However, it is one of the basic principles of quantum theory, the most widely accepted explanation of the subatomic world - and one of the fascinating subjects dealt with in Equations of Eternity.

    Jacobson provides a comprehensive overview of this spectacular industry, allowing everyone on Earth to understand the integral role space plays in our lives, how it will continue to transform the world, and how you could participate.In the vein of Mary Roach, Jacobson makes a complex topic easily understandable—and accessible—for every reader.Space as an industry offers a triple bottom line: Return on Investment, Innovation, and Inspiration.INVESTMENTImagine if you had the opportunity to invest in Apple when it was new and undiscovered—would you do it?Space is a culmination of many disciplines, and it works in tandem with various industries. The sector’s growth depends on merging different fields with cutting-edge technologies, fantastical ideas with logical applications.Investors, including John Doerr, Khosla Ventures, Sequoia, RRE, Bessemer Venture Partners, First Round, Peter Thiel’s Founders Fund, and Andreesen Horowitz, took notice and are backing companies in this growing sector.INNOVATIONSpace is the sector with the most unlimited potential for progress and collaboration. When space advances, other industries benefit. When other industries advance, space benefits as well—innovations and progress multiply.From Hollywood to navigation, communications devices to streaming services, medical discoveries to robotics, agriculture to energy, all of these industries affect space and are affected by space—much like bees pollinating flowers.Jacobson proposes that space startups can borrow tactics and strategies developed by other entrepreneurs and thought leaders—such as Peter Thiel, Eric Ries, and Ben Horowitz—to improve space startups' probability for success.INSPIRATIONWhat do Jules Verne, Star Trek, Isaac Asimov, Arthur C. Clarke, Stanley Kubrick, Jerry Pournelle, Andy Weir, and David Bowie have in common?For centuries, artists and creators have helped inspire real space efforts. They merged space with arts and entertainment to construct visions and stories that helped us articulate, amplify, and imagine what is possible—ultimately influencing and shaping reality, from Moon missions to mobile phones.What will we accomplish over the next decade? Is there a way to achieve great personal success and benefit others—maybe even all of humanity?

    10,000 first printing.

    This textbook, based on the author's own undergraduate teaching, develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. It reinforces this understanding by making a detailed study of the theory's most important applications - neutron stars, black holes, gravitational waves, and cosmology - using the most up-to-date astronomical developments. The book is suitable for a one-year course for beginning graduate students or for undergraduates in physics who have studied special relativity, vector calculus, and electrostatics. Graduate students should be able to use the book selectively for half-year courses.

    As was the case with Gore's first movie (An Inconvenient Truth), the movie is bursting with bad science, bad policy and some outright falsehoods. The storm events Gore addresses occur naturally, and there is little or no evidence they are being made worse from human activities: sea level is rising at the same rate it was before humans started burning fossil fuels; in Miami Beach the natural rise is magnified because buildings and streets were constructed on reclaimed swampland that has been sinking; the 9/11 memorial was not flooded by sea level rise from melting ice sheets, but a storm surge at high tide, which would have happened anyway and was not predicted by Gore in his first movie, as he claims; the Greenland ice sheet undergoes melt every summer, which was large in 2012 but then unusually weak in 2017; glaciers advance and retreat naturally, as evidenced by 1,000 to 2,000 year old tree stumps being uncovered in Alaska; rain gauge measurements reveal the conflict in Syria was not caused by reduced rainfall hurting farming there, and in fact the Middle East is greening from increasing CO2 in the atmosphere; agricultural yields in China have been rising, not falling as claimed by Gore. The renewable energy sources touted by Gore (wind and solar), while a laudable goal for our future, are currently very expensive: their federal subsidies per kilowatt-hour of energy produced are huge compared to coal, natural gas, and nuclear power. These costs are hidden from the public in increased federal and state tax rates. Gore is correct that "it is right to save humanity", but what we might need saving from the most are bad decisions that reduce prosperity and hurt the poor.

    It strikes a balance between theory and application by incorporating real-world examples; helping students visualize the three-dimensional atomic and molecular structures that are the basis of chemical activity; and developing problem-solving and critical thinking skills. Although the fifth edition incorporates many new features, such as macro to micro artwork, six new animations correlated to the text, and the addition of new hand-sketched worked examples, General Chemistry is still 200 to 300 pages shorter and much less expensive than other two-semester textbooks. Dr. Chang's concise-but-thorough approach will appeal to efficiency-minded instructors and value-conscious students.

    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.

    Included are extra close-up charts of the Orion Nebula, Pleiades, Virgo Galaxy Cluster, and Large Magellanic Cloud.

    In this lively and compact introduction, astrophysicist Andrew King reveals how the laws of physics force stars to evolve, driving them through successive stages of maturity before their inevitable and sometimes spectacular deaths, to end as remnants such as black holes. The book shows how we know what stars are made of, how gravity forces stars like the Sun to shine by transmuting hydrogen into helium in their centers, and why this stage is so long-lived and stable. Eventually the star ends its life in one of just three ways, and much of its enriched chemical content is blasted into space in its death throes. Every dead star is far smaller and denser than when it began, and we see how astronomers can detect these stellar corpses as pulsars and black holes and other exotic objects. King also shows how astronomers now use stars to measure properties of the Universe, such as its expansion. Finally, the book asks how it is that stars form in the first place, and how they re-form out of the debris left by stars already dead. These birth events must also be what made planets, not only in our solar system, but around a large fraction of all stars.

    Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in CALCULUS: THE CLASSIC EDITION, 5th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.