Book Description
This book presents an introduction to linear algebra and to some of its significant applications. It covers the essentials of linear algebra (including Eigenvalues and Eigenvectors) and shows how the computer is used for applications.
Emphasizing the computational and geometrical aspects of the subject, this popular book covers the following topics comprehensively but not exhaustively: linear equations and matrices and their applications; determinants; vectors and linear transformations; real vector spaces; eigenvalues, eigenvectors, and diagonalization; linear programming; and MATLAB for linear algebra.
Its useful and comprehensive appendices make this an excellent desk reference for anyone involved in mathematics and computer applications.
Customer Reviews:
Unhelpful in the extreme.......2007-09-14
Chapters 1, 2, and 4 are pretty well done up to a point. The explanations, examples, and problems are well written and can be followed without cross referencing other texts and pages on the web. You will learn the basics here without too much of a fuss.
Unfortunately, the book has a nasty habit of circular proofs. The author leaves out vital parts of the explanation in the text, referencing other parts of the text, which reference other parts of the text, and then ask you to solve the underlying proof yourself without explaining the fundamentals at all. The book also references FORWARD into chapters you have not gotten to yet in order to solve current proofs. This is not at all helpful. If your professor requires you to solve any of the proofs in any section you will be lost. Good luck.
Chapter 6 is an all-around disaster. Unless you have seen the material before, you will not get it here. The explanation at the beginning of the chapter cannot really be called an explanation. It is more of an obfuscation. The notation is not explained, it is assumed you know it or can figure it out on your own. The proofs in this chapter are a maze of unexplained concepts and hidden information.
Chapters 8 and 10 are more like the first chapters in usability, but the proofs are just as jumbled.
Intervening chapters from the ones I have described are applications of the material from previous chapters and are optional.
Buy another book (or two or three) as a supplement. You will need it.
One of the WORST textbooks I ever used.......2006-08-31
This book sucks at explaining, half the examples in this book just refer you to other examples/exercises that you have to complete yourself. HOW DOES THIS HELP IF YOU HAVE TO DO THE PROBLEM YOURSELF??!? Half the practice problems are theoretical questions that do not help you in understanding the concept whatsoever. The only thing it does is confuse and frustrate you more. Whoever uses this textbook to teach is obviously incompetent and/or has not looked it over at all.
A math book.......2003-07-17
This isn't the easiest linear text I've scene. This also isn't the hardest. The book has a ton of applications, which is good if you're an applied math, engineering, or science major. If your interests are in pure math the applications are still a nice little side note. The book's explanations are explained as clearly as possible without giving up any rigor. At first I didn't like the book, but after looking at several other linear textbooks I realized that these authors did a good job of explaining a difficult topic.
Best math book I've ever had.......2000-05-09
This book is a fabulous resource... explains things in as clear a way as Linear Algebra can be. If you want deeper understanding, many concepts are described in more depth, and most proofs are given in detail. It's not filled with cartoons and useless pictures like some textbooks, but clear, concise explanations of what turns out to be an interesting and fairly simple area of mathematics.
Average customer rating:
- prof. review
- A First Course in Fuzzy Logic
- Outstanding, for people who are interested in this area
|
A First Course in Fuzzy Logic, Third Edition
Hung T. Nguyen , and
Elbert A. Walker
Manufacturer: Chapman & Hall/CRC
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Similar Items:
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An Introduction to Fuzzy Logic for Practical Applications
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Fuzzy Logic for Beginners
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Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions
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Fuzzy Logic: The Revolutionary Computer Technology That Is Changing Our World
ASIN: 1584885262 |
Book Description
A First Course in Fuzzy Logic, Third Edition continues to provide the ideal introduction to the theory and applications of fuzzy logic. This best-selling text provides a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world applications. New in the Third Edition: · A section on type-2 fuzzy sets - a topic that has received much attention in the past few years · Additional material on copulas and t-norms · More discussions on generalized modus ponens and the compositional rule of inference · Complete revision to the chapter on possibility theory · Significant expansion of the chapter on fuzzy integrals · Many new exercises With its comprehensive updates, this new edition presents all the background necessary for students and professionals to begin using fuzzy logic in its many-and rapidly growing- applications in computer science, mathematics, statistics, and engineering.
