This dramatic narrative of breathtaking scope and riveting focus puts the "story" back into history. It is the saga of how the most ambitious of big ideas -- that a world made up of many nations can
The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts – axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Huygens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thorough
The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts – axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Huygens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thorough
George Washington Carver was born into the violent era of slavery, yet he had big ideas. The first was to get an education. That meant leaving his Missouri home at a young age, washing people’s
Space-Time, Relativity, and Cosmology provides a historical introduction to modern relativistic cosmology and traces its historical roots and evolution from antiquity to Einstein. The topics are presented in a non-mathematical manner, with the emphasis on the ideas that underlie each theory rather than their detailed quantitative consequences. A significant part of the book focuses on the Special and General theories of relativity. The tests and experimental evidence supporting the theories are explained together with their predictions and their confirmation. Other topics include a discussion of modern relativistic cosmology, the consequences of Hubble's observations leading to the Big Bang hypothesis, and an overview of the most exciting research topics in relativistic cosmology. This textbook is intended for introductory undergraduate courses on the foundations of modern physics. It is also accessible to advanced high school students, as well as non-science majors who are concerned w
The Universe at Large presents a unique survey of key questions outstanding in contemporary astronomy and cosmology. In this timely volume, eleven of the world's greatest living astronomers and cosmologists present their personal views of what problems must be addressed by future research. Allan Sandage presents a 23-point plan to reach a full understanding of the largescale structure in the Universe; Geoffrey Burbidge looks at the future of the Quasi Steady State alternative to the Big Bang; active galactic nuclei (AGN) are discussed by E. Margaret Burbidge, Donald Osterbrock and Malcolm Longair; Igor Novikov, Donald Lynden-Bell, Martin Rees and Rashid Sunyaev look at the physics of black holes; and Bernard Pagel and Hubert Reeves concentrate on what we don't yet understand about elements in the cosmos. This book provides a unique review of our current understanding in astronomy and cosmology, and a host of ideas for profitable future research - for graduate students and researchers.
With over 225,000 copies in print, DK's Big Ideas series has struck a chord with readers fascinated-but also intimidated-by complex subjects like philosophy, psychology, politics, and religion. The ne
To celebrate NASA’s Hubble Space Telescope and its 25 years of accomplishments, letThe Hubble Cosmos fill your mind with big ideas, brilliant imagery, and a new understanding of the universe in which
Quinny has a lot to say. Hopper gets to the point.Quinny has one speed: very, very, extra-very fast. Hopper proceeds with caution.Quinny has big ideas. Hopper has smart solutions.Quinny and Hopper cou
This is a story about a mouse with BIG ideas. Mouse believes he is a tiger, and he convinces Fox, Raccoon, Snake, and Bird he's one, too! After all, Mouse can climb a tree like a tiger and hunt for hi
How to teach big understandings and the ideas that matter mostEveryone has an opinion about education, and teachers face pressures from Common Core content standards, high-stakes testing, and countles
Can you be brave if you're afraid? Why do we "know better" and do things anyway? What makes a family? Philosophers have wrestled with such questions for centuries. They are also the stuff of playgroun
Learn new approaches to teaching history in middle school so students are more engaged in the big ideas and eager to examine the world around them. Co-published by Routledge and MiddleWeb, this practi
Learn new approaches to teaching history in middle school so students are more engaged in the big ideas and eager to examine the world around them. Co-published by Routledge and MiddleWeb, this practi
People with ideas are dreamers. People who get things done are doers. One doer is worth eight dreamers. There are three kinds of people who make up an innovator. There are inventors (people who have n
Hogg Hogg and Hog have everyone in the Big City OINKING! These three city pigs are the trendsetters of the city--but what will happen when they run out of fashionable ideas?
Philosophical Inquiry shows how to use the tools of philosophy for educational purposes. It is a practical guide to the philosophical arts of questioning, conceptual exploration and reasoning, with wi
