0
Your cart

Your cart is empty

Browse All Departments
Price
  • R250 - R500 (1)
  • R500+ (976)
  • -
Status
Format
Author / Contributor
Publisher

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations

Evolutionary Optimization (Paperback, Softcover reprint of the original 1st ed. 2002): Ruhul Sarker, Masoud Mohammadian, Xin Yao Evolutionary Optimization (Paperback, Softcover reprint of the original 1st ed. 2002)
Ruhul Sarker, Masoud Mohammadian, Xin Yao
R4,390 Discovery Miles 43 900 Ships in 10 - 15 working days

Evolutionary computation techniques have attracted increasing att- tions in recent years for solving complex optimization problems. They are more robust than traditional methods based on formal logics or mathematical programming for many real world OR/MS problems. E- lutionary computation techniques can deal with complex optimization problems better than traditional optimization techniques. However, most papers on the application of evolutionary computation techniques to Operations Research /Management Science (OR/MS) problems have scattered around in different journals and conference proceedings. They also tend to focus on a very special and narrow topic. It is the right time that an archival book series publishes a special volume which - cludes critical reviews of the state-of-art of those evolutionary com- tation techniques which have been found particularly useful for OR/MS problems, and a collection of papers which represent the latest devel- ment in tackling various OR/MS problems by evolutionary computation techniques. This special volume of the book series on Evolutionary - timization aims at filling in this gap in the current literature. The special volume consists of invited papers written by leading - searchers in the field. All papers were peer reviewed by at least two recognised reviewers. The book covers the foundation as well as the practical side of evolutionary optimization.

Optimization Software Class Libraries (Paperback, Softcover reprint of the original 1st ed. 2003): Stefan Voss, David L.... Optimization Software Class Libraries (Paperback, Softcover reprint of the original 1st ed. 2003)
Stefan Voss, David L. Woodruff
R4,618 Discovery Miles 46 180 Ships in 10 - 15 working days

Optimization problems in practice are diverse and evolve over time, giving rise to - quirements both for ready-to-use optimization software packages and for optimization software libraries, which provide more or less adaptable building blocks for app- cation-specific software systems. In order to apply optimization methods to a new type of problem, corresponding models and algorithms have to be "coded" so that they are accessible to a computer. One way to achieve this step is the use of a mod- ing language. Such modeling systems provide an excellent interface between models and solvers, but only for a limited range of model types (in some cases, for example, linear) due, in part, to limitations imposed by the solvers. Furthermore, while m- eling systems especially for heuristic search are an active research topic, it is still an open question as to whether such an approach may be generally successful. Modeling languages treat the solvers as a "black box" with numerous controls. Due to variations, for example, with respect to the pursued objective or specific problem properties, - dressing real-world problems often requires special purpose methods. Thus, we are faced with the difficulty of efficiently adapting and applying appropriate methods to these problems. Optimization software libraries are intended to make it relatively easy and cost effective to incorporate advanced planning methods in application-specific software systems. A general classification provides a distinction between callable packages, nume- cal libraries, and component libraries.

Potential Function Methods for Approximately Solving Linear Programming Problems: Theory and Practice (Paperback, Softcover... Potential Function Methods for Approximately Solving Linear Programming Problems: Theory and Practice (Paperback, Softcover reprint of the original 1st ed. 2002)
Daniel Bienstock
R2,827 Discovery Miles 28 270 Ships in 10 - 15 working days

Potential Function Methods For Approximately Solving Linear Programming Problems breaks new ground in linear programming theory. The book draws on the research developments in three broad areas: linear and integer programming, numerical analysis, and the computational architectures which enable speedy, high-level algorithm design. During the last ten years, a new body of research within the field of optimization research has emerged, which seeks to develop good approximation algorithms for classes of linear programming problems. This work both has roots in fundamental areas of mathematical programming and is also framed in the context of the modern theory of algorithms. The result of this work, in which Daniel Bienstock has been very much involved, has been a family of algorithms with solid theoretical foundations and with growing experimental success. This book will examine these algorithms, starting with some of the very earliest examples, and through the latest theoretical and computational developments.

