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Orthogonal Polynomials: Current Trends and Applications
The present volume contains the Proceedings of the Seventh Iberoamerican Workshop in Orthogonal Polynomials and Applications (EIBPOA, which stands for Encuentros Iberoamericanos de Polinomios Ortogonales y Aplicaciones, in Spanish), held at the Universidad Carlos III de Madrid, Leganés, Spain, from July 3 to July 6, 2018. These meetings were mainly focused to encourage research in the fields of approximation theory, special functions, orthogonal polynomials and their applications among graduate students as well as young researchers from Latin America, Spain and Portugal. The presentation of the state of the art as well as some recent trends constitute the aim of the lectures delivered in th...
Computational Science and Its Applications - ICCSA 2014
The six-volume set LNCS 8579-8584 constitutes the refereed proceedings of the 14th International Conference on Computational Science and Its Applications, ICCSA 2014, held in Guimarães, Portugal, in June/July 2014. The 347 revised papers presented in 30 workshops and a special track were carefully reviewed and selected from 1167 initial submissions. The 289 papers presented in the workshops cover various areas in computational science ranging from computational science technologies to specific areas of computational science such as computational geometry and security.
Formal and Analytic Solutions of Diff. Equations
These proceedings provide methods, techniques, different mathematical tools and recent results in the study of formal and analytic solutions to Diff. (differential, partial differential, difference, q-difference, q-difference-differential.... ) Equations. They consist of selected contributions from the conference "Formal and Analytic Solutions of Diff. Equations", held at Alcalá de Henares, Spain during September 4-8, 2017. Their topics include summability and asymptotic study of both ordinary and partial differential equations. The volume is divided into four parts. The first paper is a survey of the elements of nonlinear analysis. It describes the algorithms to obtain asymptotic expansion...
Asymptotic Methods For Integrals
This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.
Energy Issues and Transition to a Low Carbon Economy
Without energy, there is no well-functioning economy, besides facing social risks. This book provides a systemic approach to energy in Mexico and its relations to the USA arising from the energy reform of the former. It covers the transition from fossil fuels to a low-carbon economy, relying heavily on renewable sources and mitigating climate change risks. Several human knowledge disciplines and topics are covered in the book, including public policy, economics, transboundary issues, electricity and thermal energy, residual biomass use, distributed energy systems and its management, and decision-making tools. An analysis is considered regarding energy issues interaction in the Mexican-USA border, which differ in both countries from pricing and policy, and the work and research that has been developed for transboundary energy trade.
Open Veins of Latin America
[In this book, the author's] analysis of the effects and causes of capitalist underdevelopment in Latin America present [an] account of ... Latin American history. [The author] shows how foreign companies reaped huge profits through their operations in Latin America. He explains the politics of the Latin American bourgeoisies and their subservience to foreign powers, and how they interacted to create increasingly unequal capitalist societies in Latin America.-Back cover.
Hypergeometric Orthogonal Polynomials and Their q-Analogues
The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively. The fa- lies of orthogonal polynomials in these two schemes generalize the classical orth- onal polynomials (Jacobi, Laguerre and Hermite polynomials) and they have pr- erties similar to them. In fact, they have properties so similar that I am inclined (f- lowing Andrews & Askey [34]) to call all families in the (q-)Askey scheme classical orthogonal polynomials, and to call the Jacobi, Laguerre and Hermite polynomials very classical orthogonal polynomials. These very classical orthogonal polynomials are good friends of mine since - most the b...
Humanities
Beginning with volume 41 (1979), the University of Texas Press became the publisher of the Handbook of Latin American Studies, the most comprehensive annual bibliography in the field. Compiled by the Hispanic Division of the Library of Congress and annotated by a corps of more than 130 specialists in various disciplines, the Handbook alternates from year to year between social sciences and humanities. The Handbook annotates works on Mexico, Central America, the Caribbean and the Guianas, Spanish South America, and Brazil, as well as materials covering Latin America as a whole. Most of the subsections are preceded by introductory essays that serve as biannual evaluations of the literature and research under way in specialized areas. The Handbook of Latin American Studies is the oldest continuing reference work in the field. Lawrence Boudon became the editor in 2000. The subject categories for Volume 58 are as follows: Electronic Resources for the Humanities Art History (including ethnohistory) Literature (including translations from the Spanish and Portuguese) Philosophy: Latin American Thought Music
Classical Orthogonal Polynomials of a Discrete Variable
While classical orthogonal polynomials appear as solutions to hypergeometric differential equations, those of a discrete variable emerge as solutions of difference equations of hypergeometric type on lattices. The authors present a concise introduction to this theory, presenting at the same time methods of solving a large class of difference equations. They apply the theory to various problems in scientific computing, probability, queuing theory, coding and information compression. The book is an expanded and revised version of the first edition, published in Russian (Nauka 1985). Students and scientists will find a useful textbook in numerical analysis.
