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.

    It can urge the reader to explore new methodologies to have maximum fun with numbers, and opt for a higher course in mathematics. The book was specifically designed to help the student community, and develop a strong affinity towards problem solving.the book offers many complicated, and interesting challenges for the user, keeping them engaged throughout. A large number of solved problems are also included in challenge and thrill of pre-college mathematics, to give readers an insight into the subject. The book can be an eye-opener for school students of class 7 and above. The materials given in the book are powerful enough to help them develop a strong interest for the subject. The concepts are explained in a simple and comprehensive manner, providing them with a good understanding of mathematical fundamentals.what makes the book distinct is its detailed sections on geometry, that can improve the reasoning skills of students. There are also detailed accounts on algebra and trigonometry, enhancing the competitive ability of the users. The topics such as combinatorics, number theory, and probability are also explained in detail, in the book. Each chapter was designed with the intention of motivating students to appreciate the excitement that mathematical problems can provide. Published in 2003 by new age international publishers, the book is available in paperback. Key features: the book includes a collection of more than 300 solved numerical problems, compiled from various national, as well as international mathematical olympiads.it is widely recommended by students and teachers, alike as an essential preparatory book for those writing competitive examinations.

    The New Astrology is such a system.For those convinced that there is nothing new under the sun--or the stars--Suzanne White offers a startling and provocative thesis: There are not 12 but 144 signs of the zodiac, each distinct, each unique, each vital to everyone's quest for self-understanding.By combining the astrological systems of the traditional Chinese (terrestrial) with that of the Occident (celestial), Suzanne White demonstrates that each of us is governed by two signs. Hence, a Capricorn Tiger is likely to be quite different from a Capricorn Cat, as is a Leo Dog from a Leo Dragon, and so on. This unique blend of Western and Chinese Astrology gives detailed analyses of each of the 144 signs, including individualized sections of love, sex and romance, business, money, careers, home life and compatibility (or lack of it) with other signs.Already a best-seller in France, The New Astrology is a massive undertaking and the result of more than a decade of research and study of the two systems. It offers insights into not only our own lives, but also those of all who are close to us. Suzanne White's prose is lucid, candid, and suffused with a sense of fun, but The New Astrology is above all a serious tool for self-awareness and understand the rich variety of human nature all around us.

    These teachings of Sage Vasistha imparted to Lord Rama, contain the true understanding about the creation of the world. The Supreme Yoga, with Romanised text, is a translation into English of this complete work and is accompanied by brief expositions by Swami Venkatesananda. This book brings this store house of wisdom to our world and makes the philosophy comprehensible to scholars and common people alike.The Yoga Vasistha has been a favourite book of spiritual seekers in India these several centuries. Its special appeal lies in its thoroughly rational approach. and in its presentation of Vedanta as a philosophy which dares, like the The Bhagavad Gita, to bridge the gulf between the secular and the sacred action and contemplation. in human life. through a comprehensive and lofty spirituality. The reader will come across passages such as the verse entry for 31 st January. highlighting the importance of reason:"The remark of even a child is to be accepted, if it is in accordance with reason: but the remark of even Brahma Himself; the creator of the world, is to be rejected like a piece of straw, if it does not accord with reason."It is this philosophy of a comprehensive spirituality. rational and practical. that man in the modern age needs to rescue himself from his stagnation of worldliness and put him on the high road of creative living and fulfilment.The text abounds in repetitions which are, however, not repetitious. If you do not like (or need) repetition, then readjust this one verse: "This world appearance is a confusion: even as the blueness of the sky is an optical illusion. I think it is better not to let the mind dwell on it, but to ignore it. "(I - 3/2) "This verse occurs several times in the scripture and it sems to be the very essence of the teaching. If that is not quite clear to you now, read the scripture. The numerous ways in which this truth IS revealed will help open your mind.An oft recurring expression in this scripture is 'kakataliya' - a crow alights on the coconut palm tree and at that very moment a ripe coconut falls. The two unrelated events thus seem to be related in time and space, though there is no causal relationship.Such is life. Such is 'creation'. But the mind caught up in its' own trap of logic questions why, invents a 'why' and a 'wherefore' to satisfy itself, conveniently ignoring the inconvenient questions that still haunt an intelligent mind.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    A Course given by Neville Goddard over 5 evenings, to include: Consciousness Is The Only Reality - Assumptions Harden Into Fact - Thinking Fourth - Dimensionally - No One To Change But Self - Remain Faithful To Your Idea

    Thanks to Bruce Kasanoff’s engaging writing and sage advice, this is an enjoyable book that’s full of new ideas to put into action immediately." -- Adam Grant, Wharton professor and bestselling author of Give and Take Do you feel uncomfortable blowing your own horn? Do you struggle to get your fair share of attention? If either is true, this little gem of a book is for you. It provides you with quick and effective tips on the most appropriate ways to make a name for yourself in our hyper-connected world. The book is organized around the author's "Simplify Your Future" framework for managing your career and life: Be generous and expert, trustworthy and clear, open-minded and adaptable, persistent and present.

