الصفحة 6
الصفحة 6
Groupes et algèbres de Lie : Chapitre 1 = Lie groups and algebras : Chapter 1
Nicolas BOURBAKI's Elements of Mathematics aim to provide a rigorous, systematic and un-prerequisite presentation of mathematics from their foundations. This ninth chapter of the Book on Groups and Lie Algebras, ninth Book of the treatise, includes the paragraphs, Compact Lie Algebras ; Maximum tori of compact Lie groups; Compact fromes of complex semi-simple Lie algebras; Root system associated with a compact group; Conjugation classes; Integration into compact Lie groups; Irreducible representations of connected compact Lie groups; Fourier transformation; Operation of compact Lie groups on manifolds.
Graph theory
Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly due to its role as an essential structure underpinning modern applied mathematics – computer science, combinatorial optimization, and operations research in particular – but also to its increasing application in the more applied sciences. The versatility of graphs makes them indispensable tools in the design and analysis of communication networks, for instance. The primary aim of this book is to present a coherent introduction to the subject, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated, and a wealth of exercises - of varying levels of difficulty - are provided to help the reader master the techniques and reinforce their grasp of the material.
Glass Construction Manual
Presents the current state of the art on planning and building with glass, from the history through the technical foundations all the way to the most innovative applications. Astonishing perspectives on thermal insulation and solar protection and the addition of thoughtfully selected new practical examples round off this comprehensive reference work. Glass constructions in detail – all mounting methods are systematically depicted with detail drawings. Contains laws and guidelines, with the new EU norms
Geometry of Müntz Spaces and Related Questions
Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present the known theorems and prove new results concerning, for example, the isomorphic and isometric classification and the existence of bases in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the reader is familiar with basic functional analysis. In the first part of the book the Banach spaces notions are systematically introduced and are later on applied for Muentz spaces. They include the opening and inclination of subspaces, bases and bounded approximation properties and versions of universality.
Genetic Democracy : Philosophical Perspectives
GENETIC DEMOCRACY involves an in-depth analysis of the ethical, social and philosophical issues related to modern genetic research and gene technology. The aim of the book is to introduce systematic research on the social and ethical impacts of the use and development of genetically modified organisms (GMOs) as well as the acquisition, use and storage of human genetic information (HGI). The book contributes into enhancing public discussion and reaching fair and democratic decision-making practices in GMO and HGI use and development both on local and global level.
Galois Theory
Classical Galois theory is a subject generally acknowledged to be one of the most central and beautiful areas in pure mathematics. This text develops the subject systematically and from the beginning, requiring of the reader only basic facts about polynomials and a good knowledge of linear algebra.The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. While most of the book is concerned with finite extensions, it concludes with a discussion of the algebraic closure and of infinite Galois extensions.
Galling Arthropods and Their Associates ; Ecology and Evolution
The book addresses recent developments in the ecology, evolution, systematics, physiology, and biodiversity of gall-inducing arthropods, with individual contri butions ranging in scope from detailed descriptions to profoundly synthetic stud ies. One underlying theme of the book is the various impacts of gall induction that indirectly affect insect communities on the host plant. The other important contri bution is the highly intricate and dynamic interactions between galling arthropods and their uniquely specialized host plants. Included also are chapters that discuss biodiversity and distribution patterns of gall-inducing arthropods, and biological control of invasive gall-inducing arthropods and of invasive trees. We believe that this book makes an important contribution to the knowledge of galling arthropods and their associates and to the development of robust, general principles of the ecology and evolution of these organisms.
Fuzzy portfolio optimization : Theory and methods
This is the first monograph on fuzzy portfolio optimization. By using fuzzy mathematical approaches, quantitative analysis, qualitative analysis, the experts' knowledge and the investors' subjective opinions can be better integrated into portfolio selection models. The contents of this book mainly comprise of the authors' research results for fuzzy portfolio selection problems in recent years. In addition, in the book, the authors introduce some other important progress in the field of fuzzy portfolio optimization. Some fundamental issues and problems of portfolio selection have been studied systematically and extensively by the authors to apply fuzzy systems theory and optimization methods. A new framework for investment analysis is presented in this book. A series of portfolio selection models are given and some of them are more efficient for practical applications. Some application examples are given to illustrate those models.
Fuzzy mathematical programming and fuzzy matrix games
This book presents a systematic and focused study of the application of fuzzy sets to two basic areas of decision theory, namely Mathematical Programming and Matrix Game Theory. Apart from presenting most of the basic results available in the literature on these topics, the emphasis is on understanding their natural relationship in a fuzzy environment
Fuzzy Logic in Financial Analysis
This volume systematically sets out the basic elements on which to base financial analysis for business in the new century. It incorporates a previous work that can serve as the basis and foundation to the new contributions that are now being made in the field of financial economy and intend to provide business with instruments and models that are suitable for the treatment of the new economic context.
Fundamentals of Structural Dynamics
Explains foundational concepts and principles surrounding the theory of vibrations and gives equations of motion for complex systems. The book presents classical vibration theory in a clear and systematic way, detailing original work on vehicle-bridge interactions and wind effects on bridges. Chapters give an overview of structural vibrations, including how to formulate equations of motion, vibration analysis of a single-degree-of-freedom system, a multi-degree-of-freedom system, and a continuous system, the approximate calculation of natural frequencies and modal shapes, and step-by-step integration methods. Each chapter includes extensive practical examples and problems.
