Subjects:  1. Combinatorics    2. Discrete Mathematics    3. General    4. Graph Theory    5. Graphic Methods    6. Mathematics    7. Measure-preserving transformat    8. Measure-preserving transformations    9. Ramsey theory    10. Science/Mathematics    11. Calculus & mathematical analysis    12. Combinatorics & graph theory   

Reviews (6)

A good start
Historically, combinatorial topology was a precursor to what is now the field of algebraic topology, and this book gives an elementary introduction to the subject, directed towards the beginning student of topology or geometry. Due to its importance in applications, the physicist reader who is intending eventually to specialize in elementary particle physics will gain much in the perusal of this book. Splendidly intuitive yet rigorous
This covers the basics of algebraic topology with simplexes, covering in essence the fundamental ideas behind of the work of Poincare, Brouwer, and Alexander. He proves the Jordan curve theorem, classifies all compact surfaces, and the relationship with vector fields. The homology groups are defined and used. An excellent read
Ignore those that suggest this book is too "elementary". This is a wonderful text that concretizes the more abstract notions of algebraic topology. True, it should not be your only text on algebraic topology, andthe proofs are not as rigorous as a pedant might want, but it clearlyconveys the geometric underpinnings of topology and deserves a space on anytopologist's bookshelf. ... Read more

Subjects:  1. Algebraic topology    2. General    3. Geometry - General    4. Mathematics    5. Science/Mathematics    6. Combinatorics & graph theory    7. Geometry    8. Mathematics / General   

Subjects:  1. Algebra - Abstract    2. Combinatorial Analysis    3. Combinatorics    4. General    5. Mathematics    6. Science/Mathematics    7. Word problems (Mathematics)    8. Algebra    9. Combinatorics & graph theory    10. Mathematics / General    11. Mathematics / Probability    12. Medical-General   

Reviews (4)

I have so many good things to say about this book...
This book is absolutely precious!It is a little bit weird, but you can get used to it.This book's strongest points are that it is easy to jump around in it, and it contains a wealth of material.It also has incredible numbers of exercises, of greatly varying difficulty levels.
Good Introduction, too many typos
I am, what Prof. Bollobas would call a hobby mathematician. Some popular science book arouse my interest in graph theory, and the author of that popular science book recommended this book. I feel it was a vey good introduction to the subject, even though the proofs become challenging at times. His motivation for the subject is always concise but precise, one cannot but notice, that a master of the subject is writing about it.
Excellent in content, but somewhat challenging in narrative
Bela Bollobas has the rare gift of having both deep mathematical insights, and the ability to eloquently communicate them in a way that is accessible to the average graduate student. In his book "Modern Graph Theory", Bollobas covers just about every exciting area of the subject, and does so in an up-to-date fashion that gives the reader a big picture of each sub-area of the field. The ability to do this not only seems difficult, but also essential, since he himself has written entire books on two of the chapters (extremal graph theory, and random graphs). Just about every major important theorem (including max-flow/min-cut Theorem, and theorems by Menger, Szemeredi, Kuratowski, Erdos/Stone, and Tutte) can be found here, and thus makes this book indispensable for anyone who does research in graph theory, combinatorics, and/or complexity theory.In my opinion the true highlights of this book are indeed those areas he knows best: extremal graph theory, random graphs, and random walks on graphs, the latter of which may be the best introduction to that subject that one will find in a textbook.Read more

Subjects:  1. Graph theory    2. Graphic Methods    3. Mathematical Analysis    4. Mathematics    5. Science/Mathematics    6. Calculus & mathematical analysis    7. Combinatorics & graph theory    8. Geometry    9. Mathematics / Discrete Mathematics    10. Topology   

Subjects:  1. Graphic Methods    2. Mathematics    3. Probability & Statistics - General    4. Random graphs    5. Science/Mathematics    6. Combinatorics & graph theory    7. Mathematics / Probability   

Reviews (1)

Thorough
This was the one book assigned for a class where I did NOT have to go out and buy a few other books in order to round out the assigned text.Chartrand has written books on graph theory directed at students of many different levels, and this one is advanced -- but the keynote attribute ofthis book its thoroughness and accuracy.The proofs depend uponappropriate use of accurate definitions, and here the definitions are VERYclear and specific -- therefore in constructing the proofs in the exercisesthe student really comes to understand the meaning of the definitions andthe concepts they describe.At first I thought this book was going to beunapproachable because it does not kill you with friendly banter, but Ihave come to appreciate its solid approach and trustworthiness not to leadanyone astray mathematically.By the way, graph theory is really fun. Don't pass us the chance to study it! ... Read more

Subjects:  1. Directed graphs    2. Graph theory    3. Graphic Methods    4. Mathematics    5. Probability & Statistics - General    6. Science/Mathematics    7. Combinatorics & graph theory    8. Mathematics / Combinatorics   

