Scientific Computing

Book Description

Heath 2/e, presents a broad overview of numerical methods for solving all the major problems in scientific computing, including linear and nonlinear equations, least squares, eigenvalues, optimization, interpolation, integration, ordinary and partial differential equations, fast Fourier transforms, and random number generators. The treatment is comprehensive yet concise, software-oriented yet compatible with a variety of software packages and programming languages. The book features more than 160 examples, 500 review questions, 240 exercises, and 200 computer problems. Changes for the second edition include: expanded motivational discussions and examples; formal statements of all major algorithms; expanded discussions of existence, uniqueness, and conditioning for each type of problem so that students can recognize "good" and "bad" problem formulations and understand the corresponding quality of results produced; and expanded coverage of several topics, particularly eigenvalues and constrained optimization. The book contains a wealth of material and can be used in a variety of one- or two-term courses in computer science, mathematics, or engineering. Its comprehensiveness and modern perspective, as well as the software pointers provided, also make it a highly useful reference for practicing professionals who need to solve computational problems.

Customer Reviews:

very nice conceptual overview.......2006-07-22

Wow, people seem to be really split on this book. I had Mike Heath for numerical analysis/scientific computing and he was an excellent instructor, one of the best lecturers I've ever had. (As a consequence, I have a hard time separating the book and the class, so judge accordingly.) The book is based on his lecture notes, though he added some material and didn't cover every topic in the book. Just reading the book is useful to give you an overview of the point behind different methods. The goal of the class for which this book was written is actually quite conceptual. It was to give scientists (that's me: a stats researcher who makes heavy use of numerical computation) and CS people in areas other than scientific computing a leg up. It was only a first class for people in scientific computing, the rough equivalent of intro Physics or intro Probability/Stats for people in those respective majors. However, you *won't* be prepared to "roll your own" from this book. In fact, at the beginning of the semester Heath was very careful to note that if you have the opportunity to use a library function for most numerical programming, you are nuts to roll your own. Why? Numerical algorithms are usually extremely complicated and the authors of the code often spend years developing careful expertise on them. Frequently the formulas used to elucidate a given method are NOT the ones used to implement it. You need error traps, tricks to handle ill-scaling and other special cases, etc. These are things that someone who has a one-semester, superficial understanding of a topic simply won't have. So consider the book on the goals it set: it is an overview of a field. If you want to learn more about any one topic, you have to dig deeper and consult references and other works, but this is a good place to start. For this, the book serves admirably.

Not for the practitioner.......2005-11-17

If you are interested in Scientific computing from the viewpoint of the end user that is the guy who uses the method to solve practical engineering problems then this book is lacking.

Not enough methods in this book to constitute an introductory survey of the field. Every chapter gets heavy dose mathematical treatment, apparently Heath loves his math but for the rest of us it doesnt translate into know-how. Know how to solve equations using computational techniques. Very few derivations to back his mathematical swagger, very few examples (if any) and fewer numerical schemes to solve problems. Many of the chapters receive cursory treatment such as PDE's get about 70 pages of print. Far too little to do anyone any good.

He does talk about interesting issues such as conditioning and error analysis and computer precision and memory issues but it is done from such a superficial viewpoint that one cannot use anything to improve ones code. Not recommended if you want to learn numerical methods even if you have an excellent professor to learn from. His chapter on FFT's was even more abstruse and there was hardly any methods with which to solve PDE's.

I had this for a graduate course in Numerical Methods but ended up using Hoffman's excellent book on Numerical Methods.

Trash.......2005-10-14

If you want to have a solid understanding of numerical computation, this book is definitely the last choice. Many theorems are given without any proof or even intuitions behind them in this book. Even when a proof is provided, it's often far from rigorous. The organization of chapters is the worst I have ever seen, revelant materials are scattered over several different locations rather than put together. Take the SVD for example, it is mentioned in the end of chapter 3, but reappears in chapter 4, which is very confusing. If you are new to this area, please don't read this book. It gives you many many facts without explanations, which I think is not a good way to learn new things. David S. Watkins' Fundamentals of Matrix Computations is a lot better and easier to understand. It also emcompasses many detailed treatments of various theorems. If you have bought Heath's book, don't be sad, at least it can serve as a coaster.

