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.

    

         Ronan O'Gara has been at the heart of Munster and Irish rugby for the past fifteen years. Now, as he comes to the end of a glittering playing career, it is time for him to reflect on those many successes and occasional failures with the straight-talking attitude that has become his trademark. Never one to shy away from the truth, the result is Ronan O'Gara: Unguarded.     Packed full of anecdotes and analysis of the teammates O'Gara has been proud to share the shirt with, and of the coaches he has played under -- often in controversial circumstances -- this is the definitive record of an era when Munster rose to triumph in Europe, and Ireland to win the Grand Slam, before crashing down to earth again. It is simply the must-have rugby book of the year.

    Captain Shore’s enthusiasm for firearms and especially for rifles led him to take every possible opportunity to try out different weapons, ammunition and methods of shooting. His interest was combined with sound common sense, and he would never countenance a rumour about a particular weapon or incident unless he was able to confirm it for himself.As a result everything in this book is based on his personal experience. In World War II Captain Shore took part in the British landings at D-Day, and fought in Normandy and northern Europe. He came across many different weapons in varying condition, some of the worst being those used by the Dutch and Belgian resistance fighters. He was keen to learn from experienced snipers and then to train others, and he became an officer sniping instructor at the British Army of the Rhine Training Centre.He shares a wealth of first-hand knowledge of different rifles, pistols, machine guns, ammunition, telescopes, binoculars and all the equipment a sniper should carry. This is not only an account of sniping in World War II but also a guide to all aspects of sniping based on personal knowledge and experience in training and battle. Illustrated heavily with photos, pictures and other illustrations of snipers, their weapons and their tactics.

    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

    The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In the second edition, besides revisions to the first edition, a number of new exercises have been added.

    It divides into two parts, each of which provides enough material for a one-semester graduate course. The first part deals chiefly with the isotropic and homogeneous average universe; the second part concentrates on the departures from the average universe. Throughout the book the author presents detailed analytic calculations of cosmological phenomena, rather than just report results obtained elsewhere by numerical computation. The book is up to date, and gives detailed accounts of topics such as recombination, microwave background polarization, leptogenesis, gravitational lensing, structure formation, and multifield inflation, that are usually treated superficially if at all in treatises on cosmology. Copious references to current research literature are supplied. Appendices include a brief introduction to general relativity, and a detailed derivation of the Boltzmann equation for photons and neutrinos used in calculations of cosmological evolution. Also provided is an assortment of problems.

    Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set.

    Well, you don't have to resemble a model to achieve a Bowflex body. Now, you can apply the complete science behind what it takes to get that lean, muscular look. The course of action you're holding in your hands contains the best-possible routines and practices that, combined, cause greater and faster results.The Bowflex exercise system is based on the simple bow-and-arrow principle. Its patented Power Rod technology flexes and extends to provide force or resistance, part of your week-by-week workouts, which focus on all major muscle groups. Merge the recommended Bowflex routines with Dr. Ellington Darden's guidelines on eating, hydrating, and resting, and you'll be well on your way to getting the results you've always wanted.In addition to four fat-loss meal plans, you'll find complete programs for out-of-shape athletes, women who want to reduce their hips and thighs, and individuals who wish to focus on their abdominals. Choose the one that's right for you, depending on your age, experience, body type, and personal goals. Throughout these pages you'll be inspired by reports and photographs of real results from real people using a real Bowflex machine.With a little discipline and patience, you'll see your extra fat begin to vanish, revealing your muscles' lean lines. In only six weeks, a man could drop 35 pounds of fat and 5 inches from his waist. A woman could lose 19 pounds of fat and 4 inches from her thighs. And both can build 3 pounds of muscle. Best of all, you will experience strength, firmness, and muscular refinement as never before.Elegant, instructive photographs of Dr. Darden's top 23 Bowflex exercises make this the ideal fitness manual for both men and women-- those who already use the Bowflex system as well as the many new users of this fast-growing home-exercise system. The only authorized book on the subject, The Bowflex Body Plan will help you lose fat, build muscle, and reshape your body-- fast.Soon you will have the results you've always wanted. Soon you will have a Bowflex body.

    and abroad, this reader-friendly yet authoritative volume bridges the gap between circuits and new electromagnetics material. Ulaby begins coverage with transmission lines, leading readers from familiar concepts into more advanced topics and applications. Includes six new sections on Waveguides and Cavity Resonators, replacing the material on geometric optics in Chapter 8. Presents new Technology Briefs on relevant topics, connecting concepts in the book to everyday applications found in real life, such as liquid crystal displays, the laser, GPS, and x-ray tomography. Includes an interactive CD-ROM that allows readers to gain physical intuition about electromagnetics. A useful reference for engineers.

    Now in its fourth edition, the work has been extensively revised, with entirely new artwork, updated examples and new pedagogical features. An interactive CD-ROM with worked examples is included. Alternatively, the material on from the CD-ROM can be down-loaded from a website (see supplements section). Twentieth-century developments such as quantum mechanics are introduced early on, so that students can appreciate their importance and see how they fit into the bigger picture.

    Tesla's rare article, 'The Problem of Increasing Human Energy with Special Reference to the Harnessing of the Sun's Energy' is included. This lengthy article was originally publishing in the June 1900 issue of The Century Illustrated Monthly Magazine and it was the outline for Tesla's master blueprint for the world. Tesla's fantastic vision of the future, including wireless power, anti-gravity, free energy and highly advanced solar power. Also included are some of the papers, patents and material collected on Tesla at the Colorado Spring Tesla Symposiums. Tesla was the inventor of the radio before Marconi, and when he demonstrated wireless remote control to the US Navy in the late 1890s, they replied that it was too advanced! Tesla was an eccentric visionary and probably the greatest inventor who ever lived. His basic inventions power the world of today. What was his vision of tomorrow? Find out in The Tesla Papers.

    Nobel-Prize-winner Claude Cohen-Tannoudji and his colleagues have written this book to eliminate precisely these difficulties. Fourteen chapters provide a clarity of organization, careful attention to pedagogical details, and a wealth of topics and examples which make this work a textbook as well as a timeless reference, allowing to tailor courses to meet students' specific needs. Each chapter starts with a clear exposition of the problem which is then treated, and logically develops the physical and mathematical concept. These chapters emphasize the underlying principles of the material, undiluted by extensive references to applications and practical examples which are put into complementary sections. The book begins with a qualitative introduction to quantum mechanical ideas using simple optical analogies and continues with a systematic and thorough presentation of the mathematical tools and postulates of quantum mechanics as well as a discussion of their physical content. Applications follow, starting with the simplest ones like e.g. the harmonic oscillator, and becoming gradually more complicated (the hydrogen atom, approximation methods, etc.). The complementary sections each expand this basic knowledge, supplying a wide range of applications and related topics as well as detailed expositions of a large number of special problems and more advanced topics, integrated as an essential portion of the text.

    The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject.This text is part of the Walter Rudin Student Series in Advanced Mathematics.

    Provies basic theoretical discussions of the principles of biopharmaceutics and pharmacokinetics, along with illustrative examples and practice problems and solutions to help the student gain skill in practical problem solving.