Lectures on the Theory of Integration

Lectures on the Theory of Integration

Author: Ralph Henstock

Publisher: World Scientific

Published: 1988

Total Pages: 224

ISBN-13: 9789971504519

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This book is intended to be self-contained, giving the theory of absolute (equivalent to Lebesgue) and non-absolute (equivalent to Denjoy-Perron) integration by using a simple extension of the Riemann integral. A useful tool for mathematicians and scientists needing advanced integration theory would be a method combining the ideas of the calculus of indefinite integral and Riemann definite integral in such a way that Lebesgue properties can be proved easily.Three important results that have not appeared in any other book distinguish this book from the rest. First a result on limits of sequences under the integral sign, secondly the necessary and sufficient conditions for the various limits under the integral sign and thirdly the application of these results to ordinary differential equations. The present book will give non-absolute integration theory just as easily as the absolute theory, and Stieltjes-type integration too.


Multivariate Approximation and Splines

Multivariate Approximation and Splines

Author: Günther Nürnberger

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 329

ISBN-13: 3034888716

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This book contains the refereed papers which were presented at the interna tional conference on "Multivariate Approximation and Splines" held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fit ting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of mul the paper of BABENKO, KOFANovand tivariate periodic functions are derived in PICHUGOV. These inequalities are applied to the approximation of classes of mul tivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for non linear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem.


Static Analysis

Static Analysis

Author: Radhia Cousot

Publisher: Springer Science & Business Media

Published: 2010-09-09

Total Pages: 482

ISBN-13: 3642157688

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This book constitutes the refereed proceedings of the 16th International Symposium on Static Analysis, SAS 2010, held in Perpignan, France in September 2010. The conference was co-located with 3 affiliated workshops: NSAD 2010 (Workshop on Numerical and Symbolic Abstract Domains), SASB 2010 (Workshop on Static Analysis and Systems Biology) and TAPAS 2010 (Tools for Automatic Program Analysis). The 22 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 58 submissions. The papers address all aspects of static analysis including abstract domains, bug detection, data flow analysis, logic programming, systems analysis, type inference, cache analysis, flow analysis, verification, abstract testing, compiler optimization and program verification.


The Challenge of Facework

The Challenge of Facework

Author: Stella Ting-Toomey

Publisher: SUNY Press

Published: 1994-01-01

Total Pages: 368

ISBN-13: 9780791416334

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This book addresses the cross-cultural variations in the conceptions of face and facework from a multidisciplinary communication perspective. Facework represents one of the most important theoretical concepts available to us in contemporary communication literature as it encompasses a dynamic network of cross-cultural, social cognitive, affective, interpersonal, interactional, and identity issues. The book serves a dual purpose: to raise issues and to extend some of the current ideas in face and facework research in the cross-cultural and interpersonal communication settings, and to illuminate some specific directions for future research into the face and facework management process. Face and facework are presented in conjunction with phenomena such as politeness, request interaction, embarrassment, conflict, business negotiation, and international diplomacy.


Author:

Publisher: John Wiley & Sons

Published:

Total Pages: 1062

ISBN-13: 1394274459

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Introduction to Optimization for Chemical and Environmental Engineers

Introduction to Optimization for Chemical and Environmental Engineers

Author: Louis Theodore

Publisher: CRC Press

Published: 2018-07-20

Total Pages: 324

ISBN-13: 1351037374

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"The authors—a chemical engineer and a civil engineer—have complimented each other in delivering an introductory text on optimization for engineers of all disciplines. It covers a host of topics not normally addressed by other texts. Although introductory in nature, it is a book that will prove invaluable to me and my staff, and belongs on the shelves of practicing environmental and chemical engineers. The illustrative examples are outstanding and make this a unique and special book." —John D. McKenna, Ph.D., Principal, ETS, Inc., Roanoke, Virginia "The authors have adeptly argued that basic science courses—particularly those concerned with mathematics—should be taught to engineers by engineers. Also, books adopted for use in such courses should also be written by engineers. The readers of this book will acquire an understanding and appreciation of the numerous mathematical methods that are routinely employed by practicing engineers. Furthermore, this introductory text on optimization attempts to address a void that exists in college engineering curricula. I recommend this book without reservation; it is a library ‘must’ for engineers of all disciplines." —Kenneth J. Skipka, RTP Environmental Associates, Inc., Westbury, NY, USA Introduction to Optimization for Chemical and Environmental Engineers presents the introductory fundamentals of several optimization methods with accompanying practical engineering applications. It examines mathematical optimization calculations common to both environmental and chemical engineering professionals, with a primary focus on perturbation techniques, search methods, graphical analysis, analytical methods, linear programming, and more. The book presents numerous illustrative examples laid out in such a way as to develop the reader’s technical understanding of optimization, with progressively difficult examples located at the end of each chapter. This book serves as a training tool for students and industry professionals alike. FEATURES Examines optimization concepts and methods used by environmental and chemical engineering practitioners. Presents solutions to real-world scenarios/problems at the end of each chapter. Offers a pragmatic approach to the application of mathematical tools to assist the reader in grasping the role of optimization in engineering problem-solving situations. Provides numerous illustrative examples. Serves as a text for introductory courses, or as a training tool forindustry professionals.


Classical Dynamics: A Modern Perspective

Classical Dynamics: A Modern Perspective

Author: E C George Sudarshan

Publisher: World Scientific Publishing Company

Published: 2015-10-08

Total Pages: 612

ISBN-13: 9814713899

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Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics.Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory.This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.


TeX Reference Manual

TeX Reference Manual

Author: David Bausum

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 397

ISBN-13: 1461509416

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"This is a good reference for people who have a bit of plain TeX under their belts, as the examples mix primitives and plain rather freelyIt is worth having in your reference library, particularly if you use plainTeX, or have to delve into TeX's innards for any reason." (Stephen Moye, American Mathematical Society).


Symbolic and Quantitative Approaches to Reasoning with Uncertainty

Symbolic and Quantitative Approaches to Reasoning with Uncertainty

Author: Khaled Mellouli

Publisher: Springer

Published: 2007-09-14

Total Pages: 927

ISBN-13: 3540752560

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This book constitutes the refereed proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2007. Coverage in the 78 revised full papers, presented together with three invited papers, includes Bayesian networks, graphical models, learning causal networks, planning, causality and independence, preference modeling and decision, argumentation systems, inconsistency handling, and uncertainty measures.


Structures On Manifolds

Structures On Manifolds

Author: Masahiro Kon

Publisher: World Scientific

Published: 1985-02-01

Total Pages: 520

ISBN-13: 9814602809

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Contents: Riemannian ManifoldsSubmanifolds of Riemannian ManifoldsComplex ManifoldsSubmanifolds of Kaehlerian ManifoldsContact ManifoldsSubmanifolds of Sasakian Manifoldsf-StructuresProduct ManifoldsSubmersions Readership: Mathematicians. Keywords:Riemannian Manifold;Submanifold;Complex Manifold;Contact Manifold;Kaehlerian Manifold;Sasakian Manifold;Anti-Invariant Submanifold;CR Submanifold;Contact CR Submanifold;Submersion