Introduction to Analysis of the Infinite

Introduction to Analysis of the Infinite
Author: Leonhard Euler
Publisher: Springer Science & Business Media
Total Pages: 341
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461210216

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..."

The Infinite Book

The Infinite Book
Author: John D. Barrow
Publisher: Vintage
Total Pages: 293
Release: 2007-12-18
Genre: Philosophy
ISBN: 0307428761

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.

The Beginning of Infinity

The Beginning of Infinity
Author: David Deutsch
Publisher: Penguin UK
Total Pages: 571
Release: 2011-03-31
Genre: Science
ISBN: 0141969695

'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman

Infinite Sacrifice

Infinite Sacrifice
Author: L.E. Waters
Publisher: Rock Castle Publishing
Total Pages: 282
Release: 2011-11-11
Genre: Fiction
ISBN: 098391110X

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

Life on the Infinite Farm

Life on the Infinite Farm
Author: Richard Evan Schwartz
Publisher: American Mathematical Soc.
Total Pages: 178
Release: 2018
Genre: Juvenile Nonfiction
ISBN: 1470447363

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

The Infinite Library

The Infinite Library
Author: Kane X. Faucher
Publisher:
Total Pages: 0
Release: 2011
Genre: Ciphers
ISBN: 9780984603787

This is book I in a triology. The other titles : The infinite atrocity and The infinite grey.

Infinite Powers

Infinite Powers
Author: Steven Strogatz
Publisher: Mariner Books
Total Pages: 389
Release: 2019
Genre: Biography & Autobiography
ISBN: 1328879984

This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.

The Infinite Game

The Infinite Game
Author: Simon Sinek
Publisher: Penguin
Total Pages: 272
Release: 2019-10-15
Genre: Business & Economics
ISBN: 0735213526

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.

Understanding the Infinite

Understanding the Infinite
Author: Shaughan Lavine
Publisher: Harvard University Press
Total Pages: 386
Release: 1998-01-13
Genre: Philosophy
ISBN: 0674039998

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.

Together is Better

Together is Better
Author: Simon Sinek
Publisher: Penguin UK
Total Pages: 158
Release: 2016-09-13
Genre: Business & Economics
ISBN: 0241972248

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.