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.

    The work of Yagyῡ Munenori from 1632 concerns martial arts and military science. It is translated by Thomas Cleary and can be found tucked behind Miyamoto Musashi‘s “the Book of five rings” from 1643. Both these texts analyse conflict between two men armed with swords and scale this up bigger battles. These important treaties on swordsmanship, and have been taken as giving lessons on life in general.

    Sympathetic yet balanced, Michael White's Isaac Newton offers a revelatory picture of Newton as a genius who stood at the point in history where magic ended and science began.

    It ranges from the study of the universe itself to the smallest particles of matter contained within it - and everything in between. It explores everything from the big bang to theories about the end of the universe. If you want to better understand our physical world, as most of us do, gaining a basic understanding of science itself is profoundly important - yet many are intimidated by the breathtaking scope of such an endeavor. Now an award-winning science teacher has taken out the intimidation, harnessing that breathtaking scope into a series of 60 exciting, comprehensive, and accessible lectures that let you explore and understand the wealth of ideas, discoveries, and principles in all of the physical and biological sciences. You learn that understanding science comes from understanding not only its component disciplines - each of which has its own theories, pioneers, problems, and fundamental questions - but of knowing how these disciplines work with one another to create an entire mosaic of human knowledge. The lectures have been crafted to make those relationships crystal-clear, with an integrated approach that takes you through all of the major disciplines that fall under the umbrella of "science," including physics, chemistry, Earth science, geophysics, and biology. Each lecture covers one of the 60 fundamental principles of the scientific world - offering you new knowledge and insight into topics such as the scientific method, gravitation, atoms, the big bang, plate tectonics, volcanoes, proteins, ecosystems, and electricity.

    Quantum physics is an antidote to the moral sterility and mechanistic approach of scientific materialism and is the best and clearest approach to understanding our universe. In short, quantum physics is indeed the theory of everything.Here in 17 chapters, Dr. Goswami and his friends and colleagues discuss, among other things, how quantum physics affects our understanding of:ZenThoughts, feelings, and intuitionsDreamsKarma, death, and reincarnationGod's will, evolution, and purposeThe meaning of dreamsThe spiritualization of economics and business, politics and education, and society itselfThis fascinating new book will appeal to a wide array of readers, ranging from those interested in the new physics to those captivated by the spiritual implications of the latest scientific breakthroughs.

    "Using Econometrics: A Practical Guide "provides readers with a practical introduction that combines single-equation linear regression analysis with real-world examples and exercises. This text also avoids complex matrix algebra and calculus, making it an ideal text for beginners. New problem sets and added support make "Using Econometrics" modern and easier to use.

    In this highly entertaining and illuminating romp from inside the head to inside the jeans, the authors uncover the naked truth behind each of the 24 gender signs. With nary a trace of new age mumbo jumbo, they explore each sign’s personal psychology, physical attributes, and sexual behavior in titillating detail—straight, gay, and beyond.From fantasies to favorite positions, erogenous zones to emotional needs, Sextrology will help you better understand your and others’ sexual character, improve your understanding of relationships, and find out what to expect from a new person in your life. No stone is left unturned in this intelligent and enlightening investigation of sex and the sexes.

     This book will provide you an introduction to the history of Buddhism and its teachings and practices. Along with Buddhist philosophies there are many practices to incorporate into your daily life such as meditation and mindfulness to help calm your mind, reduce stress and anxiety. ☆☆“When we meet real tragedy in life, we can react in two ways - either by losing hope and falling into self-destructive habits, or by using the challenge to find our inner strength. Thanks to the teachings of Buddha, I have been able to take this second way.” – The Dalai Lama☆☆ This is a guide to Buddhism for beginners but includes quotes and resources to guide you towards more advanced Buddhist teachings and writing if you wish to develop your own study of Buddhism further. Here Is A Preview Of What’s Included… An introduction to Buddhist Philosophies and Teachings The history of Buddhism and the Life of the Buddha Key Buddhism concepts such as Karma, suffering, Samsara and Nirvana The Four Noble Truths of Buddhism The Eightfold Path, The Five Precepts and The Middle Way Practicing Buddhism in every day life How to practice mindfulness to reduce stress and increase happiness Meditation practices apps, and resources Meditation to obtain calm and clarity over your thoughts Much, Much More! ☆☆ “Worrying doesn’t take away tomorrow’s trouble’s, it takes away today’s peace” – The Buddha ☆☆ KINDLE EDITION: NOTE: You do not need a kindle reader to read this, you can read this on smartphone or in a web browser ☆☆Download This Great Book Today! Available To Read On Your Computer, MAC, Smartphone, Kindle Reader, iPad, or Tablet!☆☆ ☆☆To purchase this book scroll to the top and select Buy now with 1 Click ☆☆ PAPERBACK EDITION: Kindle edition included for free with purchase of paperback To purchase the paper, click paperback at the top of this description to purchase.

