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Books > Science & Mathematics > Mathematics > Optimization > Linear programming

The Student's Introduction to Mathematica and the Wolfram Language (Paperback, 3rd Revised edition): Bruce F. Torrence,... The Student's Introduction to Mathematica and the Wolfram Language (Paperback, 3rd Revised edition)
Bruce F. Torrence, Eve A. Torrence
R944 R896 Discovery Miles 8 960 Save R48 (5%) Shipped within 7 - 12 working days

The unique feature of this compact student's introduction to Mathematica (R) and the Wolfram Language (TM) is that the order of the material closely follows a standard mathematics curriculum. As a result, it provides a brief introduction to those aspects of the Mathematica (R) software program most useful to students. Used as a supplementary text, it will help bridge the gap between Mathematica (R) and the mathematics in the course, and will serve as an excellent tutorial for former students. There have been significant changes to Mathematica (R) since the second edition, and all chapters have now been updated to account for new features in the software, including natural language queries and the vast stores of real-world data that are now integrated through the cloud. This third edition also includes many new exercises and a chapter on 3D printing that showcases the new computational geometry capabilities that will equip readers to print in 3D.

A Dynamical Systems Theory of Thermodynamics (Hardcover): Wassim M. Haddad A Dynamical Systems Theory of Thermodynamics (Hardcover)
Wassim M. Haddad
R1,808 R1,343 Discovery Miles 13 430 Save R465 (26%) Shipped within 7 - 12 working days

A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe "the entropic arrow of time.

Deterministic Operations Research - Models and Methods in Linear Optimization (Hardcover): David J. Rader Deterministic Operations Research - Models and Methods in Linear Optimization (Hardcover)
David J. Rader
R2,642 R2,319 Discovery Miles 23 190 Save R323 (12%) Shipped within 7 - 12 working days

Uniquely blends mathematical theory and algorithm design for understanding and modeling real-world problems

Optimization modeling and algorithms are key components to problem-solving across various fields of research, from operations research and mathematics to computer science and engineering. Addressing the importance of the algorithm design process. "Deterministic Operations Research" focuses on the design of solution methods for both continuous and discrete linear optimization problems. The result is a clear-cut resource for understanding three cornerstones of deterministic operations research: modeling real-world problems as linear optimization problem; designing the necessary algorithms to solve these problems; and using mathematical theory to justify algorithmic development.

Treating real-world examples as mathematical problems, the author begins with an introduction to operations research and optimization modeling that includes applications form sports scheduling an the airline industry. Subsequent chapters discuss algorithm design for continuous linear optimization problems, covering topics such as convexity. Farkas' Lemma, and the study of polyhedral before culminating in a discussion of the Simplex Method. The book also addresses linear programming duality theory and its use in algorithm design as well as the Dual Simplex Method. Dantzig-Wolfe decomposition, and a primal-dual interior point algorithm. The final chapters present network optimization and integer programming problems, highlighting various specialized topics including label-correcting algorithms for the shortest path problem, preprocessing and probing in integer programming, lifting of valid inequalities, and branch and cut algorithms.

Concepts and approaches are introduced by outlining examples that demonstrate and motivate theoretical concepts. The accessible presentation of advanced ideas makes core aspects easy to understand and encourages readers to understand how to think about the problem, not just what to think. Relevant historical summaries can be found throughout the book, and each chapter is designed as the continuation of the "story" of how to both model and solve optimization problems by using the specific problems-linear and integer programs-as guides. The book's various examples are accompanied by the appropriate models and calculations, and a related Web site features these models along with Maple(TM) and MATLAB(R) content for the discussed calculations.

Thoroughly class-tested to ensure a straightforward, hands-on approach, "Deterministic Operations Research" is an excellent book for operations research of linear optimization courses at the upper-undergraduate and graduate levels. It also serves as an insightful reference for individuals working in the fields of mathematics, engineering, computer science, and operations research who use and design algorithms to solve problem in their everyday work.

