For warfare had already demonstrated, and has confirmed ever since, that numerical superiority consistently carries the day. And yet, every once in a while, such lopsided engagements have had an unexpected outcome, and proved to be a crucible in which great leaders, and history, are forged.Outnumbered chronicles fourteen momentous occasions on which a smaller, ostensibly weaker force prevailed in an epochal confrontation. Thus, Alexander, undaunted, devised a brilliant and daring plan that disoriented and destroyed the Persian force and, consequently, its empire. Likewise, during the U.S. Civil War, Confederate General Robert E. Lee, despite being outpositioned and outnumbered more than two to one by Union forces at Chancellorsville, Virginia, hatched an audacious and surprise strategy that caught his enemy completely unawares. Other equally unexpected, era-defining victories are shown to have derived from the devastating deployment of unusual weaponry, sheer good fortune, or even the gullibility of an enemy, as when Yamashita Tomoyuki, commander of 35,000 ill-supplied Japanese troops, convinced the 85,000-strong British Commonwealth army to surrender Singapore in 1942.Together these accounts constitute an enthralling survey that captures the excitement and terrors of battle, while highlighting the unpredictable nature of warfare and the courage and ingenuity of inspired, and inspiring, military leaders. A thrilling tour of the battlefields of history, replete with dramatic encounters, sudden twists of fate, and intriguing character studies, Outnumbered demonstrates that, even when the odds seem insurmountable, the path to glory can still be found.

    (Except secretly you really do you masochistic, beastly person you.) Illustrated, painfully funny and drop-your-jaw ridiculous, this is trivia from the cesspit of time that you won't be able to stop reading once you start.*To aid childbirth.**They exploded it with 100 times too much dynamite and rained blubber down on unsuspecting people and buildings.***Decency prevents us from answering this one here. You'll have to buy the book to find out.

    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.

    The content of this book has been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs, but more importantly intuitive explanations developed and refine through classroom experience with this material are provided. The book includes a self-contained treatment of the probability theory needed for shastic calculus, including Brownian motion and its properties. Advanced topics include foreign exchange models, forward measures, and jump-diffusion processes.This book is being published in two volumes. This second volume develops shastic calculus, martingales, risk-neutral pricing, exotic options and term structure models, all in continuous time.Masters level students and researchers in mathematical finance and financial engineering will find this book useful.Steven E. Shreve is Co-Founder of the Carnegie Mellon MS Program in Computational Finance and winner of the Carnegie Mellon Doherty Prize for sustained contributions to education.

    Our world is truly strange that so many good and helpful people find themselves preyed upon by the criminal elements. In case of an emergency or a catastrophe those odds may become even worst. My name is Roy Shepard and I’m a former IDF (Israeli Defense Forces) Special Forces Operator. During my military service, I took part in countless missions behind enemy lines and later trained young cadets as a Master Sergeant. I specialize in weapons training, stealth and camouflage, and Krav-Maga. I’ve been in active reserve duty for the past 20 years and spent much of that time formulating and implementing defense strategies and drills in military bases all over Israel. Highly trained in martial arts, I specialize in Judo, Jiu-Jitsu, Aikido, and Russian Systema—with both hand-to-hand combat and melee weapon handling. I am also an expert marksman with both close-quarters and long-range weapons. The IDF is one of the most effective militaries in the world with proven strategies and tactics that have kept Israel safe for the last 70 years. The harsh reality is that Israel is a small country surrounded by hostile nations that have been intent on destroying it since it was formed in 1948. The IDF has defended Israel in eight full-out wars and fended off many incursions and terrorist attacks. The skills that I’m about to share with you are the same ones used by the IDF Special Forces Operators to stay safe in hostile situations and will allow you to do so as well. Be it fending off a mugger in a dark parking lot or surviving a post-catastrophe scenario. The reality is that we are always only moments away from danger and knowing the exact step-by-step response can be the difference between life, injury, or even death. Using the knowledge in this book you will learn how to avoid, escape, or survive numerous dangerous situations using minimal effort. The number one thing you must remember is that being efficient can save your life. If you don’t take steps to conserve your energy, you will get tired very quickly and may lose the battle. Professional fighters can hold a full combat event for a few seconds and after that they rely solely on technique to survive and accomplish the mission. This book will teach you eight of the most effective techniques to stay safe: 1. Situational awareness 2. Tactical relocation 3. Planning for emergencies 4. Survival self-defense 5. Team roles 6. Communications 7. Fitness 8. Survival tools I look forward to seeing you as part of our community at Prepper Legend and hope you enjoy this book at least as much as I enjoyed writing it. And above all else stay safe! Your friend always, Roy Shepard

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    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.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    Suitable for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory, this book aims to give students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences.

