Book Description
A First Course in Information Theory is an up-to-date introduction to information theory. In addition to the classical topics discussed, it provides the first comprehensive treatment of the theory of I-Measure, network coding theory, Shannon and non-Shannon type information inequalities, and a relation between entropy and group theory. ITIP, a software package for proving information inequalities, is also included. With a large number of examples, illustrations, and original problems, this book is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in related fields.
Customer Reviews:
Great, unique, modern - but also advanced.......2007-05-08
This is certainly one of the best textbooks on information theory. I would put it in line with the ones by Gallager and Cover/Thomas. It gives a fresh and modern perspective on information theory and prepares the reader very well for the new hot topics. It is well written, provides lots of examples, all good and interesting. The topics covered in this book span from the very basics to almost state of the art. Thus - and this is the only point I can criticize - some of the material may not be suited for a first course in information theory, rather than for a second course. To sum up, I can really recommend this book to anyone studying this topic.
An advanced book on Information Theory.......2007-03-26
This book provides the most important results on Information Theory, and it is up to date. It provides to the reader the necessary background and the important notions about this subject. It is well organized, although in some parts it can be a bit hard to understand some of the proofs.
I recommend this book, specially for advanced readers.
From insight to cutting edge research in information theory!.......2005-01-30
This book really motivates me to learn information theory and to discover the insight given by the subject. I had no or very little background on information theory before I took Professor Yeung's course. Now I am deeply interested in the subject (Of course, you do not need to take the course in order to fall in love with the book). The book may not be a no brainer, but its clear explanations of the concepts and mind-opening analytical examples easily led me not only to understand the subject very well, but also to realize the close relationship between math and information. That's the greatest part of the book. Later chapters in the book introduce many cutting edge research results in the subject which gives me a lot of ideas for research directions. If you are serious about learning information theory, this is the book you will love. Cover and Thomas book "Elements of Information Theory" is also good, but it is a bit less insightful (i.e., it is really a "text-book" :)), and the explanations of concepts are a bit on the shallow side. I suggest to use it as a reference to Yeung's book.
Book Description
Discrete mathematics has now established its place in most undergraduate mathematics courses. This textbook provides a concise, readable and accessible introduction to a number of topics in this area, such as enumeration, graph theory, Latin squares and designs. It is aimed at second-year undergraduate mathematics students, and provides them with many of the basic techniques, ideas and results. It contains many worked examples, and each chapter ends with a large number of exercises, with hints or solutions provided for most of them. As well as including standard topics such as binomial coefficients, recurrence, the inclusion-exclusion principle, trees, Hamiltonian and Eulerian graphs, Latin squares and finite projective planes, the text also includes material on the ménage problem, magic squares, Catalan and Stirling numbers, and tournament schedules.
Customer Reviews:
Concise and non-trivial.......2004-05-21
Discrete maths underpins most of modern cryptography and information theory. Quite different from continuum maths like calculus that a student might already be familiar with. Here, Anderson provides us with a concise introduction to the subject, that assumes no prior coursework in this field.
He manages in a short text to cover a wide range of reasonably advanced issues, like the finite projective planes and magic squares. In keeping with many of the Springer maths texts, the level of analysis is not trivial. (Not a Dummy's book!) Still, with careful attention, a competent student should be able to assimilate these ideas.
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?
Average customer rating:
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Graphs: An Introductory Approach--A First Course in Discrete Mathematics
Robin J. Wilson , and
John J. Watkins
Manufacturer: Wiley
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ASIN: 0471615544 |
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The only text available on graph theory at the freshman/sophomore level, it covers properties of graphs, presents numerous algorithms, and describes actual applications to chemistry, genetics, music, linguistics, control theory and the social sciences. Illustrated.
