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. From the Trade Paperback edition.
A Short Guide to the Boundless, Timeless and Endless
Author: John D. Barrow
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: Leonhard Euler
Publisher: Springer Science & Business Media
How can the infinite, a subject so remote from our finite experience, be an everyday working tool for the working mathematician? Blending history, philosophy, mathematics and logic, Shaughan Lavine answers this question with clarity. An account of the origins of the modern mathematical theory of the infinite, his book is also a defense against the attacks and misconceptions that have dogged this theory since its introduction in the late 19th century.
Author: Shaughan LAVINE
Publisher: Harvard University Press
A gargantuan, mind-altering comedy about the Pursuit of Happiness in America set in an addicts' halfway house and a tennis academy, and featuring the most endearingly screwed-up family to come along in recent fiction, Infinite Jest explores essential questions about what entertainment is and why it has come to so dominate our lives; about how our desire for entertainment affects our need to connect with other people; and about what the pleasures we choose say about who we are. Equal parts philosophical quest and screwball comedy, Infinite Jest bends every rule of fiction without sacrificing for a moment its own entertainment value. It is an exuberant, uniquely American exploration of the passions that make us human - and one of those rare books that renew the idea of what a novel can do.
Author: David Foster Wallace
Publisher: Back Bay Books
In this suspenseful, tender, and completely absorbing debut set in a perilous post-Katrina New Orleans and cartel-plagued Mexico, two teenagers discover a temporary haven in each other. “The Infinite is that rare, beautiful first novel, so contemporary and yet as timeless as first love itself. And Nick Mainieri does what great novelists do with their first great works. He creates unforgettable characters in young lovers Jonah and Luz who, both together and alone, navigate the rushing river of the borderlands that mark our two Americas. The Infinite is a heart song, and Nicholas Mainieri is one of our next great storytellers.”—Joseph Boyden, author of The Orenda and Three Day Road Jonah McBee has deep roots in New Orleans, but with hardly any family left, he half-heartedly is planning to enlist in the army after high school. Luz Hidalgo, an undocumented Latina and budding track star, followed her father there after Hurricane Katrina. Both have known loss. Both are struggling to imagine a new future. And when Jonah and Luz fall in love, it is intense, addictive, and real. But everything changes when Luz discovers that she’s pregnant. In a moment of panic, her father sends Luz back to Mexico so her grandmother can help raise the baby. Devastated, Jonah decides to take a road trip with his best friend when he doesn’t hear from her. Little does Jonah know, Luz is fighting for her life. Her trip has been cut short by a shocking act of violence, thrusting her into the endless cycle of bloodshed perpetrated by the cartels. So Luz does what she does best: She runs. And she goes farther and deeper than she ever imagined. A breathtaking portrait of post-Katrina New Orleans and a riveting descent into Mexico’s drug war, The Infinite is an utterly unique debut novel about the borders that divide us—and the truths that unite us.
Author: Nicholas Mainieri
By the author of the critically acclaimed Wild Awake, a beautiful coming-of-age story about deep friendship, the weight of secrets, and the healing power of nature. It's senior year of high school, and Annabeth is ready—ready for everything she and her best friend, Noe, have been planning and dreaming. But there are some things Annabeth isn't prepared for, like the constant presence of Noe's new boyfriend. Like how her relationship with her mom is wearing and fraying. And like the way the secret she's been keeping hidden deep inside her for years has started clawing at her insides, making it hard to eat or even breathe. But most especially, she isn't prepared to lose Noe. For years, Noe has anchored Annabeth and set their joint path. Now Noe is drifting in another direction, making new plans and dreams that don't involve Annabeth. Without Noe's constant companionship, Annabeth's world begins to crumble. But as a chain of events pulls Annabeth further and further away from Noe, she finds herself closer and closer to discovering who she's really meant to be—with her best friend or without. Hilary T. Smith's second novel is a gorgeously written meditation on identity, loss, and the bonds of friendship.