Excellent Introduction, Sparse on Details.......2004-11-20

While sparse on the details of many of the algorithms and theorems mentioned, as an introduction it covers a broad range of material-enough for two semesters of study. The writing is lucid, and when a proof of a theorem is given, it is easy to follow and explained in english afterward. Rationale is given for everything, which is a great benefit to a student not familiar with the nuances of sophisticated linear algebra.

A Good Introductory Survey.......2002-11-05

This book excels at presenting a reader with little to no knowledge in computer science and a mild mathematical background (knowledge of differential equations as a prerequisite) with the fundamental concepts regarding scientific computing. The presentation of pseudo-code algorithms helps smooth the transition from analytical (pencil and paper) thinking to numerical thinking. The algorithms are presented in a manner such tha anyone with access to dozens of possible environments can apply them, though they are by no means complete, thus requiring some thought into the processes. The material covered is 110% of what an engineer will want to know, 90% of what an applied mathematician will want to know, and 45% of what a numerical analyist will want to know. In all, a great book to begin a foray into numerical computing.

Linear and Nonlinear Programming, Second Edition

Average customer rating:

Good book , but consider a used copy!
The book is a Xerox
A book on mathematics that also an engineer can read
A necessary book for all who want to read and learn!
Good introduction

Linear and Nonlinear Programming, Second Edition
Luenberger David G.
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 1402075936

Book Description

Linear and Nonlinear Programming is considered a classic textbook in Optimization. While it is a classic, it also reflects modern theoretical insights. These insights provide structure to what might otherwise be simply a collection of techniques and results, and this is valuable both as a means for learning existing material and for developing new results. One major insight of this type is the connection between the purely analytical character of an optimization problem, expressed perhaps by properties of the necessary conditions, and the behavior of algorithms used to solve a problem. This was a major theme of the first edition of this book and the second edition expands and further illustrates this relationship. Linear and Nonlinear Programming covers the central concepts of practical optimization techniques. It is designed for either self-study by professionals or classroom work at the undergraduate or graduate level for technical students. Like the field of optimization itself, which involves many classical disciplines, the book should be useful to system analysts, operations researchers, numerical analysts, management scientists, and other specialists from the host of disciplines from which practical optimization applications are drawn.

Customer Reviews:

Good book , but consider a used copy!.......2007-06-14

Luenberger's optimization book is very good and well worth having. However, it should be noted that the "new" 2004 edition published by Springer-Verlag is nothing more than an exact reprint of the 1984 2nd edition that was formerly published by Addison-Wesley. Accordingly, a good used copy may be more worthwhile than an overpriced "new" one.

This is the fourth such case I have come across wherein a publisher chooses to engage in such misleading marketing practices. The other three are "Engineering Optimization - Methods and Applications" by Reklaitis (1983), "Hydraulic Control Systems" by Merrit (1967), and "Dynamic Systems" also by Luenberger (1979). All three are now being sold as new publications by Wiley (according to Amazon). I suspect there are many other examples as well.

The book is a Xerox.......2007-02-14

Looking from outside, the book seems very good. However, when you open the cover you are shocked by the press quality. It seems like the book just came from an illegal copy shop. Sometimes you can not read small indices in formulas. For a book having this context, a better press quality should be used. I could make a better copy with a copy machine. The paper quality is around average.

A book on mathematics that also an engineer can read.......1999-11-25

I have profitably used the book to apply constrained minimization procedures in the field of computational contact mechanics. I think it is not a secret that quite often books on mathematics are written from matematicians for matematicians. Hence it is quite hard for engineers both to read and to extract valuable information from them. With this respect this book is a shining star. It presents the topics in a very precise but clear and understandable way. Moreover the notation also is the best compromise between coinciseness and clarity. Matematicians, please, look at this book and follow such style; we engineer desperately need to communicate with you.

A necessary book for all who want to read and learn!.......1999-08-02

I have the 1977 edition from my father's MIT days. I am a Mathematician and I can verify that the book written in 1977 is of the same style that good books have today! A book is not made obsolete because some new "elegant" terms arise. Ok Luenberger did not know about Interior Point Algorithms and to tell you the truth why should he? I do not know other editions but in the first edition in chapter 7 "Basic Descent Methods" everyone who is able to read clearly and unbiased the second paragraph will agree with me that Interion Point Algorithms IS NOTHING NEW in the theory of MATHEMATICS!!! What you need to know ,the magic, is in the chapters 7-11. From there you can read everything else you like and get in touch with what is about to come in the next 25 years(See Ye : "Interion Point Algorithms"). But remember you are already in stars before reading the new books...