Network Interdiction and Stochastic Integer Programming (Paperback, Softcover reprint of the original 1st ed. 2003): David L.... Network Interdiction and Stochastic Integer Programming (Paperback, Softcover reprint of the original 1st ed. 2003)
David L. Woodruff
R1,476 Discovery Miles 14 760 Ships in 10 - 15 working days

On March 15, 2002 we held a workshop on network interdiction and the more general problem of stochastic mixed integer programming at the University of California, Davis. Jesus De Loera and I co-chaired the event, which included presentations of on-going research and discussion. At the workshop, we decided to produce a volume of timely work on the topics. This volume is the result. Each chapter represents state-of-the-art research and all of them were refereed by leading investigators in the respective fields. Problems - sociated with protecting and attacking computer, transportation, and social networks gain importance as the world becomes more dep- dent on interconnected systems. Optimization models that address the stochastic nature of these problems are an important part of the research agenda. This work relies on recent efforts to provide methods for - dressing stochastic mixed integer programs. The book is organized with interdiction papers first and the stochastic programming papers in the second part. A nice overview of the papers is provided in the Foreward written by Roger Wets.

Analysis and Optimization of Systems - Proceedings of the Fifth International Conference on Analysis and Optimization of... Analysis and Optimization of Systems - Proceedings of the Fifth International Conference on Analysis and Optimization of Systems Versailles, December 14-17, 1982 (English, French, Paperback, 1982 ed.)
Alain Bensoussan, J.L. Lions
R1,767 Discovery Miles 17 670 Ships in 10 - 15 working days

INRIA, Institut National de Recherche en Informatique et en Automatique

Nonsmooth Analysis and Control Theory (Paperback, Softcover reprint of the original 1st ed. 1998): Francis H. Clarke, Yuri S.... Nonsmooth Analysis and Control Theory (Paperback, Softcover reprint of the original 1st ed. 1998)
Francis H. Clarke, Yuri S. Ledyaev, Ronald J. Stern, Peter R. Wolenski
R3,365 Discovery Miles 33 650 Ships in 10 - 15 working days

A clear and succinct presentation of the essentials of this subject, together with some of its applications and a generous helping of interesting exercises. Following an introductory chapter with a taste of what is to come, the next three chapters constitute a course in nonsmooth analysis and identify a coherent and comprehensive approach to the subject, leading to an efficient, natural, and powerful body of theory. The whole is rounded off with a self-contained introduction to the theory of control of ordinary differential equations. The authors have incorporated a number of new results which clarify the relationships between the different schools of thought in the subject, with the aim of making nonsmooth analysis accessible to a wider audience. End-of-chapter problems offer scope for deeper understanding.

Introduction to Mathematical Systems Theory - A Behavioral Approach (Paperback, Softcover reprint of the original 1st ed.... Introduction to Mathematical Systems Theory - A Behavioral Approach (Paperback, Softcover reprint of the original 1st ed. 1998)
J.C. Willems, J.W. Polderman
R2,429 Discovery Miles 24 290 Ships in 10 - 15 working days

Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.

Analysis and Optimization of Differential Systems - IFIP TC7 / WG7.2 International Working Conference on Analysis and... Analysis and Optimization of Differential Systems - IFIP TC7 / WG7.2 International Working Conference on Analysis and Optimization of Differential Systems, September 10-14, 2002, Constanta, Romania (Paperback, Softcover reprint of the original 1st ed. 2003)
Viorel Barbu, Irena Lasiecka, Dan Tiba, Constantin Varsan
R3,004 Discovery Miles 30 040 Ships in 10 - 15 working days

Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to differential equations and related optimization problems. These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering. This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.

