Ian Stewart's up-to-the-minute guide to the cosmos moves from the formation of the Earth and its Moon to the planets and asteroids of the solar system and from there out into the galaxy and the universe. He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it will end. He considers parallel universes, what forms extra-terrestrial life might take, and the likelihood of Earth being hit by an asteroid. Mathematics, Professor Stewart shows, has been the driving force in astronomy and cosmology since the ancient Babylonians. He describes how Kepler's work on planetary orbits led Newton to formulate his theory of gravity, and how two centuries later irregularities in the motion of Mars inspired Einstein's theory of general relativity. In crystal-clear terms he explains the fundamentals of gravity, spacetime, relativity and quantum theory, and shows how they all relate to each other. Eighty years ago the discovery that the universe is expanding led to the Big Bang theory of its origins. This in turn led cosmologists to posit features such as dark matter and dark energy. But does dark matter exist? Could another scientific revolution be on the way to challenge current scientific orthodoxy? These are among the questions Ian Stewart raises in his quest through the realms of astronomy and cosmology.
See the world in a completely new way as an esteemed mathematician shows how math powers the world—from technology to health care and beyond. Almost all of us have sat in a math class, wondering when we'd ever need to know how to find the roots of a polynomial or graph imaginary numbers. And in one sense, we were right: if we needed to, we'd use a computer. But as Ian Stewart argues in What's the Use?, math isn't just about boring computations. Rather, it offers us new and profound insights into our world, allowing us to accomplish feats as significant as space exploration and organ donation. From the trigonometry that keeps a satellite in orbit to the prime numbers used by the world's most advanced security systems to the imaginary numbers that enable augmented reality, math isn't just relevant to our lives. It is the very fabric of our existence.
Mindsteps to the Cosmos shows how modern global civilization depends on giant leaps of understanding that have been made in the past. Science and technology have been inspired and formulated by the sky OCo the cosmos in which we live. Human development could not have taken place on a cloud-shrouded planet. Mathematics was invented to track the movements of the sun, moon and stars even though back then these were thought to be gods. The space program has taken us beyond the earth, and satellite systems are exploring to the ends of the visible universe. This book provides the reader with algorithms to construct personal computer programs for finding the position of the moon and planets, and for calculating dates through historic periods in the Egyptian as well as the old and new style calendars."
A step-by-step guide to predicting and calculating the positions of stars, planets, the sun, the moon, and satellites using a personal computer and high school mathematics—for amateur astronomers Our knowledge of the universe is expanding rapidly, as space probes launched decades ago begin to send information back to earth. There has never been a better time to learn about how planets, stars, and satellites move through the heavens. This book is for amateur astronomers who want to move beyond pictures of constellations in star guides and solve the mysteries of a starry night. It is a book for readers who have wondered where Saturn will appear in the night sky, when the sun will rise and set—or how long the space station will be over their location. In Celestial Calculations, J. L. Lawrence shows readers how to find the answers to these and other astronomy questions with only a personal computer and high school math. Using an easy-to-follow step-by-step approach, Lawrence explains what calculations are required, why they are needed, and how they all fit together. Lawrence begins with basic principles: unit of measure conversions, time conversions, and coordinate systems. He combines these concepts into a computer program that can calculate the location of a star and uses the same methods for predicting the locations of the sun, moon, and planets. He then shows how to use these methods for locating the many satellites we have sent into orbit. Finally, he describes a variety of resources and tools available to the amateur astronomer, including star charts and astronomical tables. Diagrams illustrate the major concepts, and computer programs that implement the algorithms are included. Photographs of actual celestial objects accompany the text, and interesting astronomical facts are interspersed throughout. Source code (in Python 3, JAVA, and Visual Basic) and executables for all the programs and examples presented in the book are available for download at https://CelestialCalculations.github.io.
School maths is not the interesting part. The real fun is elsewhere. Like a magpie, Ian Stewart has collected the most enlightening, entertaining and vexing 'curiosities' of maths over the years... Now, the private collection is displayed in his cabinet. There are some hidden gems of logic, geometry and probability -- like how to extract a cherry from a cocktail glass (harder than you think), a pop up dodecahedron, the real reason why you can't divide anything by zero and some tips for making money by proving the obvious. Scattered among these are keys to unlocking the mysteries of Fermat's last theorem, the Poincaré Conjecture, chaos theory, and the P/NP problem for which a million dollar prize is on offer. There are beguiling secrets about familiar names like Pythagoras or prime numbers, as well as anecdotes about great mathematicians. Pull out the drawers of the Professor's cabinet and who knows what could happen...