Good introduction.......1998-05-04

Nice introduction to linear programming, but new standard definitions have already arrived, making many "good books" obsolete. The book sometimes isn't very clear and should be more explicit and should give more examples.

Average customer rating:

Ok Book
Excellent
excellent book
Why do you need to pay attention to Bertsekas collection ?
Does NOT deserver its reputation

Nonlinear Programming
Dimitri P. Bertsekas
Manufacturer: Athena Scientific
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Binding: Hardcover

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ASIN: 1886529000
Release Date: 1999-09-01

Product Description

This extensive rigorous texbook, developed through instruction at MIT, focuses on nonlinear and other types of optimization: iterative algorithms for constrained and unconstrained optimization, Lagrange multipliers and duality, large scale problems, and the interface between continuous and discrete optimization. Among its special features, the book: 1) provides extensive coverage of iterative optimization methods within a unifying framework 2) provides a detailed treatment of interior point methods for linear programming 3) covers in depth duality theory from both a variational and a geometrical/convex analysis point of view 4) includes much new material on a number of topics, such as neural network training, discrete-time optimal control, and large-scale optimization 5) includes a large number of examples and exercises detailed solutions of many of which are posted on the internet Much supplementary/support material can be found at the book's web page http://www.athenasc.com/nonlinbook.html

Customer Reviews:

Ok Book.......2007-08-24

This book is ok. It provides good explanations in some sections and not in others. It tends to be overly analytical and trivialize topics that are not trivial.

Excellent.......2007-03-13

Very good book. I received it from Amazon in very good condition and well within time. I'll buy again from amazon.

excellent book.......2006-07-03

I am suprised that equality constraint simple QP can be solved by projection method. The description of minimize pointwise maximize function problem also startles me.

Why do you need to pay attention to Bertsekas collection ?.......2006-05-11

The study of optimization is not an easy task. Several books, different levels, some books only addressing theory, some books emphasizing algorithms and a few addressing modelling.

When you read scientific papers, eventually you will convince yourself of the necessity to know some more "advanced" results (Lagrange, Duality and even non-differentiable optimization) that are not well explained on introductory operational research books.

What I liked in this collection: It is the MIT collection, up to date, with exercises solutions avaliable for download at the Bertsekas homepage, and MAINLY:
IT IS AN INTEGRATED BOOK COLLECTION. A complete course on optimization.

I advise you to read:

The foundational material:
-Linear Programming by Bertsimas
-Nonlinear Programming by Bertsekas
-Probability (the ideal companion to Optimal Control)

After that:
-Dynamic Programming and Optimal Control by Bertsekas
If you need to: -Convex Analysis by Bertsekas et al.

The notation employed in the books is consistent (this is very important from a didactic point of view) and the books are well written.

Very good collection.

Does NOT deserver its reputation.......2004-10-04

I don't know why this book has so much popularity so far. It is
NOT conscise, it is NOT well typesetted and the overall style is very confusing! I would recommend another book Convex Optimization by Boyd

Convex Analysis (Princeton Landmarks in Mathematics and Physics)

Average customer rating:

Very Good
the only thing it lacks is diagrams
a beauty mummified
Excellent introduction to Topology.

Convex Analysis (Princeton Landmarks in Mathematics and Physics)
Ralph Tyrell Rockafellar
Manufacturer: Princeton University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0691015864

Book Description

Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle- functions.

This book has firmly established a new and vital area not only for pure mathematics but also for applications to economics and engineering. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book. There is also a guide for the reader who may be using the book as an introduction, indicating which parts are essential and which may be skipped on a first reading.

Customer Reviews:

Very Good.......2007-05-09

This book is a classic. It is probably the best reference book although it is tough to read from the beginning untill the end. The style is heavy and you need strong mathematical background to understand it.
Anyway, if you need a result on convex functions or convex analysis it is very likely that you will find it in ths book.

the only thing it lacks is diagrams.......2007-01-12

This book perhaps ranks with Halmos' "Finite Dimensional Vector Spaces" as an unusually clear description of its subject. Rockafellar's book has been through numerous printings in 40 years. The theorem proofs can be intricate. But the thread of logical development makes reading it worthwhile. Certainly, it is beautiful how the crucial assumption of convexity makes all the derivations possible.

The level of discussion is suitable for a 3rd year undergrad [or higher], who is majoring in maths.

