Million Dollar Maths

Author : Hugh Barker
Publisher : Atlantic Books
Page : 253 pages
File Size : 46,8 Mb
Release : 2018-11-01
Category : Mathematics
ISBN : 9781786493231

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Million Dollar Maths by Hugh Barker Pdf

Million Dollar Maths is an invaluable guide to the straightforward and outlandish mathematical strategies that can make you rich. ____________ How can you turn $1000 into $1 million? What is the best way to beat the lottery odds? When is the best time to take out a loan? How did one group of gamblers bet on hole-in-ones to win £500,000? How can maths help you set up a successful tech start-up? What about proving the Goldbach Conjecture for $1 million? Learn the techniques for growing your everyday finances, as well as the common mistakes to avoid. Discover the skills, both fair and foul, that offer an additional edge when investing and gambling. And discover why we often misunderstand probability and statistics - with troubling financial costs. From making the most of special offers to utilising the power of exponential growth in your investments; from the art of card counting, to inventing the next Google, Million Dollar Maths is the quintessential primer to the myriad ways maths and finance intersect.

Author : Hugh Barker
Publisher : Robinson
Page : 256 pages
File Size : 49,7 Mb
Release : 2020-11-05
Category : Mathematics
ISBN : 9781472143600

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Lying Numbers by Hugh Barker Pdf

A readily understandable exploration of how figures are badly reported or deliberately misrepresented everywhere from political arguments and briefings to business presentations and shopping offers. Praise for Hugh Barker's Million Dollar Maths: 'Great fun. A clear, original and highly readable account of the curious relationship between mathematics and money.' Professor Ian Stewart - author of Significant Figures 'A lively crash course in the mathematics of gambling, investing, and managing. Hugh Barker makes deep ideas fun and profitable.' William Poundstone - author of How to Predict the Unpredictable Politicians, economists, scientists, journalists . . . all of them have been known to bend the truth and to twist the facts from time to time. But surely the numbers and statistics they rely on are cold, hard objective facts that tell the real story? Of course the truth is much murkier than that. Figures can be misinterpreted, misunderstood, misconstrued and misused in hundreds of different ways. This book takes a look at the many ways that statistical information can be badly reported or deliberately misused in all walks of life, from political arguments, to business presentations, to more local concerns such as shopping offers and utility bills. A polemical guide to how numbers are used to mislead, which is intended to help the reader through the minefield of dubious stats and lying numbers.

Author : Keith J. Devlin
Publisher : Granta Books
Page : 237 pages
File Size : 46,6 Mb
Release : 2005
Category : Mathematical recreations
ISBN : 1862077355

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The Millennium Problems by Keith J. Devlin Pdf

In 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: Whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive $1million in prize money. They encompass many of the most fascinating areas of pure and applied mathematics, from topology and number theory to particle physics, cryptography, computing and even aircraft design. Keith Devlin describes here what the seven problems are, how they came about, and what they mean for mathematics and science. In the hands of Devlin, each Millennium Problem becomes a fascinating window onto the deepest questions in the field.

Author : Ian Stewart
Publisher : Profile Books
Page : 320 pages
File Size : 43,5 Mb
Release : 2010-09-03
Category : Mathematics
ISBN : 9781847651280

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Professor Stewart's Cabinet of Mathematical Curiosities by Ian Stewart Pdf

School maths is not the interesting part. The real fun is elsewhere. Like a magpie, Ian Stewart has collected the most enlightening, entertaining and vexing 'curiosities' of maths over the years... Now, the private collection is displayed in his cabinet. There are some hidden gems of logic, geometry and probability -- like how to extract a cherry from a cocktail glass (harder than you think), a pop up dodecahedron, the real reason why you can't divide anything by zero and some tips for making money by proving the obvious. Scattered among these are keys to unlocking the mysteries of Fermat's last theorem, the Poincar Conjecture, chaos theory, and the P/NP problem for which a million dollar prize is on offer. There are beguiling secrets about familiar names like Pythagoras or prime numbers, as well as anecdotes about great mathematicians. Pull out the drawers of the Professor's cabinet and who knows what could happen...

Author : Karl Sabbagh
Publisher : Atlantic Books (UK)
Page : 306 pages
File Size : 40,8 Mb
Release : 2003
Category : Biography & Autobiography
ISBN : CHI:76308988

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Dr. Riemann's Zeros by Karl Sabbagh Pdf

In 1859 Bernhard Riemann, a shy German mathematician, gave an answer to a problem that had long puzzled mathematicians. Although he couldn't provide a proof, Riemann declared that his solution was 'very probably' true. For the next one hundred and fifty years, the world's mathematicians have longed to confirm the Riemann hypothesis. So great is the interest in its solution that in 2001, an American foundation offered a million-dollar prize to the first person to demonstrate that the hypothesis is correct. In this book, Karl Sabbagh makes accessible even the airiest peaks of maths and paints vivid portraits of the people racing to solve the problem. Dr. Riemann's Zeros is a gripping exploration of the mystery at the heart of our counting system.