    Why is it better to buy a lottery ticket on a Friday? Why are showers always too hot or too cold? And what's the connection between a rugby player taking a conversion and a tourist trying to get the best photograph of Nelson's Column?These and many other fascinating questions are answered in this entertaining and highly informative book, which is ideal for anyone wanting to remind themselves – or discover for the first time – that maths is relevant to almost everything we do.Dating, cooking, travelling by car, gambling and even life-saving techniques have links with intriguing mathematical problems, as you will find explained here. Whether you have a PhD in astrophysics or haven't touched a maths problem since your school days, this book will give you a fresh understanding of the world around you.

     They swore oaths, both personal and professional. They were fighting for country, for a way of life and for family. Classmates carried more than rifles and sabers into battle. They had friendships, memories, children and wives. They had innocence lost, promises broken and glory found. Duty, Honor, Country is history told both epic and personal so we can understand what happened, but more importantly feel the heart-wrenching clash of duty, honor, country and loyalty. And realize that sometimes, the people who changed history, weren’t recorded by it. In the vein of HBO’s Rome miniseries, two fictional characters, Rumble and Cord are standing at many of the major crossroads of our history. Our story starts in 1840, in Benny Havens tavern, just outside post limits of the United States Military Academy. With William Tecumseh Sherman, Rumble, Cord, and Benny Havens’ daughter coming together in a crucible of honor and loyalty. And on post, in the West Point stables, where Ulysses S. Grant and a classmate are preparing to saddle the Hell-Beast, a horse with which Grant would eventually set an academy record, and both make fateful decisions that will change the course of their lives and history. We follow these men forward to the eve of the Mexican War, tracing their steps at West Point and ranging to a plantation at Natchez on the Mississippi, Major Lee at Arlington, and Charleson, SC. We travel aboard the USS Somers and the US Navy mutiny that led to the founding of the Naval Academy at Annapolis. We end with Grant and company in New Orleans, preparing to sale to Mexico and war, and Kit Carson and Fremont at Pilot Peak in Utah during his great expedition west.

    His writing style is remarkable — unrestrained, informal, full of brilliant insight — and this style plus Huneker's wide knowledge of art and literature as well as music has kept his literacy work alive. Chopin: The Man and His Music reflects the intimate, thorough knowledge of Chopin's music that Huneker acquired while studying to be a concert pianist and his unusually keen insight into the character of the great Polish composer whose music he adored.The book is divided into two parts. The first treats Chopin's life — his youth in Poland, his emigration to Paris, the famous George Sand episode, his sickness and death — and comments on Chopin as a teacher and as a pianist and performer. The second part discusses the entire body of Chopin's music, piece by piece. Huneker notes his own overall impression of the individual compositions as well as the impressions of Schumann, George Sand, Chopin's biographer Frederick Niecks, many of the great pianists, and others. He directly compares differing editions of Chopin's Études, Preludes, Nocturnes, Mazurkas, Polonaises, Sonatas, and other works edited by von Bülow, Kullak, Riemann, Mikuli, and Godowsky in their detailed treatment of fingering, phrasing, pedaling, tempo indication, and so forth.Huneker's entire work is reprinted here unchanged, thoroughly edited in running footnotes by Herbert Weinstock to correct the exuberant Huneker's inaccuracies and to add information that modern musical scholarship has unearthed. Weinstock has also provided an engrossing introductory essay on Huneker, and has amplified the bibliography to include modern books and articles on Chopin.A classic in musical biography and commentary, this work is unsurpassed for sympathetic understanding and insight into Chopin's life and music. It will interest equally music students, pianists, and music lovers.

    While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world inwhich we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields.This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics andengineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.

    

    In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.