Formal Verification of Control System Software (Hardcover): Pierre-Loic Garoche Formal Verification of Control System Software (Hardcover)
Pierre-Loic Garoche
R1,037 R779 Discovery Miles 7 790 Save R258 (25%) Shipped within 7 - 12 working days

An essential introduction to the analysis and verification of control system software The verification of control system software is critical to a host of technologies and industries, from aeronautics and medical technology to the cars we drive. The failure of controller software can cost people their lives. In this authoritative and accessible book, Pierre-Lo c Garoche provides control engineers and computer scientists with an indispensable introduction to the formal techniques for analyzing and verifying this important class of software. Too often, control engineers are unaware of the issues surrounding the verification of software, while computer scientists tend to be unfamiliar with the specificities of controller software. Garoche provides a unified approach that is geared to graduate students in both fields, covering formal verification methods as well as the design and verification of controllers. He presents a wealth of new verification techniques for performing exhaustive analysis of controller software. These include new means to compute nonlinear invariants, the use of convex optimization tools, and methods for dealing with numerical imprecisions such as floating point computations occurring in the analyzed software. As the autonomy of critical systems continues to increase "as evidenced by autonomous cars, drones, and satellites and landers "the numerical functions in these systems are growing ever more advanced. The techniques presented here are essential to support the formal analysis of the controller software being used in these new and emerging technologies.

Elementary Linear Algebra, International Metric Edition (Paperback, 8th edition): Ron Larson Elementary Linear Algebra, International Metric Edition (Paperback, 8th edition)
Ron Larson
R708 R605 Discovery Miles 6 050 Save R103 (15%) Shipped within 8 - 13 working days

ELEMENTARY LINEAR ALGEBRA, 8E, INTERNATIONAL METRIC EDITION's clear, careful, and concise presentation of material helps you fully understand how mathematics works. The author balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system. To engage you in the material, a new design highlights the relevance of the mathematics and makes the book easier to read. Data and applications reflect current statistics and examples, demonstrating the link between theory and practice. The companion website LarsonLinearAlgebra.com offers free access to multiple study tools and resources. CalcChat.com offers free step-by-step solutions to the odd-numbered exercises in the text.

Model Building in Mathematical Programming (Paperback, 5th Edition): H. paul Williams Model Building in Mathematical Programming (Paperback, 5th Edition)
H. paul Williams
R984 R886 Discovery Miles 8 860 Save R98 (10%) Shipped within 7 - 12 working days

The 5th edition of Model Building in Mathematical Programming discusses the general principles of model building in mathematical programming and demonstrates how they can be applied by using several simplified but practical problems from widely different contexts. Suggested formulations and solutions are given together with some computational experience to give the reader a feel for the computational difficulty of solving that particular type of model. Furthermore, this book illustrates the scope and limitations of mathematical programming, and shows how it can be applied to real situations. By emphasizing the importance of the building and interpreting of models rather than the solution process, the author attempts to fill a gap left by the many works which concentrate on the algorithmic side of the subject. In this article, H.P. Williams explains his original motivation and objectives in writing the book, how it has been modified and updated over the years, what is new in this edition and why it has maintained its relevance and popularity over the years: http://www.statisticsviews.com/details/feature/4566481/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html

Optimal Transport Methods in Economics (Paperback): Alfred Galichon Optimal Transport Methods in Economics (Paperback)
Alfred Galichon
R762 R577 Discovery Miles 5 770 Save R185 (24%) Shipped within 7 - 12 working days

Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics. Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the matching between job seekers and jobs, the determinants of real estate prices, and the formation of matrimonial unions. This is the first text to develop clear applications of optimal transport to economic modeling, statistics, and econometrics. It covers the basic results of the theory as well as their relations to linear programming, network flow problems, convex analysis, and computational geometry. Emphasizing computational methods, it also includes programming examples that provide details on implementation. Applications include discrete choice models, models of differential demand, and quantile-based statistical estimation methods, as well as asset pricing models. Authoritative and accessible, Optimal Transport Methods in Economics also features numerous exercises throughout that help you develop your mathematical agility, deepen your computational skills, and strengthen your economic intuition. The first introduction to the subject written especially for economists Includes programming examples Features numerous exercises throughout Ideal for students and researchers alike

