In this richly illustrated book, Nobel Laureate Gerard ''t Hooft and Theoretical Physicist Stefan Vandoren describe the enormous diversity of natural phenomena that take place at different time scales. In the tradition of the bestseller Powers of Ten, the authors zoom in and out in time, each step with a factor of ten. Starting from one second, time scales are enlarged until processes are reached that take much longer than the age of the universe. After the largest possible eternities, the reader is treated to the shortest and fastest phenomena known. Then the authors increase with powers of ten, until again the second is reached at the end of the book. At each time scale, interesting natural phenomena occur, spread over all scientific disciplines: orbital and rotation periods of planets and stars, decay times of elementary particles and atoms, biological rhythms and evolution processes, but also the different geological time scales. Readership: Science enthusiasts and students.

With a Foreword by Steven WeinbergIn this richly illustrated book, Nobel Laureate Gerard 't Hooft and Theoretical Physicist Stefan Vandoren describe the enormous diversity of natural phenomena that take place at different time scales.In the tradition of the bestseller Powers of Ten, the authors zoom in and out in time, each step with a factor of ten. Starting from one second, time scales are enlarged until processes are reached that take much longer than the age of the universe. After the largest possible eternities, the reader is treated to the shortest and fastest phenomena known. Then the authors increase with powers of ten, until again the second is reached at the end of the book.At each time scale, interesting natural phenomena occur, spread over all scientific disciplines: orbital and rotation periods of planets and stars, decay times of elementary particles and atoms, biological rhythms and evolution processes, but also the different geological time scales. remove

Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration.

This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “who’s who” list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians.

"a gem of a textbook which manages to produce a genuinely fresh, concise yet comprehensive guide" –Mark Leake, University of York "destined to become a standard reference.... Not just a ‘how to’ handbook but also an accessible primer in the essentials of kinetic theory and practice." –Michael Geeves, University of Kent "covers the entire spectrum of approaches, from the traditional steady state methods to a thorough account of transient kinetics and rapid reaction techniques, and then on to the new single molecule techniques" –Stephen Halford, University of Bristol This illustrated treatment explains the methods used for measuring how much a reaction gets speeded up, as well as the framework for solving problems such as ligand binding and macromolecular folding, using the step-by-step approach of numerical integration. It is a thoroughly modern text, reflecting the recent ability to observe reactions at the single-molecule level, as well as advances in microfluidics which have given rise to femtoscale studies. Kinetics is more important now than ever, and this book is a vibrant and approachable entry for anyone who wants to understand mechanism using transient or single molecule kinetics without getting bogged down in advanced mathematics. Clive R. Bagshaw is Emeritus Professor at the University of Leicester, U.K., and Research Associate at the University of California at Santa Cruz, U.S.A.

One of the world’s most captivating scientists challenges us to think about nature’s foundations and the entanglement of science and society. Steven Weinberg, author of The First Three Minutes, offers his views on fascinating aspects of physics and the universe, but does not seclude science behind disciplinary walls, or shy away from politics.

The age-old debate between science and faith invites more players to the fore in this book. Proponents of the origin of life as a natural process and natural selection as a mechanism of evolution come face to face with advocates for the intervention of a creator, while other scholars believe that the gulf between science and religion should be bridged.At turns disconcerting, revelatory, and profound, readers are invited to leave their preconceived notions at the door and join these writers in this curious journey of discovery.