Best Selling Books by Pavel

This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty-five years of research activity in this area and indicates ways in which the theory can develop further. The book is fairly self-contained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field.

Profound writings by one of the twentieth century''s greatest polymaths "Perhaps the most remarkable person devoured by the Gulag" is how Alexandr Solzhenitsyn described Pavel Florensky, a Russian Orthodox mathematician, scientist, linguist, art historian, philosopher, theologian, and priest who was martyred during the Bolshevik purges of the 1930s. This volume contains eight important religious works written by Florensky in the first decade of the twentieth century, now translated into English—most of them for the first time. Splendidly interweaving religious, scientific, and literary themes, these essays showcase the diversity of Florensky''s broad learning and interests. Including reflections on the sacraments and explorations of Russian monastic culture, the volume concludes with "The Salt of the Earth," arguably Florensky''s most spiritually moving work.

ill recent years, it has become clearly recognized that many behavioural disturb ances and psychiatric illnesses are intimately associated with alterations in neuroendocrine function. This volume is designed to provide a thorough, up-to date review of our current knowledge of the neuroendocrine correlates of altered behaviour in man and experimental animals. Particular emphasis has been focused on the mechanisms which may underlie the coupling of mental functions with endocrine changes and the possible common links in the central regulation of both endocrine and psychic activities. One of the main objectives of this book is to consider both the experimental and clinical approaches in studying the interrelationship between neuroendocrine regulation and altered behaviour, and to assess its importance in the pathogenesis, diagnosis and treatment of mental disorders. The book has been organized into four major sections which focus on: (i) the role of pituitary hormones in the regulation of CNS function; (ii) the relationship between brain endorphin systems, psychotropic drugs and neuroendocrine regulation; (iii) the importance of neuroendocrine regulation in the pathogenesis of mental disorders; and (iv) biological markers of altered mental function. Each chapter is organized for ease of comprehension as well as for rapid retrieval of progress and essential information concerning the neuroendocrine basis of altered behaviour and psychiatric illnesses. The contributing authors were selected because of their widely recognized expertise in the field.

This book presents some results on selected taxa in the Himalayan region (mainly Nepal), pinpoints the threats to their survival and suggests ways how to avoid their extinction. Most chapters are based on graduate research projects – relatively long-term field studies. The data presented here can be a good source of updated information on the subject and will prove to be a very useful reference in future studies of Himalayan biodiversity. They also tend to pinpoint the existing gaps in our knowledge of this region. All the chapters are based on recent trends of biodiversity and conservation vision, so the book can be a potential alternative to the existing relatively older books with outdated vision and information. Its main goal, however, is to disseminate the information about biodiversity conservation problems in the Himalayan region among the people in the developed world.

A modern and thorough treatment of the field for upper-level undergraduate and graduate courses in materials science and chemistry.

The book presents the sum of research of an outstanding art historian Prof. Pavel Štěpánek, a specialist on Spanish and Ibero-American culture, especially the visual arts. The publication collects eleven studies that display in notable scope of topics the relations between Spanish culture and Bohemian lands. These studies covers the extensive chronological space since the Middle Ages up to 20th century. The essays also deal with wide range of visual media as architecture, painting, sculpture, drawing and also many artifacts of the “minor arts”. A reader can meet, thanks to this book, an extraordinary phenomenon of “Spanish presence” in the Central Europe. It provides also opportunity to see the Central-Europe as dynamic space of cultural exchange, artistic intersections and creative cultural adaptations.

A story of love and friendship is recounted by a man whose wife is gradually losing her memory

People have always been interested in numbers, in particular the natural numbers. Of course, we all have an intuitive notion of what these numbers are. In the late 19th century mathematicians, such as Grassmann, Frege and Dedekind, gave definitions for these familiar objects. Since then the development of axiomatic schemes for arithmetic have played a fundamental role in a logical understanding of mathematics. There has been a need for some time for a monograph on the metamathematics of first-order arithmetic. The aim of the book by Hajek and Pudlak is to cover some of the most important results in the study of a first order theory of the natural numbers, called Peano arithmetic and its fragments (subtheories). The field is quite active, but only a small part of the results has been covered in monographs. This book is divided into three parts. In Part A, the authors develop parts of mathematics and logic in various fragments. Part B is devoted to incompleteness. Part C studies systems that have the induction schema restricted to bounded formulas (Bounded Arithmetic). One highlight of this section is the relation of provability to computational complexity. The study of formal systems for arithmetic is a prerequisite for understanding results such as Gödel''s theorems. This book is intended for those who want to learn more about such systems and who want to follow current research in the field. The book contains a bibliography of approximately 1000 items.

Is there a vector space whose dimension is the golden ratio? Of course not--the golden ratio is not an integer! But this can happen for generalizations of vector spaces--objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.