Customer Reviews:
prof. review.......2006-01-15
this is the best intro to fuzzy ever writen....im a university prof on the subject of AI so...Ive read tons of books on the subject and this is by far the best intro to fuzzy even for those who ll be learning on their own... very simple put and yet very abording on the matter!
A First Course in Fuzzy Logic.......1999-12-22
If you are looking for a book on Fuzzy Logic Theory, this is a good book. It explains the mathematical basis of fuzzy logic, the mathmatical symbols used, provides proofs for theorems, etc. The chapters and sections are clearly labeled in the table of contents, making it easy to zero in on a topic. It is a College Text Book, with problems to solve at the end of each chapter. Selected problems have answers in the back of the book. Unfortunately, that wasn't the type of book that I expected or needed. I was looking more for the hands on, how to, type of book. That is the only reason it did not get 5 stars.
Outstanding, for people who are interested in this area.......1999-09-21
This is the clearest explanation and application of fuzzy logic that has been published. It is thorough, without being arcane or pedantic.
Book Description
This book presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic systems; and methods for parabolic and hyperbolic differential equations and techniques of their analysis. The book is accompanied by an appendix that presents brief back-up in a number of mathematical topics.
Customer Reviews:
Informal, nice text.......2006-04-13
A very informal style of writing with lots of explanation. He doesn't skip large steps like in the old-fashioned terse style of math texts, which makes it very readable, though some readers may not like it. Not very rigorous, but he's upfront about it.
The original version from 1996 has quite a few errors, and the author maintains information on errata on his website. The most recent reprinting has corrected most of these errors. So, even though there is only a single edition, some versions have errors and some don't. So, BEWARE BUYING USED EDITIONS because they will most likely be from an earlier printing and thus have more errors. I assume the new version on amazon is the corrected version.
Excellent for a graduate course on numerical DE.......2004-03-02
This is an excellent reference and textbook for someone hoping to go beyond the introduction to numerical DE found in any of the standard numerical analysis textbooks. It is not a research monograph, but is also not easy reading. It has already become a fairly standard reference in the literature because of its complete coverage and further references to more specialized sources. I have used it as the textbook for a graduate course on numerical differential equations. I highly recommend it for that purpose and as a reference for someone doing independent reading.
Book Description
Outstanding text treats numerical analysis with mathematical rigor, but relatively few theorems and proofs. Oriented toward computer solutions of problems, it stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.
Customer Reviews:
5 Stars for undergrads .......2005-09-13
If you are looking in to 3d Nurbs buy this book. If you are looking to build a robot from scratch buy this book. It may mean taking calculus and linear algebra but the algorithms are very advanced and quick. This is the math that every corporation would like you to have if you are an engineer. Plus it helps you understand many of the mathematicians. After reading this book you have excellent under pinning for your name.
P.S. This may be good for white hatter as well but I don't know since I am not into cryptography.
P.P.S. Did you always think that Sin() was a magical function? Well you will learn more than you every thought possible with this book. The optimization on you code can go through the roof. Plus this seems to be (but I still have not confirmed) a good way of understanding O notation and not to mention NP complete algorithms (Such what classifies a NP Complete problem).
Archaic First Course in Numerical Analysis.......2005-02-11
A constant in numerical analysis for years the second edition has not kept pace with the way mathematics is contemporarily taught to engineers and scientists. The book appears to assume an older format of learning mathematics was used by the reader. The reader will soon be seeking additional texts to make this one understandable.
