Book picks similar to
Discovering Modern Set Theory I by Winfried Just
mathematics
maths
set-theory
math_foundations
Calculus
Ron Larson - 1999
It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
The Last Witch: Volume Three
M.J. Lawrie - 2020
Hunters have declared all out war on those with magic in their blood and everyone has been caught in the crossfire.But Hunters, it would seem, are far from the world's biggest threat.A dark evil has been unleashed. One driven by wrath and an insatiable hunger for vengeance.And the fate of the world and all those in it rest in a single pair hands.The final spell has begun.The end draws near.And Lilly Hooper's fate has been sealed.Volume three brings the gripping, dark and intense Last Witch trilogy to its climax.Get ready. This is no fairy tale.
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.
Student Solutions Manual with Study Guide for Burden/Faires' Numerical Analysis, 9th
Richard L. Burden - 2010
The solved exercises cover all of the techniques discussed in the text, and include step-by-step instruction on working through the algorithms.
How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
James D. Stein - 2008
In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.
Altitude
Dean Crawford - 2017
It can't turn back. And the fuel's running out.Reaching the end of a four hour flight, the crew of Phoenix Flight 375 find themselves facing an impossible dilemma: terrible weather, a natural disaster and a silent killer force them to decide not how to live, but how they might have to die. Half of the passengers want to survive. The others want a quick and painless end. They have one hour of fuel remaining, and then their choices will be over.At thirty-seven thousand feet and five hundred miles per hour, you're not in control of anything. On this flight, neither are the pilots...
The Joy of x: A Guided Tour of Math, from One to Infinity
Steven H. Strogatz - 2012
do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.
King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry
Siobhan Roberts - 2006
Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.
The Rough Guide to Pregnancy and Birth
Kaz Cooke - 2010
This is a week by week guide to what's happening to you and the baby, from choosing where to give birth, coping with nausea and understanding the tests you will need, to breastfeeding for the first time and adapting to life with a newborn. Kaz Cooke offers no bossy-boots rules, just the sanest, wittiest advice you'll ever get, plus lots of cartoons. This fully updated third edition includes news sections on Getting Ready: advice on trying for a baby and Fertility troubles and assisted conception: what might be causing fertility troubles and what you can do about it, plus the process of IVF or other assisted conception if it's needed. You'll find expanded sections on genetic problems, the caesarean debate, how to care for premature babies, choosing the right nappies for you plus information especially for partners from boosting their fertility to what they should do during labour. The Rough Guide to Pregnancy and Birth has everything you will need to know about the scary parts, the funny parts and your private parts.
Everything and More: A Compact History of Infinity
David Foster Wallace - 2003
Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.
Schaum's Outline of Complex Variables
Murray R. Spiegel - 1968
Contains 640 problems including solutions; additional practice problems with answers; explanations of complex variable theory; coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions.
The Shape of a Life: One Mathematician's Search for the Universe's Hidden Geometry
Shing-Tung Yau - 2019
“An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin,
Boston Globe
“Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.
Lisa Kleypas Hathaway Series: Tempt Me at Twilight / Married by Morning / Love in the Afternoon
Lisa Kleypas - 2017
Fate leads to a meeting with Harry Rutledge, an enigmatic hotel owner and inventor with wealth, power, and a dangerous hidden life. When their flirtation compromises her own reputation, Poppy shocks everyone by accepting his proposal—only to find that her new husband offers his passion, but not his trust. Harry was willing to do anything to win Poppy—except open his heart. He has held the world at arm’s length…but the beguiling Poppy demands to be his wife in every way that matters. As desire grows between them, an enemy lurks in the shadows. If Harry wants to keep Poppy by his side, he must forge a true union of body and soul . . .Married By Morning (Book 4)For two years, Catherine Marks has been a paid companion to the Hathaway sisters—a pleasant position, with one caveat. Her charges’ older brother, Leo Hathaway, is thoroughly exasperating. Cat cannot believe that their constant arguing could mask a mutual attraction. But when one quarrel ends in a sudden kiss, Cat is shocked at her response—and even more so when Leo proposes a liaison. Leo must marry and produce an heir within a year to save his family home. Catherine’s respectable demeanor hides a secret that would utterly destroy her. But to Leo, Cat is intriguing and tempting. The danger Cat tried to outrun is about to separate them forever—unless two wary lovers can find a way to banish the shadows and give in to their desires . . .Love in the Afternoon (Book 5)Beatrix Hathaway has always been more comfortable outdoors than in the ballroom. The free-spirited Beatrix has never been swept away or seriously courted…and she has resigned herself to never finding love. Captain Christopher Phelan is a handsome, daring soldier who plans to marry Beatrix’s friend, the vivacious flirt Prudence Mercer, when he returns from fighting abroad. But, as he explains in his letters to Pru, life on the battlefield has darkened his soul—and it’s becoming clear that Christopher won’t come back as the same man. When Beatrix learns of Pru’s disappointment, she decides to help by concocting Pru’s letters to Christopher for her. The correspondence between Beatrix and Christopher develops into something fulfilling and deep—and when Christopher comes home, he’s determined to claim the woman he loves. What began as innocent deception has resulted in the agony of unfulfilled love—and a passion that can’t be denied . . .
Multiple View Geometry in Computer Vision
Richard Hartley - 2000
This book covers relevant geometric principles and how to represent objects algebraically so they can be computed and applied. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. Richard Hartley and Andrew Zisserman provide comprehensive background material and explain how to apply the methods and implement the algorithms. First Edition HB (2000): 0-521-62304-9
The Calculus 7
Louis Leithold - 1995
The author has sought to utlilize the technology now available for the teaching and learning of calculus. The hand-held graphics calculator is one such form of technology that has been integrated into the book. Topics in algebra, trigonometry, and analytical geometry appear in the Appendix.