This is an introductory book on the general theory of relativity based partly on lectures given to students of M.Sc. Physics at my university. The book is divided into three parts. The ?rst part is a preliminary course on general relativity with minimum preparation. The second part builds the ma- ematical background and the third part deals with topics where mathematics developed in the second part is needed. The ?rst chapter gives a general background and introduction. This is f- lowed by an introduction to curvature through Gauss’ Theorema Egregium. This theorem expresses the curvature of a two-dimensional surface in terms of intrinsic quantitiesrelatedtothein?nitesimaldistancefunctiononthesurface.Thestudent isintroducedtothemetrictensor,Christo?elsymbolsandRiemanncurvaturet- sor by elementary methods in the familiar and visualizable case of two dimensions. This early introduction to geometric quantities equips a student to learn simpler topics in general relativity like the Newtonian limit, red shift, the Schwarzschild solution, precession of the perihelion and bending of light in a gravitational ?eld. Part II (chapters 5 to 10) is an introduction to Riemannian geometry as - quired by general relativity. This is done from the beginning, starting with vectors and tensors. I believe that students of physics grasp physical concepts better if they are not shaky about the mathematics involved.
Why is the universe so symmetrical? / Dennis Sciama -- Null congruences and Plebanski-Schild spaces / Ivor Robinson -- Linearization stability / Dieter Brill -- Nonlinear model field theories based on harmonic mappings / Charles W. Misner -- Gravitational fields in general relativity / Roy F. Kerr -- On the potential barriers surrounding the Schwarzschild black hole / S. Chandrasekhar -- The initial value problem and beyond / James W. York, Jr. and Tsvi Piran.
Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity for advanced undergraduates and graduate students. It introduces modern techniques and an accessible and lively writing style to what can often be a formal and intimidating subject. Readers are led from physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology. Subtle points are illuminated throughout the text by careful and entertaining exposition. A straightforward and lucid approach, balancing mathematical rigor and physical insight, are hallmarks of this important text. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.
The World of Discovery Collection is a specially curated selection of children's books that focus on discovering Asia and discovering STEM (Science, Technology, Engineering and Maths). Under the guidance of Dr Ruth Y L Wong, these books aim to promote reading for pleasure, while exciting kids through discovery. With 51 books in this inaugural batch, and with more to come, the books are divided into three levels depending on the child's reading ability: A (Achieving), B (Blooming) and C (Confident). Level B Set 2 features nine titles, exploring themes of science, imagination, nature and global stories. Intended outcomes of Level B include teaching children to be able to: - follow a text when it is being read aloud - turn the page at the right time - sound out at least 70% of the words in the book - read simple sentences - enjoy being read to Each book includes a story-based activity at the end of the books to help parents and educators get children to engage with the story. Includes these 9 titles: Brave Beachley (Sisu Girls series) Brave Beachley tells the tale of Australian Layne Beachley and how she chased her dream to become a world champion surfer. Because tough times are sure to happen. They are part and parcel of life's plan. But don't let those tough times stop you, pick yourself up and say: 'I CAN!' Fearless Frosty (Sisu Girls series) Fearless Frosty tells the story of New Zealander Anna Frost and how she chased her dream to become a professional mountain runner. Whatever it is, go after it. Find the thing that makes you fly! Because one thing is for certain: You'll never know unless you try. Mighty Mira (Sisu Girls series) Mighty Mira tells the tale of Nepali Mira Rai and how she chased her dream to become a professional mountain runner. The moral of my story; Live the moment, live the now. Don't worry if you don't know the path, Have courage, and you'll discover how. Panjang: The Tall Boy Who Became Prime Minister Panjang is the tallest kid around. He hates standing out, but little does he know, he's on his way to greater heights ... This book tells the childhood story of Singapore's second prime minister, Goh Chok Tong, and how he conquered his self-consciousness to become a leader. This tall tale inspires children to embrace the things that make them different. Tun Dr Siti Hasmah Mohd Ali: The Accidental Doctor Meet Siti Hasmah, a little girl, who wanted to be a journalist, in a period when not every girl was sent to school. Find out how she coped when World War II struck. Walk in her footsteps as she graduated from university and went on to save the lives of many Malaysian women and children. See what she finally ended up being. Meme the Monkey: Wins in Life We all like to win and do well. But what does it really mean to win in life? Meme the Monkey wants to do well and tries her very best to. But she soon learns that doing well in life is not just about scoring high marks in her exams - there are other more important things. I Really, Really Don't Like Water! (Wow Wild Asia series) Boleh the otter pup really, really does not like water. Mama starts him on swimming lessons. What should he do? Can he ever get used to the water? Read Boleh's splashy tale of learning new skills and the good surprise that comes with it. I Really, Really Don't Like Heights! (Wow Wild Asia series) Sayang the Leopard cub really, really does not like heights. When Sayang playfully chases after the bird, he ends too high up in a tree. Can Bear, Monkey and Squirrel help Sayang find his footing and courage to climb down the tree? I Really, Really Don't Like Bees! (Wow Wild Asia series) Tahan the bear cub really, really does not like bees. Tahan is nervous when he joins Papa for his first trip to a beehive. Will he succeed in collecting any honey? Can he ever put up with buzzing, swarming bees?
This text provides an account of various experiments, that demonstrate a simplified reality where space and time are relegated to their proper source – the observer. The principles of these experiments and theories originate from the ideas of Einstein, and this text aims to present this 'new' outlook without the need for extensive knowledge of mathematics, physics, or philosophy. This text will be of considerable use to those with a keen interest in physics, and would make for a great addition to any bookshelf. The chapters of this book include: 'The Fitzgerald Contraction', 'Relativity', 'The World of Four Dimensions', 'Fields of Force', 'Kinds of Space', 'The New Law of Gravitation and the Old Law', 'Weighing Light', 'Other Tests of The Theory', 'Momentum and Energy', etcetera. We are publishing this antiquarian book now in an affordable, modern edition - complete with a new biography of the author.
Spacetime physics -- Physics in flat spacetime -- The mathematics of curved spacetime -- Einstein's geometric theory of gravity -- Relativistic stars -- The universe -- Gravitational collapse and black holes -- Gravitational waves -- Experimental tests of general relativity -- Frontiers
Ideas about space and time are at the root of one's understanding of nature, both at the intuitive level of everyday experience and in the framework of sophisticated physical theories. These ideas have led to the development of geometry and its applications to physics. The contemporary physical theory of space and time, including its extention to the phenomena of gravitation, is Einstein's theory of relativity. Spacetime and Gravitation is a short introduction to this theory. It is addressed to a fairly wide readership: parts of it can be read by university students of mathematics, physics and engineering. A great deal of emphasis is given to the geometrical aspects of relativity theory and its comparison with the Newtonian view of the world. There are short chapters on the origins of Einstein's theory, gravitational waves, cosmology, spinors and the Einstein-Cartan theory.
Relativity and Geometry aims to elucidate the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phases of relativity. The book contains seven chapters and a mathematical appendix. The first two chapters review a historical background of relativity. Chapter 3 centers on Einstein's first Relativity paper of 1905. Subsequent chapter presents the Minkowskian formulation of special relativity. Chapters 5 and 6 deal with Einstein's search for general relativity from 1907 to 1915, as well as some aspects and subsequent developments of the theory. The last chapter explores the concept of simultaneity, geometric conventionalism, and a few other questions concerning space time structure, causality, and time.
