Covering various the materials needed by students in engineering, science, and mathematics, this calculus text makes effective use of computing technology, graphics, and applications. It presents at least two technology projects in each chapter.

    Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    Collected from the series of blog posts starting at: https://bartoszmilewski.com/2014/10/2...Hardcover available at: http://www.blurb.com/b/9008339-catego...

    He took on arguably the toughest extreme sport on the planet - to swim non-stop across seven of the world’s deadliest oceans wearing only swim trunks, cap and goggles. It is not a test for the faint-hearted: swimmers face freezing temperatures, huge swells and treacherous currents, potentially deadly marine life (from sharks to Portuguese men o’ war), vomiting and burning off a week’s calories in a single swim.In 2007, Adam, then a toaster salesman, saw a fi lm about a man attempting to swim the English Channel and change his life in doing so. Inspired by this, he decided to try to emulate the feat. After a year of rigorous training without a coach - his first open-water swim was in 9 degrees and he nearly died from hypothermia - Adam achieved his goal in 11 hours 35 minutes, despite a ruptured bicep tendon leading to medical advice to give up long-distance swimming. In 2011, after two operations and a change to his swimming style to take pressure off his injured shoulder, he became the first Briton to achieve a two-way crossing from Spain to Morocco and back. In the process, he broke the British record one way.Shortly afterwards, the Ocean’s Seven challenge was born, a gruelling equivalent to the Seven Summits mountaineering challenge. At fi rst it seemed that injury would prevent Adam from participating but, ignoring medical advice, he developed an innovative technique - the Ocean Walker stroke - that would enable him to continue with the ultimate aim of completing this seemingly impossible feat. Whether man would triumph over ocean, or fail in the attempt, forms the core of this extraordinary autobiography.Always intriguing, sometimes terrifying, and occasionally very funny, Adam’s story is about sport in its truest form: rather than competitions between teams and individuals, it is about man against nature - and against his own failings.

    It offers readers multiple ways to significantly deepen, enlighten, and enrich their running experiences. * Introduces a unique and bold new treatment of the topic of running * Offers multiple ways to think about and appreciate the running experience * Explains why running is so satisfying and why it has the power to transform lives * Gives practical advice for how the reader can improve his or her own running * Full of vivid firsthand accounts illustrating the high adventure of running * Running can evoke spiritualism and mindfulness; it can teach fundamental lessons about goals, self-awareness, and self-improvement; it can be a transformative existential experience. The Tao of Running goes beyond the standard training and racing advice found in other running books, and guides runners to a wider understanding of how running fits into their own aspirations, goals, and life philosophy. It also offers readers lots of practical advice on getting the most out of running. Readers will gain a greater appreciation for the rewards and possibilities inherent in running and will significantly deepen, enlighten, and enrich their running experience. Extreme sports

    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"

    Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.

    Just read this till the end You don’t have to buy this book. Just read this till end & you will learn something that will change the way you do math forever. Warning: I am revealing this secret only to the first set of readers who will buy this book & plan to put this secret back inside the book once I have enough sales. So read this until the very end while you still can.School taught you the wrong way to do mathThe way you were taught to do math, uses a lot of working memory. Working memory is the short term memory used to complete a mental task. You struggle because trying to do mental math the way you were taught in school, overloads your working memory. Let me show you what I mean with an example:Try to multiply the 73201 x 3. To do this you multiply the following:1 x 3 =0 x 3 =2 x 3 =3 x 3 =7 x 3 =This wasn’t hard, & it might have taken you just seconds to multiply the individual numbers. However, to get the final answer, you need to remember every single digit you calculated to put them back together. It takes effort to get the answer because you spend time trying to recall the numbers you already calculated. Math would be easier to do in your head if you didn’t have to remember so many numbers. Imagine when you tried to multiply 73201 x 3, if you could have come up with the answer, in the time it took you to multiply the individual numbers. Wouldn’t you have solved the problem faster than the time it would have taken you to punch in the numbers inside a calculator? Do the opposite of what you were taught in schoolThe secret of doing mental math is to calculate from left to right instead of from right to left. This is the opposite of what you were taught in school. This works so well because it frees your working memory almost completely. It is called the LR Method where LR stands for Left to Right.Lets try to do the earlier example where we multiplied 73201 x 3. This time multiply from left to right, so we get:7 x 3 = 213 x 3 = 93 x 2 = 60 x 3 = 03 x 1 = 3Notice that you started to call out the answer before you even finished the whole multiplication problem. You don’t have to remember a thing to recall & use later. So you end up doing math a lot faster. The Smart ChoiceYou could use what you learnt & apply it to solve math in the future. This might not be easy, because we just scratched the surface. I've already done the work for you. Why try to reinvent the wheel, when there is already a proven & tested system you can immediately apply. This book was first available in video format & has helped 10,000+ students from 132 countries. It is available at ofpad.com/mathcourse to enroll. This book was written to reach students who consume the information in text format. You can use the simple techniques in this book to do math faster than a calculator effortlessly in your head, even if you have no aptitude for math to begin with.Imagine waking up tomorrow being able to do lightning fast math in your head. Your family & friends will look at you like you are some kind of a genius. Since calculations are done in your head, you will acquire better mental habits in the process. So you will not just look like a genius. You will actually be one. Limited Time BonusWeekly training delivered through email for $97 is available for free as a bonus at the end of this book for the first set of readers. Once we have enough readers, this bonus will be charged $97. Why Price Is So LowThis book is priced at a ridiculous discount only to get our first set of readers. When we have enough readers the price will go up.

    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

    

    K. C. Cole's "Fun with Physics" is a profile of astrophysicist Janet Conrad that blends her personal life with professional activity. In "Desperate Measures," the doctor and writer Atul Gawande profiles the surgeon Francis Daniels Moore, whose experiments in the 1940s and '50s pushed medicine harder and farther than almost anyone had contemplated. Also included is a poem by the legendary John Updike, "Mars as Bright as Venus." The collection ends with Diane Ackerman's "ebullient" essay "We Are All a Part of Nature."Together these twenty-three articles on a wide range of today's most current topics in science -- from biology, physics, biotechnology, and astronomy, to anthropology, genetics, evolutionary theory, and cognition‚ represent the full spectrum of scientific writing from America's most prominent science authors, proving once again that "good science writing is evidently plentiful" (Scientific American).

    Fully revised to meet the needs of the wide range of students beginning engineering courses, this edition has an extended Foundation section including new chapters on graphs, trigonometry, binomial series and functions and a CD-ROM

    Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a new and simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems.

    The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.