The mysteries of the physical world speak to us through equations--compact statements about the way nature works, expressed in nature's language, mathematics. In this book by the renowned Dutch physicist Sander Bais, the equations that govern our world unfold in all their formal grace--and their deeper meaning as core symbols of our civilization.
Trying to explain science without equations is like trying to explain art without illustrations. Consequently Bais has produced a book that, unlike any other aimed at nonscientists, delves into the details--historical, biographical, practical, philosophical, and mathematical--of seventeen equations that form the very basis of what we know of the universe today. A mathematical objet d'art in its own right, the book conveys the transcendent excitement and beauty of these icons of knowledge as they reveal and embody the fundamental truths of physical reality.
These are the seventeen equations that represent radical turning points in our understanding--from mechanics to electrodynamics, hydrodynamics to relativity, quantum mechanics to string theory--their meanings revealed through the careful and critical observation of patterns and motions in nature. Mercifully short on dry theoretical elaborations, the book presents these equations as they are--with the information about their variables, history, and applications that allows us to chart their critical function, and their crucial place, in the complex web of modern science.
Reading The Equations, we can hear nature speaking to us in its native language.
At a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context of its evolution. Evolutionary change is the consequence of mutation and natural selection, which are two concepts that can be described by mathematical equations. Evolutionary Dynamics is concerned with these equations of life. In this book, Martin A. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His work introduces readers to the powerful yet simple laws that govern the evolution of living systems, no matter how complicated they might seem.
Evolution has become a mathematical theory, Nowak suggests, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics. His book presents a range of analytical tools that can be used to this end: fitness landscapes, mutation matrices, genomic sequence space, random drift, quasispecies, replicators, the Prisoner’s Dilemma, games in finite and infinite populations, evolutionary graph theory, games on grids, evolutionary kaleidoscopes, fractals, and spatial chaos. Nowak then shows how evolutionary dynamics applies to critical real-world problems, including the progression of viral diseases such as AIDS, the virulence of infectious agents, the unpredictable mutations that lead to cancer, the evolution of altruism, and even the evolution of human language. His book makes a clear and compelling case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.
“ In this beautifully and intelligently written book, Ferguson not only reports on some of the intellectual tremors jolting the world of thinking women and men, but also considers the basic questions with penetrating analysis, yet at a very readable level. . . . An excellent book.” —Choice
Heralded for its readability and scholarship, The Fire in the Equations offers a fascinating discussion of scientific discoveries and their impact on our beliefs. The book’s title is derived from Dr. Stephen Hawking’s pondering, “What is it that breathes fire into the equations and makes a universe for them to describe?”
Originally published in the U.S. in 1995, it provides an excursion through new theories of quantum physics and cosmology, ranging from the nature of time, the big bang, the “unreasonable effectiveness” of mathematics, laws of nature, and their possible relation to God, chaos theory, black holes, Heisenberg’s uncertainty principle, particle physics, Darwin's theory of evolution, and the role of God in all these equations. It even raises such questions as “how God might answer prayers” from the point of view of physics.
While she gives no absolute answers, Kitty Ferguson takes the reader through a world of paradoxes and improbabilities, explaining how believing in a pre-determined universe and free will as a theory of human behavior is possible. She concludes that what we know about science doesn't necessarily make God inevitable, but does not rule God out either.
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