Linear And Nonlinear Programming With Maple

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Linear and Nonlinear Programming with Maple

Author : Paul E. Fishback
Publisher : CRC Press
ISBN 13 : 9781420090659
Total Pages : 413 pages
Book Rating : 4.0/5 (96 download)

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Book Synopsis Linear and Nonlinear Programming with Maple by : Paul E. Fishback

Download or read book Linear and Nonlinear Programming with Maple written by Paul E. Fishback and published by CRC Press. This book was released on 2009-12-09 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helps Students Understand Mathematical Programming Principles and Solve Real-World Applications Supplies enough mathematical rigor yet accessible enough for undergraduates Integrating a hands-on learning approach, a strong linear algebra focus, MapleTM software, and real-world applications, Linear and Nonlinear Programming with MapleTM: An Interactive, Applications-Based Approach introduces undergraduate students to the mathematical concepts and principles underlying linear and nonlinear programming. This text fills the gap between management science books lacking mathematical detail and rigor and graduate-level books on mathematical programming. Essential linear algebra tools Throughout the text, topics from a first linear algebra course, such as the invertible matrix theorem, linear independence, transpose properties, and eigenvalues, play a prominent role in the discussion. The book emphasizes partitioned matrices and uses them to describe the simplex algorithm in terms of matrix multiplication. This perspective leads to streamlined approaches for constructing the revised simplex method, developing duality theory, and approaching the process of sensitivity analysis. The book also discusses some intermediate linear algebra topics, including the spectral theorem and matrix norms. Maple enhances conceptual understanding and helps tackle problems Assuming no prior experience with Maple, the author provides a sufficient amount of instruction for students unfamiliar with the software. He also includes a summary of Maple commands as well as Maple worksheets in the text and online. By using Maple’s symbolic computing components, numeric capabilities, graphical versatility, and intuitive programming structures, students will acquire a deep conceptual understanding of major mathematical programming principles, along with the ability to solve moderately sized real-world applications. Hands-on activities that engage students Throughout the book, student understanding is evaluated through "waypoints" that involve basic computations or short questions. Some problems require paper-and-pencil calculations; others involve more lengthy calculations better suited for performing with Maple. Many sections contain exercises that are conceptual in nature and/or involve writing proofs. In addition, six substantial projects in one of the appendices enable students to solve challenging real-world problems.

Interactive Operations Research with Maple

Author : Mahmut Parlar
Publisher : Springer Science & Business Media
ISBN 13 : 1461213568
Total Pages : 478 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Interactive Operations Research with Maple by : Mahmut Parlar

Download or read book Interactive Operations Research with Maple written by Mahmut Parlar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interactive Operations Research with Maple: Methods and Models has two ob jectives: to provide an accelerated introduction to the computer algebra system Maple and, more importantly, to demonstrate Maple's usefulness in modeling and solving a wide range of operations research (OR) problems. This book is written in a format that makes it suitable for a one-semester course in operations research, management science, or quantitative methods. A nwnber of students in the departments of operations research, management science, oper ations management, industrial and systems engineering, applied mathematics and advanced MBA students who are specializing in quantitative methods or opera tions management will find this text useful. Experienced researchers and practi tioners of operations research who wish to acquire a quick overview of how Maple can be useful in solving OR problems will find this an excellent reference. Maple's mathematical knowledge base now includes calculus, linear algebra, ordinary and partial differential equations, nwnber theory, logic, graph theory, combinatorics, statistics and transform methods. Although Maple's main strength lies in its ability to perform symbolic manipulations, it also has a substantial knowledge of a large nwnber of nwnerical methods and can plot many different types of attractive-looking two-dimensional and three-dimensional graphs. After almost two decades of continuous improvement of its mathematical capabilities, Maple can now boast a user base of more than 300,000 academics, researchers and students in different areas of mathematics, science and engineering.

Linear and Nonlinear Programming

Author : Roger Hartley
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Linear and Nonlinear Programming by : Roger Hartley

Download or read book Linear and Nonlinear Programming written by Roger Hartley and published by . This book was released on 1985 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Optimization

Author : William P. Fox
Publisher : CRC Press
ISBN 13 : 1000196968
Total Pages : 306 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Nonlinear Optimization by : William P. Fox

