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!)."

    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.

    

    Herodotus wrote the first history book. It stated that Europe was full of cyclops. Steve Jobs never wrote a single line of programming code in his life. Joseph Stalin wasn’t Russian. Michael Jackson used to be a Jehovah’s Witness. Gandhi spoke English with an Irish accent. Leonardo Da Vinci was the first person who could explain why the sky is blue. Beethoven could only drink coffee if it was made of exactly 60 beans. It was only discovered in 2012 that Vincent Van Gogh was color-blind. The last film that Walt Disney worked on was The Jungle Book. Saint Patrick’s real name was Maewyn Succat. Martin Luther King Jr. attempted suicide as a teenager. Isaac Newton believed Hercules was a real person. John F. Kennedy smoked weed in the White House. Charles Darwin ate every animal that he discovered. Christopher Columbus believed the Earth was pear-shaped. The only film that Nelson Mandela appeared in is Malcolm X. George Washington owned 30 dogs simultaneously. Napoleon was attacked by a herd of rabbits so badly, he had to hide in his carriage. The first person online to publically declare Osama Bin Laden’s death was Dwayne “The Rock” Johnson.

    

    For those who know the secret, the result is untold wealth. Each month, a small group of people - an elite club who have uncovered the mysteries of The AdSense Code- put their knowledge to use and receive checks for tens of thousands of dollars from Google. And untold numbers of additional site owners are regularly generating supplemental income via AdSense while they play, sleep and eat. The AdSense Code is concise and very focused on the objective of revealing the proven online strategies to creating passive income with Google AdSense. The AdSense Code reveals hands-on solutions to many of the concerns and challenges faced by content publishers in their quest to attract targeted traffic, improve content relevance and increase responsiveness to AdSense ads - using easy and legitimate techniques that have worked for those who know the secrets. Google AdSense expert, Joel Comm, provides you with the keys you need to ""crack"" The AdSense Code and unlock the secrets to making money online.

    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.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    You can’t buy it! The price is your own application of the seven existing laws.

    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.

    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1

    This easy-to-understand guide answers all the questions you need to know to secure your financial future, such as: What does it mean to my paycheck when the Fed lowers or raises interest rates?What's the difference between bonds, securities, and derivatives - and which should I invest in now?What does Keynesian economics have to do with my savings? For those people whose heads spin when reading the business pages of the newspaper, here's a roadmap through the economic jungle. In simple, plain language, Peter Sander explains how economies work, why they grow, how they contract, and what the government can and can't do to help them. Most important, he tells you how all this affects "you" - and what kind of changes you're going to see in your finances as a result.Economics has been called the dismal" science. But it doesn't need to be gloomy or impenetrable. This book is an essential guide for anyone who wants to understand where the economy is today, where it's going, and what it means for the rest of us."

    The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.