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Author : Cole Coonce
Publisher : Kerosene Bomb Publishing
Page : 264 pages
File Size : 40,7 Mb
Release : 2002
Category : Automobiles, Racing
ISBN : 9780971997707
meditations on maximum velocity and the land speed record
Author : Mark Ryan
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 44,7 Mb
Release : 2016-05-18
Category : Mathematics
ISBN : 9781119297437
Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.
Author : Charles Seife
Publisher : Souvenir Press
Page : 253 pages
File Size : 42,5 Mb
Release : 2019-11-28
Category : Mathematics
ISBN : 9781782837329
A NEW YORK TIMES NOTABLE BOOK The Babylonians invented it, the Greeks banned it, the Hindus worshipped it, and the Christian Church used it to fend off heretics. Today it's a timebomb ticking in the heart of astrophysics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything. Zero has pitted East against West and faith against reason, and its intransigence persists in the dark core of a black hole and the brilliant flash of the Big Bang. Today, zero lies at the heart of one of the biggest scientific controversies of all time: the quest for a theory of everything. Within the concept of zero lies a philosophical and scientific history of humanity. Charles Seife's elegant and witty account takes us from Aristotle to superstring theory by way of Egyptian geometry, Kabbalism, Einstein, the Chandrasekhar limit and Stephen Hawking. Covering centuries of thought, it is a concise tour of a world of ideas, bound up in the simple notion of nothing.
Author : John Stillwell
Publisher : CRC Press
Page : 291 pages
File Size : 54,5 Mb
Release : 2018-04-27
Category : Mathematics
ISBN : 9780429998027
Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress. The author puts these creations into a broader context involving related "impossibilities" from art, literature, philosophy, and physics. This new edition contains many new exercises and commentaries, clearly discussing a wide range of challenging subjects.
Author : John Derbyshire
Publisher : Joseph Henry Press
Page : 446 pages
File Size : 41,7 Mb
Release : 2003-04-15
Category : Science
ISBN : 9780309141253
In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: "On the Number of Prime Numbers Less Than a Given Quantity." In the middle of that paper, Riemann made an incidental remark â€" a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic â€" defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark â€" the Riemann Hypothesis â€" that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows â€" subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many â€" the veritable "great white whale" of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof â€" and those who have been consumed by it.
Author : Eugenia Cheng
Publisher : Profile Books
Page : 204 pages
File Size : 40,5 Mb
Release : 2017-03-09
Category : Mathematics
ISBN : 9781782830818
SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.
Author : Constance Reid
Publisher : Unknown
Page : 145 pages
File Size : 42,9 Mb
Release : 1956
Category : Number theory
ISBN : LCCN:57002243
Author : Matt Parker
Publisher : Doubleday Canada
Page : 400 pages
File Size : 46,9 Mb
Release : 2014-12-02
Category : Mathematics
ISBN : 9780385680592
Mathematics made mouth-watering. Things to Make and Do in the Fourth Dimension is an alternative math class. How can math help you choose a second-hand car? Why is a text message like a Sudoku? How much fun can you have with a barcode? Matt Parker explains that math is difficult because it's one of the few subjects that requires us to train our brains to think in an entirely new way, and to confront things with no direct analogy in everyday life--imaginary numbers, snowflakes that only exist in 196884 dimensions, and objects beyond infinity--and shows us why it's worth the effort. Starting with basic arithmetic and geometry, Things To Make and Do teaches us the math we never got to enjoy at school. Each chapter is structured around activities and thought experiments: we are invited to make a calculator out of dominoes, find out why wrapping oranges in plastic wrap is a good way to learn about higher dimensions, and discover what soap bubbles have to teach us about calculus. A series of incremental and hugely entertaining steps take us all the way from simple algebra to the most exotic and fascinating ideas in mathematics: Klein bottles, higher dimensional topology and the many different species of infinity, via unimaginably small pizza slices, Mobius strips and a thorough examination of The Sausage Conjecture. This lively, funny, and deeply intelligent book teaches math in a fun, interactive manner rather than by rote learning and exercises. You'll not look at the number 37 the same way again. And you just might take part in Mobius strip craftwork.
Author : Anonim
Publisher : Oxford University Press
Page : 577 pages
File Size : 46,9 Mb
Release : 2022-03-31
Category : Infinite
ISBN : 9780192895622
Real Analysis and Infinity presents the essential topics for a first course in real analysis with an emphasis on the role of infinity in all of the fundamental concepts. After introducing sequences of numbers, it develops the set of real numbers in terms of Cauchy sequences of rational numbers, and uses this development to derive the important properties of real numbers like completeness. The book then develops the concepts of continuity, derivative, and integral, and presents the theory of infinite sequences and series of functions. Topics discussed are wide-ranging and include the convergence of sequences, definition of limits and continuity via converging sequences, and the development of derivative. The proofs of the vast majority of theorems are presented and pedagogical considerations are given priority to help cement the reader's knowledge. Preliminary discussion of each major topic is supplemented with examples and diagrams, and historical asides. Examples follow most major results to improve comprehension, and exercises at the end of each chapter help with the refinement of proof and calculation skills.
