Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.

    A modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.

    The problem with these libraries is that they contain books that are generally written by professionals for their peers. Where the Hell Is God? combines the best of the professional's insights with the author's own experience and insights to speculate on how believers can make sense of their Christian faith when experiencing tragedy and suffering. Starting with a very personal story of the author's sister being left a quadriplegic from a car accident twenty years ago, Where the Hell Is God? gently leads the reader through some "take-home" messages that are sane, sound, and practical. Among these messages are: God does not directly send pain, suffering, and disease. God does not punish us; God does not send accidents to teach us things, though we can learn from them; and God does not will earthquakes, floods, droughts, or other natural disasters. This concise, accessible, and experience-based book will help people who are suffering as well as those who minister to them and their families.

    This hugely informative and wonderfully entertaining little book answers one hundred essential questions about existence. It unravels the knotty, clarifies the conundrums and sheds light into dark corners. From winning the lottery, placing bets at the races and escaping from bears to sports, Shakespeare, Google, game theory, drunks, divorce settlements and dodgy accounting; from chaos to infinity and everything in between, 100 Essential Things You Didn't Know You Didn't Know has all the answers!

    REVISED AND RE-EDITED BY FATHER HILARION DUERK, O.F.M.

    Through a skillful combination of historical narrative, cultural criticism and theological analysis, the author demonstrates how fascism, perhaps unknowingly, affects our thinking. The author also offers guidance and hope for those shaken by ideological crosscurrents as he convincingly demonstrates that Christian theology does not stifle the truth.

    Schall cites Charlie Brown, Aristotle, and Samuel Johnson with the same sobriety-the sobriety that sees the truth in what is delightful and even amusing. Schall contends that singing, dancing, playing, contemplating, and other "useless" human activities are not merely forms of escape from more important things-politics, work, social activism, etc.-but an indication of the freedom in and for which men and women were created. Echoing philosophers such as Josef Pieper, Schall explains how the modern world has inverted the rational order of human affairs, devaluing the activities of leisure and placing an exaggerated emphasis on utilitarian concerns.  Though he does not deny the importance of those necessary and prosaic activities that take up the bulk of our daily lives, Schall puts these pursuits in perspective by asking, what do we do when everything we have to do is done? Defending the importance of simply wasting time, losing ourselves in play, and Chesterton's claim that "a thing worth doing is worth doing badly," Schall contends that the joy that accompanies leisure, festivity, and conviviality gives us a glimpse of the eternal.  Such activities also enable us to get beyond ourselves - indeed call us beyond ourselves - and are therefore essential if we are to rightly order our worldly concerns.  For as Schall reminds us, neither man nor his projects are the highest things in the universe, and it is only by understanding this fact that man can attain to his true dignity. Citing Aristotle, Samuel Johnson, Charlie Brown, and New Yorker cartoons with equal sobriety, Schall unfolds a defense of both Being and being, of the radi

    The End of Faith. The God Delusion. God Is Not Great. Letter to a Christian Nation. Bestseller lists are filled with doubters. But what happens when you actually doubt your doubts?Although a vocal minority continues to attack the Christian faith, for most Americans, faith is a large part of their lives: 86 percent of Americans refer to themselves as religious, and 75 percent of all Americans consider themselves Christians. So how should they respond to these passionate, learned, and persuasive books that promote science and secularism over religion and faith? For years, Tim Keller has compiled a list of the most frequently voiced “doubts” skeptics bring to his Manhattan church. And in The Reason for God, he single-handedly dismantles each of them. Written with atheists, agnostics, and skeptics in mind, Keller also provides an intelligent platform on which true believers can stand their ground when bombarded by the backlash. The Reason for God challenges such ideology at its core and points to the true path and purpose of Christianity.Why is there suffering in the world? How could a loving God send people to Hell? Why isn’t Christianity more inclusive? Shouldn’t the Christian God be a god of love? How can one religion be “right” and the rest “wrong”? Why have so many wars been fought in the name of God? These are just a few of the questions even ardent believers wrestle with today. In this book, Tim Keller uses literature, philosophy, real-life conversations and reasoning, and even pop culture to explain how faith in a Christian God is a soundly rational belief, held by thoughtful people of intellectual integrity with a deep compassion for those who truly want to know the truth.

    This concept is at the root of the computational worldview, which basically says that very complex systems — the world we live in — have their beginnings in simple mathematical equations. We've lately come to understand that such an algorithm is only the start of a never-ending story — the real action occurs in the unfolding consequences of the rules. The chip-in-a-box computers so popular in our time have acted as a kind of microscope, letting us see into the secret machinery of the world. In Lifebox, Rucker uses whimsical drawings, fables, and humor to demonstrate that everything is a computation — that thoughts, computations, and physical processes are all the same. Rucker discusses the linguistic and computational advances that make this kind of "digital philosophy" possible, and explains how, like every great new principle, the computational world view contains the seeds of a next step.

    Hodges Supreme Court decision in 2015, sexual identity has dominated both public discourse and cultural trends--and yet, no historical phenomenon is its own cause. From Augustine to Marx, various views and perspectives have contributed to the modern understanding of self. In The Rise and Triumph of the Modern Self, Carl Trueman carefully analyzes the roots and development of the sexual revolution as a symptom, rather than the cause, of the human search for identity. This timely exploration of the history of thought behind the sexual revolution teaches readers about the past, brings clarity to the present, and gives guidance for the future as Christians navigate the culture's ever-changing search for identity.

    false Christianity? In the days of the Protestant Reformation, the core tenets of the faith were strenuously examined. In the end, the Reformers maintained that at the heart of the Christian faith stood five main credos: sola Scriptura, sola gratia, sola fide, solus Christus, and soli Deo gloria. This book examines these five "solas" and makes a definitive case for why we're Protestant.

    Philosopher Peter Kreeft explains in this book that the More includes "The Absolute Good, Platonic Forms, God, gods, angels, spirits, ghosts, souls, Brahman, Rta (the Hindu ontological basis for cosmological karma), Nirvana, Tao, 'the will of Heaven', The Meaning of It All, Something that deserves a capital letter."With razor-sharp reasoning and irrepressible joy, Kreeft helps us to find the doors in the walls of the world. Drawing on history, physical science, psychology, religion, philosophy, literature, and art, he invites us to welcome what lies on the other side of these doors, and to begin living the life of Heaven in the here and now.

    From the first lesson to the last, each chapter introduces games of increasing complexity and then teaches the game theoretical tools necessary to solve them. Inside, you will find: All the basics fully explained, including pure strategy Nash equilibrium, mixed strategy Nash equilibrium, the mixed strategy algorithm, how to calculate payoffs, strict dominance, weak dominance, iterated elimination of strictly dominated strategies, iterated elimination of weakly dominated strategies, and more! Dozens of games solved, including the prisoner's dilemma, stag hunt, matching pennies, zero sum games, battle of the sexes/Bach or Stravinsky, chicken/snowdrift, pure coordination, deadlock, and safety in numbers! Crystal clear, line-by-line calculations of every step, with more than 200 images so you don't miss a thing! Tons of applications: war, trade, game shows, and duopolistic competition. Quick, efficient, and to the point, Game Theory 101: The Basics is perfect for introductory game theory, intermediate microeconomics, and political science.

    Written in a concise style which is knowledgeable, yet not overly-academic. The questions addressed are the most common and modern questions popularly asked.

    Who invented zero? Why are there 60 seconds in a minute? Can a butterfly's wings really cause a storm on the far side of the world? In 50 concise essays, Professor Tony Crilly explains the mathematical concepts that allow use to understand and shape the world around us.