Product Description
This is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently. ... Read more

Customer Reviews (1)

A nice MATH book on this topic
This book presents many nice topics in finite model theory.The materialon infinitary logic and the finite model properties are nicely presentedhere and not really available elsewhere. The material on Finite Automataand Logic, and on Descriptive Complexity , is available and better done inother books.This entire field is a cross of computer science and math,and this book is strong on the math end, but not on the computer scienceangle. ... Read more

Product Description
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes.

Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.

Contents
Introduction; Signorini's Problem; Minimization Methods and Their Variants; Finite Element Approximations; Orderings, Trace Theorems, Green's Formulas and Korn's Inequalities; Signorini's Problem Revisited; Signorini's Problem for Incompressible Materials; Alternate Variational Principles for Signorini's Problem; Contact Problems for Large Deflections of Elastic Plates; Some Special Contact Problems with Friction; Contact Problems with Nonclassical Friction Laws;Contact Problems Involving Deformations and Nonlinear Materials; Dynamic Friction Problems; Rolling Contact Problems; Concluding Comments. ... Read more

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This comprehensive, encyclopedic text in four parts aims to give the reader — from the graduate student to the researcher/practitioner — a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, thereby updating and modernizing the semigroup theory literature.

Customer Reviews (1)

Review of Rhodes/Steinberg
This is first-rate presentation of modern finite semigroup theory by two of the
currently most active researchers in this field. This is an essential reference for
anyone wanting to know the present state-of-the-art in the algebraic theory of semigroups. ... Read more

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This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books à la Carte also offer a great value—this format costs significantly less than a new textbook.

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Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. This approach is described using only basic knowledge of algebra and algebraic number theory. It contains not only most of our present knowledge about abelian difference sets, but also gives applications of character theory to projective planes with quasiregular collineation groups. Therefore, the book is of interest both to geometers and mathematicians working on difference sets. Moreover, the Fourier transform is important in more applied branches of discrete mathematics such as coding theory and shift register sequences. ... Read more

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Giving you more in-depth explanations, this insightful resource includes fully worked-out solutions for the answers to select exercises included at the back of the textbook, as well as problem-solving strategies, additional algebra steps, and review for selected problems. ... Read more

Customer Reviews (2)

Math Textbook
This study guide was very useful as a companion to the textbook for my Business Math I class. As always, Amazon's new prices were cheaper than the local college bookstores used prices.

happy customer
The book was shipped on time and the condition as described. I would gladly use this seller again in the future. ... Read more

Product Description

This engaging new text for the one-semester finite mathematics course uses intriguing real-world applications to capture business, economics, life, and social science majors' interest and show them the practical side of mathematics. The text naturally integrates graphing calculator and spreadsheet explorations to expose students to the tools they will encounter in their future careers.

• Application Previews at the beginning of most sections include in-depth real-world applications that motivate students to focus on the section material.
• A wealth of pedagogy includes the following distinctive features: Worked-out Examples with Annotations to help students through the more challenging concepts; Practice Problems, offered as extra exercises after the more difficult worked-out examples; Section Summaries, briefly restating essential formulas and key concepts; Chapter Summary with Hints and Suggestions included at the end of every chapter to unify the chapter, give specific reminders, and reference problems in the review exercises suitable for a practice test; and Cumulative Review Exercises appearing at the end of groups of chapters to reinforce previously learned concepts and skills.

Customer Reviews (1)

Never received this book
My son ever received this book at school.I am very disappointed.We have never had this problem before. ... Read more

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The Student Solutions Manual contains worked-out solutions to the odd-numbered problems in the text. ... Read more

Product Description
This manual provides detailed information on using Excel spreadsheets with this text. ... Read more

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A First Course in the Finite Element Analysis provides a simple, basic approach to the finite element method that can be understood by both undergraduate and graduate students. It does not have the usual prerequisites (such as structural analysis) required by most available texts in this area. The book is written primarily as a basic learning tool for the undergraduate student in civil and mechanical engineering whose main interest is in stress analysis and heat transfer. The text is geared toward those who want to apply the finite element method as a tool to solve practical physical problems. This revised fourth edition includes the addition of a large number of new problems (including SI problems), an appendix for mechanical and thermal properties, and more civil applications. ... Read more

Customer Reviews (8)

Excellent.
This is an Excellent product.The quality is absolutely amazing.The attention to detail is magnificent.This book is great for learning the required subject.

Finite Element Text
It is the only finite element text that I have, it was required for my current course.It seems to do pretty well with example problems and other material.Tends to skip steps as do most higher learning textbooks, so be sure to brush up on your calculus knowledge.