A classic and a bargain at that.......2001-07-10
I lost my original copy during my last move. Therefore, I was overjoyed that an inexpensive paperback version had been printed. A must for the numerical analyst's library.
good intermediate text on numerical analysis.......2001-06-07
This is a good intermediate text on numerical analysis. The development of the underlying real variable theory is much more rigorous than the closely related and more recent text "Numerical Recipes in C". Also, there is more attention paid to function theoretic considerations such as notions of continuity and compactness. This is basically an introductory numerical functional analysis textbook. There are numerous good examples sprinkled throughout the text. To get the most out of this book, you need a working knowledge of advanced calculus, real analysis and linear algebra.
Simply the best you can get (at this price).......2001-06-01
This is the republication of the 2nd edition published by McGraw-Hill, 1978, with minor corrections. This Dover edition also includes 50 pages of Hints and Answers to Problems, which is very helpful. It is one of the 14 reference books listed in the Numerical Recipe in C: The Art of Scientific Computing, and the authors of the Recipe book says, of the 14 books, "These are the books that we like to have within easy reach." A. Ralston, of SUNY Buffalo, also co-wrote a book, Discrete Algorithmic Mathematics(DAM), which is easy and fun to read. But I am puzzled by the words - "Well-known and highly regarded even by those who have never used it." - on the back cover of the A K Peters edition of DAM. What do they mean?
Book Description
This text provides an introduction to the entire modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem solving process to enhance a student's problem solving capabilities. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible, beginning with short projects, the book facilitates their progressive development and confidence in mathematics and modeling.
Customer Reviews:
If ur undecided about pure or applied math, thats the right book to know.........2006-01-16
Well, I was undecided about pure or applied mathematics.
I was more thinking of applied mathematics.
I took a course that uses this book.
Two weeks after the class began, I dropped the course, and I knew I am a pure mathematics guy!
(so the stars are for letting me know about what field I like, not the material presented in the book).
I am not saying anyone who starts reading this book is going to switch to pure mathematics.. it should not be the case, however, I think it has the essence of applied mathematics, so if u really like applied mathematics, ur going to very much appreciate this book.
The Text for Mathematical Models of Reality.......1998-04-07
From discrete to continuous modelling, with many proyects and examples, I like very spacially this book for the undergraduate level. The presentation is very clear, but rigurous, making experience the reader through the models. It focuses on the interpretation and ends with some tools for modelbuilding. For a start of mathematical model understanding of reality this book is specially good, clear and completely well written. Good job Mr. Giordano and Weir! See also: Mesterton-Gibbons:An aproach to Mathematical Modelling, Fowler: Mathematical Models in the Sciences, Beltrami: Mathematics for Dynamical Modeling, Morrison: The Art of Modeling Dynamical Systams and Giordano: Differential Equations a Modeling Aproach.
Book Description
Jon Lee focuses on key mathematical ideas leading to useful models and algorithms, rather than on data structures and implementation details, in this introductory graduate-level text for students of operations research, mathematics, and computer science. The viewpoint is polyhedral, and Lee also uses matroids as a unifying idea. Topics include linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Problems and exercises are included throughout as well as references for further study.
Average customer rating:
|
Modern Data Analysis: A First Course in Applied Statistics
Lawrence C. Hamilton
Manufacturer: Wadsworth Publishing Company
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ASIN: 0534128467 |
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- Excellent introduction
- Soft and pleasing intro to the (mathematical) coding theory
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Coding Theory: A First Course
San Ling , and
Chaoping Xing
Manufacturer: Cambridge University Press
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ASIN: 0521821916 |
Book Description
Concerned with successfully transmitting data through a noisy channel, coding theory can be applied to electronic engineering and communications. Based on the authors' extensive teaching experience, this text provides a completely modern and accessible course on the subject. It includes sections on linear programming and decoding methods essential for contemporary mathematics. Numerous examples and exercises make the volume ideal for students and instructors.