Computational Linear and Commutative Algebra (Hardcover, 1st ed. 2016): Martin Kreuzer, Lorenzo Robbiano Computational Linear and Commutative Algebra (Hardcover, 1st ed. 2016)
Martin Kreuzer, Lorenzo Robbiano
R1,575 R1,450 Discovery Miles 14 500 Save R125 (8%) Shipped within 7 - 12 working days

This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. It integrates the Linear Algebra of the Third Millennium, developed exclusively here, with classical algorithmic and algebraic techniques. Even the experienced reader will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems. This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The material treated here is not available in book form, and much of it is not available at all. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations.

Theory of Linear and Integer Programming (Paperback, Revised): Alexander Schrijver Theory of Linear and Integer Programming (Paperback, Revised)
Alexander Schrijver
R1,852 R1,634 Discovery Miles 16 340 Save R218 (12%) Shipped within 7 - 12 working days

This book describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. It aims at complementing the more practically oriented books in this field. A special feature is the authorís coverage of important recent developments in linear and integer programming. Applications to combinatorial optimization are given, and the author also includes extensive historical surveys and bibliographies. The book is intended for graduate students and researchers in operations research, mathematics and computer science. It will also be of interest to mathematical historians.

Invitation to Linear Operators - From Matrices to Bounded Linear Operators on a Hilbert Space (Paperback): Takayuki Furuta Invitation to Linear Operators - From Matrices to Bounded Linear Operators on a Hilbert Space (Paperback)
Takayuki Furuta
R2,111 Discovery Miles 21 110 Shipped within 7 - 12 working days


Invitation to Linear Operators is an essential guide to linear operators. Linear operator theory is a natural extension of matrix theory. Most of the books on linear operators are not easy to read for students and researchers who have insufficient knowledge of mathematics. This book explains, in easy to follow steps, the newest essential and fundamental results on linear operators based on matrix theory. The topics covered include: Hilbert spaces, fundamental properties of bounded linear operators, and further developments of bounded linear operators. This book will undoubtedly be of interest to undergraduate and graduate students as well as researchers who have an interest in linear operators and their various applications. It also serves as a reference book for advanced readers.

Medium-term Planning of a Multi-product Batch Plant Under Multi-period Multi-uncertainty by Two-stage Stochastic Mixed Integer... Medium-term Planning of a Multi-product Batch Plant Under Multi-period Multi-uncertainty by Two-stage Stochastic Mixed Integer Linear Programming (Paperback)
Jian Cui
R947 R664 Discovery Miles 6 640 Save R283 (30%) Shipped within 7 - 12 working days
Optimal Transport Methods in Economics (Hardcover): Alfred Galichon Optimal Transport Methods in Economics (Hardcover)
Alfred Galichon
R1,032 R774 Discovery Miles 7 740 Save R258 (25%) Shipped within 7 - 12 working days

Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics. Optimal transport theory is used widely to solve problems in mathematics and some areas of the sciences, but it can also be used to understand a range of problems in applied economics, such as the matching between job seekers and jobs, the determinants of real estate prices, and the formation of matrimonial unions. This is the first text to develop clear applications of optimal transport to economic modeling, statistics, and econometrics. It covers the basic results of the theory as well as their relations to linear programming, network flow problems, convex analysis, and computational geometry. Emphasizing computational methods, it also includes programming examples that provide details on implementation. Applications include discrete choice models, models of differential demand, and quantile-based statistical estimation methods, as well as asset pricing models. Authoritative and accessible, Optimal Transport Methods in Economics also features numerous exercises throughout that help you develop your mathematical agility, deepen your computational skills, and strengthen your economic intuition. * The first introduction to the subject written especially for economists* Includes programming examples* Features numerous exercises throughout* Ideal for students and researchers alike