    Julia Diggins masterfully recreates the atmosphere of ancient times, when men, using three simple tools, the string, the straightedge, and the shadow, discovered the basic principles and constructions of elementary geometry. Her book reveals how these discoveries related to the early civilizations of Mesopotamia, Egypt, and Greece.The fabric of the story is woven out of archeological and historical records and legends about the major men of mathematics. By reconstructing the events as they might have happened, Diggins enables the attentive reader to easily follow the pattern of reasoning that leads to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, and the construction of the five regular solids.Out of print for 34 years, Julia Diggins' classic book is back and is a must-read for middle school students or for parents helping their children through their first geometry course. You will be fascinated with the graphic illustrations and written depiction of how the knowledge and wisdom of so many cultures helped shape our civilization today. This book is popular with teachers and parents who use Jamie York's Making Math Meaningful curriculum books.

    Now, in this fast-paced, colorful biography, Gale E. Christianson paints anengaging portrait of Newton and the times in which he lived. We follow Newton from his childhood in rural England to his student days at Cambridge, where he devoured the works of Copernicus, Kepler, and Galileo, and taught himself mathematics. There ensued two miraculous years at home in Woolsthorpe Manor, where he fled when plague threatened Cambridge, aremarkably fertile period when Newton formulated his theory of gravity, a new theory of light, and calculus--all by his twenty-fourth birthday. Christianson describes Newton's creation of the first working model of the reflecting telescope, which brought him to the attention of the Royal Society, and he illuminates the eighteen months of intense labor that resulted in his Principia, arguably the most important scientific work ever published. The book sheds light on Newton's later life as master of the mint in London, where he managed to convict and hang the arch criminal William Chaloner (aremarkable turn for a once reclusive scholar), and his presidency of the Royal Society, which he turned from a dilettante's club into an eminent scientific organization. Christianson also explores Newton's less savory side, including his long, bitter feud with Robert Hooke and the underhanded waythat Newton established his priority in the invention of calculus and tarnished Liebniz's reputation. Newton was an authentic genius with all too human faults. This book captures both sides of this truly extraordinary man.

    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.

    This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".

    'Astrology must be right,' wrote the American astrologer Evangeline Adams, claimed descendant of John Quincy Adams, in a challenge to skeptics in 1929. 'There can be no appeal from the Infinite.' The Fated Sky explores both the history of astrology & the controversial subject of its historical influence. It's the 1st serious book to fully engage astrology in this way. Astrology is the oldest occult sciences, also the origin of science itself. Astronomy, mathematics & other disciplines arose in part to make possible the calculations necessary in casting horoscopes. For 5000 years, the influence of the stars has been viewed as shaping the course of affairs. According to recent polls, at least 30% of Americans believe in it, tho modern astrology is utterly different from the doctrine of the stars that won the respect & allegiance of the greatest thinkers, scientists & writers--Greek, Roman, Egyptian, Arab & Persian--of earlier days. Statesmen, popes & kings once embraced it. Th Aquinas found it compatible with Xian faith. There are some 200 allusions to it in Shakespeare's plays, all their predictions fulfilled. The great astronomers of the scientific revolution--Copernicus, Tycho Brahe, Kepler--were adherents. Newton's appetite for mathematics was whetted by an astrological text. Prominent figures such as Churchill, deGaulle & Reagan have consulted astrologers, heeding their advice. Universities as diverse as Oxford & Spain's Univ. of Zaragoza offer courses in the subject, fulfilling Jung's prediction that astrology would again become the subject of serious discourse. Whether astrology actually has the powers ascribed to it is open to debate. But there's no doubt that it maintains a hold on the human mind. The Fated Sky gives a comprehensive account of this subject & its enduring influence on history & the history of ideas.

    The specialities of each individual number, from zero to nine, and the little mathematical tricks as shown by Shakuntala Devi, all combine to make the reader learn to befriend numbers and excel at maths.

    You can’t buy it! The price is your own application of the seven existing laws.