A good book for understanding FEM within a week
This is a good book for the students like me, who would apply FEM for their research but have no idea about FEM. Usually, we don't need to know too much detail about FEM. We only need the basic principle. That's what this book offers. Instead of complex stress-strain analysis in other FEM books, this book starts from one-dimensional truss and beam problems to two-dimensional plane stress problems. I just read half of the book and now feel very comfortable with a FEM code.

Nice book!

Excellent First Text
A very good book for someone that has never studied this subject before.It's clearly written, and has very good practical examples.I was able to easily work the problems in the end of the chapters using the equations and examples in the text.To use this book, you need to have elementary knowledge of mechanics of materials, basic structural design, and matrices.There is a very good appendix on matrices, which helps you work through that part of FEM.

Great update
I bought this book to review for a class I teach in Finite Element Method. It is an update of the previous edition, with was a great book.I highly recommend this book! ... Read more

Product Description

This book provides an integrated approach to finite element methodologies. The development of finite element theory is combined with examples and exercises involving engineering applications. The steps used in the development of the theory are implemented in complete, self-contained computer programs. While the strategy and philosophy of the previous editions has been retained, the Third Edition has been updated and improved to include new material on additional topics. Chapter topics cover fundamental concepts, matrix algebra and gaussian elimination, one-dimensional problems, trusses, two-dimensional problems using constant strain triangles, axisymmetric solids subjected to axisymmetric loading, two-dimensional isoparametric elements and numerical integration, beams and frames, three-dimensional problems in stress analysis, scalar field problems, dynamic considerations, and preprocessing and postprocessing. For practicing engineers as a valuable learning resource.

Customer Reviews (4)

Excellent start, poor finish
If you want to learn the basics of FEM, take this book. First half of the book is an excellent introduction to FEM. It explains nicely even the mathematical background, so you can basically "plug and play", make your first FE programs and solve the typical structural problems. But then, authors start to explain everything else regarding the linear FEM, in a very condensed way, and the book becomes very difficult to read. Exercises are nicely prepared and for their solving sufficient help can be found in the text.

Great book focussing on the actual method
This is a Great Book for a beginner to FEM and it clearlyfocusses on the method rather than vast theory.

I have found thisbook extremely useful for developing the Java based FEM Software at my site...

Fairly general, a good start for undergraduate level
As a finite element software developer, I find this book is so designed that it is relatively easy to understand by any level of graduate student. The first few chapters on 1-dimensional finite element equation formulationis the best I have ever seen so far in the "sea" of finiteelement text. Other than that, the overall content of the book is rather"light". It should be read by all users who use finite element.

Very good theoretical explanation of FEA
This book provides a very good explanation of the math behind finite element analysis, but no information on using FEA in a real-world setting. ... Read more

Product Description
Developed from the authors, combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems governed by partial differential equations. 

Focusing on the formulation and application of the finite element method through the integration of finite element theory, code development, and software application, the book is both introductory and self-contained, as well as being a hands-on experience for any student.

This authoritative text on Finite Elements:

• Adopts a generic approach to the subject, and is not application specific
• In conjunction with a web-based chapter, it integrates code development, theory, and application in one book
• Provides an accompanying Web site that includes ABAQUS Student Edition, Matlab data and programs, and instructor resources
• Contains a comprehensive set of homework problems at the end of each chapter
• Produces a practical, meaningful course for both lecturers, planning a finite element module, and for students using the text in private study.
• Accompanied by a book companion website housing supplementary material that can be found at http://www.wileyeurope.com/college/Fish

A First Course in Finite Elements is the ideal practical introductory course for junior and senior undergraduate students from a variety of science and engineering disciplines.  The accompanying advanced topics at the end of each chapter also make it suitable for courses at graduate level, as well as for practitioners who need to attain or refresh their knowledge of finite elements through private study. ... Read more

Customer Reviews (6)

Great book...but...
This is a great book for introductory finite elements. All the basic and fundamental stuff is there. Too bad, though, that it's an almost word for word copy of the book by Ottosen and Petersson (1992!). And, as is often the case, the original is just that little bit better - so minus one star.

Excellent first course on the finite element analysis
The book is intended as an introductory course on the finite element analysis for undergraduate and graduate students. It is written very clearly, so the material could be comprehended by the target audience. At the same time one of the chapters of the book is dedicated to the commercial finite element program, allowing students to understand how finite element method could be used for solving real life engineering problems. Student version of Abaqus is included in the book, which allows students to experience the entire process from creating a model to viewing and analyzing the results.

