Contains 640 problems including solutions; additional practice problems with answers; explanations of complex variable theory; coverage of applications of complex variables in engineering, physics, and elsewhere, with accompanying sample problems and solutions.

    

    Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.

    Perform this genius seemingly-mathematical feat on any napkin, any receipt, or even on your friend's arm.You can learn the famous Magic Square, and you can learn it in under 10 minutes.You will have a magician's Grand Finale, in your hands at any moment. This gets audible gasps, and you can wow people with this for the rest of your life...**************************THE PERFORMANCE:**************************Your friend will name a random number. You then speedily write 16 different numbers into a 4x4 grid. With a smug flourish, you then reveal that all combinations and directions within the grid add up to their chosen number. It is simply mind-blowing.Effortlessly perform a trick that it seems only a computer could perform, and learn how in 10 minutes from right now.

    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.

    These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

    In Where There's a Will, Stephen M. Silverman shows just how different with a peek at the wills of the richest, most celebrated people of all time, and he provides the intimate scoop on what their heirs had to say about it. Discover what secret pact Clark Gable made in 1942 and took to his grave - only to be exposed when his will was read. Learn why it took more than a year for Liza Minnelli to raise the $37,500 needed to bury the ashes of her mother, Judy Garland, and what treasures were left to the heirs of Babe Ruth, James Dean, John Jacob Astor, Ernest Hemingway, and Ayn Rand once those wills cleared probate. From Marilyn Monroe and Andy Warhol to John Lennon, Jim Morrison, John Steinbeck, Rita Hayworth, and Jack Dempsey, Where There's a Will . . . is an utterly engrossing read sure to captivate tycoons and gossip addicts alike with its fascinating tales of how the other half bequeaths.

    With problems and solutions. Includes 99 illustrations.

    It covers areas such as fundamentals, logic, counting, relations and digraphs, trees, topics in graph theory, languages and finite-state machines, and groups and coding.

     This book is perfect for history lovers. Author James Weber did the research and compiled this huge list of events that changed the course of history forever. Some of them include: - The first civilization in Mesopotamia in 3,000 B.C. - The Norman Invasion of England in 1066 - The invention of the printing press by Johannes Guttenberg around 1450 - The French Revolution in 1789 - The first motorized airplane flight in 1903 - The Moonlanding in 1969 and many many more The book includes pictures and explanations to every event, making this the perfect resource for students and anyone wanting to broaden their knowledge in histoy. Download your copy now! Tags: history, world history, history books, history of the world, human history, world history textbook, history books for kids, earth history, geographic history, earth history kindle, human history, history books for kids age 9 12, history of the world part 1, a little history of the world, history books for kids age 7-9, history books for young readers, history books for children, history books for kindle,

    Visit Copenhagen's Tivoli Gardens or appreciate the historical, classical architecture of the Cathedral of Our Lady and Copenhagen University. You'll get Rick's firsthand advice on the best sights, eating, sleeping, and nightlife, and the maps and self-guided tours will ensure you make the most of your experience. More than just reviews and directions, a Rick Steves Snapshot guide is a tour guide in your pocket.Rick Steves' Snapshot guides consist of excerpted chapters from Rick Steves' European country guidebooks. Snapshot guides are a great choice for travelers visiting a specific city or region, rather than multiple European destinations. These slim guides offer all of Rick's up-to-date advice on what sights are worth your time and money. They include good-value hotel and restaurant recommendations, with no introductory information (such as overall trip planning, when to go, and travel practicalities).

    The absence of a book, explaining the techniques in a simple language, has been felt acutely for a long time. This book has been written using a step-by-step approach, and attempts to fill the existing void. It includes several solved problems in addition to 1000 practice problems with answers. It also includes a special chapter which shows the application of the techniques to problems set in competitive exams like CAT, CET etc.People from all walks of life including school and college students, teachers, parents and also those from non-mathematical areas of study will discover the joys of solving mathematical problems using the wonderful set of techniques called Vedic Maths.

     In our world today we hear a lot about self-love; a lot about embracing who you are now. But if you really love yourself and your body, you wouldn't act like you have a spare. It is never too late to love yourself enough to be healthy. WARNING IF YOU ARE SENSITIVE, DO NOT BUY THIS BOOK. It's not for you. This book is for people with thick skin who believe good health is more important than polite presentation. So if you care about getting healthy, staying fit, and doing it in a sustainable way - then consider this book your drill instructor (harsh language and all). ABOUT THE AUTHOR Alan Roberts is the founder of Every Damn Day Fitness and Co-Founder of the Damn Collective with his wife Crystal. Together, they have helped thousands of people increase the quality of their lives by coaching them to healthier habits, wisdom which they accrued through trial and error in their own lives. Originally from Pittsburgh, PA, Alan now resides in sunny, south west Florida.

    Based on a course of lectures delivered by the author at Columbia University, the text is elementary in treatment and remarkable for its clarity and organization. Although it is assumed that the reader is familiar with the fundamental facts of thermometry and calorimetry, no advanced mathematics beyond calculus is assumed.Partial contents: thermodynamic systems, the first law of thermodynamics (application, adiabatic transformations), the second law of thermodynamics (Carnot cycle, absolute thermodynamic temperature, thermal engines), the entropy (properties of cycles, entropy of a system whose states can be represented on a (V, p) diagram, Clapeyron and Van der Waals equations), thermodynamic potentials (free energy, thermodynamic potential at constant pressure, the phase rule, thermodynamics of the reversible electric cell), gaseous reactions (chemical equilibria in gases, Van't Hoff reaction box, another proof of the equation of gaseous equilibria, principle of Le Chatelier), the thermodynamics of dilute solutions (osmotic pressure, chemical equilibria in solutions, the distribution of a solute between 2 phases vapor pressure, boiling and freezing points), the entropy constant (Nernst's theorem, thermal ionization of a gas, thermionic effect, etc.).

    The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.