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.

    Some of the new features are: Innovative warm-up exercises that precede the grammar charts and introduce points to be taught Structure-based listening exercises ranging from casual speech to academic content Academic readings that highlight the targeted grammar structures Greatly expanded speaking practice with extensive pair, group and class work Corpus-informed syllabus that reflects the discourse patterns of spoken and written English Audio CDs and listening script in the back of the Student Book The program components include the Student Book (Full Edition and Volume A and Volume B), Workbook (Full Edition and Volume A and Volume B), Chartbook, Teacher's Guide, and Test Bank. Click on "Course-Specific Resources" on the left for more details.For an online workbook, see Understanding and Using English Grammar Interactive.

     Approaching or beginning retirement is a milestone event. For most of our lives retirement feels like it’s on the distant horizon, something to think about tomorrow rather than today. When the day finally does arrive, for many it can feel a little daunting and overwhelming – how should one spend all this new found free time? Olivia Greenwell has the answers, with friendly advice on: How to navigate your way through the questions you may have New opportunities that could present themselves in retirement How to find further information on the exciting opportunities presented As you experience the wonderful peace and contentment of retirement, this book will help you discover what makes you happy, and how to enjoy your life to the fullest. What are you waiting for? Start living the retirement you always dreamt of, by uncovering all the tools you need today!

    Fast Tract Digestion Heartburn is the first book to define and address the real cause of acid reflux. Acid reflux occurs as a result of digestive malabsorption of five difficult-to-digest carbohydrates. It leads to the overgrowth of gas-producing bacteria in the small intestine and the gas pressure drives acid reflux. Dropping a Mentos into a bottle of Coke is the perfect illustration of this phenomenon. Unfortunately, PPI drugs do not address the real cause, but also cause serious side effects including vitamin and mineral malabsorption, bone fractures, pneumonia, low blood magnesium levels, bacterial overgrowth, C diff infection and pneumonia as explained in the book.Fast Tract Digestion Heartburn offers science-based food choices and recipes (Fast Tract Diet) to limit the five difficult-to-digest carbohydrates, so that you can feel relief within a few days Also, it enables you to self-manage all of the symptoms of acid reflux going forward. The Fast Tract Diet is based on a scientific formula called Fermentation Potential (FP). FP is the key measure regardless of the carbohydrate count. Limiting foods with high FP will help control the overgrowth of bacteria in the small intestine and, as a result, acid reflux. The Fast Tract Diet was clinically tested on reflux sufferers in the Boston area. The results were overwhelming and proved the effectiveness of the diet as an alternative to proton pump inhibitor drugs.

    QFT is the only physics theory that makes sense and that dispels or resolves the paradoxes of relativity and quantum mechanics that have confused and mystified so many people.

    Instead, "Baseball Prospectus 2016" contains significant improvements along with the usual key stat categories, player predictions and insider-level commentary that readers expect from Baseball Prospectus annual guide."Baseball Prospectus 2016" once again provides fantasy players and insiders alike with prescient PECOTA projections, which "Sports Illustrated" has called perhaps the game s most accurate projection model. Still, stats are just numbers if you don t see the larger context, and Baseball Prospectus brings together an elite team of analysts to provide the definitive look at all thirty teams their players, their prospects and their managers to explain away flukes, hot streaks, injury-tainted numbers and park effects.Nearly every major-league team has sought the advice of current or former Prospectus analysts, and readers of "Baseball Prospectus" 2016 will understand what all those insiders have been raving about.In a book that sports personality Ken Tremendous calls The tip of the nerd spear, the team at Baseball Prospectus is proud to bring the following improvements to the 2016 Annual:Two full years of projections PECOTA lines for 2016 and 2017Historical Peak MPH added for major-league pitchersDeserved Run Average (DRA) added for major-league pitcherscFIP added for major-league and minor-league pitchersPitcher WARP redesigned, utilizing DRA and cFIP for all pitchersRevised cFIP-driven PECOTA pitching projectionsCatcher-specific defensive stats for all catchers Double-A and aboveOutfield assists and catcher defense integrated in FRAA and WARPBallpark schematic and wall height study for every stadiumHit List, finance, and farm system ranking graphs for each teamEvery organization s key front office personnel and Baseball Prospectus alumni identified"

    But when Paco was struck down by a disease that left him unable to walk, Hickam was faced with a terrible decision, let his beloved cat live in misery or put him to sleep. Before that decision could be made, the space mission Hickam was working on needed to be rescued and there was only one sure way to save it: Paco's magic meow! This is a true story of the space age that is also a delightful tale of the love between an engineer and his cat.

    In this new book Hawking takes us to the cutting edge of theoretical physics, where truth is often stranger than fiction, to explain in laymen's terms the principles that control our universe. Like many in the community of theoretical physicists, Professor Hawking is seeking to uncover the grail of science - the elusive Theory of Everything that lies at the heart of the cosmos. In his accessible and often playful style, he guides us on his search to uncover the secrets of the universe - from supergravity to supersymmetry, from quantum theory to M-theory, from holography to duality. He takes us to the wild frontiers of science, where superstring theory and p-branes may hold the final clue to the puzzle. And he lets us behind the scenes of one of his most exciting intellectual adventures as he seeks "to combine Einstein's General Theory of Relativity and Richard Feynman's idea of multiple histories into one complete unified theory that will describe everything that happens in the universe." With characteristic exuberance, Professor Hawking invites us to be fellow travelers on this extraordinary voyage through space-time. Copious four-color illustrations help clarify this journey into a surreal wonderland where particles, sheets, and strings move in eleven dimensions; where black holes evaporate and disappear, taking their secret with them; and where the original cosmic seed from which our own universe sprang was a tiny nut. The Universe in a Nutshell is essential reading for all of us who want to understand the universe in which we live. Like its companion volume, A Brief History of Time, it conveys the excitement felt within the scientific community as the secrets of the cosmos reveal themselves.

    Long recognized as very applied and practical, Eggen and Kauchak's Educational Psychology: Windows on Classrooms, seventh edition is now even more applied and concise, giving students exactly what they need to know in the course. The author's hallmark cases remain, in both written and videotape format, to introduce real-world applications in a way that no other text can. Along with expanded applications to diversity (urban, suburban, and rural areas), technology, and a new pedagogical system that completely restructures how information is delivered in the book and will help students really understand what they should be getting out of every single chapter. The text now comes with two new DVDs of video material and an access code for the new Teacher Prep Website that will be automatically shrinkwrapped with all new copies of the text. Educational Psychology: Windows on Classrooms once again truly fulfills the promise of its title, giving students a window on the classrooms in which they will someday teach.