Author : Chris Waring
Publisher : Michael O'Mara Books
Page : 170 pages
File Size : 53,6 Mb
Release : 2012-09-06
Category : Mathematics
ISBN : 9781843179214
We may remember their equations and discoveries from school, but do we remember who the men behind the maths were? From the theories of Pythagoras (did you know he ran a secret brotherhood that studied maths, music and gymnastics?) to coining the term 'Googol', From 0 to Infinity in 26 Centuries: The extraordinary story of maths is packed full of fascinating facts and surprising stories from ancient times to the modern day. Do you want to know why the Ancient Greeks knew so much maths? Or, why there was so little maths studied in the Dark Ages? Read this fascinating book to uncover the mysteries of maths...
Author : Terence Tao
Publisher : American Mathematical Soc.
Page : 206 pages
File Size : 53,6 Mb
Release : 2021-09-03
Category : Education
ISBN : 9781470466404
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Author : Antonio Padilla
Publisher : Farrar, Straus and Giroux
Page : 211 pages
File Size : 41,5 Mb
Release : 2022-07-26
Category : Science
ISBN : 9780374600570
A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe? In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works. These strange numbers include Graham’s number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite nature can never be definitively proved, because to do so would take so much time that the universe would experience a Poincaré Recurrence—resetting to precisely the state it currently holds, down to the arrangement of individual atoms; and 10^{-120}, measuring the desperately unlikely balance of energy needed to allow the universe to exist for more than just a moment, to extend beyond the size of a single atom—in other words, the mystery of our unexpected universe. Leading us down the rabbit hole to a deeper understanding of reality, Padilla explains how these unusual numbers are the key to understanding such mind-boggling phenomena as black holes, relativity, and the problem of the cosmological constant—that the two best and most rigorously tested ways of understanding the universe contradict one another. Fantastic Numbers and Where to Find Them is a combination of popular and cutting-edge science—and a lively, entertaining, and even funny exploration of the most fundamental truths about the universe.
Author : SABUROU SAITOH
Publisher : Scientific Research Publishing, Inc. USA
Page : 203 pages
File Size : 52,7 Mb
Release : 2021-02-04
Category : Mathematics
ISBN : 9781649970893
The common sense on the division by zero with the long and mysterious history is wrong and our basic idea on the space around the point at infinity is also wrong since Euclid. On the gradient or on differential coefficients we have a great missing since tan(π/2) = 0. Our mathematics is also wrong in elementary mathematics on the division by zero. In this book in a new and definite sense, we will show and give various applications of the division by zero 0/0 = 1/0 = z/0 = 0. In particular, we will introduce several fundamental concepts in calculus, Euclidean geometry, analytic geometry, complex analysis and differential equations. We will see new properties on the Laurent expansion, singularity, derivative, extension of solutions of differential equations beyond analytical and isolated singularities, and reduction problems of differential equations. On Euclidean geometry and analytic geometry, we will find new fields by the concept of the division by zero. We will collect many concrete properties in mathematical sciences from the viewpoint of the division by zero. We will know that the division by zero is our elementary and fundamental mathematics.
Author : Andrie de Vries,Joris Meys
Publisher : John Wiley & Sons
Page : 470 pages
File Size : 46,5 Mb
Release : 2012-06-06
Category : Computers
ISBN : 9781119963134
Master the programming language of choice among statisticians and data analysts worldwide Coming to grips with R can be tough, even for seasoned statisticians and data analysts. Enter R For Dummies, the quick, easy way to master all the R you'll ever need. Requiring no prior programming experience and packed with practical examples, easy, step-by-step exercises, and sample code, this extremely accessible guide is the ideal introduction to R for complete beginners. It also covers many concepts that intermediate-level programmers will find extremely useful. Master your R ABCs ? get up to speed in no time with the basics, from installing and configuring R to writing simple scripts and performing simultaneous calculations on many variables Put data in its place ? get to know your way around lists, data frames, and other R data structures while learning to interact with other programs, such as Microsoft Excel Make data dance to your tune ? learn how to reshape and manipulate data, merge data sets, split and combine data, perform calculations on vectors and arrays, and much more Visualize it ? learn to use R's powerful data visualization features to create beautiful and informative graphical presentations of your data Get statistical ? find out how to do simple statistical analysis, summarize your variables, and conduct classic statistical tests, such as t-tests Expand and customize R ? get the lowdown on how to find, install, and make the most of add-on packages created by the global R community for a wide variety of purposes Open the book and find: Help downloading, installing, and configuring R Tips for getting data in and out of R Ways to use data frames and lists to organize data How to manipulate and process data Advice on fitting regression models and ANOVA Helpful hints for working with graphics How to code in R What R mailing lists and forums can do for you
Author : Michael Van Laanen
Publisher : Trafford Publishing
Page : 262 pages
File Size : 53,8 Mb
Release : 2002-02
Category : Mathematics
ISBN : 9781553692140
The original title of this manuscript was Pages - A Voyage to Infinity. It's kinda like Walt Whitman's Leaves of Grass; a collection of poems with an underlying mystical theme. My dissertation is a kaleidoscope puzzle of images and thoughts and concepts and ideas taken from mysticism, science, logic, and mathematics. The end result, as the puzzle pieces are linked together, is a new portrait of Number. The reader is challenged to solve a conceptual picture puzzle using the chaotic scattering of puzzle pieces set forth in the thesis. Some of the pieces challenge established ideas. Some of the pieces are decoys leading to dead ends. Some are background. Others are transition pieces. And, there are pieces that give the reader glimpses of me, the writ er of this thesis. So, exact ly what is infinit y? As the pieces of the puzzle are put together a new concept of infinity emerges, a concept that may be of interest to the mystics, the philosopher, the quantum physicist, and mathematicians who are open to a new window through which to view reality.