It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    Read on your PC, Mac, smart phone, tablet or Kindle device. You’re about to unveil the power of smoothies... Not only will "Your Guide to Weight Loss Smoothies" motivate you to take action along your weight loss journey, but it will also provide you with proven weight loss inducing smoothie recipes. This book takes all the guesswork out of how to make lip smacking smoothies every time! As you know, one of the main road blocks to losing weight is not having a plan. Well, with this guide you don't need one! Simply read the book, grab the ingredients, throw them in your blender and drink! Yes, it really is that easy. Don't believe me? Check out what's inside... How smoothies will jumpstart your weight loss Why smoothies will melt the inches off fast Easy (and delicious) ways to get in your daily greens What to add to make your smoothies a complete meal Why smoothies alone, can take your health to a whole new level A variety of recipes to satisfy your taste buds Learn what surprising weight-inducing ingredients you should avoid Much, much more! Grab your copy today! If you're looking for a fast weight loss fix that's easy and proven, then download this guide now and create the body you've always wanted! Tags: weight loss smoothies, green smoothie recipes, smoothies for weight loss, smoothie recipes for weight loss, smoothie recipe book, green smoothies, green smoothie diet, healthy smoothies, smoothie recipes for health, diet smoothies, paleo smoothies, green smoothies diet, green smoothie cleanse, green smoothies for weight loss, weight loss green smoothies, green smoothie detox, healthy green smoothies, healthy breakfast smoothies, healthy fruit smoothies, healthy smoothie recipe book

    This e-book is a completely new way to learn Brazilian Portuguese vocabulary fast - and for free! Start speaking Brazilian Portuguese in minutes with the powerful learning methods you will master in this book.The vocabulary words you’ll find in Learn BrazilianPortuguese - Word Power 101 were hand selected by our Brazilian Portuguese language teachers as the top 101 most frequently used words in the Brazilian Portuguese language. With each entry, you’ll see the word and a vibrant image to help remember the meaning. You’ll hear the word (separate free download) to master the pronunciation. Then you’ll see how the word is actually used in everyday speech with sample sentences and phrases. Learning Brazilian Portuguese vocabulary has never been easier!In this book, you’ll get: - 101 of the most frequently used Brazilian Portuguese vocabulary words - Audio with authentic native Brazilian Portuguese pronunciation *Supplementary mp3 audio files are a separate download - Vibrant photos and images to help memorization - Useful and practical sample sentences and phrases Purchase Learn BrazilianPortuguese - Word Power 101 today to start mastering Brazilian Portuguese vocabulary in the fastest, easiest and most fun way possible!

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    Book by Waring, Chris

    A study of the available evidence will challenge you and much of what you assumed to be true. "Now we are discovering that there is a highly-sophisticated black-ops weaponization of free energy technology and it was responsible for the bizarre, low-temperature pulverization of the Twin Towers. Dr. Judy Wood has pieced together the physical evidence and Andrew Johnson has highlighted who is working to silence or smear whom, as the powers that be rush to impede or at least contain the dissemination of these startling findings." - Conrado Salas Cano, M.S. in Physics ** NOTE: Book is sold at the cheapest possible price on the Amazon Kindle Store - if you hunt round, you can find it for free. **

    This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation.Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original category theorem (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable.Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.

    Dinosaurs had feathers.The appendix isn’t useless but there are nine body-parts that are.Coliseum gladiators were obese and staged their fights.The first robot was built 2,400 years ago.The Bible never says what The Devil looks like.Leprosy doesn’t exist.This book corrects many misconceptions people have about the human body, books, dinosaurs, words, disorders, quotes, religion, and unsolved mysteries (that have actually been solved.)Read on to find out the real reason why movies were made, how angels are actually described in the Bible, discover what happened to the ancient Mayans, and the answer to the ultimate question: which came first - The chicken or the egg?

    Drawing from Scientific American's "Fact or Fiction" and "Strange But True" columns, we've selected fifty-eight of the most surprising, fascinating, useful, and just plain wacky topics confronted by our writers over the years.