By current standards of maths texts, it does lack diagrams. In fact, there doesn't seem to be a single one! Something to get used to, if you are a current undergrad weaned on recent texts. [Since the author is still alive, perhaps he might consider adding diagrams to a future edition.]

a beauty mummified .......2005-12-02

convex programming is a beautiful topic which admits amazing geometric interpretation.

books like this manage to destroy one's appreciation of the topic by not providing even one (gasp!) figure. damn Bourbaki style.

Excellent introduction to Topology........2001-05-10

This is a good book for the first year in PhD studies. I recommend amply this book, it's very clear in the explanation, if you have any doubts about topology, Rockafellar explained in this book very simple the theory and all you need about Topology.

Nonlinear Finite Elements Analysis for Continua And Structures

Average customer rating:

Simply the best there is
A good reference, but need further revision
The new gold standard
Distinguished
Outstanding!

Nonlinear Finite Elements Analysis for Continua And Structures
Ted Belytschko
Manufacturer: John Wiley & Sons
ProductGroup: Book
Binding: Paperback

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ASIN: 0471987743

Book Description

Nonlinear Finite Elements for Continua and Structures Ted Belytschko, Wing Kam Liu, Brian Moran Northwestern University, Evanston, Illinois This book provides a comprehensive description of the major methodologies of nonlinear finite element analysis for solid mechanics, as applied to continua and structures. Treatment of the subject is integrated in such a way that the reader can gain an understanding of the fundamental methods, a feeling for the comparative usefulness of different approaches and an appreciation of the difficulties inherent in nonlinear analysis. In-depth coverage of the following is given:
* Lagrangian and arbitrary Lagrangian Eulerian treatments of continua
* many of the material laws used in today's software and research
* solution methods, including explicit and implicit time integration methods and methods for equilibrium problems
* basic concepts such as stability and smoothness, and techniques such as linearization and regularization
* methods for shells and structures
* contact-impact problems
* element technology, including multi-field elements
Ideal for self-study, no other book provides such a comprehensive description of nonlinear finite element analysis for solid mechanics. This is an invaluable reference not only for final year undergraduates, postgraduates, academics and engineers working on sophisticated finite element software and in the field of solid mechanics, but also for all users of nonlinear finite element programs.

Customer Reviews:

Simply the best there is.......2006-06-16

This book is simply the best nonlinear FEA book out there. While most other books stop at the Total and Updated Legrangian formulations, this book goes way beyond that and teaches you some really advanced FEA techniques. The treatment of material is thourough and meticulous. Unlike what some other reviewers have said, this book is NOT a bunch of research papers thrown together, but is very well organized with consistent notation and timely explanations. This book is ideal for self study as well as reference for scientists and engineers. However, watch out for some typos that may throw you off-track. This is the only complaint I have about the book.

A good reference, but need further revision.......2004-10-15

The approach taken by this book is neither too mathematical, which makes the subject untractable, nor too engineering-lized, which missed out important insights. I am an engineer with a master degree in mechanical engineering. I found this book very readable, given enough coffine and a good mood. The subjects covered are self-contained.

However this book needs further improvement to be called classic. First, contact-impact chapter is palely presented. LS-DYNA theory manual provides a more complete description on this subject. Secondly, typos need to be reduced. Thirdly, the language is somewhat boring. Fourthly, I would like to see a Latex-ized version of this book.

The new gold standard.......2004-06-02

This has got to be the best book out there now on how to construct nonlinear FE. For me, the book was worth it even if just for the lucent review of nonlinear continuum mechanics.

Distinguished.......2003-04-15

By systematic way of intuition, the authors successfully grasp the philosophy of nonlinear phenomena. The methods of explanation in TL, UL, and ALE are obviously pronounced. If the books of Prof. Zienkiewicz and Prof.Taylor, Prof.Bathe are treasures of FEM, this book is worth in that place.

Outstanding!.......2002-11-26

Though I had been somehow prepared by the positive comments of the other reviewers before buying this book, I must admit that I was impressed from the very beginning of study. Non linear FE is a "hard" subject, however the authors proceed in the most systematic and comprehensive way, addressing the most important aspects of non linear fem analysis in a single volume. The book contains everything you need from the field of Continuum Mechanics and is ideal for self - study. Valuable references, handy summary boxes and exercises at the end of each chapter are included.