System Modelling and Optimization - Methods, Theory and Applications. 19th IFIP TC7 Conference on System Modelling and... System Modelling and Optimization - Methods, Theory and Applications. 19th IFIP TC7 Conference on System Modelling and Optimization July 12-16, 1999, Cambridge, UK (Paperback, 2000 ed.)
M.J.D. Powell, S. Scholtes
R4,367 Discovery Miles 43 670 Ships in 10 - 15 working days

System Modelling and Optimization covers research issues within systems theory, optimization, modelling, and computing. It includes contributions to structural mechanics, integer programming, nonlinear programming, interior point methods, dynamical systems, stability analysis, stochastic optimization, bilevel optimization, and semidefinite programming. Several survey papers written by leading experts in their fields complement new developments in theory and applications. This book contains most of the invited papers and a few carefully selected submitted papers that were presented at the 19th IFIP TC7 Conference on System Modelling and Optimization, which was held in Cambridge, England, from July 12 to 16, 1999, and sponsored by the International Federation for Information Processing (IFIP).

Structure of Solutions of Variational Problems (Paperback, 2013 ed.): Alexander J Zaslavski Structure of Solutions of Variational Problems (Paperback, 2013 ed.)
Alexander J Zaslavski
R1,398 Discovery Miles 13 980 Ships in 10 - 15 working days

aiStructure of Solutions of Variational Problems is devoted to recent progress made in the studies of the structure of approximate solutions of variational problems considered on subintervals of a real line. Results on properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals are presented in a clear manner. Solutions, new approaches, techniques and methods to a number of difficult problems in the calculus of variations are illustrated throughout this book. This book also contains significant results and information about the turnpike property of the variational problems. This well-known property is a general phenomenon which holds for large classes of variational problems. The author examines the following in relation to the turnpike property in individual (non-generic) turnpike results, sufficient and necessary conditions for the turnpike phenomenon as well as in the non-intersection property for extremals of variational problems. This book appeals to mathematicians working in optimal control and the calculus as well as with graduate students.aiaiai

Principles of Optimal Control Theory (Paperback, Softcover reprint of the original 1st ed. 1978): R. Gamkrelidze Principles of Optimal Control Theory (Paperback, Softcover reprint of the original 1st ed. 1978)
R. Gamkrelidze
R1,488 Discovery Miles 14 880 Ships in 10 - 15 working days

In the late 1950's, the group of Soviet mathematicians consisting of L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko made fundamental contributions to optimal control theory. Much of their work was collected in their monograph, The Mathematical Theory of Optimal Processes. Subsequently, Professor Gamkrelidze made further important contributions to the theory of necessary conditions for problems of optimal control and general optimization problems. In the present monograph, Professor Gamkrelidze presents his current view of the fundamentals of optimal control theory. It is intended for use in a one-semester graduate course or advanced undergraduate course. We are now making these ideas available in English to all those interested in optimal control theory. West Lafayette, Indiana, USA Leonard D. Berkovitz Translation Editor Vll Preface This book is based on lectures I gave at the Tbilisi State University during the fall of 1974. It contains, in essence, the principles of general control theory and proofs of the maximum principle and basic existence theorems of optimal control theory. Although the proofs of the basic theorems presented here are far from being the shortest, I think they are fully justified from the conceptual view point. In any case, the notions we introduce and the methods developed have one unquestionable advantage -they are constantly used throughout control theory, and not only for the proofs of the theorems presented in this book."

Generalized Optimal Control of Linear Systems with Distributed Parameters (Paperback, Softcover reprint of the original 1st ed.... Generalized Optimal Control of Linear Systems with Distributed Parameters (Paperback, Softcover reprint of the original 1st ed. 2002)
S. I. Lyashko
R2,927 Discovery Miles 29 270 Ships in 10 - 15 working days

The author of this book made an attempt to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. The book touches upon a wide range of issues such as solvability of boundary values problems for partial differential equations with generalized right-hand sides, the existence of optimal controls, the necessary conditions of optimality, the controllability of systems, numerical methods of approximation of generalized solutions of initial boundary value problems with generalized data, and numerical methods for approximation of optimal controls. In particular, the problems of optimization of linear systems with lumped controls (pulse, point, pointwise, mobile and so on) are investigated in detail.

