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Maths Advanced Higher
This is a collection of the 2002-2005 official SQA past papers for Advanced Higher mathematics. A comprehensive answer section shows exactly what examiners are looking for and how to aim for the best grade.
Light
The book is aiming, programmatically, at showing that both in science and religious thinking the basic space-time entity is ultimately built and defined by light. In this sense, the book is emphasizing the unique role of light in understanding the world around us. The approach is based on the belief that science and religion represent two very different modes of addressing reality, both of them being relevant to us as human beings.
The language of science and religion and the answers they each give to the same questions differ due to the elementary postulates on which they are built. A dialogue and debate in the classical sense is, therefore, meaningless. This is why the book has a...
The art of experimental natural history
Francis Bacon introduced his contemporaries to a new way of investigating nature. He called it "natural and experimental history." Despite its rather traditional name, Bacon's natural and experimental history was a new discipline: it comprised new ideas, new practices and new models of collaborative research. This new discipline was, in many ways, a surprisingly successful project. It provided early modern naturalists with tools, methods and models for both investigating nature and writing about their subject. It also offered a set of norms and values for guiding research. And yet, this new discipline was not a science of nature -- it was more like an art. This book aims to trace the emergence, evolution and reception of Francis Bacon's art of experimental natural history.
Zeta and L-Functions of Varieties and Motives
Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.
Ten Physical Applications of Spectral Zeta Functions
Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice, for example in the Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, and non-commutative spacetime. The formulae, some of which are new, can be directly applied in creating physically meaningful, accurate numerical calculations. The book acts both as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice. Thoroughly revised, updated and expanded, this new edition includes novel, explicit formulas on the general quadratic, the Chowla-Selberg series case, an interplay with the Hadamard calculus, and also features a fresh chapter on recent cosmological applications, including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models.
Phenomenology and Media
During the first decade of its existence, from 1999 to 2008, the Society for Phenomenology and Media held annual international conferences in San Diego (California), Puebla (Mexico), Krakow (Poland), Helsinki (Finland), Buenos Aires (Argentina), Provo (Utah), and Monmouth (Oregon). Papers delivered at these conferences were published in the Society's journal, Glimpse. The current volume is an anthology of essays drawn from the first ten years of Glimpse. From its birth, the Society sought to bridge the gap between contemporary media theory and practice and phenomenological insight. Essays in this anthology include work on digital representation, film, mobile communication, cyberspace, medieval manuscripts, print, radio, the stage, TV, virtual reality, and other media, as well as theoretical papers dealing with media aesthetics, epistemology, ethics, politics, and ontology.
Memory, Humanity, and Meaning
On the 23rd of August 2008, Professor Andrei Pleşu has marked his sixtieth birthday. In view of his distinguished service to the public welfare and his manifold contributions to academic life, the editors of this volume have invited a number of Romanian and international scholars to celebrate this event with a Festschrift. Colleagues, friends, and former students of Andrei Pleşu joined together to offer a critical appreciation of his understanding of culture in today’s world. The participants in this volume explore the continuing debates around the place of philosophy, politics, aesthetics, ethics, and religion in shaping the identity of Western civilization. CONTENTS Acknowledgements Bi...
The Lerch zeta-function
The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the first book containing both analytic and probability theory of Lerch zeta-functions. The book starts with classical analytical theory (Euler gamma-functions, functional equation, mean square). The majority of the presented results are new: on approximate functional equations and its applications and on zero distribution (zero-free regions, number of nontrivial zeros etc). Special attention is given to limit theorems in the sense of the weak convergence of probability measures for the Lerch zeta-function. From limit theorems in the space of analytic functions the universitality and functional independence is derived. In this respect the book continues the research of the first author presented in the monograph Limit Theorems for the Riemann zeta-function. This book will be useful to researchers and graduate students working in analytic and probabilistic number theory, and can also be used as a textbook for postgraduate students.
Zeta Potential in Colloid Science
Zeta Potential in Colloid Science: Principles and Applications covers the concept of the zeta potential in colloid chemical theory. The book discusses the charge and potential distribution at interfaces; the calculation of the zeta potential; and the experimental techniques used in the measurement of electrokinetic parameters. The text also describes the electroviscous and viscoelectric effects; applications of the zeta potential to areas of colloid science; and the influence of simple inorganic ions or more complex adsorbates on zeta potential. Physical chemists and people involved in the study of colloid science will find the book useful.
In Pursuit of Zeta-3
"For centuries, mathematicians have tried, and failed, to solve the zeta-3 problem. This problem is simple in its formulation, but remains unsolved to this day, despite the attempts of some of the world's greatest mathematicians to solve it. The problem can be stated as follows: is there a simple symbolic formula for the following sum: 1+(1/2)^3+(1/3)^3+(1/4)^3+...? Although it is possible to calculate the approximate numerical value of the sum (for those interested, it's 1.20205...), there is no known symbolic expression. A symbolic formula would not only provide an exact value for the sum, but would allow for greater insight into its characteristics and properties. The answers to these que...
