This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    How do we begin to discover and live our destined life? How can we use the ancient, Eastern philosophy to experience more success in our lives?From Derek Lin, Taoist master and author of The Tao of Daily Life, comes this practical, systematic approach to the ancient and time-honored spiritual learning process. The Tao of Success navigates the five rings of life, which are common patterns of traditional Tao cultivation, conceptualized by the ancient sages: your spirit, your mind, your relationships, your world, and your destiny. Success is achieved by discovering and experiencing these five concentric rings, from the inside out, and not in the future but in the here and now.Using the same format that made The Tao of Daily Life a breakout Eastern wisdom bestseller, Lin draws on the power of Taoist stories to illustrate important keys, or lessons. He then offers commentary on understanding and applying that story in modern life-all aimed to help readers live out the destiny that lies within themselves.By integrating the life-altering lessons of this book into their busy lives, readers can begin to cultivate the Tao. In The Tao of Success , Lin returns with his enlightening approach to understanding, centered on story and illumination of ancient Taoist secrets for the modern beginner and the familiar student alike.

    Conscious Robots challenges us to face up to the reality of being human: just because we're conscious doesn't mean we're not robots. So what would we do with free will if we really had it? And how does “being a robot” explain why life, as Buddha suggested, is “inherently unsatisfactory”, despite our luxurious homes, successful careers and loving families? Conscious Robots shows why we’re so convinced that we’re in charge, when we’re really just carrying out our evolved pre-programmed instructions. And reveals the inevitable future, how one day humans will take control of their conscious minds, get happy and stay happy. But it will come too late for you, Dear Reader… so no point buying the book. Unless you’re extremely rich, of course. Then you can pay for the neurochemical research yourself. “Easy to understand and persuasive” “Reminded me of Douglas Adams and Terry Pratchett”

    His reporting about Enron’s bankruptcy and the controversy surrounding it was being used by NPR, he was hot on the trail of a possible connection to an Army Secretary, and he was one of the few reporters granted an interview with Enron President Jeff Skilling. And then it all came crashing down.When Salon was forced to take down Leopold’s article about Army Secretary Thomas E. White’s role in the Enron bankruptcy, his world began to unravel. Ostracized from the mainstream media, slipping into a deep depression, with no prospects on the horizon, Jason Leopold was forced to start from scratch.News Junkie is Jason’s story, an addict to the core, he traded an early life of drugs and crime for the equally addictive world of breaking news. From the top of the reporting world to its dregs and back again, Leopold takes us on a journey through some of the biggest events of the recent past, all the while letting us into his inner struggles.With an unforgettable array of characters, from weepy editors and love-starved politicos to steroid-pumped mobsters who intimidate the author into selling drugs and stolen goods, News Junkie shows how a man once fueled by raging fear and self-hatred transforms his life, regenerated by love, sobriety and a new, harmonious career with the media.

     Learn the essential concepts using concrete analogies and vivid diagrams, not mechanical definitions. Calculus isn't a set of rules, it's a specific, practical viewpoint we can apply to everyday thinking. Frustrated With Abstract, Mechanical Lessons? I was too. Despite years of classes, I didn't have a strong understanding of calculus concepts. Sure, I could follow mechanical steps, but I had no lasting intuition. The classes I've seen are too long, taught in the wrong order, and without solid visualizations. Here's how this course is different: 1) It gets to the point. A typical class plods along, saving concepts like Integrals until Week 8. I want to see what calculus can offer by Minute 8. Each compact, tightly-written lesson can be read in 15 minutes. 2) Concepts are taught in their natural order. Most classes begin with the theory of limits, a technical concept discovered 150 years after calculus was invented. That's like putting a new driver into a Formula-1 racecar on day 1. We can begin with the easy-to-grasp concepts discovered 2000 years ago. 3) It has vivid analogies and visualizations. Calculus is usually defined as the "study of change"... which sounds like history or geology. Instead of an abstract definition, we'll see calculus a step-by-step viewpoint to explore patterns. 4) It's written by a human, for humans. I'm not a haughty professor or strict schoolmarm. I'm a friend who saw a fun way to internalize some difficult ideas. This course is a chat over coffee, not a keep-your-butt-in-your-seat lecture. The goal is to help you grasp the Aha! moments behind calculus in hours, not a painful semester (or a decade, in my case). Join Thousands Of Happy Readers Here's a few samples of anonymous feedback as people went through the course. The material covers a variety of levels, whether you're looking for intuitive appreciation or the specifics of the rules. "I've done all of this stuff before, and I do understand calculus intuitively, but this was the most fun I've had going through this kind of thing. The informal writing and multitude of great analogies really helps this become an enjoyable read and the rest is simple after that - you make this seem easy, but at the same time, you aren't doing it for us…This is what math education is supposed to be like :)" "I have psychology and medicine background so I relate your ideas to my world. To me the most useful idea was what each circle production feels like. Rings are natural growth…Slices are automatable chunks and automation cheapens production… Boards in the shape on an Arch are psychologically most palatable for work (wind up, hard part, home stretch). Brilliant and kudos, from one INTP to another." "I like how you're introducing both derivatives and integrals at the same time - it's really helps with understanding the relationship between them. Also, I appreciate how you're coming from such a different angle than is traditionally taken - it's always interesting to see where you decide to go next." "That was breathtaking. Seriously, mail my air back please, I've grown used to it. Beautiful work, thank you. Lesson 15 was masterful. I am starting to feel calculus. "d/dx is good" (sorry, couldn't resist!)."

    The specialities of each individual number, from zero to nine, and the little mathematical tricks as shown by Shakuntala Devi, all combine to make the reader learn to befriend numbers and excel at maths.

    If you've never read a Repairman Jack story, this is a great place to start.

    The Greatest Secret of All clearly explains this law of manifestation but then takes it a quantum leap further, revealing what is truly important in life. We have what we need within us to do what we love, to be the people we dream of being, and to become completely fulfilled along the way — to become, as Abraham Maslow put it, self-actualized. We also have the capability, here and now, to create a world that works for everyone. In these pages, you will find the secret to a life of happiness, inner peace, ease, and fulfillment, and the secret that lets each of us contribute to making the world a better place for all.

    The attacks have come not only from traditional conservatives but increasingly from the postmodern left. In this essay, Stephen Hicks presents and dissects the philosophical arguments made by the postmoderns for speech restrictions and responds with a vigorous and updated liberal case for free speech.

    His extraordinary journey takes him to places no tourist would ever visit, to amazing communities outsiders have never heard of, to the quintessential America. He encounters snake-handlers, moonshiners, creationists, outlaws, polygamists, white supremacists and communities preparing for Armageddon. He goes bear hunting in West Virginia, fur trapping in Louisiana, diamond digging in Arkansas and gold prospecting in Nevada. From the eccentric but friendly to the frankly unhinged, the inhabitants of backwater America and their preoccupations, prejudices and traditions are brought vividly to life.'Fletcher is not only capable of excellent penmanship, but is also able to view the country and its people as both outsider and insider, and does so without being judgmental. I found his warm and subtly humorous style very appealing, and I highly recommend this book' INDEPENDENT ON SUNDAY

    But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    Authors and money-management experts Lyle and Tracy Shamo say, "Like it or not, meeting basic needs has nothing to do with poverty and everything to do with how well we manage our money." In this practical guidebook, the authors will help you take control of your money, teaching you how to pay off your debt-including your mortgage and car loans- and stay out of debt. Advanced computer software (included on a CD-ROM that comes with the book) will help you assess your financial status, learn more about where your money is going and discover how to channel it to the right places.

    Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.