• Mathematics

Linear Programming: An Introduction to Finite Improvement Algorithms

Second Edition
Author: Daniel Solow
Publisher: Courier Corporation
ISBN: 0486493768
Category: Mathematics
Page: 432
View: 1355
This text covers the basic theory and computation for a first course in linear programming, including substantial material on mathematical proof techniques and sophisticated computation methods. Includes Appendix on using Excel. 1984 edition.

    • Mathematics

Linear Programming

Methods and Applications
Author: Saul I. Gass
Publisher: Courier Corporation
ISBN: 048643284X
Category: Mathematics
Page: 532
View: 7113
Comprehensive, well-organized volume, suitable for undergraduates, covers theoretical, computational, and applied areas in linear programming. Expanded, updated edition; useful both as a text and as a reference book. 1995 edition.

    • Business & Economics

Introduction to Linear Optimization and Extensions with MATLAB®


Author: Roy H. Kwon
Publisher: CRC Press
ISBN: 1482204347
Category: Business & Economics
Page: 362
View: 1788
Filling the need for an introductory book on linear programming that discusses the important ways to mitigate parameter uncertainty, Introduction to Linear Optimization and Extensions with MATLAB® provides a concrete and intuitive yet rigorous introduction to modern linear optimization. In addition to fundamental topics, the book discusses current linear optimization technologies such as predictor-path following interior point methods for both linear and quadratic optimization as well as the inclusion of linear optimization of uncertainty i.e. stochastic programming with recourse and robust optimization. The author introduces both stochastic programming and robust optimization as frameworks to deal with parameter uncertainty. The author’s unusual approach—developing these topics in an introductory book—highlights their importance. Since most applications require decisions to be made in the face of uncertainty, the early introduction of these topics facilitates decision making in real world environments. The author also includes applications and case studies from finance and supply chain management that involve the use of MATLAB. Even though there are several LP texts in the marketplace, most do not cover data uncertainty using stochastic programming and robust optimization techniques. Most emphasize the use of MS Excel, while this book uses MATLAB which is the primary tool of many engineers, including financial engineers. The book focuses on state-of-the-art methods for dealing with parameter uncertainty in linear programming, rigorously developing theory and methods. But more importantly, the author’s meticulous attention to developing intuition before presenting theory makes the material come alive.

    • Mathematics

Understanding and Using Linear Programming


Author: Jiri Matousek,Bernd Gärtner
Publisher: Springer Science & Business Media
ISBN: 3540307176
Category: Mathematics
Page: 226
View: 1546
The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".

    • Computers

Linear Programming

An Introduction with Applications
Author: A. Sultan
Publisher: Elsevier
ISBN: 1483297241
Category: Computers
Page: 568
View: 7829
Includes one IBM/PC floppy disk. System Requirements: Monochrome monitors, IBM-compatible machines, minimum: 286 IBM, DOS 2.0 or higher. This book gives a complete, concise introduction to the theory and applications of linear programming. It emphasizes the practical applications of mathematics, and makes the subject more accessible to individuals with varying mathematical abilities. It is one of the first rigorous linear programming texts that does not require linear algebra as a prerequisite. In addition, this text contains a floppy disk containing the program SIMPLEX, designed to help students solve problems using the computer. Key Features * Less rigorous mathematically - will appeal to individuals with varying mathematical abilities * Includes a floppy disk containing the program SIMPLEX and an appendix to help students solve problems using the computer * Includes chapters on network analysis and dynamic programming - topics of great interest to business majors and industrial engineers * Includes modem applications - selected computer programs for solving various max/min applications

    • Mathematics

A First Course in Numerical Analysis


Author: Anthony Ralston,Philip Rabinowitz
Publisher: Courier Corporation
ISBN: 9780486414546
Category: Mathematics
Page: 606
View: 2075
Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.

    • Algebras, Linear

Graph Algorithms in the Language of Linear Algebra


Author: Jeremy Kepner,John Gilbert
Publisher: SIAM
ISBN: 9780898719918
Category: Algebras, Linear
Page: 361
View: 7850
The current exponential growth in graph data has forced a shift to parallel computing for executing graph algorithms. Implementing parallel graph algorithms and achieving good parallel performance have proven difficult. This book addresses these challenges by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation, and improved performance.

