What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted.Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics.From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

    From Simon & Schuster, The Eagles Quest is a story of a physicist finding the scientific truth at the heart of the Shamanic world.The Eagle's Quest is an exploration of shamanism and its interaction with quantum physics examines natural healing, shape shifting, fire walking, near-death and out-of body experiences, lucid dreaming, and time traveling.

    With his own research as well as that of some of the most distinguished scientists of our time, Schäfer moves us from a reality of Darwinian competition to cooperation, a meaningless universe to a meaningful one, and a disconnected, isolated existence to an interconnected one. In so doing, he shows us that our potential is infinite and calls us to live in accordance with the order of the universe, creating a society based on the cosmic principle of connection, emphasizing cooperation and community.

    But what exactly did the Stoics believe? In Lessons in Stoicism, philosopher John Sellars weaves together the key ideas of the three great Roman Stoics -- Seneca, Epictetus and Marcus Aurelius -- with snapshots of their fascinating lives, to show us how their ideas can help us today. In vivid prose, Sellars shows how the works of these three Stoics have inspired readers ever since, speaking as they do to some of the perennial issues that face anyone trying to navigate their way through life. Their works, fundamentally, are about how to live -- how to understand one's place in the world, how to cope when things don't go well, how to manage one's emotions and how to behave towards others. Consoling and inspiring, Lessons in Stoicism is a deeply thoughtful guide to the philosophy of a good life.

    A full fledged techie himself, he relates some classic philosophical reflections, his interviews with dozens of fellow techies, and his own personal take on his Catholic beliefs to provide, like a set of "worked out sample problems," the hard data on the challenges and joys of embracing a life of faith as a techie. And he also gives a roadmap of the traps that can befall an unwary techie believer. With lively prose and wry humor, Brother Guy shows how he not only believes in God but gives religion an honored place alongside science in his life. This book offers an engaging look at how--and why--scientists and those with technological leanings can hold profound, "unprovable" religious beliefs while working in highly empirical fields. Through his own experience and interviews with other scientists and engineers who profess faith, Brother Guy explores how religious beliefs and practices make sense to those who are deeply rooted in the world of technology.

    If you study Seneca, you'll be in good company. He was popular with the educated elite of the Greco-Roman Empire, but Thomas Jefferson also had Seneca on his bedside table. Thought leaders in Silicon Valley tout the benefits of Stoicism, and NFL management, coaches, and players alike - from teams such as the Patriots and Seahawks - have embraced it because the principles make them better competitors. Stoicism is a no-nonsense philosophical system designed to produce dramatic real-world effects. Think of it as an ideal operating system for thriving in high-stress environments. This is your guide. Length: 10 hrs 9 mins

    Everyone's wearing black. And on-stage a tenor is blowing his heart out, a searching, jagged saxophone journey played out against a moody, walking bass and the swish of a drummer's brushes. To a great many listeners--from African American aficionados of the period to a whole new group of fans today--this is the very embodiment of jazz. It is also quintessential hard bop. In this, the first thorough study of the subject, jazz expert and enthusiast David H. Rosenthal vividly examines the roots, traditions, explorations and permutations, personalities and recordings of a climactic period in jazz history. Beginning with hard bop's origins as an amalgam of bebop and R&B, Rosenthal narrates the growth of a movement that embraced the heavy beat and bluesy phrasing of such popular artists as Horace Silver and Cannonball Adderley; the stark, astringent, tormented music of saxophonists Jackie McLean and Tina Brooks; the gentler, more lyrical contributions of trumpeter Art Farmer, pianists Hank Jones and Tommy Flanagan, composers Benny Golson and Gigi Gryce; and such consciously experimental and truly one-of-a-kind players and composers as Andrew Hill, Sonny Rollins, John Coltrane, Thelonious Monk, and Charles Mingus. Hard bop welcomed all influences--whether Gospel, the blues, Latin rhythms, or Debussy and Ravel--into its astonishingly creative, hard-swinging orbit. Although its emphasis on expression and downright badness over technical virtuosity was unappreciated by critics, hard bop was the music of black neighborhoods and the last jazz movement to attract the most talented young black musicians. Fortunately, records were there to catch it all. The years between 1955 and 1965 are unrivaled in jazz history for the number of milestones on vinyl. Miles Davis's Kind of Blue, Charles Mingus's Mingus Ah Um, Thelonious Monk's Brilliant Corners, Horace Silver's Further Explorations--Rosenthal gives a perceptive cut-by-cut analysis of these and other jazz masterpieces, supplying an essential discography as well. For knowledgeable jazz-lovers and novices alike, Hard Bop is a lively, multi-dimensional, much-needed examination of the artists, the milieus, and above all the sounds of one of America's great musical epochs.