Discrete and Fractional Programming Techniques for Location Models (Paperback, Softcover reprint of the original 1st ed. 1998):... Discrete and Fractional Programming Techniques for Location Models (Paperback, Softcover reprint of the original 1st ed. 1998)
A. I. Barros
R1,494 Discovery Miles 14 940 Ships in 10 - 15 working days

At first sight discrete and fractional programming techniques appear to be two com pletely unrelated fields in operations research. We will show how techniques in both fields can be applied separately and in a combined form to particular models in location analysis. Location analysis deals with the problem of deciding where to locate facilities, con sidering the clients to be served, in such a way that a certain criterion is optimized. The term "facilities" immediately suggests factories, warehouses, schools, etc., while the term "clients" refers to depots, retail units, students, etc. Three basic classes can be identified in location analysis: continuous location, network location and dis crete location. The differences between these fields arise from the structure of the set of possible locations for the facilities. Hence, locating facilities in the plane or in another continuous space corresponds to a continuous location model while finding optimal facility locations on the edges or vertices of a network corresponds to a net work location model. Finally, if the possible set of locations is a finite set of points we have a discrete location model. Each of these fields has been actively studied, arousing intense discussion on the advantages and disadvantages of each of them. The usual requirement that every point in the plane or on the network must be a candidate location point, is one of the mostly used arguments "against" continuous and network location models."

Handbook of Quantitative Supply Chain Analysis - Modeling in the E-Business Era (Paperback, Softcover reprint of the original... Handbook of Quantitative Supply Chain Analysis - Modeling in the E-Business Era (Paperback, Softcover reprint of the original 1st ed. 2004)
David Simchi-Levi, S. David Wu, Zuo-Jun (Max) Shen
R5,735 Discovery Miles 57 350 Ships in 10 - 15 working days

The Handbook is a comprehensive research reference that is essential for anyone interested in conducting research in supply chain. Unique features include: -A focus on the intersection of quantitative supply chain analysis and E-Business, -Unlike other edited volumes in the supply chain area, this is a handbook rather than a collection of research papers. Each chapter was written by one or more leading researchers in the area. These authors were invited on the basis of their scholarly expertise and unique insights in a particular sub-area, -As much attention is given to looking back as to looking forward. Most chapters discuss at length future research needs and research directions from both theoretical and practical perspectives, -Most chapters describe in detail the quantitative models used for analysis and the theoretical underpinnings; many examples and case studies are provided to demonstrate how the models and the theoretical insights are relevant to real situations, -Coverage of most state-of-the-art business practices in supply chain management.

Hierarchical Optimization and Mathematical Physics (Paperback, Softcover reprint of the original 1st ed. 2000): Vladimir Tsurkov Hierarchical Optimization and Mathematical Physics (Paperback, Softcover reprint of the original 1st ed. 2000)
Vladimir Tsurkov
R2,882 Discovery Miles 28 820 Ships in 10 - 15 working days

This book should be considered as an introduction to a special dass of hierarchical systems of optimal control, where subsystems are described by partial differential equations of various types. Optimization is carried out by means of a two-level scheme, where the center optimizes coordination for the upper level and subsystems find the optimal solutions for independent local problems. The main algorithm is a method of iterative aggregation. The coordinator solves the problern with macrovariables, whose number is less than the number of initial variables. This problern is often very simple. On the lower level, we have the usual optimal control problems of math ematical physics, which are far simpler than the initial statements. Thus, the decomposition (or reduction to problems ofless dimensions) is obtained. The algorithm constructs a sequence of so-called disaggregated solutions that are feasible for the main problern and converge to its optimal solutionunder certain assumptions ( e.g., under strict convexity of the input functions). Thus, we bridge the gap between two disciplines: optimization theory of large-scale systems and mathematical physics. The first motivation was a special model of branch planning, where the final product obeys a preset assortment relation. The ratio coefficient is maximized. Constraints are given in the form of linear inequalities with block diagonal structure of the part of a matrix that corresponds to subsystems. The central coordinator assem bles the final production from the components produced by the subsystems."