Customer Reviews:
Excellent introduction.......2005-01-25
Pros:
1. Rephrases of theorems in more understandable words other than just mathematical terms.
2. Use of analogy is particularly helpful.
3. Very readable proofs -- just about the right amount of details.
Cons:
1. Too many trivial examples in the first chapter.
Soft and pleasing intro to the (mathematical) coding theory.......2004-09-22
A very soft introduction to coding theory. All the necessary information in finite field theory etc. are reminded of and short proves are also included. It is 25 years ago that I studied mathematics and it still was easy to follow. If you start from scratch you obviously have to invest some time to get a grasp of the mathematics before you can understand the application to coding.
After having read this book I finally know what this error messages of "Failed 312 cyclic redundancy checks" actually mean and why cyclic codes are used in physical networks (good burst correction properties).
If you want to dig deeper in the subject and you want to learn about nonlinear codes and more: than the authors tend to reference Neil J. A. Sloane, Florence Jessie MacWilliams "The Theory of Error-Correcting Codes".
Book Description
This book offers a new approach to introductory scientific computing. It aims to make students comfortable using computers to do science, to provide them with the computational tools and knowledge they need throughout their college careers and into their professional careers, and to show how all the pieces can work together. Rubin Landau introduces the requisite mathematics and computer science in the course of realistic problems, from energy use to the building of skyscrapers to projectile motion with drag. He is attentive to how each discipline uses its own language to describe the same concepts and how computations are concrete instances of the abstract.
Landau covers the basics of computation, numerical analysis, and programming from a computational science perspective. The first part of the printed book uses the problem-solving environment Maple as its context, with the same material covered on the accompanying CD as both Maple and Mathematica programs; the second part uses the compiled language Java, with equivalent materials in Fortran90 on the CD; and the final part presents an introduction to LaTeX replete with sample files.
Providing the essentials of computing, with practical examples, A First Course in Scientific Computing adheres to the principle that science and engineering students learn computation best while sitting in front of a computer, book in hand, in trial-and-error mode. Not only is it an invaluable learning text and an essential reference for students of mathematics, engineering, physics, and other sciences, but it is also a consummate model for future textbooks in computational science and engineering courses.
- A broad spectrum of computing tools and examples that can be used throughout an academic career
- Practical computing aimed at solving realistic problems
- Both symbolic and numerical computations
- A multidisciplinary approach: science + math + computer science
- Maple and Java in the book itself; Mathematica, Fortran90, Maple and Java on the accompanying CD in an interactive workbook format
Professors: A supplementary Solutions Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://pup.princeton.edu/solutions.html
Customer Reviews:
unusual teaching of numerical analysis and symbolic algebra.......2005-08-06
Landau takes a refreshingly different approach to teaching students scientific computation. The field can be considered as two parts. One, the older and more heavily used, is about the "traditional" numerical analysis. You crunch numbers, and you get numbers out. The other approach is symbolic algebra.
Usually a text only deals with one type. Here, he teaches both. Plus, for each type, he offers the choice of two languages. For the numerical analysis, there is Fortran, version 90, and Java. While the symbolic algebra is performed using Mathematica or Maple. Ecumenical indeed!
These are excellent choices of languages. Fortran still dominates legacy numerical analysis, with massive libraries of subroutines that one has to work with or maintain. While Java lets the student learn good object oriented practices.
And Mathematica and Maple are perhaps the most common symbolic packages available.
Average customer rating:
- This book is a mess
- come to read prepared
- A wonderful introduction to stochastic processes
- Better have a math PHd
- A comprehensive, systematic, and intuitive introduction
|
A First Course in Stochastic Processes, Second Edition
Samuel Karlin , and
Howard M. Taylor
Manufacturer: Academic Press
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Similar Items:
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A Second Course in Stochastic Processes
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A Course in Probability Theory Revised
ASIN: 0123985528 |
Book Description
The purpose, level, and style of this new edition conform to the tenets set forth in the original preface. The authors continue with their tack of developing simultaneously theory and applications, intertwined so that they refurbish and elucidate each other.
The authors have made three main kinds of changes. First, they have enlarged on the topics treated in the first edition. Second, they have added many exercises and problems at the end of each chapter. Third, and most important, they have supplied, in new chapters, broad introductory discussions of several classes of stochastic processes not dealt with in the first edition, notably martingales, renewal and fluctuation phenomena associated with random sums, stationary stochastic processes, and diffusion theory.
