This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.Understand even the basics of Einstein's amazing theory and the world will never seem the same again. ContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsJanuary 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

    Judy Mikovits and Kent Heckenlively, this book reviews the evidence for and against widespread public masking as provided by the Centers for Disease Control and the Mayo Clinic, as well as top scientific publications such as the New England Journal of Medicine and The Lancet. This debate needs to take place without fear and paranoia. Important questions raised in this book are the affect of masks on oxygen and carbon dioxide levels, how SARS-CoV-2 spreads, the effectiveness of various types of masks, those who are most vulnerable to COVID-19, and whether our children should go back to school in the fall, and if so, what measures they should take.The authors' previous book, PLAGUE OF CORRUPTION, was the runaway science bestseller of 2020, and the authors bring that same passion and attention to detail to the mask question. As politicians and bureaucrats of all stripes are weighing in on this question, with some placing their cities and states under mandatory masking provisions, we need to understand the science behind their decisions. Are such measures a reasonable response to current circumstances, or is it a dramatic overreach, which in many cases might make the situation even worse? America desperately needs this public conversation to take place with the best science we have available. As Americans have always done during difficult times, we must summon the courage to have these challenging conversations.

    But it's coming, and when it does, it will change our lives as much as any invention ever has. Imagine being able to program matter itself-to change it, with the click of a cursor, from hard to soft, from paper to stone, from fluorescent to super-reflective to invisible. Supported by organizations ranging from Levi Strauss and IBM to the Defense Department, solid-state physicists in renowned laboratories are working to make it a reality. In this dazzling investigation, Wil McCarthy visits the laboratories and talks with the researchers who are developing this extraordinary technology, describes how they are learning to control it, and tells us where all this will lead. The possibilities are truly astonishing.

    They made the world theirs long before the rise of dinosaurs. Travelling forward into the Permian and then Triassic periods, we learn how our ancient mammal ancestors evolved from large hairy beasts with accelerating metabolisms to exploit miniaturisation, which was key to unlocking the traits that define mammals as we now know them. Elsa criss-crosses the globe to explore the sites where discoveries are being made and meet the people who make them. In Scotland, she traverses the desert dunes of prehistoric Moray, where quarry workers unearthed the footprints of Permian creatures from before the time of dinosaurs. In South Africa, she introduces us to animals, once called 'mammal-like reptiles', that gave scientists the first hints that our furry kin evolved from a lineage of egg-laying burrowers. In China, new, complete fossilised skeletons reveal mammals that were gliders, shovel-pawed Jurassic moles, and flat-tailed swimmers.This book radically reframes the narrative of our mammalian ancestors and provides a counterpoint to the stereotypes of mighty dinosaur overlords and cowering little mammals. It turns out the earliest mammals weren't just precursors, they were pioneers.

    She is perhaps the best known and most studied fossil hominid of the twentieth century, the benchmark by which other discoveries of human ancestors are judged.”–From Lucy’s LegacyIn his New York Times bestseller, Lucy: The Beginnings of Humankind, renowned paleoanthropologist Donald Johanson told the incredible story of his discovery of a partial female skeleton that revolutionized the study of human origins. Lucy literally changed our understanding of our world and who we come from. Since that dramatic find in 1974, there has been heated debate and–most important–more groundbreaking discoveries that have further transformed our understanding of when and how humans evolved. In Lucy’s Legacy, Johanson takes readers on a fascinating tour of the last three decades of study–the most exciting period of paleoanthropologic investigation thus far. In that time, Johanson and his colleagues have uncovered a total of 363 specimens of Australopithecus afarensis (Lucy’s species, a transitional creature between apes and humans), spanning 400,000 years. As a result, we now have a unique fossil record of one branch of our family tree–that family being humanity–a tree that is believed to date back a staggering 7 million years.Focusing on dramatic new fossil finds and breakthrough advances in DNA research, Johanson provides the latest answers that post-Lucy paleoanthropologists are finding to questions such as: How did Homo sapiens evolve? When and where did our species originate? What separates hominids from the apes? What was the nature of Neandertal and modern human encounters? What mysteries about human evolution remain to be solved?Donald Johanson is a passionate guide on an extraordinary journey from the ancient landscape of Hadar, Ethiopia–where Lucy was unearthed and where many other exciting fossil discoveries have since been made–to a seaside cave in South Africa that once sheltered early members of our own species, and many other significant sites. Thirty-five years after Lucy, Johanson continues to enthusiastically probe the origins of our species and what it means to be human.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