Variational Analysis and Generalized Differentiation in Optimization and Control - In Honor of Boris S. Mordukhovich... Variational Analysis and Generalized Differentiation in Optimization and Control - In Honor of Boris S. Mordukhovich (Paperback, 2010 ed.)
Regina S. Burachik, Jen-Chih Yao
R2,859 Discovery Miles 28 590 Ships in 10 - 15 working days

This special volume is dedicated to Boris M. Mordukhovich, on the occasion of his 60th birthday, and aims to celebrate his fundamental contributionsto variational analysis, generalizeddifferentiationand their applications.A main exampleof these contributions is Boris' recent opus magnus "Variational Analysis and Generalized Differentiation"(vols. I and II) [2,3]. A detailed explanationand careful description of Boris' research and achievements can be found in [1]. Boris' active work and jovial attitude have constantly inspired researchers of several generations, with whom he has generously shared his knowledgeand ent- siasm, along with his well-known warmth and human touch. Variationalanalysis is a rapidlygrowing?eld within pure and applied mathem- ics, with numerous applications to optimization, control theory, economics, en- neering, and other disciplines. Each of the 12 chapters of this volume is a carefully reviewed paper in the ?eld of variational analysis and related topics. Many chapters of this volume were presented at the International Symposium on Variational Analysis and Optimization (ISVAO), held in the Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, from November 28 to November 30, 2008. The symposium was organized in honour of Boris' 60thbirthday.It broughttogetherBorisandotherresearchersto discusssta- of-the-art results in variational analysis and its applications, with emphasis on op- mization and control. We thank the organizers and participants of the symposium, who made the symposium a highly bene?cial and enjoyable event. We are also grateful to all the authors of this special volume, who have taken the opportunityto celebrate Boris' birthdayand his decadesof contributionsto the area.

Uniform Random Numbers - Theory and Practice (Paperback, Softcover reprint of the original 1st ed. 1995): Shu Tezuka Uniform Random Numbers - Theory and Practice (Paperback, Softcover reprint of the original 1st ed. 1995)
Shu Tezuka
R5,557 Discovery Miles 55 570 Ships in 10 - 15 working days

In earlier forewords to the books in this series on Discrete Event Dynamic Systems (DEDS), we have dwelt on the pervasive nature of DEDS in our human-made world. From manufacturing plants to computer/communication networks, from traffic systems to command-and-control, modern civilization cannot function without the smooth operation of such systems. Yet mathemat ical tools for the analysis and synthesis of DEDS are nascent when compared to the well developed machinery of the continuous variable dynamic systems char acterized by differential equations. The performance evaluation tool of choice for DEDS is discrete event simulation both on account of its generality and its explicit incorporation of randomness. As it is well known to students of simulation, the heart of the random event simulation is the uniform random number generator. Not so well known to the practitioners are the philosophical and mathematical bases of generating "random" number sequence from deterministic algorithms. This editor can still recall his own painful introduction to the issues during the early 80's when he attempted to do the first perturbation analysis (PA) experiments on a per sonal computer which, unbeknownst to him, had a random number generator with a period of only 32,768 numbers. It is no exaggeration to say that the development of PA was derailed for some time due to this ignorance of the fundamentals of random number generation.

