Mathematical Programming

Mathematical Programming PDF
Author: Melvyn Jeter
Publisher: Routledge
ISBN: 135143313X
Size: 61.95 MB
Format: PDF, Mobi
Category : Business & Economics
Languages : en
Pages : 360
View: 4271

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This book serves as an introductory text in mathematical programming and optimization for students having a mathematical background that includes one semester of linear algebra and a complete calculus sequence. It includes computational examples to aid students develop computational skills.

An Introduction To Optimization

An Introduction to Optimization PDF
Author: Edwin K. P. Chong
Publisher: John Wiley & Sons
ISBN: 1118515153
Size: 49.86 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 640
View: 6525

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Praise for the Third Edition ". . . guides and leads the reader through the learning path . . . [e]xamples are stated very clearly and the results are presented with attention to detail." —MAA Reviews Fully updated to reflect new developments in the field, the Fourth Edition of Introduction to Optimization fills the need for accessible treatment of optimization theory and methods with an emphasis on engineering design. Basic definitions and notations are provided in addition to the related fundamental background for linear algebra, geometry, and calculus. This new edition explores the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. The authors also present an optimization perspective on global search methods and include discussions on genetic algorithms, particle swarm optimization, and the simulated annealing algorithm. Featuring an elementary introduction to artificial neural networks, convex optimization, and multi-objective optimization, the Fourth Edition also offers: A new chapter on integer programming Expanded coverage of one-dimensional methods Updated and expanded sections on linear matrix inequalities Numerous new exercises at the end of each chapter MATLAB exercises and drill problems to reinforce the discussed theory and algorithms Numerous diagrams and figures that complement the written presentation of key concepts MATLAB M-files for implementation of the discussed theory and algorithms (available via the book's website) Introduction to Optimization, Fourth Edition is an ideal textbook for courses on optimization theory and methods. In addition, the book is a useful reference for professionals in mathematics, operations research, electrical engineering, economics, statistics, and business.

Introduction To Dynamic Programming

Introduction to Dynamic Programming PDF
Author: Leon Cooper
Publisher: Elsevier
ISBN: 1483161587
Size: 34.66 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 300
View: 516

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Introduction to Dynamic Programming provides information pertinent to the fundamental aspects of dynamic programming. This book considers problems that can be quantitatively formulated and deals with mathematical models of situations or phenomena that exists in the real world. Organized into 10 chapters, this book begins with an overview of the fundamental components of any mathematical optimization model. This text then presents the details of the application of dynamic programming to variational problems. Other chapters consider the application of dynamic programming to inventory theory, Markov processes, chemical engineering, optimal control theory, calculus of variations, and economics. This book discusses as well the approach to problem solving that is typical of dynamic programming. The final chapter deals with a number of actual applications of dynamic programming to practical problems. This book is a valuable resource for .graduate level students of mathematics, economics, statistics, business, operations research, industrial engineering, or other engineering fields.

Introduction To Mathematical Methods In Bioinformatics

Introduction to Mathematical Methods in Bioinformatics PDF
Author: Alexander Isaev
Publisher: Springer Science & Business Media
ISBN: 9783540219736
Size: 42.20 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 294
View: 6079

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This book looks at the mathematical foundations of the models currently in use. All existing books on bioinformatics are software-orientated and they concentrate on computer implementations of mathematical models of biology. This book is unique in the sense that it looks at the mathematical foundations of the models, which are crucial for correct interpretation of the outputs of the models.

An Introduction To Structural Optimization

An Introduction to Structural Optimization PDF
Author: Peter W. Christensen
Publisher: Springer Science & Business Media
ISBN: 1402086652
Size: 29.25 MB
Format: PDF, Mobi
Category : Technology & Engineering
Languages : en
Pages : 214
View: 6137

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This book has grown out of lectures and courses given at Linköping University, Sweden, over a period of 15 years. It gives an introductory treatment of problems and methods of structural optimization. The three basic classes of geometrical - timization problems of mechanical structures, i. e. , size, shape and topology op- mization, are treated. The focus is on concrete numerical solution methods for d- crete and (?nite element) discretized linear elastic structures. The style is explicit and practical: mathematical proofs are provided when arguments can be kept e- mentary but are otherwise only cited, while implementation details are frequently provided. Moreover, since the text has an emphasis on geometrical design problems, where the design is represented by continuously varying—frequently very many— variables, so-called ?rst order methods are central to the treatment. These methods are based on sensitivity analysis, i. e. , on establishing ?rst order derivatives for - jectives and constraints. The classical ?rst order methods that we emphasize are CONLIN and MMA, which are based on explicit, convex and separable appro- mations. It should be remarked that the classical and frequently used so-called op- mality criteria method is also of this kind. It may also be noted in this context that zero order methods such as response surface methods, surrogate models, neural n- works, genetic algorithms, etc. , essentially apply to different types of problems than the ones treated here and should be presented elsewhere.

Introduction To Calculus And Classical Analysis

Introduction to Calculus and Classical Analysis PDF
Author: Omar Hijab
Publisher: Springer Science & Business Media
ISBN: 0387693165
Size: 65.51 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 342
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Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead * definition of the integral as the area under the graph, while area is defined for every subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book.

An Introduction To Programming With Specifications

An Introduction to Programming with Specifications PDF
Author: Gerard Meurant
Publisher: Academic Press
ISBN: 0080984460
Size: 18.62 MB
Format: PDF, Docs
Category : Computers
Languages : en
Pages : 267
View: 5876

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A feature of modern advanced computing is the functional approach to programming. In this book, the authors present an introduction to the mathematics which underline functional programming, emphasizing the understanding of definition and specification--a prerequisite of good programming and problem solving with a computer. The book is self-contained, requiring a low level of mathematical sophistication and may be used as an introduction to the mathematics of programming. Provides an introduction to the functional approach to programming**Emphasizes the problem to be solved, not the programming language**Takes the view that all computer programs are a definition of a function**Includes exercises for each chapter**Can be used as a pre-programming language introduction to the mathematics of computing.