Review of "A First Course in Finite Elements"
I found the book "A First Course in Finite Elements" very clearly
written and pedagogically sound. It has a very nice blend of theory and implementation of the finite element method written by two
leaders (J. Fish and T. Belytschko) in the field. It provides a
lucidand logical introduction to
(1) Direct approaches for discrete systems,
(2) Strong and weak forms for 1-D problems,
(3) Quadrature,
(4) FE formulation,
(5) Strong and weak forms for multidimensional scalar field problems,
(6) Approximations of trial solutions, weight functions,
(7) FE approximations for vector field equations and
(8) FE formulations for beams. The text is anexcellent reference, that
will be added to the course syllabuses this year for both a senior
undergraduate Finite Element class and a first year graduate class that
I teach at UC Berkeley. The bookprovides a clear and concise introduction
and very well-thought-out overview, to this very large field, and I strongly recommend itto students and instructors that are looking for amodern introductory Finite Element textbook.

Excellent first course on finite elements
This book is very well written by two top experts in the field. The authors clearly explain the theory and give practical examples that are easy to follow. The chapters are well organized leading the reader from structural analysis of trusses to multi-dimension problems in Elasticity. The last chapter (available on the web) contains MATLAB codes for the examples solved in the book which the reader can easily modify for his/her needs. On top, the book also comes with ABAQUS CD for students including a self contained tutorial.
All in all, I strongly recommend the book for first time readers. It is definitely worth the bang for the buck!

Excellent introductory book for undergraduates
This book is an excellent introduction to FEM particularly for undergraduates, or anyone who were not previously exposed to FEM ideas. While there are a large number of books on FEM out there, many of them require quite a bit of understanding of continuum mechanics, pde solution methods, etc. and may easily overwhelm undergraduate audience. This book provides all the essentials needed to have a fundamental understanding of FEM and equally importantly, be able to write simple codes and use Abaqus to solve problems. The authors of the text are two of the best and most famous researchers in the subject, making the text all the more insightful. ... Read more

Product Description
Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series.

New material in this edition includes sub-grid scale modelling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing.

* A complete, stand-alone reference on fluid mechanics applications of the FEM for mechanical, aeronautical, automotive, marine, chemical and civil engineers.
* Extensive new coverage of turbulent flow and free surface treatments
* Accompanied by downloadable FEM source code ... Read more

Customer Reviews (1)

One of the better finite mathematics texts
This text introduces several important types of mathematics,
but not in a large amount of detail.
This text can be taught without calculus so that it could be used in high school as well as college.
"Finite mathematics" here is an introduction to matrices ( and linear algebra), graphs and probability. I found the short section on Markov chains very good with the use of digraphs. ... Read more

Product Description
Barry Simon, I.B.M. Professor of Mathematics and Theoretical Physics at the California Institute of Technology, is the author of several books, including such classics as Methods of Mathematical Physics (with M. Reed) and Functional Integration and Quantum Physics. This new book, based on courses given at Princeton, Caltech, ETH-Zurich, and other universities, is an introductory textbook on representation theory. According to the author, "Two facets distinguish my approach. First, this book is relatively elementary, and second, while the bulk of the books on the subject is written from the point of view of an algebraist or a geometer, this book is written with an analytical flavor".The exposition in the book centers around the study of representation of certain concrete classes of groups, including permutation groups and compact semisimple Lie groups. It culminates in the complete proof of the Weyl character formula for representations of compact Lie groups and the Frobenius formula for characters of permutation groups. Extremely well tailored both for a one-year course in representation theory and for independent study, this book is an excellent introduction to the subject which, according to the author, is unique in having "so much innate beauty so close to the surface". ... Read more

Customer Reviews (3)

Exellent for analysts
This is an excellent treatment of representation theory, especially focusing on the concrete problem of characterizing all the irreducible representations for some specific important groups such as SU(n) and the symmetric groups S_n. It gets to the point fast. One nice feature is that the book feels as if it is written for analysts and mathematical physicists who need to understand representations, but may not have the strongest background in algebra. The book is entirely self-contained, including all necessary background in algebra such as the Sylow theorems.

Learn from the master
Math books are usually difficult to read.This book is no exception.But it teaches the right material, at the right pace.It has been an invaluable part of my library.

I would never recommend this book to anyone but my worst enemy.
Barry Simon uses inconsistent and not previously defined unconventional notation when describing his interpretation of group representations.I used this book in an independent study course at the University of Michigan, and we essentially had to first translate to the correct form of the mathematics Barry was sacrilegeously butchering before then trying to understand the new material.Overall, it was a painful experience and I now have to relearn representation theory from a competent mathematician (e.g. Humphreys).Even under penalty of death, I would never recommend this book to anyone but my worst enemy. ... Read more

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Market-leading FINITE MATHEMATICS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Tenth Edition, relates math to your life in a new and fascinating fashion. By bringing the perfect combination of teaching and technology to your fingertips, along with enlightening real-life examples, it gives you the tools to succeed with your studies. And when it comes to review time, the Tenth Edition offers an exciting array of supplements that maximize your efforts and improve your results. ... Read more