Optimization - Algorithms and Consistent Approximations (Paperback, Softcover reprint of the original 1st ed. 1997): Elijah... Optimization - Algorithms and Consistent Approximations (Paperback, Softcover reprint of the original 1st ed. 1997)
Elijah Polak
R8,431 Discovery Miles 84 310 Ships in 10 - 15 working days

This book deals with optimality conditions, algorithms, and discretization tech niques for nonlinear programming, semi-infinite optimization, and optimal con trol problems. The unifying thread in the presentation consists of an abstract theory, within which optimality conditions are expressed in the form of zeros of optimality junctions, algorithms are characterized by point-to-set iteration maps, and all the numerical approximations required in the solution of semi-infinite optimization and optimal control problems are treated within the context of con sistent approximations and algorithm implementation techniques. Traditionally, necessary optimality conditions for optimization problems are presented in Lagrange, F. John, or Karush-Kuhn-Tucker multiplier forms, with gradients used for smooth problems and subgradients for nonsmooth prob lems. We present these classical optimality conditions and show that they are satisfied at a point if and only if this point is a zero of an upper semicontinuous optimality junction. The use of optimality functions has several advantages. First, optimality functions can be used in an abstract study of optimization algo rithms. Second, many optimization algorithms can be shown to use search directions that are obtained in evaluating optimality functions, thus establishing a clear relationship between optimality conditions and algorithms. Third, estab lishing optimality conditions for highly complex problems, such as optimal con trol problems with control and trajectory constraints, is much easier in terms of optimality functions than in the classical manner. In addition, the relationship between optimality conditions for finite-dimensional problems and semi-infinite optimization and optimal control problems becomes transparent.

Optimal Investment (Paperback, 2013 ed.): L. C. G. Rogers Optimal Investment (Paperback, 2013 ed.)
L. C. G. Rogers
R2,566 Discovery Miles 25 660 Ships in 10 - 15 working days

Readers of this book will learn how to solve a wide range of optimal investment problems arising in finance and economics.
Starting from the fundamental Merton problem, many variants are presented and solved, often using numerical techniques
that the book also covers. The final chapter assesses the relevance of many of the models in common use when applied to data.

Applied Mathematical Modelling of Engineering Problems (Paperback, Softcover reprint of the original 1st ed. 2003): N. V.... Applied Mathematical Modelling of Engineering Problems (Paperback, Softcover reprint of the original 1st ed. 2003)
N. V. Hritonenko, Yuri P. Yatsenko
R4,353 Discovery Miles 43 530 Ships in 10 - 15 working days

The subject of the book is the "know-how" of applied mathematical modelling: how to construct specific models and adjust them to a new engineering environment or more precise realistic assumptions; how to analyze models for the purpose of investigating real life phenomena; and how the models can extend our knowledge about a specific engineering process. Two major sources of the book are the stock of classic models and the authors' wide experience in the field. The book provides a theoretical background to guide the development of practical models and their investigation. It considers general modelling techniques, explains basic underlying physical laws and shows how to transform them into a set of mathematical equations. The emphasis is placed on common features of the modelling process in various applications as well as on complications and generalizations of models. The book covers a variety of applications: mechanical, acoustical, physical and electrical, water transportation and contamination processes; bioengineering and population control; production systems and technical equipment renovation. Mathematical tools include partial and ordinary differential equations, difference and integral equations, the calculus of variations, optimal control, bifurcation methods, and related subjects.

Regularity of Minimal Surfaces (Paperback, Softcover reprint of hardcover 2nd ed. 2010): Ulrich Dierkes Regularity of Minimal Surfaces (Paperback, Softcover reprint of hardcover 2nd ed. 2010)
Ulrich Dierkes; Contributions by Albrecht Kuster; Stefan Hildebrandt, Anthony Tromba
R4,450 Discovery Miles 44 500 Ships in 10 - 15 working days

Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateaus problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateaus problem have no interior branch points.

