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**Convex Analysis and Optimization**

by Dimitri P. Bertsekas with Angelia Nedic and Asuman E. Ozdaglar

ISBN: 1-886529-45-0

Publication: April, 2003, 560 pages, hardcover

Price: $89.00A uniquely pedagogical, insightful, and rigorous treatment of the analytical/geometrical foundations of optimization. This major new book provides a comprehensive development of convexity theory, and its rich applications in optimization, including duality, minimax/saddle point theory, Lagrange multipliers, and Lagrangian relaxation/nondifferentiable optimization. It is an excellent supplement to several of our books: Nonlinear Programming (Athena Scientific, 1999), Network Optimization (Athena Scientific, 1998), Introduction to Linear Optimization (Athena Scientific, 1997), and Network Flows and Monotropic Optimization (Athena Scientific, 1998).

**Convex Analysis****Author**R. Tyrrell Rockafellar & Roger J-B Wets**Hardcover:**472 pages**Publisher:**Princeton University Press (June 1970)**Language:**English**ISBN:**0691080690**Product Dimensions:**1.2 x 6.5 x 9.5 inches**Shipping Weight:**1.70 pounds**Price:**$55.88**Book Description**This book should remain for some years as the standard reference for anyone interested in convex analysis.

**Convex Optimization****Author**Stephen Boyd, Lieven Vandenberghe**Hardcover:**730 pages**Publisher:**Cambridge University Press (March 8, 2004)**Language:**English**ISBN:**0521833787**Product Dimensions:**10.0 x 7.4 x 1.6 inches**Shipping Weight:**4.15 pounds**Price:**$70.00**Book Description**Convex optimization problems arise frequently in many different fields. A comprehensive introduction to the subject, this book shows in detail how such problems can be solved numerically with great efficiency. The focus is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. The text contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance, and economics.

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**Optimization Theory and Methods****About this book**

Table of contents

This book, a result of the author's teaching and research experience in various universities and institutes over the past ten years, can be used as a textbook for an optimization course for graduates and senior undergraduates. It systematically describes optimization theory and several powerful methods, including recent results. For most methods, the authors discuss an idea¡¯s motivation, study the derivation, establish the global and local convergence, describe algorithmic steps, and discuss the numerical performance. The book deals with both theory and algorithms of optimization concurrently. It also contains an extensive bibliography. Finally, apart from its use for teaching, Optimization Theory and Methods will be very beneficial as a research reference.**Written for:**

Senior students, graduates, teachers, and researchers in optimization, operations research, computational mathematics, applied mathematics, and some engineering and economics; scientists in engineering and economics**Keywords:**

Constrained optimization Mathematical programming Nonsmooth optimization Numerical optimization Unconstrained optimization

**Description:**

Nonlinear Programming

Series: Springer Optimization and Its Applications , Vol. 1

Sun, Wenyu, Yuan, Ya-xiang

2006, XII, 687 p. 25 illus., Hardcover

ISBN: 0-387-24975-3

Due: June 2006

69,95 € buy it

**Perturbation Analysis of Optimization Problems****Author**J. Frederic Bonnans Alexander Shapiro**Hardcover:**624 pages**Publisher:**Springer; 1 edition (May 11, 2000)**Language:**English**ISBN:**0387987053**Product Dimensions:**9.6 x 6.4 x 1.4 inches**Shipping Weight:**2.23 pounds**Price:**$89.95**Book Description**This book presents general results for discussing local optimality and computation of the expansion of value function and approximate solution of optimization problems. These results may be applied to various fields, from physics to economics, as various examples in the book show. Therefore, the book is an opportunity for popularizing these techniques among researchers involved in other sciences. Consequently the readership should be not only researchers in the field of optimization, nonlinear programming and optimal control, but also users of optimization in a wide sense, in mechanics (elasticity and plasticity theory), physics, statistics, finance and economics. The book will be useful to research professionals, including graduate students at an advanced level.

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**Nonlinear Integer Programming**

Series: International Series in Operations Research & Management Science , Vol. 84

Li, Duan, Sun, Xiaoling

Springer, New York

2006, XXII, 440 p., 71 illus., Hardcover

ISBN: 0-387-29503-8

Online orders shipping within 2-3 days

99,95 €About this book

The methodological development of integer programming has grown by leaps and bounds in the past four decades, with its main focus on linear integer programming. However, the past few years have also witnessed certain promising theoretical and methodological achievements in nonlinear integer programming. These recent developments have produced applications of nonlinear (mixed) integer programming across a variety of various areas of scientific computing, engineering, management science and operations research. Its prominent applications include, for examples, portfolio selection, capital budgeting, production planning, resource allocation, computer networks, reliability networks and chemical engineering.

The book is a comprehensive and systematic treatment of the methodology of nonlinear integer programming. The book's goal is to bring the state-of-the-art of the theoretical foundation and solution methods for nonlinear integer programming to students and researchers in optimization, operations research, and computer science. This book systemically investigates theory and solution methodologies for general nonlinear integer programming, and at the same time, provides a timely and comprehensive summary of the theoretical and algorithmic development in the last 30 years on this topic.

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**Variational Analysis****Author:**R. Tyrrell Rockafellar**Hardcover:**733 pages**Publisher:**Springer; 1 edition (August 22, 2005)**Language:**English**ISBN:**3540627723**Product Dimensions:**1.5 x 6.8 x 9.8 inches**Shipping Weight:**2.40 pounds**Price:**$149.00**Book Description**From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions' and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands.

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**How To Write & Publish a Scientific Paper: 5th Edition****Author:**Robert A. Day**Paperback:**296 pages**Publisher:**Oryx Press; 5th edition (June 18, 1998)**Language:**English**ISBN-10:**1573561657**ISBN-13:**978-1573561655**Product Dimensions:**9 x 6.1 x 0.8 inches**Shipping Weight:**1 pounds**Price:**$15.99**Book Description**The growth of the Internet, online journals, new software packages, computer networks - these and other facets of science writing can be found in the new edition of Robert A. Day's How to Write and Publish a Scientific Paper. Day has also expanded the section on poster preparation and presentation. The author helps good scientists become good writers by providing a practical guide to the process of writing, organising, illustrating, and submitting scientific research for publication in a scholarly scientific journal. The book's chapters are arranged according to the sequence of necessary steps for the submission and publication of a scientific paper. Day also discusses review writing, conference reports and theses, oral presentations, permissions and ethical issues, how to avoid jargon, and, finally, abbreviations and grammar. The book concludes with six appendices and a glossary of technical terms.

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