For thousands of years it has been at the heart of scientific and philosophical inquiry, from the first star catalogues etched into ancient Mesopotamian clay tablets to the metres-wide telescopes constructed in Chile's Atacama Desert today. On a clear night it is hard not to look up and pick out familiar constellations, and to think of the visionary minds who pioneered our understanding of what lies beyond.In this thrilling new guide to our Universe and how it works, Professor of Astrophysics Jo Dunkley reveals how it only becomes more beautiful and exciting the more we discover about it. With warmth and clarity, Dunkley takes us from the very basics - why the Earth orbits the Sun, and how our Moon works - right up to massive, strange phenomena like superclusters, quasars, and the geometry of spacetime. As she does so, Dunkley unfurls the history of humankind's heroic journey to understand the history and structure of the cosmos, revealing the extraordinary, little-known stories of astronomy pioneers including Williamina Fleming, Vera Rubin and Jocelyn Bell Burnell.Illuminating and uplifting, this is your essential guide to the biggest subject of all.

    The National Audubon Society Field Guide to the Night Sky provides a concise guided tour of the heavens, from planets in our solar system to the constellations in both the Northern and Southern hemispheres, stars, galaxies, astronomical bodies, phenomena, comets, and more. Featuring a durable vinyl binding, over 700 full-color photographs, sky charts, and constellation charts, as well as detailed descriptive text, this comprehensive, easy-to-use field guide is the perfect companion volume for any stargazer.

    An airliner capable of flying at more than twice the speed of sound, the Concorde had completed 25 years of successful flights, whisking wealthy passengers--from diplomats to rock stars to corporate titans--between continents on brief and glamorous flights. Yet on this fateful day, the chartered Concorde jet, en route to America, crashed and killed all 109 passengers and crew onboard and four people on the ground. Urgent questions immediately arose as investigators scrambled to discover what had gone wrong. What caused the fire? Could it have been prevented? And, most urgently, was the Concorde safe to fly? Last Days of the Concorde addresses these issues and many more, offering a fascinating insider's look at the dramatic disaster, the hunt for clues, and the systemic overhauls that followed the crash.

    Air Force Academy and designed as a first course emphasizes the universal variable formulation. Develops the basic two-body and n-body equations of motion; orbit determination; classical orbital elements, coordinate transformations; differential correction; more. Includes specialized applications to lunar and interplanetary flight, example problems, exercises. 1971 edition.

    This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

    Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical―that what is commonly called mathematics is simply later deductions from logical premises.His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.

    His first was that nothing can travel faster than light-the ultimate speed limit. This simple fact leads to the unavoidable conclusion that space and time must be linked together forever as Spacetime. With his second monumental insight, Einstein showed how Spacetime is warped and stretched by the gravity of all objects in the Universe and even punctured by black holes. But such possible twisting of Spacetime allowed a magic not even Einstein could have imagined: time-travel.Theoretical physicist Jim Al-Khalili finally lays science fiction to rest as he opens up Einstein's Universe. Leading us gently and light-heartedly through the dizzying world of our space and time, he even gives us the recipe for a time machine, capable of taking us Back to the Future, to Alice's Wonderland, or on a trip with the Terminator.

    This is a clear, vivid text with charts and maps showing the positions of the constellations the year round.

    In Gravity, he takes an enlightening look at three of the towering figures of science who unlocked many of the mysteries behind the laws of physics: Galileo, the first to take a close look at the process of free and restricted fall; Newton, originator of the concept of gravity as a universal force; and Einstein, who proposed that gravity is no more than the curvature of the four-dimensional space-time continuum.Graced with the author's own drawings, both technical and fanciful, this remarkably reader-friendly book focuses particularly on Newton, who developed the mathematical system known today as the differential and integral calculus. Readers averse to equations can skip the discussion of the elementary principles of calculus and still achieve a highly satisfactory grasp of a fascinating subject.Starting with a chapter on Galileo’s pioneering work, this volume devotes six chapters to Newton's ideas and other subsequent developments and one chapter to Einstein, with a concluding chapter on post-Einsteinian speculations concerning the relationship between gravity and other physical phenomena, such as electromagnetic fields.

    The text covers the basic principles and equations of fluid mechanics in the context of numerous and diverse real-world engineering examples. The text helps students develop an intuitive understanding of fluid mechanics by emphasizing the physics, and by supplying attractive figures, numerous photographs and visual aids to reinforce the physics.

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    To achieve this goal, they focuses on two central questions: "What Are We?" which highlights your place as a planet dweller in an evolving universe, guiding you to better understand where we came from and how we formed; and "How Do We Know?" which provides insights into how the process of science can teach us more about what we are.

    The classic organization of the text has been preserved, with new standalone viscous flow sections at the end of various chapters to conceptualize the coverage of this topic in part 4, and complement discussion of fundamental principles in part 1, inviscid incompressible flow in part 2, and inviscid compressible flow in part 3. Historical topics, carefully developed examples, numerous illustrations, and a wide selection of chapter problems are found throughout the text to motivate and challenge students of aerodynamics. This is the most reliable up-to-date text for students and teachers of aerodynamics. New edition will include a new support tools Aerodynamics website, including animation and simulation tools. New edition will emphasize modern methods without diminishing the study of pure theory and experiment.

    They infinitely warp space and time, allowing nothing to escape: not matter, not even light. They are stellar corpses that have crushed themselves into oblivion, seemingly suspending the traditional laws of physics. The Big bang may have peppered the universe with primordial black holes, as small as protons but as massive as mountains. The universe itself may be disappearing into the final black hole. Black holes (BHs) and their warping effect on spacetime are described, beginning with a discussion on stellar evolution that includes white dwarfs, supernovas and neutron stars. The structure of static, rotating, and electrically charged BHs are considered, as well as the general theory of relativity, quantum mechanics, the Einstein-Rosen bridge, and wormholes in spacetime. Attention is also given to gravitational lenses, various space geometries, quasars, Seyfert galaxies, supermassive black holes, the evaporation and particle emission of BHs, and primordial BHs, including their temperature and lifetime. The author's engrossing, non-technical explanations are enhanced by numerous illustrations.

    Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.