This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.

    As you identify your tribe and divinely align in time with God's calendar, you will discover how to find your position in God's Kingdom, how to war effectively for your inheritance, and then walk in His blessings.A Time to Advance: Understanding the Significance of the Hebrew Tribes and Months will help you understand how God is developing His whole conquering army for today. You will also understand how each part moves together, and the redemptive quality of God's covenant plan for Israel. This will help ground you on how we are grafted into a movement in days ahead.As you learn how to think like God thinks and study the Hebrew tribes and months, you will receive prophetic understanding of how the Lord orders your steps throughout the year. You will also see your place in God's next Triumphant Reserve that is rising in the Earth today!

    *Includes Day's quotes about her life and career. *Includes a bibliography for further reading. *Includes a table of contents. “I’ve been through everything. I always said I was like those round-bottomed circus dolls — you know, those dolls you could push down and they’d come back up? I’ve always been like that. I’ve always said, ‘No matter what happens, if I get pushed down, I’m going to come right back up.’” – Doris Day A lot of ink has been spilled covering the lives of history’s most influential figures, but how much of the forest is lost for the trees? In Charles River Editors’ American Legends series, readers can get caught up to speed on the lives of America’s most important men and women in the time it takes to finish a commute, while learning interesting facts long forgotten or never known. It goes without saying that few people have a career spanning 8 decades, yet that claim to fame is occupied by the legendary Doris Day, who got her start in show business as a singer in a big band in 1939 and has not let up since. From there, Day went on to record dozens of albums and hundreds of songs, winning a countless number of awards on the way to being one of the 20th century’s most popular singers. One of those recognitions came just a few years ago in 2011, when Day, by that time nearing 90 years old, released a new album that charted 9th in the UK Top 40 Albums, making her the oldest singer ever with that distinction. Her musical career would’ve been impressive enough, but Doris Day is just as well known today for her film career, which wasn’t so bad itself. Though her time in Hollywood was much shorter in comparison to her music career, she nevertheless managed to reach the top in that industry as well. As one of the most popular actresses of the ‘60s, Day was the biggest box office draw in Hollywood in the early half of that decade, and the only woman among the Top 10. In the process of making nearly 40 movies, Day would eventually be recognized as the highest grossing actress in history, and at the same time she was good enough at her craft to be nominated for an Oscar for Best Actress. Amazingly, despite her incredible success in both music and film, Day eventually found herself bankrupt due to the mismanagement of her money by her husband, compelling her to reinvent herself as the host of a popular television sitcom. Perhaps not surprisingly, Day excelled in this field as well, making The Doris Day Show one of the most popular shows on television for several years at the end of the ‘60s. American Legends: The Life of Doris Day examines the life and career of one of the entertainment industry’s biggest stars. Along with pictures of important people, places, and events, you will learn about Doris Day like never before, in no time at all.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    In "Musimathics," Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music -- a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio.Additional material can be found at http: //www.musimathics.com.

    

    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.

    In an era of the military space race, Erich von Däniken boldly proclaimed that Earth had been visited by more advanced beings early in our history. But prescientific man had no concept of space ships, so he called their vehicles “chariots,” and those driving the chariots became “gods.” Over the next five decades, von Däniken’s more than 40 books built an ever-stronger case for Earth being visited by extraterrestrial visitors. And Chariots became an international best seller, with 30 million copies sold in more than two dozen languages. Also during that time, the case for ET visitations millennia ago was being reexamined by contemporary UFO researchers, who found evidence of modern visitations. And von Däniken expanded his perspective to encompass the present. Now, he presents his long-awaited sequel to Chariots of the Gods, proclaiming that the gods never left us with all-new material to show that ancient aliens are still with us. The Gods Never Left Us contends that recent advancements in biotechnology, astrophysics, engineering, and artificial intelligence not only give us a fresh perspective on his ancient astronaut theory but actually validates it. We are—as a race—embarking on the exact same trajectory of our own interplanetary colonization, just as von Däniken suggested Earth itself was colonized. ETs are definitely at work today. And that affects all of us. Why do they do what they do? What could an extraterrestrial species possibly gain from observing us in the same way we look at ants? What have these strangers wanted for the past thousands of years? Can’t they leave us alone? And what makes it so difficult for us to acknowledge the existence of these extraterrestrials? That is what this book deals with. "Erich's newest book is a fascination journey from the ancient past into the present with a plethora of scientific evidence and documented research. As always, he ads his own "to the point" take on it all. Readers may also like that his newest work moves in a slightly different direction from his past books. A thoroughly enlightening and enjoyable Read." —Bruce Cunningham, Director, Ancient Mysteries International LLC & Publisher of Advanced Archaeology Review magazine

    Moreover, the achievements of the early people of Africa are as amazing and inspiring as the achievements of any other people.This history is much older than the Trans-Atlantic Slave Trade.The author introduces his readers to the early civilizations of Africa that existed long before the coming of the Europeans. Among these were the Songhai Empire, the Benin Empire, the Kanem-Borno Empire, the Monomotapa Empire, the Swahili Confederation, the Medieval Nubian kingdoms and the Axumite Empire.The author also introduces the ancient civilizations of Africa particularly those of the Nile Valley such as Nubia and Ancient Egypt.The book is illustrated with 18 images and maps. Finally, the book recommends other books for more in depth study.

    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.

    Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

    Linear algebra is tightly integrated into the text.

    By the time she was a young teenager, she was already making news and attracting attention. Taylor would go onto star in movies such as A Place in the Sun, Butterfield 8, Who's Afraid of Virginia Woolf?, and Cleopatra, where she played opposite Richard Burton. Her affair with Burton caused a worldwide scandal, and the movie almost ruined Twentieth Century Fox. Taylor and Burton were married and divorced twice, with the world watching their every scandalous move.In her fifties, when Taylor was no longer in demand for leading lady roles, she developed her own brand of perfumes and jewelry. These were so successful that she made more money from her brands than from her movies. She also became the voice for AIDS when everyone else in Hollywood ignored the subject. Her grandchildren have now taken over the Elizabeth Taylor AIDS Foundation and continue her work long after her death. Elizabeth Taylor, the “most beautiful woman in the world,” will continue to affect people for years to come.Discover a plethora of topics such as∙Born Beautiful∙Becoming Mrs. Hilton∙Cleopatra and Eddie Fisher∙On the Campaign Trail∙The Elizabeth Taylor AIDS Foundation∙Late Life and Death∙And much more!So if you want a concise and informative book on Elizabeth Taylor, simply scroll up and click the "Buy now" button for instant access!

    For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.Fernandez uses our everyday experiences to skillfully reveal the hidden calculus behind a typical day's events. He guides us through how math naturally emerges from simple observations-how hot coffee cools down, for example-and in discussions of over fifty familiar events and activities. Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful-determining which seat at the theater leads to the best viewing experience, for instance-and fascinating-exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes.Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus invites you to spend a day discovering the calculus all around you. The book will convince even die-hard skeptics to view this area of math in a whole new way.