Author: Hilary T. Smith
Category: Young Adult Fiction
Until the Scientific Revolution, the nature and motions of heavenly objects were mysterious and unpredictable. The Scientific Revolution was revolutionary in part because it saw the advent of many mathematical tools—chief among them the calculus—that natural philosophers could use to explain and predict these cosmic motions. Michel Blay traces the origins of this mathematization of the world, from Galileo to Newton and Laplace, and considers the profound philosophical consequences of submitting the infinite to rational analysis. "One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion."—Margaret Wertheim, New Scientist
From the Closed World to the Mathematical Universe
Author: Michel Blay
Publisher: University of Chicago Press
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.
The Pleasures of Mathematics
Author: Robert Kaplan,Ellen Kaplan
Publisher: Bloomsbury Publishing USA
This historical study of the infinite covers all its aspects from the mathematical to the mystical. Anyone who has ever pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of the subject. Beginning with an entertaining account of the main paradoxes of the infinite, including those of Zeno, A.W. Moore traces the history of the topic from Aristotle to Kant, Hegel, Cantor, and Wittgenstein.
Author: A. W. Moore
Publisher: Psychology Press
Real-life psychic, near-death, and paranormal experiences are combined with cutting-edge science and vivid adventure stories in this energetic look at why extreme athletes and mountaineers take the risks that allow them to push the limits of consciousness, and what they encounter there. In the life-or-death world of extreme adventure sports, there is one thing that athletes often keep quiet about: the “forbidden” territory of paranormal experiences. Ranging from fleeting moments of transcendence to full-blown encounters with ghosts and everything in between—visions, near-death experiences, psychic communication—many extreme athletes have experienced these moments of connection with the beyond, but have been reluctant to talk about them. In Explorers of the Infinite, award-winning outdoors journalist and lifelong adventure sports devotee Maria Coffey probes the mystical and paranormal experiences of mountaineers, snowboarders, surfers, and more. She reviews cutting-edge science, and consults the history of philosophy and spirituality to answer the question: Could the state of intense “aliveness” that is the allure of extreme sports for so many actually be a route to a connection with the beyond? Coffey investigates the scientific explanations for mystical phenomena, ranging from simple explanations to theories from consciousness studies and quantum physics, and leaves us wondering where science ends and spirituality begins. An energetic, you-are-there look at the spiritual lives of extreme athletes, Explorers of the Infinite asks why extreme athletes take the risks that allow them to push the limits of consciousness, what they encounter there, and what we can learn from them.
The Secret Spiritual Lives of Extreme Athletes-and What They Reveal About Near-D eath Experiences, Psychic Communication, and Touching the Beyond
Author: Maria Coffey
Category: Sports & Recreation
People often lean towards either trusting their gut or being completely rational, but Ellen Tadd urges readers to consider a new approach that integrates soul, spirit, and personality. She guides readers in developing their own intuitive powers. According to Tadd, Spirit is the God Force that animates and empowers us and suffuses everyone and everything. But while Spirit is conscious and communicative, we haven't been taught to look for it. In fact, most of us have been conditioned not to look for it. When we choose spiritual attunement, we find ourselves able to engage more clearly and openly with life-even with its challenges, such as illness, death, loss, and feelings of anxiety, loneliness, fear, or inadequacy. The Infitinite Viewoffers the tools and insights needed to achieve attunement. Drawing on her personal narrative, as well as the experiences of her students, Tadd helps readers transform their understanding of themselves and the world around them.