Reviews (5)

daunting
This is a textbook designed for a one semester undergraduate course in cryptography.This makes it seem a little tamer than what it is.Crypto buffs will enjoy it, and there is little here than is not in some other advanced texts.What is of value is a section on RIJNDAEL, the new advanced encryption standard. This is very excellent book!!!I love this book.
If you really want to learn cryptology, this is the book. love the book
Only those who fear learningeven some moderate math in order to learnRead more

Subjects:  1. Coding theory    2. Combinatorics    3. Computer Books: General    4. Computer Graphics - General    5. Computers    6. Computers - Other Applications    7. Operating Systems - General    8. Textbooks    9. Coding theory & cryptology    10. Mathematics / Combinatorics   

Reviews (1)

What an introductory book on combinatorics should be
Little did I expect of a book that has seemingly not garnered that much attention among professors and students (at least the lack of reviews in Amazon.com might serve as a confirming instance of that speculation), but come exam time, the book proved that such prejudice is outright foolish.Read more

Subjects:  1. Combinatorial Analysis    2. Combinatorics    3. Graph Theory    4. Graphic Methods    5. Mathematics    6. Probability & Statistics - General    7. Science/Mathematics    8. Set Theory    9. Combinatorics & graph theory    10. Mathematics / Discrete Mathematics    11. Mathematics / Graphic Methods    12. Mathematics-Combinatorics    13. Mathematics-Probability & Statistics - General   

Reviews (2)

Comprehensive supplementary reference
Don't try to learn anything for the first time from this. In each of the book's 54 sections, information is delivered as bulleted lists of definitions and theorems (called "facts") and there are extensive references to the literature. To maximize brevity, there is seldom any narrative introduction and only a few brief examples. No proofs, just references to them.
Nothing more than a handbook
As the title indicates, this is not a textbook, but a handbook. Theinterest of this one is to have pointers to the literature and to cover as much as possible of graph theory, so don't expect to find much details about something particular. I don't think it's useful for anything else than having a "close to hand" access to most of graph theory, hence only three stars for this limited interest compared to the relatively high price. ... Read more

Subjects:  1. Algebra - General    2. Discrete Mathematics    3. General    4. Graph theory    5. Graphic Methods    6. Handbooks, manuals, etc    7. Mathematics    8. Science/Mathematics    9. Combinatorics & graph theory    10. Mathematics / Combinatorics   

Subjects:  1. Calculus    2. Combinatorics    3. Functional Analysis    4. Logic    5. Mathematical And Symbolic Logic    6. Mathematics    7. Philosophy    8. Science/Mathematics    9. Triangular norms    10. Mathematical logic    11. Philosophy / Logic   

Reviews (1)

The book on lattice
This book is devoted to the subject of lattice packings. It is an outstanding book with all pages interesting. It acts as a reference on the subjects of lattices. What you will find:Read more

Subjects:  1. Algebra - General    2. Combinatorics    3. Finite groups    4. Lattice Theory    5. Mathematics    6. Number Theory    7. Science/Mathematics    8. Sphere packings    9. Chemistry    10. Combinatorics & graph theory    11. Mathematics / Group Theory    12. Mathematics for scientists & engineers   

Reviews (2)

excellent for competition training
A very clearly written classic of an important topic, with lots of problems meant for mathematical competition training. Highly recommended.

Rigorous and Lucid
I wish I had this book on hand during my course in combinatorics. It is a must-have introduction for math undergrads and the general public alike. (Never let the price of a mathematics book fool you. Like a classical music CD, the value of the a math book is entirely determined by its content.) It is lucidly written, which is critical for this ostensibly simple field. Fuzzy explanations can lead readers far astray; poor examples can obscure key concepts. Michael Tucker's "Applied Combinatorics" suffers from this very problem. However, this is not so with Chen and Koh's volume. They are kind enough to provide multiple combinatorial proofs for a considerable number of problems, and they do so in the familar AMS format. There are an abundance of problems at the end of each chapter. Their chapters on Inclusion-Exclusion and recurrence relations shine brightly. Pick it up now! ... Read more

Subjects:  1. Combinatorics    2. Mathematics    3. Science/Mathematics    4. Combinatorics & graph theory   

Subjects:  1. Combinatorics    2. Graph Theory    3. Graphic Methods    4. Group Theory    5. Mathematics    6. Number Theory    7. Science/Mathematics    8. Theory Of Numbers    9. Combinatorics & graph theory    10. Groups & group theory    11. Mathematics / Number Theory   

Reviews (4)

Nice Introduction
One of the better Dover books I've picked up... but keep in mind it is a (very basic) introduction.
Concise and very well explained
Chapter on planar graphs is superbly done, with very easy to understand proofs and plenty of illustrations. Overall, a great introductory text

