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Elements of Real Analysis by Shanti Narayan


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Saucer Wisdom


Rudy Rucker - 1999
    That's an odd way to begin a work of popular science . . . . but amusing.Please heed the warning from the Introduction by Bruce Sterling: "If you are examining Saucer Wisdom imagining that Rudy (or some fictional 'Frank Shook') has been actually logging a lot of on board saucer time, well, you can knock that off right now. Rudy Rucker made up the flying saucer part. There is no actual flying saucer. The saucer is not an interplanetary faster-than-light device. Its what we professional authors like to call a narrative device."I'm going to spill the beans as directly as I can here: Saucer Wisdom is a work of popular science speculation. Its a nonfiction book in which Prof. Rucker takes a few quirky grains of modern scientific fact, drops them into the colorful tide pool of his own imagination, and harvests a major swarm of abalones, jellyfish, and giant anemones."Pop-science writers didn't used to treat 'science' in this boisterous way, but there might well be a trend here, there may be a real future in this. Saucer Wisdom is a book by a well-qualified mathematician and computer scientist, a veteran pop science writer, in which 'science' is treated, not as some distant and rarefied quest for absolute knowledge, but as naturally great source material for a really long, cool rant."Rucker, in character, describes, and illustrates with delightful cartoon sketches (the way he would use chalk and a blackboard while talking science), the world of the progressively more distant future as it is transformed by computer technology, biotechnology, and human evolution. He also describes a hell of a party in Berkeley. Popular science writing will never be the same.

Abstract Algebra


I.N. Herstein - 1986
    Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.

Introductory Linear Algebra: An Applied First Course


Bernard Kolman - 1988
    Calculus is not a prerequisite, although examples and exercises using very basic calculus are included (labeled Calculus Required.) The most technology-friendly text on the market, Introductory Linear Algebra is also the most flexible. By omitting certain sections, instructors can cover the essentials of linear algebra (including eigenvalues and eigenvectors), to show how the computer is used, and to introduce applications of linear algebra in a one-semester course.

In Praise of Mathematics


Alain Badiou - 2015
    Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

The Man Who Counted Infinity and Other Short Stories from Science, History and Philosophy


Sašo Dolenc - 2012
    The objective here is to explain science in a simple, attractive and fun form that is open to all.The first axiom of this approach was set out as follows: “We believe in the magic of science. We hope to show you that sci-ence is not a secret art, accessible only to a dedicated few. It involves learning about nature and society, and aspects of our existence which affect us all, and which we should all therefore have the chance to understand. We shall interpret science for those who might not speak its language fluently, but want to understand its meaning. We don’t teach, we just tell stories about the beginnings of science, the natural phenomena and the underlying principles through which they occur, and the lives of the people who discovered them.”The aim of the writings collected in this series is to present some key scientific events, ideas and personalities in the form of short stories that are easy and fun to read. Scientific and philo-sophical concepts are explained in a way that anyone may under-stand. Each story may be read separately, but at the same time they all band together to form a wide-ranging introduction to the history of science and areas of contemporary scientific research, as well as some of the recurring problems science has encountered in history and the philosophical dilemmas it raises today.Review“If I were the only survivor on a remote island and all I had with me were this book, a Swiss army knife and a bottle, I would throw the bottle into the sea with the note: ‘Don’t worry, I have everything I need.’”— Ciril Horjak, alias Dr. Horowitz, a comic artist“The writing is understandable, but never simplistic. Instructive, but never patronizing. Straightforward, but never trivial. In-depth, but never too intense.”— Ali Žerdin, editor at Delo, the main Slovenian newspaper“Does science think? Heidegger once answered this question with a decisive No. The writings on modern science skillfully penned by Sašo Dolenc, these small stories about big stories, quickly convince us that the contrary is true. Not only does science think in hundreds of unexpected ways, its intellectual challenges and insights are an inexhaustible source of inspiration and entertainment. The clarity of thought and the lucidity of its style make this book accessible to anyone … in the finest tradition of popularizing science, its achievements, dilemmas and predicaments.”— Mladen Dolar, philosopher and author of A Voice and Nothing More“Sašo Dolenc is undoubtedly one of our most successful authors in the field of popular science, possessing the ability to explain complex scientific achievements to a broader audience in a clear and captivating way while remaining precise and scientific. His collection of articles is of particular importance because it encompasses all areas of modern science in an unassuming, almost light-hearted manner.”— Boštjan Žekš, physicist and former president of the Slovenian Academy of Sciences and Arts