Customer Reviews:
This book is a mess.......2006-04-11
This book was published back in the 70s, before the advent of LaTeX. And it shows. In particular, it is no good as a reference for this reason: each time you try to look something up, the page is too overcrowded with symbols to find what you're looking for. In addition, to use this book to learn stochastic processes puts you through a whole lot more trouble than you'll probably need. Each deduction in the book is long, boring, and hard. Since I've read other books which are not, I'm going to assume it's the fault of the authors and their lack of LaTeX.
This book, not unlike quite a few in probability and statistics (e.g. Billingsley), is popular because old professors used it and don't bother to find a new one.
come to read prepared.......2002-11-30
Before going to the book, one advise is to have prerequisite to this topic, i.e. you need to come prepared with strong statistic and probability background since many of the derivation and proof assume the reader is well into the probability theory. I took the class from Stanford department of statistics, man, it doubled the time I spend comparing other statistics students since my training on probability is rather self-taught and not quite systemetic. Well, overall, it's a classic..
A wonderful introduction to stochastic processes.......2001-11-21
This is one of those rare mathematical books that is both deeply
informative, and a sheer pleasure to read. The book is written in a
delightful old mathematical style, where the authors take you by hand
through the difficult passages and derivations. The intuition about
stochastic processes is so well conveyed, and the mathematics so well
explained, that the book can be read with little or no recourse to
pencil and paper, much as if it were an armchair book. The book
presents a comprehensive overview of the theory of stochastic
processes, and I wholeheartedly recommend it to anyone interested into
learning their foundations.
Better have a math PHd.......2001-06-08
Very mathematical oriented, not at all intuitive. Of limited use to financial quants without extensive formal training in advanced mathematics.
A comprehensive, systematic, and intuitive introduction.......2000-06-21
A remarkable well organised work. Every chapter contains all needed definitions and formulas, deep discussions of their meanings, proofs, and examples, all extraordinarily well blended. Also every chapter has two set of problems. The 'elementary problems' require applying the material covered. The 'problems' require to prove results, they provide an excellent ground to develop this skill. Some times the classic format proof-theorem is used, but usually the ideas flow: starting with a problem, introducing necessary definitions and finding a solution eventually a theorem is stated as a natural consequence.
The writing style is similar to the immortal 'Introduction to Probability Theory' and its Applications' by Feller, with a similar mixture of rigorous mathematics and probabilistic intuition. Though 'A First Course...' only reviews the basics, it has some common topics with Feller's and covers more advanced topics.
The style of the book is the perfect opposite of 'Introduction to probability Models' by Sheldon Ross, which is written in a much more flamboyant style, full of surprises and amazement, and requires the constant use of pencil and paper to follow the developments. These two sources can be combined to master the subject, despite the fact that students often find Ross's magnificent work too hard to follow. (Of course, some will say that it is a bad book, and that the professor can't teach...)
Even though 'A First Course...' is rarely used as a textbook (bad marketing?) after taking courses on multivariable calculus and basic probability, an undergraduate student is ready to read this book. Measure theory is barely used, and it is a surprise to see how far can one go using only probabilistic intuition. The book is also well suited to doctoral courses.
The consecutive chapters on Martingales and Brownian Motion are unparalleled, a unique collection of basic examples is used to illustrate results on Stopping Times and Convergence. Also, Measure Theory is introduced at this point in a very appealing manner. These concepts are then used to obtain classical results on Brownian Motion and other topics. Students interested in Stochastic Calculus (not covered in this book) and its many application in Finances, Engineering, Operations Research and Computer Science can acquire solid foundations here.
The chapter on Stationary Processes is also very special, it provides solid foundations for Econometrics and Time Series and it is often quoted in research papers.
In short: an excellent book to acquire solid foundations on Stochastic Processes, the only source I know for a simple and systematic introduction of certain topics.
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