Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    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 the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    Some mammoths were smaller than children. Owls are the dumbest birds in the world. Very few people with Tourette's syndrome swear. You can't get a six-pack from doing sit-ups. King Arthur's sword wasn't called Excalibur. Milk doesn't make your bones strong. There's no bones in your fingers. The Bible states that humans can't become angels. Humans have more than two nostrils. It's impossible to slide down a bannister. At a wedding, the bride doesn't walk down the aisle. Ties were invented for war, not fashion. Most Disney classics made almost no money. Slavery has only been illegal in the UK since 2010. George Washington wasn't the first American President. Velcro doesn’t exist. Nobody knows why we sleep.

    

    It focuses on the tumultuous lives of two Afghan women and how their lives cross each other, spanning from the 1960s to 2003. The book was released on May 22, 2007, and received favorable prepublication reviews from Kirkus, Publishers Weekly, Library Journal, and Booklist, as well as reaching #2 on Amazon.com's bestseller list before its release. Time magazine's Lev Grossman placed it at number three in the Top 10 Fiction Books of 2007, and praised it as a "dense, rich, pressure-packed guide to enduring the unendurable." Jonathan Yardley said in the Washington Post "Book World": "Just in case you're wondering whether Khaled Hosseini's A Thousand Splendid Suns is as good as The Kite Runner, here's the answer: No. It's better."

     You will learn how to pray for financial miracles and what to do when the answer is not forthcoming. You must simply read this book to gain a better understanding of prayer for finances.

    

    In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

    Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

    

    To understand the universe in the far future, we must first describe its present state and structure on the grand scale, and how its present properties arose. Dr Islam explains these topics in an accessible way in the first part of the book. From this background he speculates about the future evolution of the universe and predicts the major changes that will occur. The author has largely avoided mathematical formalism and therefore the book is well suited to general readers with a modest background knowledge of physics and astronomy.

    Literature Guides Created by Harvard students for students everywhere, SparkNotes is a new breed of study guide: smarter, better, faster. Geared to what today's students need to know, SparkNotes provides: *Chapter-by-chapter analysis*Explanations of key themes, motifs, and symbols*A review quiz and essay topicsLively and accessible, these guides are perfect for late-night studying and writing papers

    His ultimate proposition is that people need to start caring less about everything. Instead, the key to living a good life is in individuals knowing what matters to them and not wasting energy stressing over every little thing. He then proceeds to educate us on how to move forward by going backwards. Manson strongly believes that the endless pursuit of a flawless life, fueled by today's picture-perfect social media standards, is responsible for many of the psychological illnesses that have become rampant. The book culminates in a conclusion that we need to look beyond ourselves, drop the entitled airs, and embrace the ugliness and uncertainties before we can live better lives. This book contains a comprehensive, well detailed summary and key takeaways of the original book by Mark Manson. It summarizes the book in detail, to help people effectively understand, articulate and imbibe the original work by Mark. This book is not meant to replace the original book but to serve as a companion to it Contained is anExecutive Summary of the original book Key Points of each chapter and Brief chapter-by-chapter summaries To get this book, Scroll Up Now and Click on the "Buy now with 1-Click" Button to Download your Copy Right Away! Enjoy this edition instantly on your Kindle device! Now available in paperback and digital editions. Audio book coming soon!! Disclaimer: This is a summary, review of the book "The Subtle Art of Not Giving a F*ck" and not the original book.