Variational Methods for Discontinuous Structures - International Workshop at Villa Erba (Cernobbio), Italy, July 2001... Variational Methods for Discontinuous Structures - International Workshop at Villa Erba (Cernobbio), Italy, July 2001 (Paperback, Softcover reprint of the original 1st ed. 2002)
Gianni Dal Maso, Franco Tomarelli
R1,495 Discovery Miles 14 950 Ships in 10 - 15 working days

This volume contains the Proceedings of the International Workshop Variational Methods For Discontinuous Structures, which was jointly organized by the Dipar timento di Matematica Francesco Brioschi of Milano Politecnico and the Interna tional School for Advanced Studies (SISSA) of Trieste. The Conference took place at Villa Erba Antica (Cernobbio) on the Lago di Como on July 4- 6, 2001. In past years the calculus of variations faced mainly the study of continuous structures, say particularly problems with smooth solutions. One of the deepest and more delicate problems was the regularity of weak solutions. More recently, new sophisticated tools have been introduced in order to study discontinuities: in many variational problems solutions develop singularities, and sometimes the most interesting part of a solution is the singularity itself. The conference intended to focus on recent developments in this direction. Some of the talks were devoted to differential or variational modelling of image segmentation, occlusion and textures synthesizing in image analysis, varia tional description of micro-magnetic materials, dimension reduction and structured deformations in elasticity and plasticity, phase transitions, irrigation and drainage, evolution of crystalline shapes; in most cases theoretical and numerical analysis of these models were provided. viii Preface Other talks were dedicated to specific problems of the calculus of variations: variational theory of weak or lower-dimensional structures, optimal transport prob lems with free Dirichlet regions, higher order variational problems, symmetrization in the BV framework."

Mathematics of Fuzzy Sets - Logic, Topology, and Measure Theory (Paperback, Softcover reprint of the original 1st ed. 1999):... Mathematics of Fuzzy Sets - Logic, Topology, and Measure Theory (Paperback, Softcover reprint of the original 1st ed. 1999)
Ulrich Hoehle, S. E. Rodabaugh
R9,637 Discovery Miles 96 370 Ships in 10 - 15 working days

Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a reference tool with broad appeal as well as a platform for future research. Fourteen chapters are organized into three parts: mathematical logic and foundations (Chapters 1-2), general topology (Chapters 3-10), and measure and probability theory (Chapters 11-14). Chapter 1 deals with non-classical logics and their syntactic and semantic foundations. Chapter 2 details the lattice-theoretic foundations of image and preimage powerset operators. Chapters 3 and 4 lay down the axiomatic and categorical foundations of general topology using lattice-valued mappings as a fundamental tool. Chapter 3 focuses on the fixed-basis case, including a convergence theory demonstrating the utility of the underlying axioms. Chapter 4 focuses on the more general variable-basis case, providing a categorical unification of locales, fixed-basis topological spaces, and variable-basis compactifications. Chapter 5 relates lattice-valued topologies to probabilistic topological spaces and fuzzy neighborhood spaces. Chapter 6 investigates the important role of separation axioms in lattice-valued topology from the perspective of space embedding and mapping extension problems, while Chapter 7 examines separation axioms from the perspective of Stone-Cech-compactification and Stone-representation theorems. Chapters 8 and 9 introduce the most important concepts and properties of uniformities, including the covering and entourage approaches and the basic theory of precompact or complete [0,1]-valued uniform spaces. Chapter 10 sets out the algebraic, topological, and uniform structures of the fundamentally important fuzzy real line and fuzzy unit interval. Chapter 11 lays the foundations of generalized measure theory and representation by Markov kernels. Chapter 12 develops the important theory of conditioning operators with applications to measure-free conditioning. Chapter 13 presents elements of pseudo-analysis with applications to the Hamilton Jacobi equation and optimization problems. Chapter 14 surveys briefly the fundamentals of fuzzy random variables which are [0,1]-valued interpretations of random sets.