    • Computers

Entropy and Information Theory


Author: Robert M. Gray
Publisher: Springer Science & Business Media
ISBN: 1475739826
Category: Computers
Page: 332
View: 4672

    • Mathematics

Engineering Optimization

Theory and Practice
Author: Singiresu S. Rao,S. S. Rao
Publisher: John Wiley & Sons
ISBN: 0470183527
Category: Mathematics
Page: 813
View: 4377
Technology/Engineering/Mechanical Helps you move from theory to optimizing engineering systems in almost any industry Now in its Fourth Edition, Professor Singiresu Rao's acclaimed text Engineering Optimization enables readers to quickly master and apply all the important optimization methods in use today across a broad range of industries. Covering both the latest and classical optimization methods, the text starts off with the basics and then progressively builds to advanced principles and applications. This comprehensive text covers nonlinear, linear, geometric, dynamic, and stochastic programming techniques as well as more specialized methods such as multiobjective, genetic algorithms, simulated annealing, neural networks, particle swarm optimization, ant colony optimization, and fuzzy optimization. Each method is presented in clear, straightforward language, making even the more sophisticated techniques easy to grasp. Moreover, the author provides: Case examples that show how each method is applied to solve real-world problems across a variety of industries Review questions and problems at the end of each chapter to engage readers in applying their newfound skills and knowledge Examples that demonstrate the use of MATLAB® for the solution of different types of practical optimization problems References and bibliography at the end of each chapter for exploring topics in greater depth Answers to Review Questions available on the author's Web site to help readers to test their understanding of the basic concepts With its emphasis on problem-solving and applications, Engineering Optimization is ideal for upper-level undergraduates and graduate students in mechanical, civil, electrical, chemical, and aerospace engineering. In addition, the text helps practicing engineers in almost any industry design improved, more efficient systems at less cost.

    • Mathematics

Numerical Optimization


Author: Jorge Nocedal,Stephen Wright
Publisher: Springer Science & Business Media
ISBN: 0387400656
Category: Mathematics
Page: 664
View: 7317
Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

    • Mathematics

Constructive Real Analysis


Author: Allen A. Goldstein
Publisher: Courier Corporation
ISBN: 0486286606
Category: Mathematics
Page: 192
View: 5789
This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. Topics include iterations and fixed points, metric spaces, nonlinear programming, applications to integral equations, and more. 1967 edition.

    • Mathematics

Numerical Mathematics


Author: Alfio Maria Quarteroni,Riccardo Sacco,Fausto Saleri
Publisher: Springer
ISBN: 0387227504
Category: Mathematics
Page: 655
View: 8728
The purpose of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties and to demonstrate their performances on examples and counterexamples. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified using the MATLAB software environment. Each chapter contains examples, exercises and applications of the theory discussed to the solution of real-life problems. While addressed to senior undergraduates and graduates in engineering, mathematics, physics and computer sciences, this text is also valuable for researchers and users of scientific computing in a large variety of professional fields.

    • Mathematics

A First Course in the Numerical Analysis of Differential Equations


Author: A. Iserles
Publisher: Cambridge University Press
ISBN: 0521734908
Category: Mathematics
Page: 459
View: 6364
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.

    • Engineering mathematics

Finite Element Procedures


Author: Klaus-Jürgen Bathe
Publisher: Klaus-Jurgen Bathe
ISBN: 9780979004902
Category: Engineering mathematics
Page: 1037
View: 6242

    • Mathematics

Introduction to Numerical Analysis

Second Edition
Author: F. B. Hildebrand
Publisher: Courier Corporation
ISBN: 0486318559
Category: Mathematics
Page: 669
View: 7627
Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.

    • Mathematics

Linear Programming and Economic Analysis


Author: Robert Dorfman,Paul A. Samuelson,Robert M. Solow
Publisher: Courier Corporation
ISBN: 0486142116
Category: Mathematics
Page: 525
View: 2562
Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of dynamic linear programming, more.