Download or read book Nonlinear Optimization written by William P. Fox and published by CRC Press. This book was released on 2020-12-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is the act of obtaining the "best" result under given circumstances. In design, construction, and maintenance of any engineering system, engineers must make technological and managerial decisions to minimize either the effort or cost required or to maximize benefits. There is no single method available for solving all optimization problems efficiently. Several optimization methods have been developed for different types of problems. The optimum-seeking methods are mathematical programming techniques (specifically, nonlinear programming techniques). Nonlinear Optimization: Models and Applications presents the concepts in several ways to foster understanding. Geometric interpretation: is used to re-enforce the concepts and to foster understanding of the mathematical procedures. The student sees that many problems can be analyzed, and approximate solutions found before analytical solutions techniques are applied. Numerical approximations: early on, the student is exposed to numerical techniques. These numerical procedures are algorithmic and iterative. Worksheets are provided in Excel, MATLAB®, and MapleTM to facilitate the procedure. Algorithms: all algorithms are provided with a step-by-step format. Examples follow the summary to illustrate its use and application. Nonlinear Optimization: Models and Applications: Emphasizes process and interpretation throughout Presents a general classification of optimization problems Addresses situations that lead to models illustrating many types of optimization problems Emphasizes model formulations Addresses a special class of problems that can be solved using only elementary calculus Emphasizes model solution and model sensitivity analysis About the author: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. He received his Ph.D. at Clemson University and has taught at the United States Military Academy and at Francis Marion University where he was the chair of mathematics. He has written many publications, including over 20 books and over 150 journal articles. Currently, he is an adjunct professor in the Department of Mathematics at the College of William and Mary. He is the emeritus director of both the High School Mathematical Contest in Modeling and the Mathematical Contest in Modeling.

Linear and Nonlinear Programming

Author : David G. Luenberger
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear and Nonlinear Programming by : David G. Luenberger

Download or read book Linear and Nonlinear Programming written by David G. Luenberger and published by Addison Wesley Publishing Company. This book was released on 1984 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a text covering the central concepts of practical optimization techniques. It is designed for either self-study by professionals or classroom work at the undergraduate level for students who have a technical background in engineering, mathematics, or science.

Nonlinear Programming

Author : Richard Cottle
Publisher : American Mathematical Soc.
ISBN 13 : 9780821813294
Total Pages : 212 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Nonlinear Programming by : Richard Cottle

Download or read book Nonlinear Programming written by Richard Cottle and published by American Mathematical Soc.. This book was released on 1976 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear and Nonlinear Programming

Author : Stephen G. Nash
Publisher : McGraw-Hill Science, Engineering & Mathematics
ISBN 13 :
Total Pages : 744 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Linear and Nonlinear Programming by : Stephen G. Nash

Download or read book Linear and Nonlinear Programming written by Stephen G. Nash and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1996 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete and unified introduction to applications, theory and algorithms which contains modelling examples, computer based exercises and material on interior point methods and trust-region methods. Gives both numerical methods for optimisation and optomisation problems.

Linear Programs and Related Problems

Author : Evar D. Nering
Publisher : Academic Press
ISBN 13 : 9780125154406
Total Pages : 618 pages
Book Rating : 4.1/5 (544 download)

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Book Synopsis Linear Programs and Related Problems by : Evar D. Nering

Download or read book Linear Programs and Related Problems written by Evar D. Nering and published by Academic Press. This book was released on 1993 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is concerned primarily with the theory of linear and nonlinear programming, and a number of closely-related problems, and with algorithms appropriate to those problems. In the first part of the book, the authors introduce the concept of duality which serves as a unifying concept throughout the book. The simplex algorithm is presented along with modifications and adaptations to problems with special structures. Two alternative algorithms, the ellipsoidal algorithm and Karmarker's algorithm, are also discussed, along with numerical considerations. the second part of the book looks at specific types of problems and methods for their solution. This book is designed as a textbook for mathematical programming courses, and each chapter contains numerous exercises and examples.

Linear and Nonlinear Optimization

Author : Igor Griva
Publisher : SIAM
ISBN 13 : 0898717736
Total Pages : 743 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Linear and Nonlinear Optimization by : Igor Griva

Download or read book Linear and Nonlinear Optimization written by Igor Griva and published by SIAM. This book was released on 2009-01-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to the applications, theory, and algorithms of linear and nonlinear optimization. The emphasis is on practical aspects - discussing modern algorithms, as well as the influence of theory on the interpretation of solutions or on the design of software. The book includes several examples of realistic optimization models that address important applications. The succinct style of this second edition is punctuated with numerous real-life examples and exercises, and the authors include accessible explanations of topics that are not often mentioned in textbooks, such as duality in nonlinear optimization, primal-dual methods for nonlinear optimization, filter methods, and applications such as support-vector machines. The book is designed to be flexible. It has a modular structure, and uses consistent notation and terminology throughout. It can be used in many different ways, in many different courses, and at many different levels of sophistication.

