Everyday Calculus: Discovering the Hidden Math All Around Us
Oscar E. Fernandez - 2014
For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.Fernandez uses our everyday experiences to skillfully reveal the hidden calculus behind a typical day's events. He guides us through how math naturally emerges from simple observations-how hot coffee cools down, for example-and in discussions of over fifty familiar events and activities. Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful-determining which seat at the theater leads to the best viewing experience, for instance-and fascinating-exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes.Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus invites you to spend a day discovering the calculus all around you. The book will convince even die-hard skeptics to view this area of math in a whole new way.
When Einstein Walked with Gödel: Excursions to the Edge of Thought
Jim Holt - 2018
With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.
Essential Poker Math, Expanded Edition: Fundamental No Limit Hold'em Mathematics You Need To Know
Alton Hardin - 2016
This book will teach you the basic poker mathematics you need to know in order to improve and outplay your opponents, and focuses on foundational poker mathematics - the ones you’ll use day in and day out at the poker table; and probably the ones your opponents neglect.
Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences
Ernest F. Haeussler Jr. - 1987
Emphasis on developing algebraic skills is extended to the exercises--including both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize learning for readers. The table of contents covers a wide range of topics efficiently, enabling readers to gain a diverse understanding.
Love and Math: The Heart of Hidden Reality
Edward Frenkel - 2013
In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Barbara Oakley - 2014
Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. In A Mind for Numbers, Dr. Oakley lets us in on the secrets to effectively learning math and science—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn math. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. A Mind for Numbers shows us that we all have what it takes to excel in math, and learning it is not as painful as some might think!
The Signal and the Noise: Why So Many Predictions Fail—But Some Don't
Nate Silver - 2012
He solidified his standing as the nation's foremost political forecaster with his near perfect prediction of the 2012 election. Silver is the founder and editor in chief of FiveThirtyEight.com. Drawing on his own groundbreaking work, Silver examines the world of prediction, investigating how we can distinguish a true signal from a universe of noisy data. Most predictions fail, often at great cost to society, because most of us have a poor understanding of probability and uncertainty. Both experts and laypeople mistake more confident predictions for more accurate ones. But overconfidence is often the reason for failure. If our appreciation of uncertainty improves, our predictions can get better too. This is the "prediction paradox": The more humility we have about our ability to make predictions, the more successful we can be in planning for the future.In keeping with his own aim to seek truth from data, Silver visits the most successful forecasters in a range of areas, from hurricanes to baseball, from the poker table to the stock market, from Capitol Hill to the NBA. He explains and evaluates how these forecasters think and what bonds they share. What lies behind their success? Are they good-or just lucky? What patterns have they unraveled? And are their forecasts really right? He explores unanticipated commonalities and exposes unexpected juxtapositions. And sometimes, it is not so much how good a prediction is in an absolute sense that matters but how good it is relative to the competition. In other cases, prediction is still a very rudimentary-and dangerous-science.Silver observes that the most accurate forecasters tend to have a superior command of probability, and they tend to be both humble and hardworking. They distinguish the predictable from the unpredictable, and they notice a thousand little details that lead them closer to the truth. Because of their appreciation of probability, they can distinguish the signal from the noise.
Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra
Tom M. Apostol - 1961
Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.
Beginning Programming All-In-One Desk Reference for Dummies
Wallace Wang - 2007
If programming intrigues you (for whatever reason), Beginning Programming All-In-One Desk Reference For Dummies is like having a starter programming library all in one handy, if hefty, book.In this practical guide, you'll find out about algorithms, best practices, compiling, debugging your programs, and much more. The concepts are illustrated in several different programming languages, so you'll get a feel for the variety of languages and the needs they fill.Inside you'll discover seven minibooks:Getting Started: From learning methods for writing programs to becoming familiar with types of programming languages, you'll lay the foundation for your programming adventure with this minibook. Programming Basics: Here you'll dive into how programs work, variables, data types, branching, looping, subprograms, objects, and more. Data Structures: From structures, arrays, sets, linked lists, and collections, to stacks, queues, graphs, and trees, you'll dig deeply into the data. Algorithms: This minibook shows you how to sort and search algorithms, how to use string searching, and gets into data compression and encryption. Web Programming: Learn everything you need to know about coding for the web: HyperText. Markup Language (better known simply as HTML), CSS, JavaScript, PHP, and Ruby. Programming Language Syntax: Introduces you to the syntax of various languages - C, C++, Java, C#, Perl, Python, Pascal, Delphi, Visual Basic, REALbasic - so you know when to use which one. Applications: This is the fun part where you put your newly developed programming skills to work in practical ways. Additionally, Beginning Programming All-In-One Desk Reference For Dummies shows you how to decide what you want your program to do, turn your instructions into "machine language" that the computer understands, use programming best practices, explore the "how" and "why" of data structuring, and more. And you'll get a look into various applications like database management, bioinformatics, computer security, and artificial intelligence. After you get this book and start coding, you'll soon realize that -- wow! You're a programmer!
Lessons from Surah al-Kahf (Pearls from the Qur'an)
Abu Ammaar Yasir Qadhi - 2020
Each one, when its meaning is unpacked and understood, offers wisdom and guidance. Surah Kahf, chapter 18 from the Qur’an, is particularly thought provoking, and Muslims are advised to read it at least once a week.But why? And what can we gain from it?In this book Yasir Qadhi leads us through Surah Kahf, unfolding the lines, stories and symbols that have inspired people for over a thousand years: the people of the cave, Prophet Musa’s momentous encounter with Khidr, the two men and their gardens, and Gog and Magog.And surely We have explained matters in people in the Qur’an in diverse ways, using all manners of parables. (Qur’an 18:54)Through Yasir Qadhi’s unmistakeable voice, modern Muslims may glimpse some of the Qur’an’s profound meaning.Say: “If the sea were to become ink to record the Words of my Lord, indeed the sea would all be used up before the Words of my Lord are exhausted…” (Qur’an 18:109)
Numerical Linear Algebra
Lloyd N. Trefethen - 1997
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.