Linear Programming - Theory, Algorithms & Applications (Paperback): Yaromir Truma Linear Programming - Theory, Algorithms & Applications (Paperback)
Yaromir Truma
R1,522 R1,027 Discovery Miles 10 270 Save R495 (33%) Shipped within 7 - 12 working days

Linear programming (LP), as a specific case of mathematical programming, has been widely encountered in a broad class of scientific disciplines and engineering applications. In view of its fundamental role, the solution of LP has been investigated extensively for the past decades. Due to the parallel-distributed processing nature and circuit-implementation convenience, the neurodynamic solvers based on recurrent neural network (RNN) have been regarded as powerful alternatives to online computation. This book discusses how linear programming is used to plan and schedule the workforce in an emergency room; the neurodynamic solvers, robotic applications, and solution non-uniqueness of linear programming; the mathematical equivalence of simple recourse and chance constraints in linear stochastic programming; and provides a decomposable linear programming model for energy supply chains.

Linear Optimisation with Applications (Paperback): A.M. Fitzharris Linear Optimisation with Applications (Paperback)
A.M. Fitzharris
R788 Discovery Miles 7 880 Shipped within 7 - 11 working days
Linear Programming and Network Flows (Hardcover, 4th Edition): Mokhtar S Bazaraa, John Jeff Jarvis, Hanif D. Sherali Linear Programming and Network Flows (Hardcover, 4th Edition)
Mokhtar S Bazaraa, John Jeff Jarvis, Hanif D. Sherali
R2,649 R2,326 Discovery Miles 23 260 Save R323 (12%) Shipped within 7 - 12 working days

The authoritative guide to modeling and solving complex problems with linear programming--extensively revised, expanded, and updated

The only book to treat both linear programming techniques and network flows under one cover, "Linear Programming and Network Flows, Fourth Edition" has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research, computer science, and mathematics.

The book begins with basic results on linear algebra and convex analysis, and a geometrically motivated study of the structure of polyhedral sets is provided. Subsequent chapters include coverage of cycling in the simplex method, interior point methods, and sensitivity and parametric analysis. Newly added topics in the "Fourth Edition" include:

The cycling phenomenon in linear programming and the geometry of cycling

Duality relationships with cycling

Elaboration on stable factorizations and implementation strategies

Stabilized column generation and acceleration of Benders and Dantzig-Wolfe decomposition methods

Line search and dual ascent ideas for the out-of-kilter algorithm

Heap implementation comments, negative cost circuit insights, and additional convergence analyses for shortest path problems

The authors present concepts and techniques that are illustrated by numerical examples along with insights complete with detailed mathematical analysis and justification. An emphasis is placed on providing geometric viewpoints and economic interpretations as well as strengthening the understanding of the fundamental ideas. Each chapter is accompanied by "Notes" and "References" sections that provide historical developments in addition to current and future trends. Updated exercises allow readers to test their comprehension of the presented material, and extensive references provide resources for further study.

"Linear Programming and Network Flows, Fourth Edition" is an excellent book for linear programming and network flow courses at the upper-undergraduate and graduate levels. It is also a valuable resource for applied scientists who would like to refresh their understanding of linear programming and network flow techniques.

Linear Programming (Paperback): Vasek Chvatal Linear Programming (Paperback)
Vasek Chvatal
R2,554 R1,880 Discovery Miles 18 800 Save R674 (26%) Shipped within 7 - 11 working days
Location of Connection Facilities (Paperback): Martin Bischoff Location of Connection Facilities (Paperback)
Martin Bischoff
R1,020 R717 Discovery Miles 7 170 Save R303 (30%) Shipped within 7 - 12 working days
Generalized Linear Models and Extensions - Fourth Edition (Paperback, 4th New edition): James W. Hardin, Joseph M. Hilbe Generalized Linear Models and Extensions - Fourth Edition (Paperback, 4th New edition)
James W. Hardin, Joseph M. Hilbe
R1,500 Discovery Miles 15 000 Shipped within 7 - 12 working days