Applied Optimization with MATLAB Programming

Average customer rating:

worst ever!!!
How to learn and use MATLAB quickly!
Great self teaching tool

Applied Optimization with MATLAB Programming
P. Venkataraman
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471349585

Book Description

A new approach to learning classical optimization methods-numerical techniques modeled and illustrated via MATLAB

This unique and timely volume combines a formal presentation of classical methods of design optimization with detailed instruction in the application of these methods using MATLAB. It introduces readers to the symbolic, numerical, and graphic features of MATLAB and integrates this powerful combination in the translation of many algorithms into applied optimization techniques with animation.

Applied Optimization with MATLAB® Programming develops all necessary mathematical concepts, illustrates abstract mathematical ideas of optimization using MATLAB's rich graphics features, and introduces new programming skills incrementally as optimization concepts are presented. This valuable learning tool:

Focuses on real-world optimization techniques
Covers all areas of optimization, including linear, nonlinear, discrete, and global
Includes creative examples from many disciplines
Presents a number of practical, open-ended design problems
Features an accompanying Web site with MATLAB code for all the numerical techniques and examples in the book

This one-of-a-kind resource enables senior-undergraduate and graduate students in engineering and other design disciplines to develop practical programming skills as they master the concepts of optimization. It is also an excellent self-teaching guide for design engineers in all fields of endeavor.

Customer Reviews:

worst ever!!!.......2004-01-29

I've had Dr. Venkat as a professor for 3 classes at RIT and he is by far the worst I have ever had. DO NOT BUY HIS BOOK! It will only make you dumber! That is how I feel after coming out of his class. I believe the reviewer that says the website is a main resource, he points us to the class site all the time with no helpful information, and because he can't answer the questions himself on the spot. Are you buying a book or a website? I think that's all the helpful information I have for now.

How to learn and use MATLAB quickly!.......2002-11-03

Excellent source for all people who don't have time to study MATLAB in-depth. A lot of useful examples help anyone to create his/her own code in no time!

Great self teaching tool.......2002-01-03

In this text the author chooses MATLAB as the tool in running computer-based optimization problems. This approach clearly covers all levels of optimization, and the book further supports this coverage through many helpful examples that balance theory with the application. The open-ended problems that are provided are a helpful mechanism for reinforcing the lessons of the text. The website that is a companion to the book, helped me access the reference links to the MATLAB software and the author's own personal site. This web site is a true lifeline to the book.

A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems (Nonconvex Optimization and Its Applications)

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A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems (Nonconvex Optimization and Its Applications)
Hanif D. Sherali , and W.P. Adams
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0792354877

Book Description

This book addresses a new method for generating tight linear or convex programming relaxations for discrete and continuous nonconvex programming problems. Problems of this type arise in many economics, location-allocation, scheduling and routing, and process control and engineering design applications. The principal thrust is to commence with a model that affords a useful representation and structure, and then to further strengthen this representation through an automatic reformulation and constraint generation technique. The contents of this book comprise the original work of the authors compiled from several journal publications, and not covered in any other book on this subject. The outstanding feature of this book is that it offers for the first time a unified treatment of discrete and continuous nonconvex programming problems. In essence, the bridge between these two types of nonconvexities is made via a polynomial representation of discrete constraints. The book lays the foundation of an idea that is stimulating and that has served to enhance the solubility of many challenging problems in the field.
Audience: This book is intended for researchers and practitioners who work in the area of discrete or continuous nonlinear, nonconvex optimization problems, as well as for students who are interested in learning about techniques for solving such problems.

Average customer rating:

Good book.
An excellent nonlinear systems book

Nonlinear Systems
S. Sastry
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387985131

Book Description

There has been a great deal of excitement over the last few years concerning the emergence of new mathematical techniques for the analysis and control of nonlinear systems: witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos and other simplified tools for the analysis of bifurcations, chaos and other complicated dynamical behaviour and the development of a comprehensive theory of nonlinear control. Coupled with this set of analytic advances has been the vast increase in computational power available both for the simulation of nonlinear systems as well as for the implementation in real time of sophisticated, real-time nonlinear control laws. Thus, technological advances have bolstered the impact of analytic advances and produced a tremendous variety of new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications. The material presented in this book is culled from different 1st year graduate courses that the author has taught at MIT and at Berkeley.

