Stephen Hawking’s worldwide bestseller, A Brief History of Time , has been a landmark volume in scientific writing. Its author’s engaging voice is one reason, and the compelling subjects he addresses is another: the nature of space and time, the role of God in creation, the history and future of the universe. But it is also true that in the years since its publication, readers have repeatedly told Professor Hawking of their great difficulty in understanding some of the book’s most important concepts. This is the origin of and the reason for A Briefer History of Time : its author’s wish to make its content more accessible to readers—as well as to bring it up-to-date with the latest scientific observations and findings. Although this book is literally somewhat “briefer,” it actually expands on the great subjects of the original. Purely technical concepts, such as the mathematics of chaotic boundary conditions, are gone. Conversely, subjects of wide interest that were difficult to follow because they were interspersed throughout the book have now been given entire chapters of their own, including relativity, curved space, and quantum theory. This reorganization has allowed the authors to expand areas of special interest and recent progress, from the latest developments in string theory to exciting developments in the search for a complete unified theory of all the forces of physics. Like prior editions of the book—but even more so— A Briefer History of Time will guide nonscientists everywhere in the ongoing search for the tantalizing secrets at the heart of time and space.

"This mind-blowing illustrated collection showcases hundreds of tattoos dedicated to numerous scientific arenas, from evolutionary biology and neuroscience to mathematics and astrophysics, with a brief note from each inked individual highlighting the reasons for selecting the tattoo. Best of all, each example is a leaping-off point for best-selling science essayist and lecturer Zimmer to muse about the subject, whether it's the importance of a tattoo of Darwin's finches or the significance of the uranium atom inked into the chest of a young radiologist"--

The Essential Guide that Introduced Fractals to the World Explore the wondrously complex repeating shapes of the natural world in The Fractal Geometry of Nature. Written in a style that is accessible to a wide audience, computer scientist, professor, mathematician, economist, and visionary Benoit B Mandelbrot's fascinating work has inspired popular interest in the geometry inherent in the natural world. Unlike the squares, circles, spheres, and cones of fundamental geometry, nature has rough edges and no straight lines or perfect curves. Mandelbrot observed that, even with this roughness, there still exists a kind of symmetry, which he dedicated his work to document and study. This became the basis for his development of a new kind of geometry; indeed, he coined the term "fractal." Mandelbrot spent 35 years with IBM, which allowed him access to the level of computing power that would enable him to manipulate computer-generated images and develop his theory of a geometry found throughout our natural environment. He was among the first to use computer graphics to illustrate and test these kinds of concepts, demonstrating that natural phenomena which appear to be rough or chaotic actually have a certain degree of order and predictability. This definitive overview builds on Mandelbrot's 1977 work, Fractals: Form, Chance and Dimension (also published by Echo Point Books), revealing an in depth look at this still-emerging field. Richly illustrated and presented in an engaging manner which embraces geometric and visual dimensions interspersed with aspects of theory, this book will inspire curiosity and wonder in artists, mathematicians and naturalists alike. This book is also available from Echo Point Books in hardcover (ISBN 1648370403). Be sure to check out Benoit Mandelbrot's other definitive work, also availabe from Echo Point books: Fractals: Form, Chance and Dimension (use the web address https: //www.amazon.com/dp/1635619025/).

This book, suitable for both course work and self-study, brings together for the first time, in an informal, tutorial fashion, the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields: programmers, scientists, engineers, mathematicians, statisticians and management scientists will all find interesting possibilities here. Major concepts are illustrated with running examples, and major algorithms are illustrated by Pascal computer programs. Chapter concludes with exercises and computer assignments. No prior knowledge of Gas or genetics is assumed.

"Weinberg takes us across centuries from ancient Miletus to medieval Baghdad and Oxford, from Plato's Academy and the Museum of Alexandria to the cathedral school of Chartres and the Royal Society of London. He shows that the scientists of ancient and medieval times not only did not understand what we understand about the world--they did not understand what there is to understand, or how to understand it. Yet over the centuries, through the struggle to solve such mysteries as the curious backward movement of the planets and the rise and fall of the tides, the modern discipline of science eventually emerged"--Amazon.com ; Presents a commentary on the history of science that examines historic clashes and collaborations between science and the competing realms of religion, technology, poetry, mathematics, and philosophy

A funny, insightful, and self-contained guide to Einstein's relativity theory and classical field theories--including electromagnetism Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.

Everything is interesting if you go into it deeply enough says Richard P. Feynman in The Smartest Men in the World, one of the many pieces in this collection of Feynman's best short works.

