This program will ensure you increase your value in the most fundamental way that will enable you to enhance those employability skills, take control of your career, and find true happiness at work while shaping your own destiny.

    Many people simply do not understand what it is, how to avoid it, and what can be done to help the holy souls there. For most Catholics, it's been years since their catechism training and they simply forgot what was taught. Purgatory 101 will bring back the knowledge that you forgot. It will show what Purgatory is and how you can help yourself and the holy souls. Armed with knowledge, you can make a positive difference for the suffering saints in Purgatory.

    Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping--and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements.Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin--who founded the famous Moscow School of Mathematics--were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite--and led to the founding of descriptive set theory.The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and -creativity.

    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.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    It would become the world's most baffling mathematical mystery. Simple, elegant, and utterly impossible to prove, Fermat's Last Theorem captured the imaginations of amateur and professional mathematicians for over three centuries. For some it became a wonderful passion. For others it was an obsession that led to deceit, intrigue, or insanity. In a volume filled with the clues, red herrings, and suspense of a mystery novel, Dr. Amir Aczel reveals the previously untold story of the people, the history, and the cultures that lie behind this scientific triumph. From formulas devised for the farmers of ancient Babylonia to the dramatic proof of Fermat's theorem in 1993, this extraordinary work takes us along on an exhilarating intellectual treasure hunt. Revealing the hidden mathematical order of the natural world in everything from stars to sunflowers, "Fermat's Last Theorem" brilliantly combines philosophy and hard science with investigative journalism. The result: a real-life detective story of the intellect, at once intriguing, thought-provoking, and impossible to put down.

    

     This graphic novel recounts the spiritual odyssey of philosopher Bertrand Russell. In his agonized search for absolute truth, he crosses paths with thinkers like Gottlob Frege, David Hilbert & Kurt Gödel, & finds a passionate student in Ludwig Wittgenstein. But his most ambitious goal—to establish unshakable logical foundations of mathematics—continues to loom before him. Thru love & hate, peace & war, he persists in the mission threatening to claim both his career & happiness, finally driving him to the brink of insanity. This story is at the same time a historical novel & an accessible explication of some of the biggest ideas of mathematics & modern philosophy. With rich characterizations & atmospheric artwork, it spins the pursuit of such ideas into a satisfying tale. Probing, layered, the book throws light on Russell’s inner struggles while setting them in the context of the timeless questions he tried to answer. At its heart, Logicomix is a story about the conflict between ideal rationality & the flawed fabric of reality.

    You can use these ideas and methods as-is, or better yet, tweak them and create your own enticing educational meals. The message the authors share is that, with imagination and preparation, every teacher can be a Classroom Chef.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    He constructed a fleet of customized unicycles and a flamethrowing trumpet, outfoxed Vegas casinos, and built juggling robots. He also wrote the seminal text of the digital revolution, which has been called “the Magna Carta of the Information Age.” His discoveries would lead contemporaries to compare him to Albert Einstein and Isaac Newton. His work anticipated by decades the world we’d be living in today—and gave mathematicians and engineers the tools to bring that world to pass.In this elegantly written, exhaustively researched biography, Jimmy Soni and Rob Goodman reveal Claude Shannon’s full story for the first time. It’s the story of a small-town Michigan boy whose career stretched from the era of room-sized computers powered by gears and string to the age of Apple. It’s the story of the origins of our digital world in the tunnels of MIT and the “idea factory” of Bell Labs, in the “scientists’ war” with Nazi Germany, and in the work of Shannon’s collaborators and rivals, thinkers like Alan Turing, John von Neumann, Vannevar Bush, and Norbert Wiener.And it’s the story of Shannon’s life as an often reclusive, always playful genius. With access to Shannon’s family and friends, A Mind at Play brings this singular innovator and creative genius to life.

    A number of studies show a link between vitamin K2, bone health and heart health. Is vitamin K2 a nutrient you need more of in your diet? As physicians, we feel everyone needs to be aware of the role this vitamin plays in health and wellness. This concise ebook explores the link between vitamin K2 and how it may protect against some of the most common diseases you’re at risk for as you age. Here are some of the questions this book will answer: The Role of Vitamin K in Your Body How Vitamin K2 Differs from Vitamin K1 and Why Most People Don’t Get Enough of It The Various Isoforms of Vitamin K2 and Which Ones Are Most Important for Health The Role Vitamin K2 Plays in Bone Health and Osteoporosis Prevention Vitamin K2 and Heart Disease: Can It Lower Your Risk or Even Reverse Atherosclerosis? Do You Need a Vitamin K2 Supplement? Vitamin K2 and Cancer: Is There a Link? The Role Vitamin K2 Plays in Dental Health Are You at Risk for Vitamin K Deficiency? Can You Get Enough Vitamin K2 Through Diet Alone? The Best Dietary Source of Vitamin K2 Why You Must Have Vitamin K2 if You Take a Vitamin D Supplement Are There Risks to Taking a Vitamin K2 Supplement? One Type of Vitamin K2 Supplement Source You Should Avoid You should have a better understanding of the health benefits of vitamin K2 once you finish.

     Christians are the most persecuted Faith group globally. Worldwide Terrorism has reached an ALL-TIME high. The Nation of Israel has been reborn. The nations of the world are coming against God’s Holy City, Jerusalem. Israel’s latter-day enemies are rising up, and allying together, just as the Holy Bible prophesied they would. We have witnessed rare and historic Blood Moons, and Solar Eclipses – and have even heard Trumpet Sounds emanating from the heavens. We have experienced some of the most powerful earthquakes in recorded history. Hurricanes are breaking records for size, intensity, and duration. Over 60,000,000 babies have been murdered through abortion. LGBT “Pride” is fueling a sexual revolution, and a global rebellion against God. Christian leaders, and Churches, are turning their backs on the Word of God. “Generation Z” is the LEAST Christian generation in history. This book delves deep into each of these Signs, which are exclusive to our Generation, and so much more. Believers, and non-believers alike, will lift up their eyes to the sky after reading the extremely captivating information, life-changing messages, and amazing revelations contained in this book. Prepare to have your Faith in Christ's return strengthened more than ever before!

    This book highlights her foster and forever dogs' antics and challenges.A portion of proceeds is donated back to Cocker Spaniel rescue.Excerpt: Nine-year-old Rags was found roaming the streets as a stray. When she landed at the shelter, she needed six baths to free her from the oil in which she was covered. Her little rear had no fur, and the skin in that area was as tough as leather. Her issues were severe, including water-filled blisters on her feet and legs.Poor Rags was the saddest-looking Cocker I had ever seen. Her eyes were downcast and droopy, and the fur around them was gone. She certainly was not very attractive.For many long months we treated Rags with antibiotics, and we bathed her three times a week with medicated shampoo. She was a good patient, never complaining even though she had to soak in the bathtub for 10 minutes each time.Finally, our efforts paid off, and a new dog emerged. At adoption events, people commented on Rags' beauty and her soulful face. This was progress! Now, our task was to convince some special person to look beyond her age...Does Rags find a home? Buy the book to find out!

    It hasn't always been pretty, and there's no way to sugar-coat ugly.So, if you're easily offended or faint of heart, my book may not be for you.If, on the other hand, you think your life is over cause you've made a mess of it, turn the page.Have I got a story for you?