    • Mathematics

Extending the Linear Model with R

Generalized Linear, Mixed Effects and Nonparametric Regression Models
Author: Julian J. Faraway
Publisher: CRC Press
ISBN: 9780203492284
Category: Mathematics
Page: 312
View: 3062
Linear models are central to the practice of statistics and form the foundation of a vast range of statistical methodologies. Julian J. Faraway's critically acclaimed Linear Models with R examined regression and analysis of variance, demonstrated the different methods available, and showed in which situations each one applies. Following in those footsteps, Extending the Linear Model with R surveys the techniques that grow from the regression model, presenting three extensions to that framework: generalized linear models (GLMs), mixed effect models, and nonparametric regression models. The author's treatment is thoroughly modern and covers topics that include GLM diagnostics, generalized linear mixed models, trees, and even the use of neural networks in statistics. To demonstrate the interplay of theory and practice, throughout the book the author weaves the use of the R software environment to analyze the data of real examples, providing all of the R commands necessary to reproduce the analyses. All of the data described in the book is available at http://people.bath.ac.uk/jjf23/ELM/ Statisticians need to be familiar with a broad range of ideas and techniques. This book provides a well-stocked toolbox of methodologies, and with its unique presentation of these very modern statistical techniques, holds the potential to break new ground in the way graduate-level courses in this area are taught.

    • Business & Economics

Making, Breaking Codes

An Introduction to Cryptography
Author: Paul B. Garrett
Publisher: Pearson
ISBN: 9780130303691
Category: Business & Economics
Page: 524
View: 5296
This unique book explains the basic issues of classical and modern cryptography, and provides a self contained essential mathematical background in number theory, abstract algebra, and probability—with surveys of relevant parts of complexity theory and other things. A user-friendly, down-to-earth tone presents concretely motivated introductions to these topics.More detailed chapter topics include simple ciphers; applying ideas from probability; substitutions, transpositions, permutations; modern symmetric ciphers; the integers; prime numbers; powers and roots modulo primes; powers and roots for composite moduli; weakly multiplicative functions; quadratic symbols, quadratic reciprocity; pseudoprimes; groups; sketches of protocols; rings, fields, polynomials; cyclotomic polynomials, primitive roots; pseudo-random number generators; proofs concerning pseudoprimality; factorization attacks finite fields; and elliptic curves. For personnel in computer security, system administration, and information systems.

    • Computers

An Introduction to the Analysis of Algorithms


Author: Robert Sedgewick,Philippe Flajolet
Publisher: Addison-Wesley
ISBN: 0133373487
Category: Computers
Page: 604
View: 2049
Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students. An Introduction to the Analysis of Algorithms, Second Edition, organizes and presents that knowledge, fully introducing primary techniques and results in the field. Robert Sedgewick and the late Philippe Flajolet have drawn from both classical mathematics and computer science, integrating discrete mathematics, elementary real analysis, combinatorics, algorithms, and data structures. They emphasize the mathematics needed to support scientific studies that can serve as the basis for predicting algorithm performance and for comparing different algorithms on the basis of performance. Techniques covered in the first half of the book include recurrences, generating functions, asymptotics, and analytic combinatorics. Structures studied in the second half of the book include permutations, trees, strings, tries, and mappings. Numerous examples are included throughout to illustrate applications to the analysis of algorithms that are playing a critical role in the evolution of our modern computational infrastructure. Improvements and additions in this new edition include Upgraded figures and code An all-new chapter introducing analytic combinatorics Simplified derivations via analytic combinatorics throughout The book’s thorough, self-contained coverage will help readers appreciate the field’s challenges, prepare them for advanced results—covered in their monograph Analytic Combinatorics and in Donald Knuth’s The Art of Computer Programming books—and provide the background they need to keep abreast of new research. "[Sedgewick and Flajolet] are not only worldwide leaders of the field, they also are masters of exposition. I am sure that every serious computer scientist will find this book rewarding in many ways." —From the Foreword by Donald E. Knuth

    • Mathematics

Introduction to Linear Algebra


Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1461210704
Category: Mathematics
Page: 293
View: 2032
This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.