    However, it is one of the basic principles of quantum theory, the most widely accepted explanation of the subatomic world - and one of the fascinating subjects dealt with in Equations of Eternity.

    Beginning with the primordial sounds of nature, we have experienced an ever-increasing complexity of our sonic surroundings. As civilization develops, new noises rise up around us: from the creaking wheel, the clang of the blacksmith’s hammer, and the distant chugging of steam trains to the “sound imperialism” of airports, city streets, and factories. The author contends that we now suffer from an overabundance of acoustic information and a proportionate diminishing of our ability to hear the nuances and subtleties of sound. Our task, he maintains, is to listen, analyze, and make distinctions. As a society we have become more aware of the toxic wastes that can enter our bodies through the air we breathe and the water we drink. In fact, the pollution of our sonic environment is no less real. Schafer emphasizes the importance of discerning the sounds that enrich and feed us and using them to create healthier environments. To this end, he explains how to classify sounds, appreciating their beauty or ugliness, and provides exercises and “soundwalks” to help us become more discriminating and sensitive to the sounds around us. This book is a pioneering exploration of our acoustic environment, past and present, and an attempt to imagine what it might become in the future.

    Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.

    It is packed with fascinating information that I didn't know... I shall give it to lots of friends." —Jonathan Lynn, comedy legendA fascinating field guide from neuroscientist and opera singer Indre Viskontas that investigates what music is and how it can change us for the better—from deep in our neurons to across our entire society. Learn how certain songs carry us through a tough workout, comfort us after a breakup, or unite 50,000 diverse fans. A vibrant and smart gift for any audiophile—hip-hop fans, classically trained pianists, or vinyl collectors—readers will think about their favorite songs in a whole new way by the end of this book. • Find out how your mind transforms sounds into human experiences• Discover how music connects us, heals us, and changes us for the better • Learn from renowned musicians, neuroscientists, and authors"Indre Viskontas, combining her deep knowledge of neuroscience and music, has lifted the veil on the mysterious effects of music to move us, showing us not only how the human brain creates the magical patterns of music but also why music has the power to affect us like no other form of communication. An extremely important and inspiring book." —Robert Greene, best-selling author of The 48 Laws of PowerReaders of How Poetry Can Change Your Heartor The Psychology of Music will love this book• Music lovers and audiophiles• Musicians • Anyone interested in neuroscience

    To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

    He demonstrates how hero stories continue to shape our world – arguing that we need them now more than ever.From the Stone Age to the Greek Tragedies, from Shakespeare to Robin Hood, we have always had our heroes. The hero is at the centre of formative myths in every culture and persists to this day in world-conquering books, films and TV shows. But why do these characters continue to inspire us, and why are they so central to storytelling?Scalpel-sharp on the roots of storytelling and enlightening on the history and science of myth, The Hero is essential reading for anyone trying to write or understand fiction. Child teaches us how these stories still shape our minds and behaviour in an increasingly confusing modern world, and with his trademark concision and wit, demonstrates that however civilised we get, we’ll always need heroes.

    Along the way we’ll learn how selection bias can explain why your boss doesn’t know he sucks (even when everyone else does); how to use Bayes’ Theorem to decide if your partner is cheating on you; and why Mark Zuckerberg should never be used as an example for anything. See the world in a whole new light, and make better decisions and judgements without ever going near a t-test. Think. Think Statistically.

    Escher -- goes to some of the strangest spots imaginable. It takes us to a place where the purely intellectual enters our daily world: where our outraged senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller. Come along as Pickover traces the origins of the Mobius strip from the mid-1800s, when the visionary scientist Dr. August Mobius became the first to describe the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music. It has become a metaphor for change, strangeness, looping, and rejuvenation. Touching on everything from molecules and metal sculptures to postage stamps, architectural structures, and models of our entire universe, The Mobius Strip is lavishly illustrated and gives readers a glimpse into other worlds and new ways of thinking as Pickover reaches across cultures and dimensions.