Customer Reviews:

Good book........2007-08-03

This is a good book devoted to nonlinear systems.
Compared to Vidyasagar's book, this book has more mathematical rigour, therefore, to follow it you should have a good Calculus/Linear Algebra /
Analysis background (I recomend to have good books of these subjects while reading Sastry).
Some topics are more intuitively than explictly covered. The same thing occurs in the exercises at the end of the chapters. Because of this I think that you should not follow only this book in a first course on nonlinear systems. I recomend Khalil's and Isidori's book as parallel readings.

An excellent nonlinear systems book.......2001-04-14

As a Ph.D student I found this book very helpful and I would like to recommend this book everyone involved in nonlinear systems. I also have Vidyasagar's (i wish there were more example problems) and Khalil's nonlinear systems(mainly devoted to Lyapunov analysis) books which are also good but I found this book much explanatory than others.

Nonlinear Programming: Theory and Algorithms

Average customer rating:

Great Book for NLP (for the mathematically inclined only!)

Nonlinear Programming: Theory and Algorithms
Mokhtar S. Bazaraa , Hanif D. Sherali , and C. M. Shetty
Manufacturer: Wiley-Interscience
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Binding: Hardcover

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ASIN: 0471486000

Book Description

COMPREHENSIVE COVERAGE OF NONLINEAR PROGRAMMING THEORY AND ALGORITHMS, THOROUGHLY REVISED AND EXPANDED

Nonlinear Programming: Theory and Algorithms-now in an extensively updated Third Edition- addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints. The Third Edition begins with a general introduction to nonlinear programming with illustrative examples and guidelines for model construction.

Concentration on the three major parts of nonlinear programming is provided:
* Convex analysis with discussion of topological properties of convex sets, separation and support of convex sets, polyhedral sets, extreme points and extreme directions of polyhedral sets, and linear programming
* Optimality conditions and duality with coverage of the nature, interpretation, and value of the classical Fritz John (FJ) and the Karush-Kuhn-Tucker (KKT) optimality conditions; the interrelationships between various proposed constraint qualifications; and Lagrangian duality and saddle point optimality conditions
* Algorithms and their convergence, with a presentation of algorithms for solving both unconstrained and constrained nonlinear programming problems

Important features of the Third Edition include:
* New topics such as second interior point methods, nonconvex optimization, nondifferentiable optimization, and more
* Updated discussion and new applications in each chapter
* Detailed numerical examples and graphical illustrations
* Essential coverage of modeling and formulating nonlinear programs
* Simple numerical problems
* Advanced theoretical exercises

The book is a solid reference for professionals as well as a useful text for students in the fields of operations research, management science, industrial engineering, applied mathematics, and also in engineering disciplines that deal with analytical optimization techniques. The logical and self-contained format uniquely covers nonlinear programming techniques with a great depth of information and an abundance of valuable examples and illustrations that showcase the most current advances in nonlinear problems.

Customer Reviews:

Great Book for NLP (for the mathematically inclined only!).......1999-12-30

I am referring to the Bazaraa, Sherali and Shetty book "Nonlinear Programming, Theory and Applications", second edition (it seems that Amazon missed the third author).

This is a great book for anyone who is interested in nonlinear optimization. The book presents the topic in a clear and concise manner, provides learning aides in form of examples and generally has a very well structured layout. I have other books on NLP, but I consider this the best one (Luenberger is great, too - but very condensed). The book consists of three parts: the first part presents convex analysis, the second part looks at optimality conditions and the third part presents algorithms. If you went through some OR textbooks and felt that they didn't give you enough on NLP, this is the place to get your fix!

Book Description

Nonlinear Interactions provides a coherent and unified treatment of analytical, computational, and experimental methods and concepts of modal interactions. This book is an obvious extension of Ali Nayfeh's well-known book Applied Nonlinear Dynamics (with Bala Balachandran). These methods are used to explore and unfold in a unified manner the fascinating complexities in nonlinear dynamical systems. The systems discussed are drawn from fluid mechanics and structural dynamics.

Nonlinear interactions between high-frequency and low-frequency modes are of great practical importance. Through the mechanisms discussed in this book, energy from high-frequency sources can be transferred to the low-frequency modes of supporting structures and foundations, and the result can be harmful large-amplitude oscillations that decrease their fatigue lives. On the other hand, these mechanisms can be exploited to transfer the energy from a system to a sacrificial subsystem and hence decrease considerably the vibrations of the main system and increase its fatigue life.

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