      In the constellation of Eridanus, there lurks a cosmic mystery: It’s as if something has taken a huge bite out of the universe. But what is the culprit? The hole in the universe is just one of many puzzles keeping cosmologists busy. Supermassive black holes, bubbles of nothingness gobbling up space, monster universes swallowing others—these and many other bizarre ideas are being pursued by scientists. Due to breathtaking progress in astronomy, the history of our universe is now better understood than the history of our own planet. But these advances have uncovered some startling riddles. In this electrifying new book, renowned cosmologist and author Paul Davies lucidly explains what we know about the cosmos and its enigmas, exploring the tantalizing—and sometimes terrifying—possibilities that lie before us. As Davies guides us through the audacious research offering mind-bending solutions to these and other mysteries, he leads us up to the greatest outstanding conundrum of all: Why does the universe even exist in the first place? And how did a system of mindless, purposeless particles manage to bring forth conscious, thinking beings? Filled with wit and wonder, What’s Eating the Universe? is a dazzling tour of cosmic questions, sure to entertain, enchant, and inspire us all.

    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

    A growing number of pioneering researchers embrace a new view of healing—one expounded by Dr. Richard Gerber in his groundbreaking bestseller, Vibrational Medicine.Now he shows how to put this new way of thinking into practical use, describing the role of consciousness and "thought forms," as well as the benefits of homeopathy, acupuncture, color and light healing, magneto biology, and other therapies. A traditionally trained physician, Dr. Gerber combines scientific evidence with traditional methods from the East and West to unlock our potential for healing ourselves.

    The implications of their discoveries form tomorrow's headlines, yet Angier writes about the scientists themselves and not merely theri successes. 4-page photo insert.

    Using illustrations and examples from science fiction pulp magazines and comic books, The Amazing Story of Quantum Mechanics explains the fundamental principles of quantum mechanics that underlie the world we live in.Watch a Video

    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

    This booklet contains the lecture by SGI President Ikeda on Nichiren Daishonin's letter "On Attaining Buddhahood in This Lifetime." This lecture was serialized in Living BuddhismSept–Oct 2006 to Mar–Apr 2007.

    The latest edition offers greatly expanded coverage of directed mutagenesis and protein engineering, therapeutic agents, and genetic engineering of plants. Updated chapters reflect recent developments in biotechnology and the societal issues related to it, such as cloning, gene therapy, and patenting and releasing genetically engineered organisms. Over 480 figures, including 200 that are new in this edition, illustrate all key concepts. "Milestones" summarize important research papers in the history of biotechnology and their effects on the field. As in previous editions, the authors clearly explain all concepts and techniques to provide maximum understanding of the subject, avoiding confusing scientific jargon and excessive detail wherever possible. Each chapter concludes with a summary, references, and review questions. Ideally suited as a text for third- and fourth-year undergraduates as well as graduate students, this book is also an excellent reference for health professionals, scientists, engineers, or attorneys interested in biotechnology.

    Quantum) is, as Deepak Chopra states, "one of the most important pioneers in the field of consciousness." Featured in the wordofmouth indie hit, What the Bleep Do We Know?!, Dr. Wolf is a physicist who knows how to put complex sciencebased ideas into terms that even sciencephobes can understand. With clarity and a sense of humor, Dr. Quantum presents Big Ideas in the form of both short quotes and longer excerpts and covers topics ranging from the construction of our everyday reality to our relationship to one another. Dr. Quantum's Little Book of Big Ideas is a perfect gift for anyone interested in the realm where science meets spirit.