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A First Course in Discrete Dynamical Systems (Universitext)
Richard A. Holmgren
Manufacturer: Springer
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An Introduction to Chaotic Dynamical Systems, 2nd Edition
ASIN: 0387947809 |
Book Description
Discrete dynamical systems are essentially iterated functions. Given the ease with which computers can do iteration, it is now possible for anyone with access to a personal computer to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures are beautiful in their own right and are the subject of this text. The level of the presentation is suitable for advanced undergraduates with a year of calculus behind them. Students in the author's courses using this material have come from numerous disciplines; many have been majors in other disciplines who are taking mathematics courses out of general interest. Concepts from calculus are reviewed as necessary. Mathematica programs that illustrate the dynamics and that will aid the student in doing the exercises are included in an appendix.
Customer Reviews:
An excellent book.......2004-05-27
This is an excellent book for teaching for mathematics students. Besides the standard material it contains a chapter about some numerical methods as dynamical systems. I strongly propose that a third updated edition is made.
Book Description
This highly regarded work fills the need for a treatment of elementary discrete mathematics that provides a core of mathematical terminology and concepts as well as emphasizes computer applications. Includes numerous elementary applications to computing and examples with solutions.
Book Description
This volume introduces computational and mathematical techniques for modeling, simulating, and analyzing the performance of various systems.
Helps readers gain a better understanding of how systems operate and respond to change by: 1) helping them begin to model, simulate, and analyze simple-but-representative systems as soon as possible; and 2) whenever possible, encouraging the experimental exploration and self-discovery of theoretical results before their formal presentation. Features an approachable writing style that emphasizes concepts and insight without sacrificing rigor. Provides C software as source code for running simulations developed in the book, eliminating the need for readers to do all their programming from scratch. Emphasizes an algorithmic approach throughout.
A useful reference for industrial engineers.
Customer Reviews:
Good introduction to a multidisciplinary topic.......2007-06-05
This textbook provided me with a solid introduction to a complex but interesting field of study. As a computer science student, it provided me with a much-needed understanding of mathematical topics (random variate generation and statistics) while keeping me interested with challenging programming problems.
I have picked up a copy of the popular simulation textbook "Simulation Modeling and Analysis" since taking my "Discrete Event Simulation" course. While the two books cover similar material, I think that "Discrete Event Simulation" moves through the material faster, focuses on some of the more important (and challenging) issues, and keeps the reader more engaged along the way.
Considering how widely modeling and simulation are used in science, engineering, and business today, I think that a course based on this book would be a valuable addition to many undergraduate and graduate curricula.
Very hard topic .......2007-04-14
This is good book\,while I did not really understand them all. I bought this book for Modeling and simulation class. Because it was online class. I realy read this book. I could not read the whole contents but I read most of it. Random number theory was very interesting.
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- Great Introduction to Coding Theory
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A First Course in Coding Theory (Oxford Applied Mathematics and Computing Science Series)
Raymond Hill
Manufacturer: Oxford University Press, USA
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Error-Correcting Codes and Finite Fields. Student Edition (Oxford Applied Mathematics and Computing Science Series)
ASIN: 0198538030 |
Book Description
Algebraic coding theory is a new and rapidly developing subject, popular for its many practical applications and for its fascinatingly rich mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes. Based on courses given by
the author over several years to advanced undergraduates and first-year graduated students, this guide includes a large number of exercises, all with solutions, making the book highly suitable for individual study.
Customer Reviews:
Satisfied Customer.......2002-09-24
Prompt delivery, book was in great shape. I'd buy my next textbook this way!
Great Introduction to Coding Theory.......2000-03-27
The greatest quality of this book is that all the author expects the reader to have is a basic mathematics background (a Discrete Structures background of basic Set Theory). It contains consise explanations and straightforward proofs to all the essential theorems of the subject,but, fortunately, is NOT too elementary that it loses its true mathematical appeal. To top it all, it is chock-full of excellent applied problems in communications, image transmission, and even a party trick here or there (oh yes, friends WILL be impressed when you can error-correct an ISBN!).
In short, I think this book serves as a wonderful textbook into introductory Coding theory. And as for the subject of Coding Theory in general, maybe to spark a bit more interest in some potential customers, a thorough study of the theory will bring together all types of Mathematics (from algebra, calculus, number theory, set theory, finite geometry, and linear algebra).
All will be revealed!
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