    Bronowski was both a distinguished mathematician and a poet, a philosopher of science and a literary critic who wrote a well-known study of William Blake. Dr. Bronowski's very career was founded on the premise of an intimate connection between science and the humanities, disciplines which are still generally thought to be worlds apart.The Common Sense of Science, a book which remains as topical today as it was when it first appeared twenty-five years ago, articulates and develops Bronowski's provocative idea that the sciences and the arts fundamentally share the same imaginative vision.

    F.X. Schouppe, S.J., (Purgatory—Explained by the Lives and Legends of the Saints), has written here a similar book on the subject of Hell. While the basic Catholic doctrines on Hell are reviewed, he mainly recounts numerous true stories that reinforce belief in Hell and the eternity of its horrors. The subject of Hell is frightening but the purpose of this work is not sensationalistic or to terrify, but rather to present lucidly to readers the reality of Hell and to instill in them a firm dread of the loss of Heaven.We trust that reading this short volume will motivate many in their faith, bring others back to God and help people truly desire Salvation.

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    

    Never before in history have we been able to acquire, record, communicate, and use information in so many different forms. Never before have we had access to such vast quantities of data of every kind. This revolution goes far beyond the limitless content that fills our lives, because information also underlies our understanding of ourselves, the natural world, and the universe. It is the key that unites fields as different as linguistics, cryptography, neuroscience, genetics, economics, and quantum mechanics. And the fact that information bears no necessary connection to meaning makes it a profound puzzle that people with a passion for philosophy have pondered for centuries.Table of ContentsLECTURE 1The Transformability of Information 4LECTURE 2Computation and Logic Gates 17LECTURE 3Measuring Information 26LECTURE 4Entropy and the Average Surprise 34LECTURE 5Data Compression and Prefix-Free Codes 44LECTURE 6Encoding Images and Sounds 57LECTURE 7Noise and Channel Capacity 69LECTURE 8Error-Correcting Codes 82LECTURE 9Signals and Bandwidth 94LECTURE 10Cryptography and Key Entropy 110LECTURE 11Cryptanalysis and Unraveling the Enigma 119LECTURE 12Unbreakable Codes and Public Keys 130LECTURE 13What Genetic Information Can Do 140LECTURE 14Life’s Origins and DNA Computing 152LECTURE 15Neural Codes in the Brain 169LECTURE 16Entropy and Microstate Information 185LECTURE 17Erasure Cost and Reversible Computing 198LECTURE 18Horse Races and Stock Markets 213LECTURE 19Turing Machines and Algorithmic Information 226LECTURE 20Uncomputable Functions and Incompleteness 239LECTURE 21Qubits and Quantum Information 253LECTURE 22Quantum Cryptography via Entanglement 266LECTURE 23It from Bit: Physics from Information 281LECTURE 24The Meaning of Information 293

    It covered jazz, of course, but it also included Davis’s ruminations on race, politics and culture. Fascinated, Hef sent the writer—future Pulitzer-Prize-winning author Alex Haley, an unknown at the time—back to glean even more opinion and insight from Davis. The resulting exchange, published in the September 1962 issue, became the first official Playboy Interview and kicked off a remarkable run of public inquisition that continues today—and that has featured just about every cultural titan of the last half century.To celebrate the Interview’s 50th anniversary, the editors of Playboy have culled 50 of its most (in)famous Interviews and will publish them over the course of 50 weekdays (from September 4, 2012 to November 12, 2012) via Amazon’s Kindle Direct platform. Here is the interview with the novelist and philosopher Ayn Rand from the March 1964 issue.

    I’m Tim. I’m a single cell in society’s body. U.S. society, to be specific.So let me explain why we’re here.As a writer and a generally thinky person, I’ve spent a lot of my life thinking about the society I live in, and societies in general. I’ve always imagined society as a kind of giant human—a living organism like each of us, only much bigger.When you’re a single cell in the body of a giant, it’s hard to understand what the giant’s doing, or why it is the way it is, because you can’t really zoom out and look at the whole thing all at once. But we do our best.The thing is, when I’ve recently tried to imagine what society might look like, I haven’t really been picturing this:Giant stick figure: "I am grown up."Based on what I see around me, in person and online, it seems like my society is actually more like this:Giant stick figure throwing a giant tantrum because their chocolate ice cream fell on the ground.Individual humans grow older as they age—but it kind of seems like the giant human I live in has been getting more childish each year that goes by.So I decided to write a blog post about this. But then something else happened.When I told people I was planning to write a post about society, and the way people are acting, and the way the media is acting, and the way the government is acting, and the way everyone else is acting, people kept saying the same thing to me.Don’t do it. Don’t touch it. Write about something else. Anything else. It’s just not worth it.They were right. With so many non-controversial topics to write about, why take on something so loaded and risk alienating a ton of readers? I listened to people’s warnings, and I thought about moving on to something else, but then I was like, “Wait what? I live inside a giant and the giant is having a six-year-old meltdown in the grocery store candy section and that’s a not-okay thing for me to talk about?”It hit me that what I really needed to write about was that—about why it’s perilous to write about society."