Frontiers of Chemical Dynamics (Paperback, Softcover reprint of the original 1st ed. 1995): E. Yurtsever Frontiers of Chemical Dynamics (Paperback, Softcover reprint of the original 1st ed. 1995)
E. Yurtsever
R1,565 Discovery Miles 15 650 Ships in 10 - 15 working days

This volume contains the lectures presented at the NATO Advanced Study Institute (ASI) on " Frontiers of Chemical Dynamics ", held in the Club AIda, Kerner, Turkey, from 5th September to 16th September 1994. The Kerner area, famous for its pristine beaches and craggy mountains provided an excellent atmosphere for an intellectually and socially active meeting. The first class facilities of Club AIda allowed the participants to concentrate on the scientific activities without any outside interferences and disturbances. The main objective of the meeting was to bring experts of chemical dynamics to discuss problems from both experimental and theoretical points of view. The organizing committee has helped a great deal to collect an impressive list of lecturers, although there were quite a number of other scientists whom we would have liked to invite. Unfortunately, the number of lecturers is limited and we had to leave out some of them. The selection of the lecturers from a very long list was a difficult process and those who are approached in our very first attempt were all known for giving very good lectures. The purpose of the ASI's are mainly educational even though they may be at a very high level and it is essential to keep in mind the pedagogical aspects of the meeting without sacrificing the scientific quality. This point was underlined several times in our communications with lecturers.

Nonlinear Equations: Methods, Models and Applications (Paperback, Softcover reprint of the original 1st ed. 2003): Daniela... Nonlinear Equations: Methods, Models and Applications (Paperback, Softcover reprint of the original 1st ed. 2003)
Daniela Lupo, Carlo Pagani, Bernhard Ruf
R2,869 Discovery Miles 28 690 Ships in 10 - 15 working days

A collection of research articles originating from the Workshop on Nonlinear Analysis and Applications held in Bergamo in July 2001.

Classical topics of nonlinear analysis were considered, such as calculus of variations, variational inequalities, critical point theory and their use in various aspects of the study of elliptic differential equations and systems, equations of Hamilton-Jacobi, Schrodinger and Navier-Stokes, and free boundary problems. Moreover, various models were focused upon: travelling waves in supported beams and plates, vortex condensation in electroweak theory, information theory, non-geometrical optics, and Dirac-Fock models for heavy atoms."

Free Delivery
Pinterest Twitter Facebook Google+
You may like...
Fault-Tolerant Parallel and Distributed…
Dimiter R. Avresky, David R. Kaeli Hardcover R4,589 Discovery Miles 45 890
Set Functions, Games and Capacities in…
Michel Grabisch Hardcover R4,863 Discovery Miles 48 630
Languages, Compilers and Run-Time…
Boleslaw K. Szymanski, Balaram Sinharoy Hardcover R4,552 Discovery Miles 45 520
Technology for Success - Computer…
Mark Ciampa, Jill West, … Paperback  (1)
R1,305 R1,213 Discovery Miles 12 130
Neural Network Data Analysis Using…
Edward J. Rzempoluck Hardcover R1,551 Discovery Miles 15 510
Big Data Analytics - Harnessing Data for…
Soraya Sedkaoui, Mounia Khelfaoui, … Hardcover R4,197 Discovery Miles 41 970
Cognitive Social Mining Applications in…
Anandakumar Haldorai, Arulmurugan Ramu Hardcover R5,264 Discovery Miles 52 640
Mixed-Effects Models in S and S-PLUS
Jose Pinheiro, Douglas Bates Hardcover R6,329 Discovery Miles 63 290
Information Handling in Astronomy…
Andre Heck Hardcover R2,922 Discovery Miles 29 220
New Approaches to Data Analytics and…
P. Karthikeyan, Polinpapilinho F. Katina, … Hardcover R7,251 Discovery Miles 72 510

 

Partners