The Art of R Programming: A Tour of Statistical Software Design
Norman Matloff - 2011
No statistical knowledge is required, and your programming skills can range from hobbyist to pro.Along the way, you'll learn about functional and object-oriented programming, running mathematical simulations, and rearranging complex data into simpler, more useful formats. You'll also learn to: Create artful graphs to visualize complex data sets and functions Write more efficient code using parallel R and vectorization Interface R with C/C++ and Python for increased speed or functionality Find new R packages for text analysis, image manipulation, and more Squash annoying bugs with advanced debugging techniques Whether you're designing aircraft, forecasting the weather, or you just need to tame your data, The Art of R Programming is your guide to harnessing the power of statistical computing.
Finding Your Way Without Map or Compass
Harold Gatty - 1958
By observing birds and other animals, weather patterns, vegetation, shifting sands, patterns of snow fields, and the positions of the sun, moon, and stars, would-be explorers can learn to estimate distances and find their way without having to rely on a map or a compass.The wealth of valuable data and advice in this volume — much of it unavailable elsewhere — makes it indispensable for hikers, bikers, scouts, sailors, and outdoorsmen — all those who might find themselves stranded or lost in an unfamiliar area. Through careful study of this book and its lessons, pathfinders can learn to interpret signs in the natural world to find their way in almost any kind of terrain.
Gravitation
Charles W. Misner - 1973
These sections together make an appropriate one-term advanced/graduate level course (mathematical prerequisites: vector analysis and simple partial-differential equations). The book is printed to make it easy for readers to identify these sections.• The remaining Track 2 material provides a wealth of advanced topics instructors can draw from to flesh out a two-term course, with Track 1 sections serving as prerequisites.
Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics
Gary Smith - 2014
In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing. Today, data is so plentiful that researchers spend precious little time distinguishing between good, meaningful indicators and total rubbish. Not only do others use data to fool us, we fool ourselves.With the breakout success of Nate Silver’s The Signal and the Noise, the once humdrum subject of statistics has never been hotter. Drawing on breakthrough research in behavioral economics by luminaries like Daniel Kahneman and Dan Ariely and taking to task some of the conclusions of Freakonomics author Steven D. Levitt, Standard Deviations demystifies the science behind statistics and makes it easy to spot the fraud all around.
Chasing New Horizons: Inside the Epic First Mission to Pluto
Alan Stern - 2018
More than 3 billion miles from Earth, a small NASA spacecraft called New Horizons screamed past Pluto at more than 32,000 miles per hour, focusing its instruments on the long mysterious icy worlds of the Pluto system, and then, just as quickly, continued on its journey out into the beyond.Nothing like this has occurred in a generation--a raw exploration of new worlds unparalleled since NASA's Voyager missions to Uranus and Neptune--and nothing like it is planned to happen ever again. The photos that New Horizons sent back to Earth graced the front pages of newspapers on all 7 continents, and NASA's website for the mission received more than 2 billion hits in the days surrounding the flyby. At a time when so many think our most historic achievements are in the past, the most distant planetary exploration ever attempted not only succeeded but made history and captured the world's imagination.How did this happen? Chasing New Horizons is the story of the men and women behind the mission: of their decades-long commitment; of the political fights within and outside of NASA; of the sheer human ingenuity it took to design, build, and fly the mission; and of the plans for New Horizons' next encounter, 1 billion miles past Pluto. Told from the insider's perspective of Dr. Alan Stern--the man who led the mission--Chasing New Horizons is a riveting story of scientific discovery, and of how far humanity can go when people focused on a dream work together toward their incredible goal.
A Tour of the Calculus
David Berlinski - 1995
Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review
Linear Algebra
Georgi E. Shilov - 1971
Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces.The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. Problems are included, with a full section of hints and answers in the back.Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom.
Just Six Numbers: The Deep Forces That Shape the Universe
Martin J. Rees - 1999
There are deep connections between stars and atoms, between the cosmos and the microworld. Just six numbers, imprinted in the "big bang," determine the essential features of our entire physical world. Moreover, cosmic evolution is astonishingly sensitive to the values of these numbers. If any one of them were "untuned," there could be no stars and no life. This realization offers a radically new perspective on our universe, our place in it, and the nature of physical laws.
