The Prime Number Conspiracy: The Biggest Ideas in Math from Quanta


Thomas Lin - 2018
    The stories show that, as James Gleick puts it in the foreword, "inspiration strikes willy-nilly." One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a "bathroom sink epiphany" and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on "breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge."Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the "conspiracy" of the title); consider whether math is the universal language of nature (allowing for "a unified theory of randomness"); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question "Is mathematics good for you?"ContributorsAriel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie WolchoverCopublished with Quanta Magazine

Evolution of Geographical Thought


Majid Husain - 2004
    Presenting an introduction to the philosophy, history and methodology of geography, the book maps the intellectual changes in the discipline over the years. To keep the students abreast with the recent trends in geography, and its methodological problems, the book has been updated and revised, making it a comprehensive textbook on geographical thought. The main objective of the sixth edition is to incorporate a number of relevant new topics and concepts to streamline the text which may go a long way in expanding the geographical base of the interested students about the philosophy and methodology of geography. This new edition is presented in a larger format with all improved maps and illustrations. A whole new chapter now introduces to the students a contemporary sub-discipline of Feminist Geography. A new comprehensive list of biographic notes on selected geographers is also included in this edition. It is hoped that the present edition will prove of immense help for the students and teachers of geography alike. It will also serve the need of the aspirants of various competitive examinations, especially the Indian Administrative Service, the NET and other state level civil services examinations.

Emergence: The Connected Lives of Ants, Brains, Cities, and Software


Steven Johnson - 2001
    Explaining why the whole is sometimes smarter than the sum of its parts, Johnson presents surprising examples of feedback, self-organization, and adaptive learning. How does a lively neighborhood evolve out of a disconnected group of shopkeepers, bartenders, and real estate developers? How does a media event take on a life of its own? How will new software programs create an intelligent World Wide Web? In the coming years, the power of self-organization -- coupled with the connective technology of the Internet -- will usher in a revolution every bit as significant as the introduction of electricity. Provocative and engaging, Emergence puts you on the front lines of this exciting upheaval in science and thought.

Mind Hacks: Tips & Tools for Using Your Brain


Tom Stafford - 2004
    At any given time, the brain is collecting, filtering, and analyzing information and, in response, performing countless intricate processes, some of which are automatic, some voluntary, some conscious, and some unconscious.Cognitive neuroscience is one of the ways we have to understand the workings of our minds. It's the study of the brain biology behind our mental functions: a collection of methods--like brain scanning and computational modeling--combined with a way of looking at psychological phenomena and discovering where, why, and how the brain makes them happen.Want to know more? Mind Hacks is a collection of probes into the moment-by-moment works of the brain. Using cognitive neuroscience, these experiments, tricks, and tips related to vision, motor skills, attention, cognition, subliminal perception, and more throw light on how the human brain works. Each hack examines specific operations of the brain. By seeing how the brain responds, we pick up clues about the architecture and design of the brain, learning a little bit more about how the brain is put together.Mind Hacks begins your exploration of the mind with a look inside the brain itself, using hacks such as "Transcranial Magnetic Stimulation: Turn On and Off Bits of the Brain" and "Tour the Cortex and the Four Lobes." Also among the 100 hacks in this book, you'll find:Release Eye Fixations for Faster ReactionsSee Movement When All is StillFeel the Presence and Loss of AttentionDetect Sounds on the Margins of CertaintyMold Your Body SchemaTest Your HandednessSee a Person in Moving LightsMake Events Understandable as Cause-and-EffectBoost Memory by Using ContextUnderstand Detail and the Limits of AttentionSteven Johnson, author of "Mind Wide Open" writes in his foreword to the book, "These hacks amaze because they reveal the brain's hidden logic; they shed light on the cheats and shortcuts and latent assumptions our brains make about the world." If you want to know more about what's going on in your head, then Mind Hacks is the key--let yourself play with the interface between you and the world.