Author : John Derbyshire
Publisher : Joseph Henry Press
Page : 446 pages
File Size : 41,9 Mb
Release : 2003-04-15
Category : Science
ISBN : 9780309141253

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Prime Obsession by John Derbyshire Pdf

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 : Ian Stewart
Publisher : Profile Books
Page : 340 pages
File Size : 42,8 Mb
Release : 2013-03-07
Category : Mathematics
ISBN : 9781847653512

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The Great Mathematical Problems by Ian Stewart Pdf

There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincar Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

Author : Milo Beckman
Publisher : Penguin
Page : 225 pages
File Size : 50,8 Mb
Release : 2022-01-11
Category : Mathematics
ISBN : 9781524745561

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Math Without Numbers by Milo Beckman Pdf

An illustrated tour of the structures and patterns we call "math" The only numbers in this book are the page numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject. Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world. The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.

Author : Avi Wigderson
Publisher : Princeton University Press
Page : 434 pages
File Size : 53,9 Mb
Release : 2019-10-29
Category : Computers
ISBN : 9780691189130

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Mathematics and Computation by Avi Wigderson Pdf

An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Author : Steve Humble
Publisher : Routledge
Page : 146 pages
File Size : 44,9 Mb
Release : 2017-09-08
Category : Education
ISBN : 9781134139538

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The Experimenter's A-Z of Mathematics by Steve Humble Pdf

Mathematics at all levels is about the joy in the discovery; it's about finding things out. This fascinating book is a guide to that discovery process, presenting ideas for practical classroom-based experiments and extension activities. Each experiment is based on the work of a key mathematician who has shaped the way that the subject looks today, and there are historical notes to help teachers bring this work to life. The book includes instructions on how to recreate the experiments using practical mathematics, computer programs and graphical calculators; ideas for follow-up work; background information for teachers on the mathematics involved; and links to the new secondary numeracy strategy framework. Accompanying the book is a CD-ROM with downloadable computer programs that can be used and reworked as part of the experimental process. With a wide range of topics covered, and plenty of scope for interesting follow-up activities, the book will be a valuable tool for mathematics teachers looking to extend the curriculum.

Author : Peter B. Borwein
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 46,6 Mb
Release : 2008
Category : Mathematics
ISBN : 9780387721255

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The Riemann Hypothesis by Peter B. Borwein Pdf

The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors." The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers. This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.

Author : Eric Lehman,F. Thomson Leighton,Albert R. Meyer
Publisher : Unknown
Page : 988 pages
File Size : 50,8 Mb
Release : 2017-03-08
Category : Business & Economics
ISBN : 9888407066

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Mathematics for Computer Science by Eric Lehman,F. Thomson Leighton,Albert R. Meyer Pdf

This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Author : Anna Milbourne,Serena Riglietti
Publisher : Usborne Pub Limited
Page : 32 pages
File Size : 52,9 Mb
Release : 2007
Category : Juvenile Fiction
ISBN : 0794519245

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How Big Is A Million? by Anna Milbourne,Serena Riglietti Pdf

Pipkin the penguin sets out to discover how many things are in a million, with the help of his mother and a playful seal cub.

Author : Lancelot Thomas Hogben
Publisher : Unknown
Page : 700 pages
File Size : 55,6 Mb
Release : 1946
Category : Civilization
ISBN : UOM:39015065517032

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Mathematics for the Million by Lancelot Thomas Hogben Pdf

Author : Roland van der Veen,Jan van de Craats
Publisher : The Mathematical Association of America
Page : 157 pages
File Size : 52,6 Mb
Release : 2016-01-06
Category : Mathematics
ISBN : 9780883856505

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The Riemann Hypothesis by Roland van der Veen,Jan van de Craats Pdf

This book introduces interested readers to one of the most famous and difficult open problems in mathematics: the Riemann Hypothesis. Finding a proof will not only make you famous, but also earns you a one million dollar prize. The book originated from an online internet course at the University of Amsterdam for mathematically talented secondary school students. Its aim was to bring them into contact with challenging university level mathematics and show them why the Riemann Hypothesis is such an important problem in mathematics. After taking this course, many participants decided to study in mathematics at university.