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Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques. This book redevelops these previous results demonstrating how they can be derived directly from the basic properties of theta functions as functions on compact Riemann surfaces. "Generalizations of Thomae's Formula for Zn Curves" includes several refocused proofs developed in a generalized context that is more accessible to researchers in related mathematical fields such as algebraic geometry, complex analysis, and number theory. This book is intended for mathematicians with an interest in complex analysis, algebraic geometry or number theory as well as physicists studying conformal field theory.
This broad and thought-provoking volume provides an overview of recent intellectual and scientific advances that intersect psychiatry and neuroscience, offering a wide range of penetrating insights in both disciplines. The fourth volume on the topic in the last several years from a varying panel of international experts identifies the borders, trends and implications in both fields today and goes beyond that into related disciplines to seek out connections and influences. Similar to its three Update book predecessors, Psychiatry and Neuroscience – Volume IV presents a range of interesting topics in the main disciplines – psychiatry and neuroscience – and attempts to provide deeper comp...
Organic Functional Group Preparations, Volume III describes 13 organic functional groups and presents a critical review of their available methods of synthesis with preparative examples of each. The book puts special attention to the presentation of specific laboratory directions for the many name reactions used in describing the synthesis of these functional groups. Each chapter deals with the preparation of a given functional group by various reaction types (condensation, elimination, oxidation, reduction) and a variety of starting materials. Acetals and ketals, anhydrides, and thiohydroxamic acids are some of the organic functional groups described in the text. Organic chemists will find the book invaluable.
Human aging is perhaps the most complex and important subject that will be facing science and societies in the next century. Persons seem to be living longer and remaining more active than their parents and grandparents. This is leading to social and demographic shifts that must be accommodated by society. On the other hand it presents perplexing questions about the underlying processes and determinants of healthy aging. This book gives a design for research that will increase our understanding of the factors that influence healthy aging and can lead to improvements in reducing the levels of disability in the population. It's focus is on biobehavioural and psychological factors contributing ...
Many health care providers are frequently dealing with problems related to the identification and interpretation of medicines and prescriptions of foreign origin. Health authorities, customs and travel agencies also encounter such problems, which are related to the increasing mobility of the European population. Thus the need for a European Drug Index is obvious. The EDI provides extended information for practitioners confronted with the enormous number of drug names available on the European pharmaceutical market. This market is increasing due to the rapidly changing palette of countries and economic restrictions in Europe. The listings have been derived from drug data sources from the increased number of participating countries in this second edition. Each item starts with a trade name, in alphabetical order, followed by (depending on the original source) dosage forms, strength, volume (if applicable), and generic name(s) of the active principle(s) in a random sequence. The item is concluded by the Anatomical Therapeutic Chemical (ATC) classification (when made available by the original source) and a code for the country of origin.
Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter: the interconnections between set theory and mathematical statements and proofs; the fundamental axioms of the natural, integer, and real numbers; rigorous ε-N and ε-δ definitions; convergence and properties of an infinite series, product, or continued fraction; series, product, and continued fraction formulæ for the various elementary functions and constants. Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.
How do people narrate events in their life story and in the history of their family or families when making a self-presentation? How are narratives and experiences in the present related to experiences and narratives in the past? This book answers these questions with a theoretical and empirical study of the interconnections between remembering, experiencing, and presenting what was experienced, at different points of the life course and of the associated collective histories. It also discusses rules for conducting interviews that support processes of remembering, and for carrying out an analysis that does justice to this dialectic. The author exploits ideas from phenomenology and Gestalt theory in this book, which has become a classic. Since its first publication in 1995, she has increasingly taken inspiration from the figurational sociology of Norbert Elias. Accordingly, this English edition contains a new introduction and a new chapter on this later expansion of her approach to sociological biographical research.
A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.