The authors outline how their positions have further diverged on a number of key issues, including the spatial geometry of the universe, inflationary versus cyclic theories of the cosmos, and the black-hole information-loss paradox. Though much progress has been made, Hawking and Penrose stress that physicists still have further to go in their quest for a quantum theory of gravity.
For courses in calculus-based physics.
The benchmark for clarity and rigor, influenced by the latest in education research.
Since its first edition, University Physics has been revered for its emphasis on fundamental principles and how to apply them. This text is known for its clear and thorough narrative, as well as its uniquely broad, deep, and thoughtful sets of worked examples that provide students with key tools for developing both conceptual understanding and problem-solving skills.
The Fourteenth Edition improves the defining features of the text while adding new features influenced by education research to teach the skills needed by today’s students. A focus on visual learning, new problem types, and pedagogy informed by MasteringPhysics metadata headline the improvements designed to create the best learning resource for physics students.
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MasteringPhysics® from Pearson is the leading online homework, tutorial, and assessment system, designed to improve results by engaging students before, during, and after class with powerful content. Instructors ensure students arrive ready to learn by assigning educationally effective content before class and encourage critical thinking and retention with in-class resources such as Learning Catalytics. Students can further master concepts after class through traditional and adaptive homework assignments that provide hints and answer-specific feedback. The Mastering gradebook records scores for all automatically graded assignments in one place, while diagnostic tools give instructors access to rich data to assess student understanding and misconceptions.
Mastering brings learning full circle by continuously adapting to each student and making learning more personal than ever—before, during, and after class.
Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations.
As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics.
Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself.
Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.
Find out why you ought to put spin on the ball. Get tips on how to improve your free throw and increase your percentage from the charity stripe. You’ll even learn how to shatter the backboard, if that’s something you’ve always dreamed of doing. With photographs and simple high school formulas, physics professor Fontanella—who played in college against Pittsburgh and Syracuse—reveals the key pieces of physics that underscore basketball. He covers almost every aspect of the game, weaving in stories from games he’s played and games he’s seen, and tales from basketball history and folklore. Physics comes alive as you see how Kobe Bryant, Wilt "the Stilt" Chamberlain, Michael Jordan, Becky Hammon, and J. J. Reddick do naturally the things that Isaac Newton says they should.