Graph theory in (good) words.
This book make you want to know more about graph theory. The concepts are first intuitively explained and then formally stated. The numerous examples are completely treated and then easy to follow. R. Trudeau devoted a largepart of the book to the puzzling problems of planar graphs and coloring andexplains them in a very pleasant manner. As a result, these problems almostappear as trivial (which of course is not the case).Read more

Subjects:  1. General    2. Graph theory    3. Graphic Methods    4. Science    5. Science/Mathematics    6. Algebra    7. Combinatorics & graph theory    8. Mathematics / General   

Reviews (1)

an introduction to an interesting subject
--The first part of the book is devoted to quite hard chapters on transitive, arc-transitive graph,homomorphism, etc.Read more

Subjects:  1. Algebra - General    2. Combinatorics    3. General    4. Graph theory    5. Graphic Methods    6. Mathematics    7. Science/Mathematics    8. Algebra    9. Algebraic graph theory    10. Combinatorics & graph theory    11. Mathematics / Combinatorics   

Subjects:  1. Applied    2. Business / Economics / Finance    3. Business Writing    4. Coding Theory    5. Computers    6. Cryptography/Access Control    7. Discrete Mathematics    8. Programming - Systems Analysis & Design    9. Public key cryptography    10. Science/Mathematics    11. Security - General    12. Data security & data encryption    13. Mathematics / Combinatorics   

Reviews (4)

Not up to the standard of most Schaum's outlines
I have bought and used many Schaum's outlines on various subjects in math and science, and I would say that this outline on graph theory is one of the worst. Most Schaum's outlines give you the theory in small doses, with plenty of diagrams to explain the concepts. This outline reads more like one of the textbooks on the subject, however. Theorems and their illustrations are poorly presented, and the author could not have made the subject matter drier and more unappealing if he had tried. You might be able to get something out of it if you are a student of pure mathematics, but you will definitely be disappointed in this book if you are a computer science student. If you are already using a bad textbook for a class in graph theory, this book will only add to your collection of bad unreadable texts on the subject. For computer science students, I suggest that you check out the chapters on graph algorithms in Introduction to Algorithms by Cormen et al. That book has pseudocode, explanations, and diagrams to help you work out implementations of various graphing algorithms.

This book is $$$ for a reason
This book was an absolute hell to contend with.I've taken two courses in Graph Theory, using Robin J. Wilson's Introduction to Graph Theory and this cheap broadsheet, respectively.Wilson's book is the one to use!It's extremely well-written, even fun to read--the reviews on Amazon will bear that out. Good Book. I recommend it.
In general, the book not requires study in advance, but it is better for reference. I'm a software engineer and the book's treatment of "Shortest Path" and "Connectivity" problems is very usefull. Good for fast remember of the subject. ... Read more

Subjects:  1. Applied    2. Graph Theory    3. Graphic Methods    4. Mathematical Analysis    5. Mathematics    6. Outlines, syllabi, etc    7. Problems, exercises, etc    8. Science/Mathematics    9. Study Guides    10. Combinatorics & graph theory    11. Geometry    12. Mathematics / Advanced    13. Topology   

Subjects:  1. Catalysis    2. Chemistry - Analytic    3. Chemistry - Industrial & Technical    4. Chemistry - Organic    5. Chemistry - Physical & Theoretical    6. Combinatorial chemistry    7. Handbooks, manuals, etc    8. Organic Synthesis    9. Pharmacology    10. Science    11. Science/Mathematics    12. Chemistry    13. Combinatorics & graph theory    14. Pharmaceutical technology    15. Science / Chemistry / Analytic   

Reviews (2)

Good textbook for graduate and advanced undergraduate course
I read the book and is almost self contained. No knowledge in Number Theory is assumed. Has a great combination of text and math. Last few chapters could have been better.

Assistant Researcher
An excellent book.I am a beginning cryptographer with some statistics, discrete math, user level crypto and programming under my belt - crossing over from another field.This book is an excellent read with proper amounts of examples and theorems.It is easy to follow and would make a good reference. ... Read more

Subjects:  1. Applied    2. Computer security    3. Cryptography    4. Cryptography/Access Control    5. Mathematics    6. Number Theory    7. Science    8. Science/Mathematics    9. Security - General    10. System Theory    11. Theory Of Numbers    12. Calculus & mathematical analysis    13. Data security & data encryption    14. Mathematical foundations    15. Mathematics / Combinatorics   

Reviews (1)

Best treatment of propositional calculus I know
This is an outstanding advanced undergraduate treatment of the following topics at the core of modern mathematics: set theory, equivalence and ordering relations, cardinals, ordinals, propositional logic, quantifier logic, and just enough recursion theory to explain the paradoxical undecidability theorems.Read more

Subjects:  1. Combinatorics    2. General    3. Logic    4. Logic, Symbolic and mathematic    5. Logic, Symbolic and mathematical    6. Mathematics    7. Science    8. Science/Mathematics    9. Set theory    10. Mathematics / Combinatorics