Principles of Linear Algebra With Maple

Author : Kenneth M. Shiskowski
Publisher : Wiley
ISBN 13 : 9780470637593
Total Pages : 0 pages
Book Rating : 4.6/5 (375 download)

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Book Synopsis Principles of Linear Algebra With Maple by : Kenneth M. Shiskowski

Download or read book Principles of Linear Algebra With Maple written by Kenneth M. Shiskowski and published by Wiley. This book was released on 2010-09-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the theoretical and computational aspects of linear algebra using MapleTM Many topics in linear algebra can be computationally intensive, and software programs often serve as important tools for understanding challenging concepts and visualizing the geometric aspects of the subject. Principles of Linear Algebra with Maple uniquely addresses the quickly growing intersection between subject theory and numerical computation, providing all of the commands required to solve complex and computationally challenging linear algebra problems using Maple. The authors supply an informal, accessible, and easy-to-follow treatment of key topics often found in a first course in linear algebra. Requiring no prior knowledge of the software, the book begins with an introduction to the commands and programming guidelines for working with Maple. Next, the book explores linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule. Basic linear algebra topics such as vectors, dot product, cross product, and vector projection are explained, as well as the more advanced topics of rotations in space, rolling a circle along a curve, and the TNB Frame. Subsequent chapters feature coverage of linear transformations from Rn to Rm, the geometry of linear and affine transformations, least squares fits and pseudoinverses, and eigenvalues and eigenvectors. The authors explore several topics that are not often found in introductory linear algebra books, including sensitivity to error and the effects of linear and affine maps on the geometry of objects. The Maple software highlights the topic's visual nature, as the book is complete with numerous graphics in two and three dimensions, animations, symbolic manipulations, numerical computations, and programming. In addition, a related Web site features supplemental material, including Maple code for each chapter's problems, solutions, and color versions of the book's figures. Extensively class-tested to ensure an accessible presentation, Principles of Linear Algebra with Maple is an excellent book for courses on linear algebra at the undergraduate level. It is also an ideal reference for students and professionals who would like to gain a further understanding of the use of Maple to solve linear algebra problems.

Solving Nonlinear Partial Differential Equations with Maple and Mathematica

Author : Inna Shingareva
Publisher : Springer Science & Business Media
ISBN 13 : 370910517X
Total Pages : 357 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Solving Nonlinear Partial Differential Equations with Maple and Mathematica by : Inna Shingareva

Download or read book Solving Nonlinear Partial Differential Equations with Maple and Mathematica written by Inna Shingareva and published by Springer Science & Business Media. This book was released on 2011-07-24 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject. Among a big number of CAS, we choose the two systems, Maple and Mathematica, that are used worldwide by students, research mathematicians, scientists, and engineers. As in the our previous books, we propose the idea to use in parallel both systems, Maple and Mathematica, since in many research problems frequently it is required to compare independent results obtained by using different computer algebra systems, Maple and/or Mathematica, at all stages of the solution process. One of the main points (related to CAS) is based on the implementation of a whole solution method (e.g. starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g. with asymptotic solution).

Nonlinear Programming

Author : Olvi L. Mangasarian
Publisher : SIAM
ISBN 13 : 0898713412
Total Pages : 231 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Nonlinear Programming by : Olvi L. Mangasarian

Download or read book Nonlinear Programming written by Olvi L. Mangasarian and published by SIAM. This book was released on 1994-01-01 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reprint of the 1969 book of the same name is a concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and airline scheduling can be reduced to a constrained optimization problem. This book provides readers with the fundamentals needed to study and solve such problems. Beginning with a chapter on linear inequalities and theorems of the alternative, basics of convex sets and separation theorems are then derived based on these theorems. This is followed by a chapter on convex functions that includes theorems of the alternative for such functions. These results are used in obtaining the saddlepoint optimality conditions of nonlinear programming without differentiability assumptions.

Optimization

Author : Rajesh Kumar Arora
Publisher : CRC Press
ISBN 13 : 149872115X
Total Pages : 454 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Optimization by : Rajesh Kumar Arora

Download or read book Optimization written by Rajesh Kumar Arora and published by CRC Press. This book was released on 2015-05-06 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Choose the Correct Solution Method for Your Optimization ProblemOptimization: Algorithms and Applications presents a variety of solution techniques for optimization problems, emphasizing concepts rather than rigorous mathematical details and proofs. The book covers both gradient and stochastic methods as solution techniques for unconstrained and co

Linear and Nonlinear Programming

Author : Vincent A. Sposito
Publisher : Wiley-Blackwell
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear and Nonlinear Programming by : Vincent A. Sposito

Download or read book Linear and Nonlinear Programming written by Vincent A. Sposito and published by Wiley-Blackwell. This book was released on 1975 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear programming; Further computational algorithms and topics in linear programming; Linear duality theory; Topics in linear programming and statistics; Saddle point optimality criteria of nonlinear programming problems; Saddle point characterization and quadratic programming; Geometric programming.