Paul Wilmott Introduces Quantitative Finance (The Wiley Finance Series)
Paul Wilmott - 2001
Adapted from the comprehensive, even epic, works Derivatives and Paul Wilmott on Quantitative Finance, Second Edition, it includes carefully selected chapters to give the student a thorough understanding of futures, options and numerical methods. Software is included to help visualize the most important ideas and to show how techniques are implemented in practice. There are comprehensive end-of-chapter exercises to test students on their understanding.
Amusements in Mathematics
Henry Ernest Dudeney - 1917
Intriguing, witty, paradoxical productions of one of the world's foremost creators of puzzles.This book was converted from its physical edition to the digital format by a community of volunteers. You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.
Think, Act, and Invest Like Warren Buffett: The Winning Strategy to Help You Achieve Your Financial and Life Goals
Larry E. Swedroe - 2012
If you planned to become a great golfer, you might look to Arnold Palmer or Jack Nicklaus.So, if your goals are to outperform other investors and achieve your life's financial goals, what should you do?Think, act, and invest like the best investor out there: Warren Buffett. While you can't invest exactly like he does, Think, Act, and Invest Like Warren Buffett provides a solid, sensible investing approach based on Buffett's advice regarding investment strategies.When it comes to investing, Director of Research for the BAM Alliance and CBS News blogger Larry Swedroe has pretty much seen it all--and he's come to the conclusion that simple is better, that adopting basic investing principles always increases an investor's chance of success, and that Buffett is an excellent model for such investing.In Think, Act, and Invest Like Warren Buffett, Swedroe provides the foundational knowledge you need to:Develop a financial plan to help you make rational decisions on a consistent basisDetermine the level of risk that's right for you, and allocate your assets accordinglyBuild a low-cost, tax-efficient, globally diversified portfolioManage your portfolio by rebalancing periodically to maintain proper risk levelsThe beauty of the Buffett approach is its profound simplicity: follow the basics, keep your cool, and have a sense of humor and humility.The market volatility of recent years has ushered in armies of economists, forecasters, and other so-called experts whose job it is to explain how everything works. Somehow, they have managed to muddy the waters even more.The truth is, investing is easier than you think--even in today's economy. Complex problems can have simple solutions, Swedroe writes. Think, Act, and Invest Like Warren Buffett helps you go back to the basics--so you can leap in front of the investing pack.Praise for Think, Act, and Invest Like Warren Buffett A valuable addition to the growing library of books for investors wanting to successfully launch their own portfolio. Sticking to the core principles of this book will go a long way in preparing investors for their eventual retirement years. -- SeekingAlpha.com"A book that offers excellent pointers on planning for retirement, creating a disciplined investment strategy, and constructing a portfolio." -- Barron'sIf you've been wondering why you've had such a hard time investing well, Think, Act, and Invest Like Warren Buffett will diagnose your ills and treat them in this delightful short book. -- William Bernstein, Author, A Splendid Exchange and The Investor's ManifestoFollow the investment strategy advocated by Larry Swedroe, and free yourself to spend your time on life's treasures--like your family and friends! -- William Reichenstein, Professor, Baylor UniversityLarry Swedroe is the undisputed expert in helping investors manage portfolios the smart way. His new book, Think, Act, and Invest Like Warren Buffett, combines all facets of wealth management in an inspiring and powerful manner. -- Bill Schultheis, Author, The New Coffeehouse Investor"This book, which covers the whys and hows of successful investing, was written for those investors who just can't (or won't) read a 300-page investing book. Swedroe's set of 30 rules is an education in itself. It's a small book with a big message." -- Mel Lindauer, Forbes.com columnist and co-author, The Bogleheads' Guide to Investing and The Bogleheads' Guide to Retirement Planning"You could not spend a more profitable hour than reading Larry Swedroe's wise and lucid hundred page investment guide." -- Burton G. Malkiel, Author of A Random Walk Down Wall Street"Larry Swedroe is the Mark Twain of the investment aphorism. This concise book builds to a conclusion that features thirty of his pithy truths. My favorites include: 'Never work with a commission-based advisor.' 'If it sounds too good to be true, it is.' 