Generalized linear models (GLMs) extend linear regression to models with a non-Gaussian, or even discrete, response. GLM theory is predicated on the exponential family of distributions-a class so rich that it includes the commonly used logit, probit, and Poisson models. Although one can fit these models in Stata by using specialized commands (for example, logit for logit models), fitting them as GLMs with Stata's glm command offers some advantages. For example, model diagnostics may be calculated and interpreted similarly regardless of the assumed distribution. This text thoroughly covers GLMs, both theoretically and computationally, with an emphasis on Stata. The theory consists of showing how the various GLMs are special cases of the exponential family, showing general properties of this family of distributions, and showing the derivation of maximum likelihood (ML) estimators and standard errors. Hardin and Hilbe show how iteratively reweighted least squares, another method of parameter estimation, are a consequence of ML estimation using Fisher scoring.

Generalized Fractional Programming (Hardcover): Gaston M N'Gu er ekata Generalized Fractional Programming (Hardcover)
Gaston M N'Gu er ekata
R3,376 R2,234 Discovery Miles 22 340 Save R1,142 (34%) Shipped within 7 - 12 working days

This monograph is aimed at presenting smooth and unified generalized fractional programming (or a program with a finite number of constraints). Under the current interdisciplinary computer-oriented research environment, these programs are among the most rapidly expanding research areas in terms of its multi-facet applications and empowerment for real world problems that can be handled by transforming them into generalized fractional programming problems. Problems of this type have been applied for the modeling and analysis of a wide range of theoretical as well as concrete, real world, practical problems. More specifically, generalized fractional programming concepts and techniques have found relevance and worldwide applications in approximation theory, statistics, game theory, engineering design (earthquake-resistant design of structures, design of control systems, digital filters, electronic circuits, etc.), boundary value problems, defect minimization for operator equations, geometry, random graphs, graphs related to Newton flows, wavelet analysis, reliability testing, environmental protection planning, decision making under uncertainty, geometric programming, disjunctive programming, optimal control problems, robotics, and continuum mechanics, among others. It is highly probable that among all industries, especially for the automobile industry, robots are about to revolutionize the assembly plants forever. That would change the face of other industries toward rapid technical innovation as well. The main focus of this monograph is to empower graduate students, faculty and other research enthusiasts for more accelerated research advances with significant applications in the interdisciplinary sense without borders. The generalized fractional programming problems have a wide range of real-world problems, which can be transformed in some sort of a generalized fractional programming problem. Consider fractional programs that arise from management decision science; by analyzing system efficiency in an economical sense, it is equivalent to maximizing system efficiency leading to fractional programs with occurring objectives: Maximizing productivity; Maximizing return on investment; Maximizing return/ risk; Minimizing cost/time; Minimizing output/input. The authors envision that this monograph will uniquely present the interdisciplinary research for the global scientific community (including graduate students, faculty, and general readers). Furthermore, some of the new concepts can be applied to duality theorems based on the use of a new class of multi-time, multi-objective, variational problems as well.

Non-Archimedean Linear Operators & Applications (Paperback): Toka Diagana Non-Archimedean Linear Operators & Applications (Paperback)
Toka Diagana
R955 R659 Discovery Miles 6 590 Save R296 (31%) Shipped within 7 - 12 working days

This self-contained book provides the reader with a comprehensive presentation of recent investigations on operator theory over non-Archimedean Banach and Hilbert spaces. This includes, non-archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions of linear operators and one-paramter families of bounded linear operators on free branch spaces.

Linear Programming - Methods and Applications (Paperback, 5th Revised edition): Saul I. Gass Linear Programming - Methods and Applications (Paperback, 5th Revised edition)
Saul I. Gass
R586 R462 Discovery Miles 4 620 Save R124 (21%) Shipped within 7 - 11 working days

Clear and comprehensive, this volume introduces theoretical, computational, and applied concepts and is useful both as text and as a reference book. Considerations of theoretical and computational methods include the general linear programming problem, the simplex computational procedure, the revised simplex method, more. Examples and exercises with selected answers appear in every chapter. 1995 edition.