MacArthur's Luck: The race for Berlin is on! (The Fortunes of War)


Steven H. Newton - 2017
    His successor as US Army Chief of Staff, General Douglas MacArthur, flies halfway around the world to butt heads with Josef Stalin and change history.When MacArthur relieves General Dwight D. Eisenhower from command in Europe, the Anglo-Allied advance devolves into a free-for-all as competing armies race for Berlin, and the changes echo across the globe. Here are just a few of the highlights from MacArthur’s Luck:Captain Jackie Robinson leads an armored task force across the Rhine. ...Major Barry Goldwater fire-bombs Tokyo. ...Commander Robert Heinlein struggles to save his wounded ship from kamikazes off Okinawa. ...Field Marshals Georgi Zhukov and Ivan Konev clash on the road to Berlin. ...SS-Obergruppenfuehrer Karl Wolff dares everything to negotiate a separate surrender to the Americans. ...Populated by a cast of realistic characters who will take you inside the American, German, Soviet, and Japanese military machines, and meticulously researched by a well-known military historian, MacArthur’s Luck opens The Fortunes of War series, exploring a world both tantalizingly like our own, but also dramatically different.Half the fun is figuring out what’s real, and what’s not.

Quantum Faith®


Annette Capps - 2003
    The concept of speaking to mountains and trees may not be religious metaphor, but laws of a new physics that have not been fully understood. Jesus taught that our words are powerful enough to move physical matter. Quantum physics has discovered that subatomic particles respond to the observer. In this book, you will discover that your words and your faith (beliefs) are unseen forces that affect everything in your world. You are the one giving substance to your world through words!

The Calculus Lifesaver: All the Tools You Need to Excel at Calculus


Adrian Banner - 2007
    The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it.All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an inner monologue--the train of thought students should be following in order to solve the problem--providing the necessary reasoning as well as the solution. The book's emphasis is on building problem-solving skills. Examples range from easy to difficult and illustrate the in-depth presentation of theory.The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus.Serves as a companion to any single-variable calculus textbookInformal, entertaining, and not intimidatingInformative videos that follow the book--a full forty-eight hours of Banner's Princeton calculus-review course--is available at Adrian Banner lecturesMore than 475 examples (ranging from easy to hard) provide step-by-step reasoningTheorems and methods justified and connections made to actual practiceDifficult topics such as improper integrals and infinite series covered in detailTried and tested by students taking freshman calculus

The Adventures of a Pumpkin and a Running Back Boy (I Sold Myself to the Devil for Vinyls...Pitiful I Know #2.5)


Kay Darali (DarknessAndLight) - 2016
    Because their love story is too interesting to ever have a end.Follow Blake and Lexi through the years!

E=MC2: Simple Physics: Why Balloons Rise, Apples Fall & Golf BallsGo Awry


Jeff Stewart - 2010
    With amusing examples from film, TV, and history, learn how physics affects everything in your surroundings--without the use of mind-bending math or the need for a particle accelerator. With E=MC2, you'll learn: When forces balance: Simple answers to questions such as, "Why do balloons rise while apples fall?" The Good, the Bad, and the Impossible: Why The Good, the Bad, and the Ugly is full of absurdities. (For someone whose characters often uphold the law, Clint Eastwood certainly defies the laws of physics in this film.) AC/DC: but only AC really rocks: Alternating current (AC) is much more complicated than direct current (DC). The voltage is constantly moving between positive and negative; the current therefore flows one way, and then the other (rocking back and forth). Why do I feel this warm glow?: The theory behind how the first stars were born General Relativity and GPS: The strange result of gravity on time is well proven. Compared to the interminable time you experience while stuck in a traffic jam, time literally runs faster (because gravity is weaker) in the orbiting GPS satellites that help your GPS system get its fix. At the speed of light: A refresher on the theory of relativity and an understanding of why--a hundred years later--Einstein's physics still points the way in cutting-edge research. Yu again: In the martial arts movie Crouching Tiger, Hidden Dragon, the rebellious young heroine, Jen Yu, blocks an attacker with her hand without standing or bracing herself. All the while, she holds a cup of tea in her other hand and doesn't spill a drop. Find out why kinetic energy and scalar quantity make her move impossible. It's physics for the rest of us. So why not come along for the ride? Advance at the speed of light through the fundamental laws of physics as they were discovered, proven wrong, and revolutionized. Make this and all of the Blackboard Books(tm) a permanent fixture on your shelf, and you'll have instant access to a breadth of knowledge. Whether you need homework help or want to win that trivia game, this series is the trusted source for fun facts.

