the defeat of the evil Dominion forces at Farholme, Commander Merral D’Avanos prepares a task force to rescue thirty hostages captured by the fleeing Margrave Lezaroth. Merral’s only hope is that he can get to the hostages before they’re taken to Lord-Emperor Nezhuala at the Blade of Night—the nexus of the Dominion’s power. But in order to get there, Merral and his crew will have to survive a perilous trip through Below Space. Meanwhile, news of the Dominion’s defeat at Farholme reaches Ancient Earth but is tempered by the sobering truth of the enemy’s growth and strength. It is now clear that an attack on the Assembly is imminent, but how far should the Assembly go to stop it? And does the real danger lie in the Dominion or in the subtle evil that has arrived at the heart of the Assembly itself? The Infinite Day is the thrilling conclusion to the epic Lamb among the Stars series that has readers and critics raving.