Discover how mathematical sequences abound in our natural world in this definitive exploration of the geography of the cosmos You need not be a philosopher or a botanist, and certainly not a mathematician, to enjoy the bounty of the world around us. But is there some sort of order, a pattern, to the things that we see in the sky, on the ground, at the beach? In A Beginner's Guide to Constructing the Universe, Michael Schneider, an education writer and computer consultant, combines science, philosophy, art, and common sense to reaffirm what the ancients observed: that a consistent language of geometric design underpins every level of the universe, from atoms to galaxies, cucumbers to cathedrals. Schneider also discusses numerical and geometric symbolism through the ages, and concepts such as periodic renewal and resonance. This book is an education in the world and everything we can't see within it. Contains numerous b&w photos and illustrations.

Traces the history of theories about the nature of the universe, looks at the contributions of scientists from Copernicus to Einstein, and summarizes current theories of cosmic evolution

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

A fascinating and inspirational look at the vital link between the hidden geometrical order of the universe, geometry in nature, and the geometry of the man-made world. The Da Vinci Code has awakened the public to the powerful and very ancient idea that religious truths and mathematical principles are intimately intertwined. Sacred Geometry offers an accessible way of understanding how that connection is revealed in nature and the arts. Over the centuries, temple builders have relied on magic numbers to shape sacred spaces, astronomers have used geometry to calculate holy seasons, and philosophers have observed the harmony of the universe in the numerical properties of music. By showing how the discoveries of mathematics are manifested over and over again in biology and physics, and how they have inspired the greatest works of art, this illuminating study reveals the universal principles that link us to the infinite.

An accessible look at the mysteries that lurk at the edge of the known universe and beyond The observable universe, the part we can see with telescopes, is incredibly vast. Yet recent theories suggest that there is far more to the universe than what our instruments record—in fact, it could be infinite. Colossal flows of galaxies, large empty regions called voids, and other unexplained phenomena offer clues that our own "bubble universe" could be part of a greater realm called the multiverse. How big is the observable universe? What it is made of? What lies beyond it? Was there a time before the Big Bang? Could space have unseen dimensions? In this book, physicist and science writer Paul Halpern explains what we know?and what we hope to soon find out?about our extraordinary cosmos. Explains what we know about the Big Bang, the accelerating universe, dark energy, dark flow, and dark matter to examine some of the theories about the content of the universe and why its edge is getting farther away from us faster Explores the idea that the observable universe could be a hologram and that everything that happens within it might be written on its edge Written by physicist and popular science writer Paul Halpern, whose other books include Collider: The Search for the World's Smallest Particles, and What's Science Ever Done For Us: What the Simpsons Can Teach Us About Physics, Robots, Life, and the Universe

NEW YORK TIMES BESTSELLER • Deepak Chopra joins forces with leading physicist Menas Kafatos to explore some of the most important and baffling questions about our place in the world. "A riveting and absolutely fascinating adventure that will blow your mind wide open!" —Dr. Rudolph E. Tanzi What happens when modern science reaches a crucial turning point that challenges everything we know about reality? In this brilliant, timely, and practical work, Chopra and Kafatos tell us that we've reached just such a point. In the coming era, the universe will be completely redefined as a "human universe" radically unlike the cold, empty void where human life is barely a speck in the cosmos. You Are the Universe literally means what it says--each of us is a co-creator of reality extending to the vastest reaches of time and space. This seemingly impossible proposition follows from the current state of science, where outside the public eye, some key mysteries cannot be solved, even though they are the very issues that define reality itself: • What Came Before the Big Bang? • Why Does the Universe Fit Together So Perfectly? • Where Did Time Come From? • What Is the Universe Made Of? • Is the Quantum World Linked to Everyday Life? • Do We Live in a Conscious Universe? • How Did Life First Begin? “The shift into a new paradigm is happening,” the authors write. “The answers offered in this book are not our invention or eccentric flights of fancy. All of us live in a participatory universe. Once you decide that you want to participate fully with mind, body, and soul, the paradigm shift becomes personal. The reality you inhabit will be yours either to embrace or to change.” What these two great minds offer is a bold, new understanding of who we are and how we can transform the world for the better while reaching our greatest potential.

Constructing the Expanding Universe provides students with a comprehensive exploration of the history of the evolving cosmos. In the text, the universe is seen as both physically and intellectually expanding as its physical characteristics evolve and our knowledge of the cosmos grows. It introduces students to fundamental scientific concepts that nurture the scientist in each and every reader. Chapter 1 helps students understand how astronomical objects are ob