'The more complex the investment, the faster you should run away.'" -- Ed Tower, Professor of Economics at Duke University"Larry's book is about how to be successful in investing and in life. But, who would believe this involves understanding 'Big Rocks'? I now understand their importance and so should you! -- John A. Haslem, Professor Emeritus of Finance, University of Maryland, and author of Mutual Funds"Larry Swedroe's latest book shows you how to succeed at investing with simple yet powerful guidance that's backed by the financial sciences. Add it to your 'must-read' list." -- Steve Vernon, author of Money for Life: Turn Your IRA and 401(k) Into a Lifetime Retirement Paycheck"This book is a quick and thorough read of the passive approach to investing in as few pages as possible. As someone who teaches a college investments course that deals extensively with this topic, I would not have thought it possible to do what he has done in such a short concise book. Kudos to Larry for continuing in his quest to educate investors and save them as Larry says 'one investor at a time' from a financial services industry whose primary goal is largely to enrich themselves." -- Edward R. Wolfe, Professor of Finance, Western Kentucky University"Because common sense isn't so common, thank goodness Larry Swedroe provides his readers with this magnificent book. With well-founded actionable advice, his readers can insure that they enrich their lives not Wall Street's bank accounts." -- Harold Evensky, President, Evensky & Katz"Larry doesn't tell you how to do what Warren Buffett does as much as avoid what Warren Buffett avoids, which turns out to be exceptionally important and doable for any investor. He tells you to avoid a few things I would tell you to embrace, like some hedged strategies, but that is because Wall Street typically overcharges you for these, so even here Larry is on the side of the angels. Every investor can benefit immensely from this book." -- Cliff Asness, Founding and Managing Principal, AQR Capital ManagementMany investment books adopt an adversarial tone--urging us to achieve success by somehow outwitting the market. Larry Swedroe explains why following such a strategy often diminishes our financial as well as our spiritual wealth--and shows us how a holistic approach to money, markets, and human behavior provides the most rewarding path to follow. -- Weston Wellington, Vice President, Dimensio
The Art of Statistics: How to Learn from Data
David Spiegelhalter - 2019
Statistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the raw evidence -- and even more so if we hope to participate in the future, rather than being simple bystanders. In The Art of Statistics, world-renowned statistician David Spiegelhalter shows readers how to derive knowledge from raw data by focusing on the concepts and connections behind the math. Drawing on real world examples to introduce complex issues, he shows us how statistics can help us determine the luckiest passenger on the Titanic, whether a notorious serial killer could have been caught earlier, and if screening for ovarian cancer is beneficial. The Art of Statistics not only shows us how mathematicians have used statistical science to solve these problems -- it teaches us how we too can think like statisticians. We learn how to clarify our questions, assumptions, and expectations when approaching a problem, and -- perhaps even more importantly -- we learn how to responsibly interpret the answers we receive. Combining the incomparable insight of an expert with the playful enthusiasm of an aficionado, The Art of Statistics is the definitive guide to stats that every modern person needs.
Econometric Analysis of Cross Section and Panel Data
Jeffrey M. Wooldridge - 2001
The book makes clear that applied microeconometrics is about the estimation of marginal and treatment effects, and that parametric estimation is simply a means to this end. It also clarifies the distinction between causality and statistical association. The book focuses specifically on cross section and panel data methods. Population assumptions are stated separately from sampling assumptions, leading to simple statements as well as to important insights. The unified approach to linear and nonlinear models and to cross section and panel data enables straightforward coverage of more advanced methods. The numerous end-of-chapter problems are an important component of the book. Some problems contain important points not fully described in the text, and others cover new ideas that can be analyzed using tools presented in the current and previous chapters. Several problems require the use of the data sets located at the author's website.
The Fabulous Fibonacci Numbers
Alfred S. Posamentier - 2007
In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.
Mind Tools: The Five Levels of Mathematical Reality
Rudy Rucker - 1987
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.