A Guidebook for Life on Earth
Author: Ellen Tadd
Beautiful clairvoyant Cali Nytbird, psychic talent Chet Dillinger, and bestselling writer and medium Frost Crane are brought to Harrow by its new owner, Ivy Martin. Will they be powerful enough to exorcise the most haunted house in the world? New York Times bestselling author Douglas Clegg unleashes a spine-tingling supernatural chiller as ghost-hunting paranormal investigators converge on the mansion called Harrow to uncover the key to its infinite hauntings in Book 3 of the Harrow series. Who holds this key? Cali Nytbird, radio host of a psychic call-in show, is no stranger to psi abilities -- but is she strong enough to resist the ghostly seductions of Harrow? Chet Dillinger -- raised in squalor -- found he had a unique and wondrous talent early in life, but the pull of Harrow may overwhelm his psychic abilities -- or bring out his basest desires. Frost Crane, bestselling author, crossed into shadow to communicate with the dead -- and harbors an explosive secret as he enters the mansion of the damned. Harrow, they say, is the soul of madness itself. "A cavalcade of nightmares. Memorable for its evocative, disturbing imagery and haunting emotional insights, this novel adds a new chapter to horror's tradition of haunted house fiction." -- Publisher's Weekly "Clegg's stories can chill the spine so effectively that the reader should keep paramedics on standby." - Dean Koontz "Clegg is the best horror writer of the post-Stephen King generation."- Bentley Little, bestselling author of The Haunting. "Douglas Clegg has become the new star in horror fiction." - Peter Straub, NY Times bestselling author of The Talisman (with Stephen King) and Ghost Story. The Harrow Series: Book #1, Nightmare House - set at Harrow in the 1920s, the grandson of its creator has come to claim his deadly inheritance and explore the terrifying mystery within the ancient stones and passages of the house. #2, Mischief - Boys will be boys -- and a dark fraternity of misfits seek out Jim Hook, the new student at Harrow Academy -- but something more terrifying is hunting Jim, as well. #3, The Infinite - A handful of psychic investigators are called in to document the horrors of Harrow -- but little do they know that the house is more than simply a haunted place -- it may be the soul of evil itself. #4, The Abandoned -- In the village of Watch Point, New York, in the bucolic Hudson Valley, something toxic and horrifying has leaked from the old boarded-up mansion called Harrow. Throughout the town, people who sleep awaken with blood-lust in their hearts -- and hatchets in their fists. A rampage of mayhem, murder and madness begins -- and only those brave enough to enter Harrow may find a way to stop the terror. Harrow Prequel Novellas The Necromancer - set in the 1800s, this is the story of the young Justin Gravesend and his initiation into a terrifying mystery cult. Isis - set right at the end of the 1800s, the story of the young Iris Villiers when she discovers the terrible price that must be paid to speak with the dead. Look for other books by Douglas Clegg The Children’s Hour Goat Dance Purity Dark of the Eye The Words Wild Things Nightmare House Bad Karma Red Angel Night Cage Mischief The Infinite The Abandoned The Necromancer Isis The Hour Before Dark You Come When I Call You Naomi The Nightmare Chronicles The Machinery of Night Breeder The Attraction
Book Three of the Harrow Series
Author: Douglas Clegg
Publisher: Alkemara Press
College programmer Stranger is an anxiety ridden over-thinker who takes psychoactive drugs while contemplating the heretical philosophical gambit of techno-anarchy to Satanism. Masking this underlying nerdiness with the public persona of an alpha-male heavy drinking frat star, he's coming to age as a mixed kid whose parents were born during the Civil Rights movement; one generation removed, he is increasingly forced to confront the myths of a post-racial America. Oh, and because these daily identity crises didn't cause enough trouble, Stranger falls in love for the first time, despite never having had a girlfriend or sex sober. He's become enthralled with the demure, soulfully morbid Gunny, who not only has a boyfriend but self-esteem issues that manifest in the self-harm practice of cutting, and she isn't exactly ready to leave the one guy who's supported her throughout the addiction. But don't worry, Stranger doesn't navigate this collegiate underworld alone, he has a whole cast of equally brilliant but disturbed misfits for his hedonistic, poetical high-romance odyssey. And throughout the chronicles of these madcap, absurdest tales, Stranger learns of the limits to love and the pains to be temporary, of failing friendships and intimate escapades, of youth and the aging world.
Author: Nathaniel Schmeling
A surprising, convincing, and optimistic argument for meeting the crisis of scarcity with the power of ideas
The Power of Ideas on a Finite Planet
Author: Ramez Naam
Category: Technology & Engineering