What is it to be rational? This is the fundamental subject of this book as long as we concern ourselves to thinking about the physical world. It used to be thought by philosophers that rational thinking required the use of principles that are absolutes, that have universal application and require no justification. This book argues that this is not so, that such principles as are used in discussing the physical world must in some way be empirically justified. The principle of causality, for instance, as this book shows, reflects the structure of the brain's neural network as created by the process of evolution which is such that repeated inputs reinforce their relation to their effects. Therefore, it parallels in some way the structure of the physical world, at least insofar as the interactions of the latter with our cognitive system have guided the brain's evolution. This book also discusses the various attacks on science and rationality that emerged during the twentieth century, and discusses very carefully the implications on the philosophy of science of the Theory of Evolution. A very unusual feature of this book is that it contains a number of poems attached at the end of certain chapters. These poems are not the usual "science poems" that are no more than the lyrical thoughts of some poets about science. They are designed to illustrate definite events in the history of science and some of the important philosophical or theological problems associated with them.
Band Theory of Metals: The Elements focuses on the band theory of solids. The book first discusses revision of quantum mechanics. Topics include Heisenberg’s uncertainty principle, normalization, stationary states, wave and group velocities, mean values, and variational method. The text takes a look at the free-electron theory of metals, including heat capacities, density of states, Fermi energy, core and metal electrons, and eigenfunctions in three dimensions. The book also reviews the effects of crystal fields in one dimension. The eigenfunctions of the translations; symmetry operations of the linear chain; use of translational symmetry; degeneracy of the Bloch functions; and effects of inversion are described. The text also focuses on Bloch functions and Brillouin zones in three dimensions. Concerns include symmetry in the reciprocal space; scalar product and reciprocal vectors; Brillouin zones of higher order; and conditions for the faces of the Brillouin zones. The book is a good source of data for readers interested in the band theory of solids.
This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems. Geared toward upper-level undergraduates and graduate students, the book begins with chapters covering the fundamentals of symmetries, matrices, and groups, and it presents a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the geometry, topology, and algebra of rotations. Some familiarity with the basics of group theory is assumed, but the text assists students in developing the requisite mathematical tools as necessary.
Whether you agree with much of what it says or not, this is a must-read book. For it covers a huge range of topics, from quantum theory to philosophy of mind, in a delightfully challenging way that forces you to think through your own views on these topics...Overall, Altmann's book is highly recommended for a read. --Philosophy in ReviewThis unique book is magnificently written with wit and penetrating insights...bridges the gap between science and philosophy for the first time--great concepts are cleverly presented in remarkable clear prose...marvelous footnotes...great index; comprehensive bibliography. --ChoiceMathematical truths are often so compelling that some mathematicians, scientists, and philosophers posit a purely nonmaterial realm of eternal truths accessible to the mind alone. Mathematical physicist Simon Altmann carefully criticizes this revival of dualistic philosophy a la Plato in this highly stimulating book. Has mathematics and physics discovered a new supernatural world, or is this mental cosmos simply an outgrowth of natural evolutionary processes? This is the crucial philosophical issue that Altmann elucidates.Altmann provides a thorough philosophical basis to understand the meaning of natural law, the scientific method, and causality in science. He reviews the classical approach to time, space, and the laws of mechanics, and discusses the implications of relativity theory. Key modern concepts, like randomness, probability, and time's arrow are explained, and the nature of mathematics and G÷del's theorems is discussed in depth. A mystery-free treatment of quantum mechanics, Schr÷dinger's cat, and the famous Bell inequalities follows. He also assesses the reactions of various philosophical schools to these developments - idealism, physicalism, cultural relativism and social constructivism. The book concludes with a fascinating dialogue on science and belief.Educated lay readers will welcome Altmann's engaging and lucid exposition.Simon Altmann (Oxford, UK)is Emeritus Fellow at Brasenose College, University of Oxford.
The authoritative and comprehensive modern textbook on western herbal medicine - now in its second edition This long-awaited second edition of Principles and Practice of Phytotherapy covers all major aspects of herbal medicine from fundamental concepts, traditional use and scientific research through to safety, effective dosage and clinical applications. Written by herbal practitioners with active experience in clinical practice, education, manufacturing and research, the textbook is both practical and evidence based. The focus, always, is on the importance of tailoring the treatment to the individual case. New insights are given into the herbal management of approxiately 100 modern ailments, including some of the most challenging medical conditions, such as asthma, inflammatory bowel disease and other complex autoimmune and inflammatory conditions, and there is vibrant discussion around the contribution of phytotherapy in general to modern health issues, including health ageing. Fully referenced throughout, with more than 10, 000 citations, the book is a core resource for students and practitioners of phytotherapy and naturopathy and will be of value to all healthcare professionals - pharmacists, doctors, nurses - with an interest in herbal therapeutics. 50 evidence-based monographs, including 7 new herbs Rational guidance to phytotherapeutic strategies in the consulting room New appendices provide useful information on topics such as herbal actions, dosage in children and reading and interpreting herbal clinical trials Comprehensive revision of vital safety data, including an extensive herb-drug interaction chart. 50 evidence-based monographs, including 7 new herbs Rational guidance to phytotherapeutic strategies in the consulting room New appendices provide useful information on topics such as herbal actions, dosage in children and reading and interpreting herbal clinical trials Comprehensive revision of vital safety data, including an extensive herb-drug interaction chart.
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