The Art of Computer Programming, Volume 1: Fundamental Algorithms


Donald Ervin Knuth - 1973
     -Byte, September 1995 I can't begin to tell you how many pleasurable hours of study and recreation they have afforded me! I have pored over them in cars, restaurants, at work, at home... and even at a Little League game when my son wasn't in the line-up. -Charles Long If you think you're a really good programmer... read [Knuth's] Art of Computer Programming... You should definitely send me a resume if you can read the whole thing. -Bill Gates It's always a pleasure when a problem is hard enough that you have to get the Knuths off the shelf. I find that merely opening one has a very useful terrorizing effect on computers. -Jonathan Laventhol This first volume in the series begins with basic programming concepts and techniques, then focuses more particularly on information structures-the representation of information inside a computer, the structural relationships between data elements and how to deal with them efficiently. Elementary applications are given to simulation, numerical methods, symbolic computing, software and system design. Dozens of simple and important algorithms and techniques have been added to those of the previous edition. The section on mathematical preliminaries has been extensively revised to match present trends in research. Ebook (PDF version) produced by Mathematical Sciences Publishers (MSP), http: //msp.org

Unknown Quantity: A Real and Imaginary History of Algebra


John Derbyshire - 2006
    As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.

A Textbook of Organic Chemistry


Arun Bahl - 2005
    Students , One of the distinctive featues of the text is its visual impact. Color graphics, illustrators, and molecular models and high resolution photos have been extensively used to highlight and reinforce the important points. Caolor has been used to highlight change and concepts. Table Of Contents: Getting Started2.Purification of Organic Compounds .Composition of Organic compounds 4.Empirical and Molecukar Formulae 5.Structure of Organic Molecules6.Organic Reaction and their Mechanism 7.Isomerism 8Nomenclature of Organiccompounds 9.Spectroscopy 10.Alkanes 11.Alkenes 12.Alkynes 13 Alkyl Halides------

Crypto: How the Code Rebels Beat the Government—Saving Privacy in the Digital Age


Steven Levy - 2001
    From Stephen Levy—the author who made "hackers" a household word—comes this account of a revolution that is already affecting every citizen in the twenty-first century. Crypto tells the inside story of how a group of "crypto rebels"—nerds and visionaries turned freedom fighters—teamed up with corporate interests to beat Big Brother and ensure our privacy on the Internet. Levy's history of one of the most controversial and important topics of the digital age reads like the best futuristic fiction.

Complete Biology for Cambridge IGCSE


Ron Pickering - 2014
    With plenty of engaging material, practice questions, and practical ideas, this updated edition contains everything your students need to succeed in Cambridge IGCSE biology.

Micro-Economic Theory


M.L. Jhingan - 1984
    

Elements of the Theory of Computation


Harry R. Lewis - 1981
    The authors are well-known for their clear presentation that makes the material accessible to a a broad audience and requires no special previous mathematical experience. KEY TOPICS: In this new edition, the authors incorporate a somewhat more informal, friendly writing style to present both classical and contemporary theories of computation. Algorithms, complexity analysis, and algorithmic ideas are introduced informally in Chapter 1, and are pursued throughout the book. Each section is followed by problems.

Six Degrees: The Science of a Connected Age


Duncan J. Watts - 2003
    Whether they bind computers, economies, or terrorist organizations, networks are everywhere in the real world, yet only recently have scientists attempted to explain their mysterious workings.From epidemics of disease to outbreaks of market madness, from people searching for information to firms surviving crisis and change, from the structure of personal relationships to the technological and social choices of entire societies, Watts weaves together a network of discoveries across an array of disciplines to tell the story of an explosive new field of knowledge, the people who are building it, and his own peculiar path in forging this new science.

Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century


Masha Gessen - 2009
    A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelman’s teachers, classmates, coaches, teammates, and colleagues in Russia and the United States—and informed by her own background as a math whiz raised in Russia—Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.

Internet of Things: A Hands- on Approach


Arshdeep Bahga - 2014
    It can also be used by IoT (Internet of Things) vendors and service providers for training their program developers. The authors have used an immersive 'hands on' approach, similar to the one adopted in the companion book, Cloud Computing: A Hands-on Approach, to help readers gain expertise in developing working code for real-world IoT applications.

Statistics Without Tears: An Introduction for Non-Mathematicians


Derek Rowntree - 1981
    With it you can prime yourself with the key concepts of statistics before getting involved in the associated calculations. Using words and diagrams instead of figures, formulae and equations, Derek Rowntree makes statistics accessible to those who are non-mathematicians. And just to get you into the spirit of things. Rowntree has included questions in his argument; answer them as you go and you will be able to tell how far you have mastered the subject.