The Fabric of the Cosmos: Space, Time, and the Texture of Reality offers an insightful journey into the depths of cosmology, providing an in-depth exploration of the fundamental concepts and theories that shape our understanding of the universe. This captivating book takes readers on a captivating odyssey, unraveling the mysteries of space, time, and the intricate texture of reality. From the very beginning, the book sets the stage with an Introduction to Cosmology, presenting an overview of the Big Bang Theory and the theoretical frameworks that underpin cosmological studies. Understanding the origins of the universe becomes a fascinating endeavor as the book delves into the early universe, discussing concepts such as inflation theory and the formation of cosmic structures. Observational methods in cosmology take center stage in Chapter 2, where readers are introduced to telescopes and observatories, along with the significance of cosmic microwave background radiation. As the exploration continues, the book covers topics such as redshift and Hubble's Law, as well as the intriguing measurements and implications of dark matter and dark energy. The Cosmic Microwave Background is thoroughly examined in Chapter 4, highlighting its discovery and importance. Exploring cosmic microwave background anisotropy and the cosmological implications of polarization brings readers closer to comprehending the intricate fabric of the universe. Another captivating topic covered in the book is the formation of structures in the universe. Chapter 5 unveils the large-scale structure of the universe, shedding light on galaxy clusters, superclusters, and the fascinating birth of galaxies. Expanding the scope of inquiry, Chapter 6 delves into the evolution of stars and galaxies, offering an enthralling examination of stellar evolution, galactic morphology and evolution, as well as the captivating world of active galactic nuclei. Dark matter and dark energy, the enigmatic components that shape our universe, take the spotlight in Chapter 7. Readers are immersed in a comprehensive exploration of the nature, properties, and implications of dark matter and dark energy, unraveling their roles in the expansion of the universe and the development of cosmological models. The book takes a mind-bending turn in Chapter 8, where the concept of parallel universes and multiple dimensions is explored. Through the lens of multiverse theories, readers are invited to contemplate the mind-boggling possibilities presented by string theory, the Many Worlds Interpretation, and the Anthropic Principle. Chapter 9 delves into cosmological models and theories, presenting the standard cosmological model (ΛCDM), alternative models, and modifications, as well as the intriguing realm of quantum cosmology. Finally, the book concludes with Chapter 10, providing thought-provoking insights into the fate of the universe. Will it experience a Big Freeze, a Big Crunch, or a Big Rip? Multiverse scenarios and the ultimate destiny of the universe offer captivating perspectives that will leave readers pondering the awe-inspiring nature of existence. The Fabric of the Cosmos: Space, Time, and the Texture of Reality is a must-read for anyone seeking a comprehensive understanding of the cosmos. With its engaging narrative and in-depth exploration of cosmological concepts, this book is an invaluable resource for both novice and seasoned enthusiasts. Embark on an enlightening journey through the depths of the cosmos, and unlock the secrets of the universe's fabric.
An enlightening vision of how the laws of mathematics find organic expression in the beauty and patterns of nature, written by an acclaimed mathematician and science writer.
Calculating God is the new near-future SF thriller from the popular and award-winning Robert J. Sawyer. An alien shuttle craft lands outside the Royal Ontario Museum in Toronto. A six-legged, two-armed alien emerges, who says, in perfect English, "Take me to a paleontologist." It seems that Earth, and the alien's home planet, and the home planet of another alien species traveling on the alien mother ship, all experienced the same five cataclysmic events at about the same time (one example of these "cataclysmic events" would be the meteor that wiped out the dinosaurs). Both alien races believe this proves the existence of God: i.e. he's obviously been playing with the evolution of life on each of these planets. From this provocative launch point, Sawyer tells a fast-paced, and morally and intellectually challenging, SF story that just grows larger and larger in scope. The evidence of God's universal existence is not universally well received on Earth, nor even immediately believed. And it reveals nothing of God's nature. In fact. it poses more questions than it answers. When a supernova explodes out in the galaxy but close enough to wipe out life on all three home-worlds, the big question is, Will God intervene or is this the sixth cataclysm:? Calculating God is SF on the grand scale. Calculating God is a 2001 Hugo Award Nominee for Best Novel. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
A Publishers Weekly best book of 1995! 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.
