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History of the Theory of Numbers, Volume I: Divisibility and Primality by Leonard Eugene Dickson
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Adventures of a Mathematician
Stanislaw M. Ulam - 1976
As a member of the Los Alamos National Laboratory from 1944 on, Ulam helped to precipitate some of the most dramatic changes of the postwar world. He was among the first to use and advocate computers for scientific research, originated ideas for the nuclear propulsion of space vehicles, and made fundamental contributions to many of today's most challenging mathematical projects. With his wide-ranging interests, Ulam never emphasized the importance of his contributions to the research that resulted in the hydrogen bomb. Now Daniel Hirsch and William Mathews reveal the true story of Ulam's pivotal role in the making of the "Super," in their historical introduction to this behind-the-scenes look at the minds and ideas that ushered in the nuclear age. An epilogue by Françoise Ulam and Jan Mycielski sheds new light on Ulam's character and mathematical originality.
Philosophy: A Text with Readings
Manuel G. Velasquez - 1988
Author Manuel Velasquez combines clear prose and primary source readings to take you on a meaningful exploration of a range of philosophical topics, such as human nature, feminist theory, diversity, and aesthetics. Plus, the text's carefully crafted built-in learning aids will help you succeed in your course.
Practical Algebra: A Self-Teaching Guide
Peter H. Selby - 1974
Practical Algebra is an easy andfun-to-use workout program that quickly puts you in command of allthe basic concepts and tools of algebra. With the aid of practical, real-life examples and applications, you'll learn: * The basic approach and application of algebra to problemsolving * The number system (in a much broader way than you have known itfrom arithmetic) * Monomials and polynomials; factoring algebraic expressions; howto handle algebraic fractions; exponents, roots, and radicals;linear and fractional equations * Functions and graphs; quadratic equations; inequalities; ratio, proportion, and variation; how to solve word problems, andmore Authors Peter Selby and Steve Slavin emphasize practical algebrathroughout by providing you with techniques for solving problems ina wide range of disciplines--from engineering, biology, chemistry, and the physical sciences, to psychology and even sociology andbusiness administration. Step by step, Practical Algebra shows youhow to solve algebraic problems in each of these areas, then allowsyou to tackle similar problems on your own, at your own pace.Self-tests are provided at the end of each chapter so you canmeasure your mastery.
Algebra
Israel M. Gelfand - 1992
This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.
Operations Research: Applications and Algorithms (with CD-ROM and InfoTrac)
Wayne L. Winston - 1987
It moves beyond a mere study of algorithms without sacrificing the rigor that faculty desire. As in every edition, Winston reinforces the book's successful features and coverage with the most recent developments in the field. The Student Suite CD-ROM, which now accompanies every new copy of the text, contains the latest versions of commercial software for optimization, simulation, and decision analysis.
A Book of Abstract Algebra
Charles C. Pinter - 1982
Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.
The Complete Do-it-Yourself Manual Newly Updated
Family Handyman Magazine - 2005
Over 10 million copies of READER’S DIGEST COMPLETE DO-IT-YOURSELF MANUAL have been sold since it's original publication in 1973. In 2005, the manual got bigger and better than ever, when The Family Handyman and Reader’s Digest joined forces and completely revised, updated, rewrote, and redesigned this home improvement classic. Now in 2014, The Family Handyman has once again updated and revised this do-it-yourself classic to make it relevant to today’s homeowners and DIYers.. Written in a style of text that addresses readers in a very accessible, conversational tone for easy, user-friendly assistance with every do-it-yourself task. All instructions and materials have been updated to address current codes (electrical, plumbing and building), and revised to indicate the very latest in materials, tools, and technology. Suitable for beginners and experts alike, this newly revised edition includes: • Over 3,000 photos and illustrations to make complex projects and repairs easy to understand • Twice as many storage projects that help home owners cut clutter • New building materials that yield great-looking, long-lasting results—and low maintenance! • New technology that lets homeowners save energy, add convenience or improve security. • New building codes that make homes safer, more energy-efficient and trouble-free. The book’s tried-and-true instructions provide do-it-yourself solutions to a ton of problems that could cost a fortune if you had to hire a professional. This manual is a “must-have” reference guide for every home-owning man or woman.
Applied Linear Regression Models- 4th Edition with Student CD (McGraw Hill/Irwin Series: Operations and Decision Sciences)
Michael H. Kutner - 2003
Cases, datasets, and examples allow for a more real-world perspective and explore relevant uses of regression techniques in business today.
Introduction to Real Analysis
Robert G. Bartle - 1982
Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.
On Numbers and Games
John H. Conway - 1976
Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games.
Vector Mechanics for Engineers: Statics
Ferdinand P. Beer - 1977
Following on the success of the first six editions of the series, this work introduces theoretical and pedagogical innovations in statics, dynamics, and mechanics of materials education.
Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math
Alex Bellos - 2010
But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.
Mathematical Methods in the Physical Sciences
Mary L. Boas - 1967
Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.
Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World
Amir Alexander - 2014
With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.
Western Civilization: Volume I: To 1715
Jackson J. Spielvogel - 1996
Jack Spielvogel's engaging, chronological narrative weaves the political, economic, social, religious, intellectual, cultural, and military aspects of history into a gripping story that is as memorable as it is instructive. Each chapter offers a substantial introduction and conclusion, providing students a context for these disparate themes. The clear narrative of a single gifted author makes it easy for students to follow the story of Western civilization. Spielvogel gives the book depth by including over 150 maps and excerpts of over 200 primary sources--including official documents, poems, and songs--that enliven the past while introducing students to source material that forms the basis of historical scholarship. Available in many split options: WESTERN CIVILIZATION, Comprehensive, 6th Edition (Chapters 1-29), ISBN: 0534646026; WESTERN CIVILIZATION, Volume I, To 1715, 6th Edition (Chapters 1-16), ISBN:0534646034; WESTERN CIVILIZATION, Volume II, Since 1500, 6th Edition (Chapters 13-29), ISBN:0534646042; WESTERN CIVILIZATION, Volume A: To 1500, 6th Edition (Chapters 1-12), ISBN: 0534646050; WESTERN CIVILIZATION, Volume B: 1300-1815, 6th Edition (Chapters 11-19), ISBN:0534646069; WESTERN CIVILIZATION, Volume C: Since 1789, 6th Edition (Chapters 19-29), ISBN: 0534646077; WESTERN CIVILIZATION, Since 1300, 6th Edition (Chapters 11-29), ISBN:0534646085.