Linear Algebra (Hardcover): L Shen, Haohao Wang, J Wojdylo Linear Algebra (Hardcover)
L Shen, Haohao Wang, J Wojdylo
R1,921 R1,580 Discovery Miles 15 800 Save R341 (18%) Shipped within 7 - 12 working days

The aim of this book is two-fold: to introduce the fundamental concepts of linear algebra and to apply the theorems in computation-oriented applications. The book is suitable for a one semester course in linear algebra that can be used in a variety of contexts. The presentation of the material combines definitions and proofs with an emphasis on computational applications, providing examples that illustrate the use of software packages such as Mathematica(R), Maple(R), and Sage. Features: - Introduces the fundamental concepts of linear algebra and applies the theorems in computation-oriented applications - Presents a brief introduction of some aspects of abstract algebra that relate directly to linear algebra, such as groups, rings, modules, fields and polynomials over fields.

Control Theory for Linear Systems (Hardcover, 2001 ed.): H.L. Trentelman, Anton A. Stoorvogel, Malo Hautus Control Theory for Linear Systems (Hardcover, 2001 ed.)
H.L. Trentelman, Anton A. Stoorvogel, Malo Hautus
R4,031 R3,149 Discovery Miles 31 490 Save R882 (22%) Shipped within 7 - 12 working days

Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.

FROM THE REVIEWS:
"...The book covers quite a broad range of material and gives the student a solid introduction to the field of systems and control theory ... I found this book to be well written and rigorous in its approach. It provides a good introduction to the mathematical theory of linear systems and control system design. I would recommend it as a good choice for a first-year graduate course covering these topics."
-IEEE TRANSACTIONS ON AUTOMATIC CONTROL

MATHEMATICAL REVIEWS
"...it is no small task to produce a book that presents the essential ingredients of the theory in a manner suitable for graduate students who are learning it for the first time. However, this is precisely the objective of the book under review and, in the opinion of this reviewer, the authors have succeeded admirably...Each chapter concludes with a set of exercises and historical notes and references. Also included in a fairly extensive bibliography with 232 references. These features and the lucid writing style of the authors make this book ideally suited for any graduate course in linear control theory aimed at students of applied mathematics or mathematically inclined students of engineering."

Linear Optimization in Applications (Paperback): Linear Optimization in Applications (Paperback)
R328 R269 Discovery Miles 2 690 Save R59 (18%) Shipped within 7 - 12 working days

This book aims to illustrate with practical examples the applications of linear optimization techniques. It is written in simple and easy to understand language and has put together a useful and comprehensive set of worked examples based on real life problems.

Optimization - Foundations and Applications (Paperback): H. Ronald Miller Optimization - Foundations and Applications (Paperback)
H. Ronald Miller
R3,674 R3,210 Discovery Miles 32 100 Save R464 (13%) Shipped within 7 - 12 working days

A thorough and highly accessible resource for analysts in a broad range of social sciences.

Optimization: Foundations and Applications presents a series of approaches to the challenges faced by analysts who must find the best way to accomplish particular objectives, usually with the added complication of constraints on the available choices. Award-winning educator Ronald E. Miller provides detailed coverage of both classical, calculus-based approaches and newer, computer-based iterative methods.

Dr. Miller lays a solid foundation for both linear and nonlinear models and quickly moves on to discuss applications, including iterative methods for root-finding and for unconstrained maximization, approaches to the inequality constrained linear programming problem, and the complexities of inequality constrained maximization and minimization in nonlinear problems. Other important features include:

  • More than 200 geometric interpretations of algebraic results, emphasizing the intuitive appeal of mathematics
  • Classic results mixed with modern numerical methods to aid users of computer programs
  • Extensive appendices containing mathematical details important for a thorough understanding of the topic

With special emphasis on questions most frequently asked by those encountering this material for the first time, Optimization: Foundations and Applications is an extremely useful resource for professionals in such areas as mathematics, engineering, economics and business, regional science, geography, sociology, political science, management and decision sciences, public policy analysis, and numerous other social sciences.

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