Applications of Operations Research and Management Science for Military Decision Making

Author : William P. Fox
Publisher : Springer Nature
ISBN 13 : 303020569X
Total Pages : 498 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Applications of Operations Research and Management Science for Military Decision Making by : William P. Fox

Download or read book Applications of Operations Research and Management Science for Military Decision Making written by William P. Fox and published by Springer Nature. This book was released on 2019-08-28 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on many years of applied research, modeling and educating future decision makers, the authors have selected the critical set of mathematical modeling skills for decision analysis to include in this book. The book focuses on the model formulation and modeling building skills, as well as the technology to support decision analysis. The authors cover many of the main techniques that have been incorporated into their three-course sequence in mathematical modeling for decision making in the Department of Defense Analysis at the Naval Postgraduate School. The primary objective of this book is illustrative in nature. It begins with an introduction to mathematical modeling and a process for formally thinking about difficult problems, illustrating many scenarios and illustrative examples. The book incorporates the necessary mathematical foundations for solving these problems with military applications and related military processes to reinforce the applied nature of the mathematical modeling process.

Ordinary Differential Equations

Author : Radu Precup
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110447444
Total Pages : 234 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Ordinary Differential Equations by : Radu Precup

Download or read book Ordinary Differential Equations written by Radu Precup and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-01-22 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple. Offering a concise course in the theory of ordinary differential equations, it also enables the reader to enter the field of computer simulations. Thus, it is a valuable read for students in mathematics as well as in physics and engineering. It is also addressed to all those interested in mathematical modeling with ordinary differential equations and systems. Contents Part I: Theory Chapter 1 First-Order Differential Equations Chapter 2 Linear Differential Systems Chapter 3 Second-Order Differential Equations Chapter 4 Nonlinear Differential Equations Chapter 5 Stability of Solutions Chapter 6 Differential Systems with Control Parameters Part II: Exercises Seminar 1 Classes of First-Order Differential Equations Seminar 2 Mathematical Modeling with Differential Equations Seminar 3 Linear Differential Systems Seminar 4 Second-Order Differential Equations Seminar 5 Gronwall’s Inequality Seminar 6 Method of Successive Approximations Seminar 7 Stability of Solutions Part III: Maple CodeLab 1 Introduction to Maple Lab 2 Differential Equations with Maple Lab 3 Linear Differential Systems Lab 4 Second-Order Differential Equations Lab 5 Nonlinear Differential Systems Lab 6 Numerical Computation of Solutions Lab 7 Writing Custom Maple Programs Lab 8 Differential Systems with Control Parameters

Game Theory

Author : E. N. Barron
Publisher : John Wiley & Sons
ISBN 13 : 1118030656
Total Pages : 437 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Game Theory by : E. N. Barron

Download or read book Game Theory written by E. N. Barron and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundamental introduction to modern game theory from a mathematical viewpoint Game theory arises in almost every fact of human and inhuman interaction since oftentimes during these communications objectives are opposed or cooperation is viewed as an option. From economics and finance to biology and computer science, researchers and practitioners are often put in complex decision-making scenarios, whether they are interacting with each other or working with evolving technology and artificial intelligence. Acknowledging the role of mathematics in making logical and advantageous decisions, Game Theory: An Introduction uses modern software applications to create, analyze, and implement effective decision-making models. While most books on modern game theory are either too abstract or too applied, this book provides a balanced treatment of the subject that is both conceptual and hands-on. Game Theory introduces readers to the basic theories behind games and presents real-world examples from various fields of study such as economics, political science, military science, finance, biological science as well as general game playing. A unique feature of this book is the use of Maple to find the values and strategies of games, and in addition, it aids in the implementation of algorithms for the solution or visualization of game concepts. Maple is also utilized to facilitate a visual learning environment of game theory and acts as the primary tool for the calculation of complex non-cooperative and cooperative games. Important game theory topics are presented within the following five main areas of coverage: Two-person zero sum matrix games Nonzero sum games and the reduction to nonlinear programming Cooperative games, including discussion of both the Nucleolus concept and the Shapley value Bargaining, including threat strategies Evolutionary stable strategies and population games Although some mathematical competence is assumed, appendices are provided to act as a refresher of the basic concepts of linear algebra, probability, and statistics. Exercises are included at the end of each section along with algorithms for the solution of the games to help readers master the presented information. Also, explicit Maple and Mathematica® commands are included in the book and are available as worksheets via the book's related Web site. The use of this software allows readers to solve many more advanced and interesting games without spending time on the theory of linear and nonlinear programming or performing other complex calculations. With extensive examples illustrating game theory's wide range of relevance, this classroom-tested book is ideal for game theory courses in mathematics, engineering, operations research, computer science, and economics at the upper-undergraduate level. It is also an ideal companion for anyone who is interested in the applications of game theory.