الصفحة 6
الصفحة 6
Applications of random matrices in physics
Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Dyson and Wigner. Although it is an old subject, it is constantly developing into new areas of physics and mathematics. It constitutes now a part of the general culture of a theoretical physicist. Mathematical methods inspired by random matrix theory become more powerful, sophisticated and enjoy rapidly growing applications in physics. Recent examples include the calculation of universal correlations in the mesoscopic system, new applications in disordered and quantum chaotic systems, in combinatorial and growth models, as well as the recent breakthrough, due to the matrix models, in two dimensional gravity and string theory and the non-abelian gauge theories. The book consists of the lectures of the leading specialists and covers rather systematically many of these topics.
Antioxidants as nutraceuticals
Provides a comprehensive overview of antioxidants and nutraceuticals, including their sources, mechanisms of action, and health benefits, this new volume first covers the basics of the types of antioxidants as nutraceuticals, including the importance of phytochemical antioxidants and their nutritional and pharmacological intervention in the treatment of disease. It discusses the natural origins of antioxidants, classification, mechanisms of action, calculation of antioxidant potential of nutraceutical substances, safety, toxicity, and their significant involvement in the prevention of many degenerative and chronic diseases.
Analysis of Low-Speed Unsteady Airfoil Flows
This book provides an introduction to unsteady aerodynamics with emphasis on the analysis and computation of inviscid and viscous two-dimensional flows over airfoils at low speeds. It begins with a discussion of the physics of unsteady flows and an explanation of lift and thrust generation, airfoil flutter, gust response and dynamic stall. This is followed by an exposition of the four major calculation methods in currents use, namely inviscid-panel, boundary-layer, viscous-inviscid interaction and Navier-Stokes methods. Undergraduate and graduate students, teachers, scientists and engineers concerned with aeronautical, hydronautical and mechanical engineering problems will gain understanding of the physics of unsteady low-speed flows and an ability to analyze these flows with modern computational methods.
Analysis II : Differential and Integral Calculus, Fourier Series, Holomorphic Functions
Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions.It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words.
Analysis II
As with the first, the second volume contains substantially more material than can be covered in a one-semester course. Such courses may omit many beautiful and well-grounded applications which connect broadly to many areas of mathematics. We of course hope that students will pursue this material independently; teachers may find it useful for undergraduate seminars. For an overview of the material presented, consult the table of contents and the chapter introductions. As before, we stress that doing the numerous exercises is indispensable for understanding the subject matter, and they also round out and amplify the main text. In writing this volume, we are indebted to the help of many.
Analysis by Its History
This book presents first-year calculus roughly in the order in which it first was discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.
Analisi matematica I : Teoria ed esercizi con complementi in rete = Mathematical analysis I : Theory and exercises with online complements
Intends to support a first teaching of Mathematical Analysis according to the principles of the new Didactic Regulations. It is especially designed for Engineering, Computer Science, Physics. The text has three different levels of reading. An essential level allows the student to grasp the essential concepts of the subject and to familiarize himself with the related calculation techniques. An intermediate level provides justifications for the main findings and enriches the presentation with useful observations and complements. A third level of reading, based on numerous references to a virtual text available online, allows the more motivated and interested student to deepen his or her preparation on the subject. Numerous examples and exercises with solutions complete the text. The captivating 2-color graphics make this text a fundamental point of reference for the study of the discipline.
An Introduction to the Mathematics of Money : Saving and Investing
This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented.
An Introduction To Chemoinformatics
This, the first text written specifically for this field, aims to provide an introduction to the major techniques of chemoinformatics. The first part of the book deals with the representation of 2D and 3D molecular structures, the calculation of molecular descriptors and the construction of mathematical models. The second part describes other important topics including molecular similarity and diversity, the analysis of large data sets, virtual screening, and library design. Simple illustrative examples are used throughout to illustrate key concepts, supplemented with case studies from the literature.
Agitator Design for Gas-Liquid Fermenters and Bioreactors
Agitator Design for Gas-Liquid Fermenters and Bioreactors delivers a concise treatment and explanation of how to design mechanically sound agitation systems that will perform the agitation process function efficiently and economically. The book covers agitator fundamentals, impeller systems, optimum power and air flow at peak mass transfer calculations, optimizing operation for minimum energy per batch, heat transfer surfaces and calculations, shaft seal considerations, mounting methods, mechanical design, and vendor evaluation.
Advances in Brain, Vision, and Artificial Intelligence ; 2nd International Symposium, BVAI 2007, Naples, Italy, October 10-12, 2007, Proceedings
This book address the following main topics: Basic Models in Visual Sciences, Cortical Mechanism of Vision, Color Processing in Natural Vision, Action Oriented Vision, Visual Recognition and Attentive Modulation, Biometric Recognition, Image Segmentation and Recognition, Disparity Calculation and Noise Analysis, Signal Identification in Neural Models, Natural and Artificial Representation Issues in Artificial Intelligence, Meaning-Interaction-Emotion, Robot Navigation and Control.
A Short Course in Foundation Engineering
Although there are now a large number of computer programmes for solving all sorts of foundation design problems, the need to check these outputs by 'hand-calculation' has become vitally important. This book concentrates on getting the fundamentals right and then using them in practical applications. The book is illustrated with numerous worked examples and with quick-reference tables and charts.
A concise introduction to traffic engineering : theoretical fundamentals and case studies
Covers a selection of fundamental topics of traffic engineering useful for highways facilities design and control. The treatment is concise but it does not neglect to examine the most recent and crucial theoretical aspects which are at the root of numerous highway engineering applications, like, for instance, the essential aspects of highways traffic stream reliability calculation and automated highway systems control.