    First, visit Kyoto, where you will discover 1,000 years of history from the ancient love story the Tale of Genji to the traditional tea ceremony. Then head to Tokyo to experience Japan’s cutting-edge capital, where the 21st-century kawaii culture collides with landmarks like the Kabuki-za Theater and the ImperialPalace. For a different perspective, venture outside the city to the serene towns of Tohoku, the region largely affected by the 2011 tsunami disaster. Informative, entertaining, and useful, this book is an ideal introduction for any traveler looking for a deeper understanding of Japanese culture, past and present.

    But what sort of person was the young Albert Einstein, before he became universally acclaimed as the archetypal genius? And how did his genius unfold? In this brilliant new Kindle Single, scientist Robyn Arianrhod blends biography with popular science to tell the story of how young Albert developed a theory that – unknown to him at first – contained the seeds of his extraordinary equation E = mc2. Arianrhod, who wrote her PhD on Einstein’s general theory of relativity, makes the ideas behind the equation accessible to the lay reader, and sets young Einstein’s exploration of these ideas against the backdrop of his first loves, his family and marriage, and, above all, his childlike wonder at the nature of the universe. She introduces his heroes and scientific inspirations, and the friends who believed in him when no one else did. In personalising Einstein, she brings to life both the man and his science, in a short, easy-to-read narrative. In showing how he discovered his famous equation, and what it means, she draws a compelling portrait of this prodigious intellect whose unfathomable grasp of the building blocks of physics would change our world forever. About the Author: Dr Robyn Arianrhod is the author of two critically acclaimed works of popular science and scientific history: Einstein’s Heroes: Imagining the World Through the Language of Mathematics, and Seduced by Logic: Émilie du Châtelet, Mary Somerville and the Newtonian Revolution. Both were shortlisted for major book awards and are published in the USA. Einstein’s Heroes was translated into several languages. Robyn was awarded her PhD for research on Einstein’s general theory of relativity and has lectured in applied mathematics (including special relativity) for many years. She is currently an Adjunct Research Fellow in the School of Mathematical Sciences at Monash University in Melbourne, where she is undertaking research on the structure of relativistic space-times. She is also a technical reviewer for the American Mathematical Society. Praise for Robyn Arianrhod's books: Einstein’s Heroes ‘Arianrhod’s achievement is to so masterfully combine history, biography, and mathematics as to absorb and enlighten even the mathematically maladroit’ – Booklist ‘An intriguing blend of science, history, and biography . . . Arianrhod’s well-written, fascinating discussion of intertwined topics is highly recommended’ – Library Journal (starred review) ‘A thrilling story . . . Arianrhod brings out the human side of the scientists’ – Bloombergnews ‘Offers readers an engaging intellectual exercise combining physics, language, mathematics, and biography’ – Science News Seduced by Logic ‘Seduced by Logic offers the lay reader an easy and agreeable introduction to the evolution of some crucial scientific debates . . . One cannot help be captivated by her intellectual honesty and enthusiasm’ – Times Higher Education ‘An elegant and inspiring history of how scientific revolutions make their way’ – Edward Dolnick, The Clockwork Universe ‘Here is a skillfully written tapestry of the science, history and portrayal of two of the most charismatic women of mathematical science. Robyn Arianrhod has produced a captivating masterpiece’ – Joseph Mazur, author of Euclid in the Rainforest and What’s Luck Got to Do with It?

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    This book helps you even the odds. Using easy-to-understand explanations and examples, it demystifies probability -- and even offers savvy tips to boost your chances of gambling success Discover how to* Conquer combinations and permutations* Understand probability models from binomial to exponential* Make good decisions using probability* Play the odds in poker, roulette, and other games

    Chapters on the Origin of the Templars, their popularity in Europe and their rivalry with the Knights of St John, later to be known as the Knights of Malta. Detailed information on the activities of the Templars in the Holy Land, the 1312AD suppression of the Templars in France and other countries, culminating in the execution of Jacques de Molay. Also includes information on the continuation of the Knights Templars in England and Scotland and the formation of the society of Knights Templar in London and the rebuilding of the Temple in 1816.