Big Data Baseball: Math, Miracles, and the End of a 20-Year Losing Streak
Travis Sawchik - 2015
Pittsburghers joked their town was the city of champions…and the Pirates. Big Data Baseball is the story of how the 2013 Pirates, mired in the longest losing streak in North American pro sports history, adopted drastic big-data strategies to end the drought, make the playoffs, and turn around the franchise's fortunes.Award-winning journalist Travis Sawchik takes you behind the scenes to expertly weave together the stories of the key figures who changed the way the small-market Pirates played the game. For manager Clint Hurdle and the front office staff to save their jobs, they could not rely on a free agent spending spree, instead they had to improve the sum of their parts and find hidden value. They had to change. From Hurdle shedding his old-school ways to work closely with Neal Huntington, the forward-thinking data-driven GM and his team of talented analysts; to pitchers like A. J. Burnett and Gerrit Cole changing what and where they threw; to Russell Martin, the undervalued catcher whose expert use of the nearly-invisible skill of pitch framing helped the team's pitchers turn more balls into strikes; to Clint Barmes, a solid shortstop and one of the early adopters of the unconventional on-field shift which forced the entire infield to realign into positions they never stood in before. Under Hurdle's leadership, a culture of collaboration and creativity flourished as he successfully blended whiz kid analysts with graybeard coaches—a kind of symbiotic teamwork which was unique to the sport.Big Data Baseball is Moneyball on steroids. It is an entertaining and enlightening underdog story that uses the 2013 Pirates season as the perfect lens to examine the sport's burgeoning big-data movement. With the help of data-tracking systems like PitchF/X and TrackMan, the Pirates collected millions of data points on every pitch and ball in play to create a tome of color-coded reports that revealed groundbreaking insights for how to win more games without spending a dime. In the process, they discovered that most batters struggled to hit two-seam fastballs, that an aggressive defensive shift on the field could turn more batted balls into outs, and that a catcher's most valuable skill was hidden. All these data points which aren't immediately visible to players and spectators, are the bit of magic that led the Pirates to spin straw in to gold, finish the 2013 season in second place, end a twenty-year losing streak.
The 85 ways to tie a tie: the science and aesthetics of tie knots
Thomas Fink - 1999
Tie Knots unravels the history of ties, the story of the discovery of the new knots and some very elegant mathematics in action. If Einstein had been left alone in Tie Rack for long enough perhaps he would have worked it out : why do people tie their ties in only 4 ways? And how many other possibilities are there? Two Cambridge University physicists, research fellows working from the Cavendish laboratories, have discovered via a recherche branch of mathematics - knot theory - that although only four knots are traditionally used in tying neck ties another 81 exist. This is the story of their discovery, of the history of neck ties and of the equations that express whether a tie is handsome or not. Of the 81 new knots, 6 are practical and elegant. We now have somewhere else to go after the Pratt, the Four-in-Hand, the Full and Half Windsor. Sartorial stylishness is wrapped effortlessly around popular mathematics. A concept developed to describe the movement of gas molecules - the notion of persistent walks around a triangular lattice - also describes the options for tie tying. Pure maths becomes pure fashion in a delightfully designed little package from Fourth Estate.
Before the Lights Go Out: A Season Inside a Game on the Brink
Sean Fitz-Gerald - 2019
It's become more expensive, more exclusive, and effectively off-limits to huge swaths of the potential sports-loving population. Youth registration numbers are stagnant; efforts to appeal to new Canadians are often grim at best; the game, increasingly, does not resemble the country of which it's for so long been an integral part. These signs worried Sean Fitz-Gerald. As a lifelong hockey fan and father of a young mixed-race son falling headlong in love with the game, he wanted to get to the roots of these issues. His entry point: a season with the Peterborough Petes, a storied OHL team far from its former glory in a once-emblematic Canadian city that is finding itself on the wrong side of the country's changing demographics. Fitz-Gerald profiles the players, coaches and front office staff, a mix of world-class talents with NHL aspirations and Peterborough natives happy with more modest dreams. Through their experiences, their widely varied motivations and expectations, we get a rich, colourful understanding of who ends up playing hockey in Canada and why. Fitz-Gerald interweaves the action of the season with portraits of public figures who've shaped and been shaped by the game: authors who captured its spirit, politicians who exploited it, and broadcasters who try to embody and sell it. He finds his way into community meetings full of angry season ticket holders, as well as into sterile boardrooms full of the sport's institutional brain trust, unable to break away from the inertia of tradition and hopelessly at war with itself. Before the Lights Go Out is a moving, funny, yet unsettling picture of a sport at a crossroads. Fitz-Gerald's warm but rigorous journalistic approach reads, in the end, like a letter to a troubled friend: it's not too late to save hockey in this country, but who has the will to do it?
Quantum Computation and Quantum Information
Michael A. Nielsen - 2000
A wealth of accompanying figures and exercises illustrate and develop the material in more depth. They describe what a quantum computer is, how it can be used to solve problems faster than familiar "classical" computers, and the real-world implementation of quantum computers. Their book concludes with an explanation of how quantum states can be used to perform remarkable feats of communication, and of how it is possible to protect quantum states against the effects of noise.