Book picks similar to
An Invitation to Modern Number Theory by Steven J. Miller
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The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics
Clifford A. Pickover - 2009
Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
The Impact Zone
Bobby Clampett - 2007
Ryder Cup team captainImpact has long been called golf's "moment of truth," and great golfers have spent countless hours working on their swings trying to upgrade their impact dynamics as the golf club approaches, contacts, then swings through the ball. For the first time, with The Impact Zone, golfers will have a book that focuses their attention on the very same region of the swing on which professional golfers have always concentrated. The Impact Zone is a unique instructional guide in that everything in it either focuses on or applies to improving a golfer's understanding and execution of impact. Here, acclaimed professional golfer Bobby Clampett concludes that the overwhelming bias and convention of today's contemporary teaching environment is to value swing styles over swing dynamics, and in so doing, the overwhelming majority of golf teachers miss the boat in terms of teaching the game effectively. Ultimately this emphasis on swing style comes at the expense of helping golfers to develop sound swing dynamics, which are the real keys to consistent ball striking and better golf. With the help of CBS's Swing Vision high-speed camera—using images from many of the game's greatest contemporary players (including Tiger Woods, Phil Mickelson, John Daly, Vijay Singh, Sergio Garcia, and more)—The Impact Zone takes an unprecedented look at the most important six inches in golf, those that immediately precede, contain, and follow impact. To further demonstrate these principles, Clampett presents photos and drills that convey the five essential dynamics golfers need to produce and reproduce solid impact Throughout these instructional pages, Bobby Clampett—teamed with veteran golf writer Andy Brumer—relays his own personal story of straying from swing dynamics and how he found his way back. He recalls memorable stories from the Tour, blending innovative instruction with his colorful, engaging anecdotes. Clampett and Brumer create an essential instructional guide with clear, concise advice—on creating great swing dynamics through the impact zone—the universally acknowledged key to more consistent and better golf.
Calculus, Volume 2: Multi-Variable Calculus and Linear Algebra with Applications
Tom M. Apostol - 1962
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.
Innumeracy: Mathematical Illiteracy and Its Consequences
John Allen Paulos - 1988
Dozens of examples in innumeracy show us how it affects not only personal economics and travel plans, but explains mis-chosen mates, inappropriate drug-testing, and the allure of pseudo-science.
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.
Count Down: Six Kids Vie for Glory at the World's Toughest Math Competition
Steve Olson - 2004
Steve Olson followed the six 2001 contestants from the intense tryouts to the Olympiad’s nail-biting final rounds to discover not only what drives these extraordinary kids but what makes them both unique and typical. In the process he provides fascinating insights into the science of intelligence and learning and, finally, the nature of genius. Brilliant, but defying all the math-nerd stereotypes, these teens want to excel in whatever piques their curiosity, and they are curious about almost everything — music, games, politics, sports, literature. One team member is ardent about both water polo and creative writing. Another plays four musical instruments. For fun and entertainment during breaks, the Olympians invent games of mind-boggling difficulty. Though driven by the glory of winning this ultimate math contest, they are in many ways not so different from other teenagers, finding pure joy in indulging their personal passions. Beyond the the Olympiad, Olson sheds light on many questions, from why Americans feel so queasy about math, to why so few girls compete in the subject, to whether or not talent is innate. Inside the cavernous gym where the competition takes place, Count Down uncovers a fascinating subculture and its engaging, driven inhabitants.
Group Theory in the Bedroom, and Other Mathematical Diversions
Brian Hayes - 2008
(The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The Best American Magazine Writing, The Best American Science and Nature Writing, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces--including "Clock of Ages"--embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.
Contemporary Abstract Algebra
Joseph A. Gallian - 2004
His Contemporary Abstract Algebra, 6/e, includes challenging topics in abstract algebra as well as numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings that give the subject a current feel and makes the content interesting and relevant for students.
Gödel, Escher, Bach: An Eternal Golden Braid
Douglas R. Hofstadter - 1979
However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.
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!
104 Number Theory Problems: From the Training of the USA IMO Team
Titu Andreescu - 2006
Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
Mathematicians Are People, Too: Stories from the Lives of Great Mathematicians, Volume 1
Luetta Reimer - 1990
Volume Two dramatizes the lives of Omar Khayyam, Albert Einstein, Ada Lovelace, and others.
Real and Complex Analysis
Walter Rudin - 1970
The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject.This text is part of the Walter Rudin Student Series in Advanced Mathematics.
Harry Potter - The Ultimate Quiz Book
Chris Peacock - 2011
From questions even a muggle should know all the way through to trivia that would test Dumbledore himself, this is a fantastic way to enjoy the wizarding world even more. This version has been specially formatted for Kindle by Andrews UK.