The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time


Jason Socrates Bardi - 2006
    But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

Creative Writing for Dummies


Maggie Hamand - 2010
    Walking you through characterisation, setting, dialogue and plot, as well as giving expert insights into both fiction and non-fiction, it's the ideal launching pad to the world of creative writing. Creative Writing For Dummies covers:Part I: Getting startedChapter 1: Can Everyone Write? Chapter 2: Getting into the Write Mind Chapter 3: Finding the Material to work with Part II: The Elements of Creative WritingChapter 4: Creating Characters Chapter 5: Discovering Dialogue Chapter 6: Who is telling the story? Chapter 7: Creating your own world Chapter 8: Plotting your way Chapter 9: Creating a Structure Chapter 10: Rewriting and editing Part III: Different Kinds of Fiction WritingChapter 11: Short stories Chapter 12: Novels Chapter 13: Writing for children Chapter 14: Plays Chapter 15: Screenplays Chapter 16: Poetry Part IV: Different kinds of Non-fiction writingChapter 17: Breaking into journalism - Writing articles/ magazine writing Chapter 18: Writing from life and autobiography Chapter 19: Embroidering the facts: Narrative non-fiction Chapter 20: Exploring the world from your armchair - Travel writing Chapter 21: Blogging - the new big thing Part V: Finding an audienceChapter 22: Finding editors/ publishers/ agents Chapter 23: Becoming a professional Part VI: Part of TensChapter 24: Ten top tips for writers Chapter 25: Ten ways to get noticed

A Brief History of Mathematical Thought: Key concepts and where they come from


Luke Heaton - 2015
    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century


Masha Gessen - 2009
    A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelman’s teachers, classmates, coaches, teammates, and colleagues in Russia and the United States—and informed by her own background as a math whiz raised in Russia—Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.

An Investigation of the Laws of Thought


George Boole - 1854
    A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.

R for Data Science: Import, Tidy, Transform, Visualize, and Model Data


Hadley Wickham - 2016
    This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible. Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You’ll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you’ve learned along the way. You’ll learn how to: Wrangle—transform your datasets into a form convenient for analysis Program—learn powerful R tools for solving data problems with greater clarity and ease Explore—examine your data, generate hypotheses, and quickly test them Model—provide a low-dimensional summary that captures true "signals" in your dataset Communicate—learn R Markdown for integrating prose, code, and results

Windows 10 For Dummies


Andy Rathbone - 2015
    In short, it's the brain and heart of your computer. The simple steps and friendly advice inside help you manage files and applications, connect to the Internet, customize your Windows experience, and make repairs when things go haywire.Fast answers to Windows 10 questions Steps for customizing your Windows 10 PC Tips for solving common Windows problems Covers using Windows 10 on a tablet If you're new to Windows or upgrading to its new operating system, grab this book to get to know Windows 10 a little better.

The Formula: How Algorithms Solve all our Problems … and Create More


Luke Dormehl - 2014
    What if everything in life could be reduced to a simple formula? What if numbers were able to tell us which partners we were best matched with – not just in terms of attractiveness, but for a long-term committed marriage? Or if they could say which films would be the biggest hits at the box office, and what changes could be made to those films to make them even more successful? Or even who out of us is likely to commit certain crimes, and when? This may sound like the world of science-fiction, but in fact it is just the tip of the iceberg in a world that is increasingly ruled by complex algorithms and neural networks.In The Formula, Luke Dormehl takes you inside the world of numbers, asking how we came to believe in the all-conquering power of algorithms; introducing the mathematicians, artificial intelligence experts and Silicon Valley entrepreneurs who are shaping this brave new world, and ultimately asking how we survive in an era where numbers can sometimes seem to create as many problems as they solve.