Published in 1913, a best-seller in the 1930s and long out of print, Physics for Entertainment was translated from Russian into many languages and influenced science students around the world. Among them was Grigori Yakovlevich Perelman, the Russian mathematician (unrelated to the author), who solved the Poincaré conjecture, and who was awarded and rejected the Fields Medal. Grigori's father, an electrical engineer, gave him Physics for Entertainment to encourage his son's interest in mathematics. In the foreword, the book's author describes the contents as "conundrums, brain-teasers, entertaining anecdotes, and unexpected comparisons," adding, "I have quoted extensively from Jules Verne, H. G. Wells, Mark Twain and other writers, because, besides providing entertainment, the fantastic experiments these writers describe may well serve as instructive illustrations at physics classes." The book's topics included how to jump from a moving car, and why, "according to the law of buoyancy, we would never drown in the Dead Sea." Ideas from this book are still used by science teachers today.

Doing Physics makes concepts of physics easier to grasp by relating them to everyday knowledge. Addressing some of the models and metaphors that physicists use to explain the physical world, Martin H. Krieger describes the conceptual world of physics by means of analogies to economics, anthropology, theater, carpentry, mechanisms such as clockworks, and machine tool design. The interaction of elementary particles or chemical species, for example, can be related to the theory of kinship—who can marry whom is like what can interact with what. Likewise, the description of physical situations in terms of interdependent particles and fields is analogous to the design of a factory with its division of labor among specialists. For the new edition, Krieger has revised the text and added a chapter on the role of mathematics and formal models in physics. Doing Physics will be of special interest to economists, political theorists, anthropologists, and sociologists as well as philosophers of science.

Explains the history and tenets of mathematics including the relationship of mathematics to the other sciences.

Carl Gustav Jung (1875-1961) and Wolfgang Ernst Pauli (1900 - 1958) were two of the greatest thinkers of modern times. Jung is the founder of Analytical Psychology and is one of the best known researchers in the field of Dream Interpretation and Symbolization. Pauli was one of the pioneers of Quantum Physics. In 1945, Pauli received the Nobel Prize in Physics after being nominated by Albert Einstein for his "decisive contribution through his discovery of a new law of Nature, the exclusion principle" involving spin theory underpinning the structure of matter and the whole of chemistry. Together they collaborated on this book that was First published in 1952 in German as Naturerklarung und Psyche. C. G. Jung: Synchronizitat als ein Prinzip akausaler Zusammenhange. W. Pauli: Der Einfluss archetypischer Vorstellungen auf die Bildung naturwissenschaftlicher Theorien bei Kepler. However, our reviewer, himself an eminent professor of mathematics, concludes, "After thoroughly studying their writings for many months now, I have come to see clearly that they are both utterly mad.""

In these thirty-eight interviews, originally published in the weekly Science Times section of The New York Times , Claudia Dreifus brings all of her colorful personality to bear on her subjects, as well as an arsenal of philosophy, literature, and current events, and an unmistakable curiosity. As each conversation unfolds, we learn surprising and fascinating things about some of the most intriguing figures and issues in science today. Dreifus's outsider status in the world of science is perhaps one of her greatest interviewing strengths. A political journalist for much of her career, she stumbled into a position at the Science Times section. With little more scientific background than the average person, she scrambled to prepare for her meetings with some of the greatest minds in a broad range of disciplines-from astronomy to geology, from biology and medicine to computer science and mathematics. She soon found herself in a refreshingly candid environment, so unlike the one she had known on the political beat. It is from this perspective that she makes science tangible, accessible, and entertaining.

The Road to Infinity [paperback] Asimov, Isaac

Introduction to Matrix Analysis is a comprehensive guide to the study of matrices, written by renowned mathematician Richard Bellman. The book covers all the fundamental concepts of matrix theory, including matrix algebra, determinants, eigenvalues and eigenvectors, and linear transformations. The text is designed to be accessible to students with a basic understanding of linear algebra, and includes numerous examples and exercises to reinforce key concepts. In addition, the book also explores advanced topics such as singular value decomposition, positive definite matrices, and the spectral theorem. With its clear and concise presentation, Introduction to Matrix Analysis is an essential resource for anyone interested in the study of matrices and their applications in mathematics, science, and engineering.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

