You will be astonished to learn about some of the events that have occurred! Here is a Sneak Peek of What you will Learn: - Ancient History - Asian History - European and Russian History - American History - Australian History - World Wars I & II, and the Vietnam War - And much, much, more Here is what other readers say about this book: "This book is packed with really important information about the world's history." "I was surprised how much I learned from this. I really like how everything is laid out, it makes it very easy to follow. I especially like the section on Native Americans" "I couldn't put this book down, and not because I'm a nerdy avid reader (I am) but because it's filled with so much about our world history without the facts jumping all over the place like some history books I've read." "I am highly impressed by the content of this book and I would recommend this to all my colleagues as well" Subjects include: Ancient Greece, Ancient Egypt, The Roman Empire, Constantine and Christianity, India, Ancient Korea, Chinese Dynasties, Napoleonic Europe, Foundation of USA, The 1812 War, Australia and Wars, World War I, World War II, The Ottoman Empire, Greece and North Africa, The Diem Regime, Pearl Harbor and much more! All Continents As Known Today Are Covered: North America, Europe, Asia, Africa and Australia. Take action and get this book now!

    The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

    To Alexander the Great, the country was a place of clever naked philosophers and massive armies mounted on elephants – which eventually forced his army to retreat. To ancient Rome, it was a source of luxuries, mainly spices and textiles, paid for in gold—hence the enormous numbers of Roman gold coins excavated in India. At the height of the Mughal empire in 1700, India boasted 24 percent of the world economy—a share virtually equal to Europe’s 25 percent. But then its economy declined. Colonial India was known for its extremes of wealth and poverty, epitomized by the Taj Mahal and famines, maharajas and untouchables, and also for its spirituality: many-armed Hindu gods and Buddhist philosophy, Mahatma Gandhi and Rabindranath Tagore.India: A Short History places as much emphasis on individuals, ideas and cultures as on the rise and fall of kingdoms, political parties and economies. Anyone curious about a great civilization, and its future, will find this an ideal introduction, at times controversial, written by an author who has been strongly engaged with India for more than three decades.

    But as risk expert Gerd Gigerenzer shows, the surprising truth is that in the real world, we often get better results by using simple rules and considering less information. In Risk Savvy, Gigerenzer reveals that most of us, including doctors, lawyers, financial advisers, and elected officials, misunderstand statistics much more often than we think, leaving us not only misinformed, but vulnerable to exploitation. Yet there is hope. Anyone can learn to make better decisions for their health, finances, family, and business without needing to consult an expert or a super computer, and Gigerenzer shows us how.Risk Savvy is an insightful and easy-to-understand remedy to our collective information overload and an essential guide to making smart, confident decisions in the face of uncertainty.

    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

    They even became friends over the years, but they parted ways when it came to psychology. While Freud's approach was clinical and scientific in the Western sense, Jung started to draw his inspiration from Eastern philosophies and religions. Because of Carl Jung we have today a bridge between the mythological and mysterious world and the world of psychology. His research into dreams and sub-conscious parts of the minds offers riveting insights into human psychology that none before him have been able to. While Freudian psychology is still the branch most taught within universities, there is a large undercurrent of Jungian psychology seeping into our society. Especially the spiritualists and the New Age movement have embraced Jung as a teacher to better understand their own "Shadows" and dark aspects of the psyche. In this short read you will be given a concise and insightful introduction into the world and psychology of Carl Jung.

    The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

    Nor do you need to burn incense or rub crystals.This book shows you easy ways to meditate whenever and wherever you want—you’ll learn how to do it without anyone knowing—and still hang out with your military pals, cop buddies, and fellow martial arts students. You can still own a pit bull, drive a Harley, and share lies with your drinking buddies. The same is true whether you’re a firefighter, doorman, bodyguard, medic, or security officer. The simple fact is, meditation as taught within these pages, will make you a better warrior.

    Politicians and marketers present shoddy evidence for dubious claims all the time. But smart people make mistakes too, and when it comes to statistics, plenty of otherwise great scientists--yes, even those published in peer-reviewed journals--are doing statistics wrong."Statistics Done Wrong" comes to the rescue with cautionary tales of all-too-common statistical fallacies. It'll help you see where and why researchers often go wrong and teach you the best practices for avoiding their mistakes.In this book, you'll learn: - Why "statistically significant" doesn't necessarily imply practical significance- Ideas behind hypothesis testing and regression analysis, and common misinterpretations of those ideas- How and how not to ask questions, design experiments, and work with data- Why many studies have too little data to detect what they're looking for-and, surprisingly, why this means published results are often overestimates- Why false positives are much more common than "significant at the 5% level" would suggestBy walking through colorful examples of statistics gone awry, the book offers approachable lessons on proper methodology, and each chapter ends with pro tips for practicing scientists and statisticians. No matter what your level of experience, "Statistics Done Wrong" will teach you how to be a better analyst, data scientist, or researcher.

    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    Focusing on art before 1520, this edition organizes the material chronologically. It now incorporates considerable new material on the history of music and theatre, and updates scholarship on ancient art.

    Bayesian statistics is taught in most first-year statistics classes across the nation, but there is one major problem that many students (and others who are interested in the theorem) face. The theorem is not intuitive for most people, and understanding how it works can be a challenge, especially because it is often taught without visual aids. In this guide, we unpack the various components of the theorem and provide a basic overview of how it works - and with illustrations to help. Three scenarios - the flu, breathalyzer tests, and peacekeeping - are used throughout the booklet to teach how problems involving Bayes Theorem can be approached and solved. Over 60 hand-drawn visuals are included throughout to help you work through each problem as you learn by example. The illustrations are simple, hand-drawn, and in black and white. For those interested, we have also included sections typically not found in other beginner guides to Bayes Rule. These include: A short tutorial on how to understand problem scenarios and find P(B), P(A), and P(B|A). For many people, knowing how to approach scenarios and break them apart can be daunting. In this booklet, we provide a quick step-by-step reference on how to confidently understand scenarios.A few examples of how to think like a Bayesian in everyday life. Bayes Rule might seem somewhat abstract, but it can be applied to many areas of life and help you make better decisions. It is a great tool that can help you with critical thinking, problem-solving, and dealing with the gray areas of life. A concise history of Bayes Rule. Bayes Theorem has a fascinating 200+ year history, and we have summed it up for you in this booklet. From its discovery in the 1700’s to its being used to break the German’s Enigma Code during World War 2, its tale is quite phenomenal.Fascinating real-life stories on how Bayes formula is used in everyday life.From search and rescue to spam filtering and driverless cars, Bayes is used in many areas of modern day life. We have summed up 3 examples for you and provided an example of how Bayes could be used.An expanded definitions, notations, and proof section.We have included an expanded definitions and notations sections at the end of the booklet. In this section we define core terms more concretely, and also cover additional terms you might be confused about. A recommended readings section.From The Theory That Would Not Die to a few other books, there are a number of recommendations we have for further reading. Take a look! If you are a visual learner and like to learn by example, this intuitive booklet might be a good fit for you. Bayesian statistics is an incredibly fascinating topic and likely touches your life every single day. It is a very important tool that is used in data analysis throughout a wide-range of industries - so take an easy dive into the theorem for yourself with a visual approach!If you are looking for a short beginners guide packed with visual examples, this booklet is for you.

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.