The Social Animal: The Hidden Sources of Love, Character, and Achievement


David Brooks - 2011
    Now, with the intellectual curiosity and emotional wisdom that make his columns among the most read in the nation, Brooks turns to the building blocks of human flourishing in a multilayered, profoundly illuminating work grounded in everyday life.This is the story of how success happens. It is told through the lives of one composite American couple, Harold and Erica—how they grow, push forward, are pulled back, fail, and succeed. Distilling a vast array of information into these two vividly realized characters, Brooks illustrates a fundamental new understanding of human nature. A scientific revolution has occurred—we have learned more about the human brain in the last thirty years than we had in the previous three thousand. The unconscious mind, it turns out, is most of the mind—not a dark, vestigial place but a creative and enchanted one, where most of the brain’s work gets done. This is the realm of emotions, intuitions, biases, longings, genetic predispositions, personality traits, and social norms: the realm where character is formed and where our most important life decisions are made. The natural habitat of The Social Animal. Drawing on a wealth of current research from numerous disciplines, Brooks takes Harold and Erica from infancy to school; from the “odyssey years” that have come to define young adulthood to the high walls of poverty; from the nature of attachment, love, and commitment, to the nature of effective leadership. He reveals the deeply social aspect of our very minds and exposes the bias in modern culture that overemphasizes rationalism, individualism, and IQ. Along the way, he demolishes conventional definitions of success while looking toward a culture based on trust and humility.The Social Animal is a moving and nuanced intellectual adventure, a story of achievement and a defense of progress. Impossible to put down, it is an essential book for our time, one that will have broad social impact and will change the way we see ourselves and the world.

Linear Algebra


Stephen H. Friedberg - 1979
     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

Hidden In Plain Sight 2: The Equation of the Universe


Andrew H. Thomas - 2013
    Enjoy a thrilling intergalactic tour as Andrew Thomas redefines the force of gravity and introduces a brave new view of the universe!

Criminology For Dummies


Steven Briggs - 2009
    You'll gain real-world knowledge of the reasons for and consequences of crime, the way society responds to it, and, most important, how crime can be prevented.Enter the world of crime -- understand what crime is, how it is measured, and the various ways crime affects victims and societyIdentify different types of crime -- from white-collar crime to organized crime to terrorism, examine the nature of crime and why certain criminals are attracted to specific crimes Know who commits crimes, and why -- explore different theories that attempt to explain why people commit crimesTake it to the streets -- follow law enforcement officials and federal agencies as they chase and apprehend the bad guysSeek justice -- meet the key players in the criminal justice system and see why and how the guilty are punishedDeal with juveniles -- know the differences between adult and juvenile systems, realize why youths are treated differently, and review modern methods for treatmentOpen the book and find: Common criminal traitsThe causes of violent crimes Recent efforts to secure victims' rightsThe processes used to solve crimesA step-by-step walkthrough of the criminal justice process Ways to recognize and fight back against crimeJobs in the criminal justice fieldTen notorious, unsolved crimes

The Algorithm Design Manual


Steven S. Skiena - 1997
    Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

Astrology For Dummies


Rae Orion - 1999
    You'll learn how to construct your birth chart, interpret its component parts, and use that information to gain insight into yourself and others. With easy-to-follow, hands-on guidance, you'll discover how to:Identify the signs of the zodiac Understand the Sun, the Moon, the planets, the rising sign, and the 12 houses Discover the rulers of the signs Map your own horoscope (or a friend's) Use astrology in daily life Capture the heart of each sign of the zodiac, and more! Astrology for Dummies, Second Edition demystifies astrological charts and uses plain English to show you how you can take advantage of the wisdom of the stars. Whether you're looking to assess relationships, examine your potential, or make some basic decisions -- like, when to go on a first date -- Astrology for Dummies, Second Edition helps you discover how understanding your position in the cosmos illuminates the secret corners of the self, provides a key to understanding others, and even offers a glimpse into the future.

On Formally Undecidable Propositions of Principia Mathematica and Related Systems


Kurt Gödel - 1992
    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.