Fundamentals of Radiation Materials Science : Metals and Alloys
adiation Materials Science teaches readers the fundamentals of the effects of radiation on metals and alloys. When energetic particles strike a solid, numerous processes occur that can change the physical and mechanical properties of the material. Metals and alloys represent an important class of materials that, by virtue of their use in nuclear reactor cores, are subject to intense radiation fields. Radiation causes metals and alloys to swell, distort, blister, harden, soften and deform. This textbook and reference covers the basics of particle-atom interaction for a range of particle types, the amount and spatial extent of the resulting radiation damage, the physical effects of irradiation and the changes in mechanical behavior of irradiated metals and alloys. Concepts are developed systematically and quantitatively, supported by examples, references for further reading and problems at the end of each chapter
Fundamentals of analytical chemistry ; 10th ed.
Presents the latest developments in analytical chemistry today using a reader-friendly yet systematic and thorough approach. Each chapter begins with a compelling story and stunning visuals. Dynamic photos from renowned chemistry photographer Charlie Winters capture attention while reinforcing key principles. New features highlight chemistry-related careers. You also learn how to use Excel 2019 as a problem-solving tool in analytical chemistry with new exercises, examples and a no-cost supplement by the text authors. OWLv2 online homework tool is also available to help you master the principles of analytical chemistry today.
Fundamentals in Nuclear Physics : From Nuclear Structure to Cosmology
Explores nuclear physics and its applications ranging from the structure of nuclei and their reactions, to astrophysics and cosmology. The physics is introduced with arguments based on simple ideas such as the empirical structure of nuclear forces and its interplay with the Pauli principle and Coulomb repulsion. The book then develops elementary nuclear models and illustrates nuclear systematics with experimental data. Reactions and decays are discussed both phenomenologically and from the point of view of fundamental electro-weak interaction theory. The discussions of fission and fusion emphasize nuclear energy production. This leads directly into nuclear astrophysics and nucleosynthesis. The book ends with a presentation of the latest ideas about cosmology. As a primer this course will lay the foundations for more specialized subjects within the vast domain of nuclear physics as a whole. This book emerged from a series of topical courses the authors delivered at the Ecole Polytechnique and will be useful for advanced undergraduates and for scientists in a variety of fields.
Functions de variable réelle : Théorie élémentaire = Real variable functions : Elementary theory
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This Book is the fourth of the treaty; it is devoted to the basics of real analysis. It includes the chapters: Derivatives; Primitive and integral; Elementary functions; Differential equations ; Local study of functions; Generalized Taylorian developments. Euler-Maclaurin summation formula; The gamma function. It also contains historical notes.
Frontiers of Optical Spectroscopy ; Investigating Extreme Physical Conditions with Advanced Optical Techniques
Advanced spectroscopic techniques allow the probing of very small systems and very fast phenomena, conditions that can be considered "extreme" at the present status of our experimentation and knowledge. Quantum dots, nanocrystals and single molecules are examples of the former and events on the femtosecond scale examples of the latter. The purpose of this book is to examine the realm of phenomena of such extreme type and the techniques that permit their investigations. Each author has developed a coherent section of the program starting at a somewhat fundamental level and ultimately reaching the frontier of knowledge in the field in a systematic and didactic fashion. The formal lectures are complemented by additional seminars.
Frontiers of Computational Science ; Proceedings of the International Symposium on Frontiers of Computational Science 2005
With the dramatic increase in speed and capacity of modern computers, computational approaches are becoming of crucial importance in various fields of science and engineering. Computational science is the interdisciplinary science, which promotes systematic development of methodologies and framework of computational approaches, basic studies of algorithms and soft-computation technologies and vast areas of applications. This volume is the proceedings of International Symposium on Frontiers of Computational Science 2005, containing papers from 7 plenary and keynote lecturers, 17 invited lecturers and 33 contributed papers. This book discusses the high-level use of computers in a wide variety of areas such as fluid mechanics, material and genome sciences.
From the Act of Judging to the Sentence : The Problem of Truth Bearers from Bolzano to Tarski
This book offers a detailed study of the truth-bearers problem, that is, the question of which category of items the predicates ‘true’ and ‘false’ are predicated. The book has two dimensions: historical and systematic. Both focus around Tarski’s semantic theory of truth. The author locates Tarski’s ideas in a broad context of Austrian philosophy, in particular, Brentano’s tradition. However, Bolzano and phenomenology (Husserl and Reinach) are also taken into account. The historical perspective is completed by showing how Tarski was rooted in Polish philosophical tradition originated with Twardowski and his version of Brentanism. The historical considerations are the basis for showing how the idea of truth-bearers as acts of judging was transformed into the theory of truth-bearers as sentences. In particular, the author analyses the way to nominalism in Polish philosophy, culminating in Lesniewski, Kotarbinski and Tarski. This book is indispensable for everybody interested in the evolution of Austrian philosophy from descriptive psychology to semantics.
Frobenius Splitting Methods in Geometry and Representation Theory
The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments.
Free Convection Film Flows and Heat Transfer
This book presents recent developments in systematic studies of hydrodynamics and heat and mass transfer in laminar free convection, accelerating film boiling and condensation of Newtonian fluids, as well as accelerating film flow of non-Newtonian power-law fluids (FFNF). A novel system of analysis models is provided with a developed velocity component method, instead of traditional Falkner-Skan type transformation, and a system of models for treatment of variable thermophysical properties is presented with an innovative temperature parameter method that makes it easier to similarly treat related governing differential equations for consideration of fluid variable thermophysical properties. A pseudo-similarity method is applied for dealing with thermal boundary layer of FFNF, furthermore, with an induced local Prandtl number, which greatly simplifies the heat-transfer analysis and numerical calculation.