Geek Logik: 50 Foolproof Equations for Everyday Life


Garth Sundem - 2006
    Call it the algebra oracle: By plugging in the right variables, GEEK LOGIK answers life’s most persistent questions. It covers Dating and Romance, Career and Finance, and everyday decisions like Should I get a tattoo? Can I still wear tight jeans? Is it time to see a therapist? How many beers should I have at the company picnic? How does it work? Take a simple issue that comes up once or twice a week: Should I call in sick? Fill in the variables honestly, such as D for doctor’s note (enter 1 for “no,†10 for “yes,†and 5 for “yes, but it’s a forgeryâ€), R for importance of job (1-10, with 10 being “personally responsible for Earth’s orbit around Sunâ€), Fj for how much fun you have at work (1-10, with 10 being “personal trainer for underwear modelsâ€), N for how much you need the money (1-10, with 10 being “I owe the mobâ€), then do the math, and voilà—if the product, Hooky, is greater than 1, enjoy your very own Ferris Bueller’s Day Off. Includes a pocket calculator so that prospective geeks can immediately solve the equation on the back cover: Should I buy this book?

The Particles of the Universe


Jeff Yee - 2012
    Everything around us, including matter, is energy. A deep look into the mysteries of the subatomic world – the particles that make up the atom – provides answers to basic questions about how the universe works. To solve the future of mankind’s energy needs we need to understand the basic building blocks of the universe, including the atom and its parts. By exploring the subatomic world we’ll find more answers to our questions about time, forces like gravity and the matter that surrounds us. More importantly, we’ll find new ways to tap into the energy that exists around us to power our growing needs. In a new branch of particle physics, where tiny particles are thought of as energy waves, we find new answers that may help us in our quest to find alternative energy sources.

The Holographic Universe


Michael Talbot - 1991
    Now, two of the world's most eminent thinkers -- University of London physicists David Bohm, a former protege of Einstein's and one of the world's most respected quantum physicists, and Stanford neurophysiologist Karl Pribram, one of the architects of our modern understanding of the brain -- believe that the universe itself may be a giant hologram, quite literally a kind of image or construct created, at least in part, by the human mind. This remarkable new way of looking at the universe explains not only many of the unsolved puzzles of physics, but also such mysterious occurrences as telepathy, out-of-body and near death experiences, "lucid" dreams, and even religious and mystical experiences such as feelings of cosmic unity and miraculous healings.

Eternity: God, Soul, New Physics


Trevelyan - 2013
    This is a book about how many of the 'big' philosophical and religious questions that have puzzled mankind for centuries can be answered by recent breakthroughs in science.

Adam Spencer's Big Book of Numbers: Everything you wanted to know about the numbers 1 to 100


Adam Spencer - 2014
    Whether you love numbers, want to love numbers, or just love to laugh and learn about the wonderful world in which we live, this book is for you.For 15 years Adam Spencer has been entertaining us. On triple j and ABC radio and television, he’s established himself as Australia’s funniest and most famous mathematician. And now, by popular demand, we have his Big Book of Numbers, a fascinating journey from 1 to 100.Praise for Adam Spencer’s Big Book of Numbers‘If you find this book boring, you should be in a clinic.’ John Cleese‘Funny yet with hidden depths, like its author. A brilliant introduction to the world of numbers.’ Brian Cox‘Even the page numbers will start to look fascinating once you’ve read this book!’ Amanda Keller‘This book will bring out the inner geek in anyone who knows how to count to 100.’ Brian Schmidt, Winner, 2011 Nobel Prize in Physics