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Why Beliefs Matter
In the follow-up to his acclaimed Science in the Looking Glass, Brian Davies discusses deep problems about our place in the world, using a minimum of technical jargon. The book argues that 'absolutist' ideas of the objectivity of science, dating back to Plato, continue to mislead generations of both theoretical physicists and theologians. It explains that the multi-layered nature of our present descriptions of the world is unavoidable, not because of anything about the world, but because of our own human natures. It tries to rescue mathematics from the singular and exceptional status that it has been assigned, as much by those who understand it as by those who do not. Working throughout from direct quotations from many of the important contributors to its subject, it concludes with a penetrating criticism of many of the recent contributions to the often acrimonious debates about science and religions.
Mumbles & Gower Pubs
A fascinating tour of Mumbles and Gower Peninsula's pub scene, charting the area's taverns, alehouses and watering holes, from past centuries to more recent times.
Heat Kernels and Spectral Theory
Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators.
The Reality of God and the Problem of Evil
An important new book on how we can still believe in a God of love and confront the problem of evil in the world. Probably the most important book on the subject since John Hick's book `Evil and the God of Love`. &; Evil is a strong word that people now employ fairly rarely. Many people believe these days that God is omnipotent,omniscient and good and that what we deem to be bad or evil in the world is no reason for abandoning belief in God. It is an intellectual or theoretical problem not one where the focus is on how one might bring about some desirable goal ( a practical matter). &; Professor Davies says we should tackle this problem by attending to the basics, by asking whether there is ...
Linear Operators and their Spectra
This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.
Spectral Theory and Differential Operators
This book is an updated version of the classic 1987 monograph "Spectral Theory and Differential Operators".The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics. This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.
Land of Lead
A fascinating volume of history, shedding light on the lead mining industry in Ceredigion which shipped from Aberystwyth, through the story of four generations of interlinked families in north Ceredigion in the 19th and 20th centuries.
Science in the Looking Glass:What Do Scientists Really Know?
How do scientific conjectures become laws? Why does proof mean different things in different sciences? Do numbers exist, or were they invented? Why do some laws turn out to be wrong?In this wide-ranging book, Brian Davies discusses the basis for scientists' claims to knowledge about the world. He looks at science historically, emphasizing not only the achievements of scientists from Galileo onwards, but also their mistakes. He rejects the claim that all scientific knowledge is provisional, by citing examples from chemistry, biology and geology. A major feature of the book is its defence of the view that mathematics was invented rather than discovered. While experience hasshown that disentangling knowledge from opinion and aspiration is a hard task, this book provides a clear guide to the difficulties.Full of illuminating examples and quotations, and with a scope ranging from psychology and evolution to quantum theory and mathematics, this book brings alive issues at the heart of all science.
