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In the third edition a number of minor misprints that appeared in the second edition have have been corrected. Furthermore, 17 new problems have been added, at the end of chapters 6, 8, 9, 11, 12, 13, and 14. The answers to these 17 problems have not been listed in the 'Answers' section at the end of the book. This will permit the problems to be used as hand-in problems or perhaps in mid-term exams. JMK €9 PGH Copenhagen May 2000 Preface to the Second Edition In the second edition, a number of misprints that appeared in the first edition have been corrected. In addition to this, we have made improvements based on the experience gathered in the use of the first English edition of the book in the introductory course in physics at the University of Copenhagen. A chapter introducing nonlinear dynamics has been added. The purpose of this chapter is to provide supplementary reading for the students who are interested in this area of active research, where Newtonian mechanics plays an essential role. The students who wish to dig deeper, should consult texts dedicated to the study of nonlinear dynamical systems and chaos. The literature list at the end of this book contains several references for the topic.
The first edition (2001) of this title quickly established itself on courses on the philosophy of time and space. This fully revised and expanded new edition sees the addition of chapters on Zeno's paradoxes, speculative contemporary developments in physics, and dynamic time, making the second edition, once again, unrivalled in its breadth of coverage. Surveying both historical debates and the ideas of modern physics, Barry Dainton evaluates the central arguments in a clear and unintimidating way and is careful to keep the conceptual issues throughout comprehensible to students with little scientific or mathematical training. The book makes the philosophy of space and time accessible for anyone trying to come to grips with the complexities of this challenging subject. With over 100 original line illustrations and a full glossary of terms, the book has the requirements of students firmly in sight and will continue to serve as an essential textbook for philosophy of time and space courses.
This information-packed atlas combines attractive photos, diagrams, and illustrations with lucid text to present a general overview of physics, chemistry, and their relationship to each other in nature and technology. The book's many color illustrations are complemented with brief, enlightening captions that explain fundamental principles of physics and chemistry and their practical applications. Detailed diagrams explain and illustrate the structure of atoms, chemical bonds, and many other topics. A detailed index guides the reader to individual topics. Newest in Barron's series of popular illustrated science reference guides, the Essential Atlas of Physics and Chemistry explains fundamental principles of both sciences and shows how they relate to one another. Text and illustrations are combined in an easy-to-understand yet scientifically accurate context. The related concepts of energy and heat are explained in terms of their uses in both simple and complex machines. Also explained are the characteristics of liquids, gases, and solids. Other subjects covered are the characteristics of sound, light, electricity and magnetism, atomic structure, the periodic table of elements, and simple chemical reactions. Full-color photos, artwork, and diagrams on every page complement clear textual descriptions.
Plato’s view that mathematics paves the way for his philosophy of forms is well known. This book attempts to flesh out the relationship between mathematics and philosophy as Plato conceived them by proposing that in his view, although it is philosophy that came up with the concept of beings, which he calls forms, and highlighted their importance, first to natural philosophy and then to ethics, the things that do qualify as beings are inchoately revealed by mathematics as the raw materials that must be further processed by philosophy (mathematicians, to use Plato’s simile in the Euthedemus, do not invent the theorems they prove but discover beings and, like hunters who must hand over what they catch to chefs if it is going to turn into something useful, they must hand over their discoveries to philosophers). Even those forms that do not bear names of mathematical objects, such as the famous forms of beauty and goodness, are in fact forms of mathematical objects. The first chapter is an attempt to defend this thesis. The second argues that for Plato philosophy’s crucial task of investigating the exfoliation of the forms into the sensible world, including the sphere of human private and public life, is already foreshadowed in one of its branches, astronomy.
This volume offers a detailed interpretation of Plato’s texts and Platonic philosophy in its various forms and shapes as a living force in the history of philosophy, from the Hellenistic age, through the Middle Ages and Renaissance Italy, to modern England, America, Japan, and Israel. Most of the contributions here deal with the afterlife and influence of Plato’s dialogues in later Greek philosophy and in various places and periods, and approach a number of dialogues and issues from new perspectives, shedding new light on some ancient problems. These studies represent no single approach, and illustrate, in their various ways, some different methods of approaching the original and ever-surprising author that Plato has always been.
This book explores the opportunities, the potential and the hazards of Earth's immediate space environment. It covers the physical characteristics of this portion of space, the influence of deeper space, observing and forcasting tools, the problem of space debris, the evolution of satellites, the different orbits and their uses, Earth's place in the solar system and its influence on climate and weather, the sun and its action on our planet, asteroid and comets and the means to detect them, laws and regulations, the political actors and role of nations.