Aerodynamics by Theodore Von Karman is a classic textbook that provides a comprehensive introduction to the principles of aerodynamics. The book covers the fundamental concepts of fluid dynamics, including the behavior of gases and liquids, the equations of motion, and the principles of conservation of mass, momentum, and energy. It also explores the physics of aerodynamic forces, such as lift and drag, and the role of viscosity and turbulence in the flow of fluids. The book includes detailed discussions of various aerodynamic phenomena, such as boundary layers, shock waves, and vortices, and their impact on aircraft design and performance. It also covers the design and analysis of airfoils, wings, and other aerodynamic components, as well as the principles of aircraft stability and control. Written by one of the most renowned figures in the field of aerodynamics, this book is an essential resource for students and professionals in the aerospace industry, as well as anyone interested in the science of flight. With its clear explanations, extensive illustrations, and practical examples, Aerodynamics is a valuable reference for anyone seeking a deeper understanding of the principles that govern the behavior of fluids in motion.Selected Topics In The Light Of Their Historical Development.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

In these essays Heinz von Foerster discusses some of the fundamental principles that govern how we know the world and how we process the information from which we derive that knowledge. Included are path- breaking articles concerning the principles of computation in neural nets (1967), the definition of self-organizing systems (1960), the nature of cognition (1970), as well as recent expansions on these themes (e.g. "How recursive is communication," 1993). Working with Norbert Wiener, Warren McCullough, and others in the 1960s and 1970s, von Foerster was one of the founders of the science of cybernetics, which has had profound effects both on modern systems theory and on the philosophy of cognition. At the Biological Computer Laboratory at the University of Illinois he produced the first parallel computers and contributed to many other developments in the theory of computation and cognition.

17 essays selected from the magazine "Fantasy and science fiction."

This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout. Alfred Tarski, one of the greatest logicians of all time, is widely thought of as 'the man who defined truth'. His work on the concepts of truth and logical consequence as defined by mathematical theory are cornerstones of modern logic, influencing developments in mathematics, philosophy, linguistics, and computer science. His teaching on logic and mathematics culminated in the 1941 classic INTRODUCTION TO LOGIC, which uses the method of deduction and explores logic and methodology as it pertains to creating mathematical theories.

Astronomy is a fortunate science; it needs no embellishments, said the French savant Arago. So fascinating are its achievements that no special effort is needed to attract attention. Nonetheless, the science of the heavens is not only a collection of astonishing revelations and daring theories. Ordinary facts, things that happen, day by day, are its substance. Most laymen have, generally speaking, a rather hazy notion of this prosaic aspect of astronomy. They find it of little interest, for it is indeed hard to concentrate on what is always before the eye.Everyday happenings in the sky are the contents of this book, free from professional terminology with easy reading. Its purpose is to initiate the reader into the basic facts of astronomy. Ordinary facts with which you may be acquainted are couched here in unexpected paradoxes, or slanted from an odd and unexpected angle solely to excite the imagination and quicken your interest. The daily aspect of the science of the skies, its beginnings, not later findings that mainly form the contents of Astronomy for Entertainment. The purpose of the book is to initiate the reader into the basic facts of astronomy. Ordinary facts with which you may be acquainted are couched here in unexpected paradoxes, or slanted from an odd and unexpected angle. The theme is, as far as possible, free from "terminology" and technical paraphernalia that so often make the reader shy of books on astronomy.Books on popular science are often rebuked for not being sufficiently serious. In a way the rebuke is just, and support for it can be found (if one has in mind the exact natural sciences) in the tendency to avoid calculations in any shape or form. And yet the reader can really master his subject only by learning how to reckon, even though in a rudimentary fashion. True, he has taken care to present them in an easy form, well within the reach of all who have studied mathematics at school. It is his conviction that these exercises help not only retain the knowledge acquired; they are also a useful introduction to more serious reading.This book contains chapters relating to the Earth, the Moon, planets, stars and gravitation. The author has concentrated in the main on materials not usually discussed in works of this nature. Subjects omitted in the present book, will, he hopes, be treated in a second volume. The book, it should be said, makes no attempt to analyze in detail the rich content of modern astronomy.Unfortunately Y. Perelman never wrote the continuation he had planned for this book, as untimely death in war bound Leningrad in 1942 interrupted his labours.

This volume contains some of Professor Wigner's more popular papers, which, in their diversity of subject and clarity of style, reflect the author's deep analytical powers and the remarkable scope of his interests. Included are articles on the nature of physical symmetry, invariance and conservation principles, the structure of solid bodies and of the compound nucleus, the theory of nuclear fission, the effects of radiation on solids, and epistemological problems of quantum mechanics. Other articles deal with the story of the first man-made nuclear chain reaction, the long-term prospects of nuclear energy, the problems of Big Science, and the role of mathematics in the natural sciences. In addition, the book contains statements of Wigner's convictions and beliefs, as well as memoirs of his friends, Enrico Fermi and John von Neumann.