Subjects:  1. Advanced    2. Algebra - Linear    3. Combinatorics    4. Discrete Mathematics    5. Engineering - Chemical & Biochemical    6. Mathematics    7. Matrices    8. Matroids    9. Science/Mathematics    10. System analysis    11. Systems Analysis    12. Algorithms    13. Combinatorics & graph theory    14. Linear algebra    15. Mathematics / Discrete Mathematics    16. Mathematics for scientists & engineers    17. Matrizentheorie    18. Systemanalyse    19. Theorie der Matroide    20. diskrete Mathematik   

Reviews (2)

Suitable for a graduate level course
While most computer science departments require their students to take calculus, with few exceptions it is a skill that they will not use. The mathematics used by computer scientists is almost exclusively discrete in nature. In fact, assumptions concerning continuity can often lead to subtle errors in programming, the laws of algebra do not universally apply in computing. This book presents most of the key ideas of discrete mathematics applied to computing and the coverage is thorough and detailed.
Excellent reference for data structure algorithm complexity.
This excellent reference has numerous examples, definitions and exercises covering trees, graphs, linked lists etc.This book provides a great companion to any data structures text. ... Read more

Subjects:  1. Applied    2. Combinatorial analysis    3. Combinatorics    4. Computer Science    5. Discrete Mathematics    6. Mathematics    7. Science/Mathematics    8. Mathematics / General   

Subjects:  1. Algebra    2. Algebra - General    3. Computer Science    4. Discrete Mathematics (Computer Science)    5. Free groups    6. Graphic Methods    7. Linear algebraic groups    8. Mathematics    9. Science/Mathematics    10. Trees (Graph theory)    11. Combinatorics & graph theory    12. Groups & group theory    13. Mathematics / Algebra / General    14. amalgams    15. graphs    16. groups   

Subjects:  1. Advanced    2. Combinatorics    3. Mathematics    4. Science/Mathematics    5. Combinatorics & graph theory    6. History / United States / General    7. Mathematics for scientists & engineers   

Reviews (1)

A good overview of combinatorial optimisation
Combinatorial Optimisation : Networks and Matroids by Eugene Lawler examines shortest paths, network flows, bipartite matching, non bipartite matching. More importantly there is an excellent introduction to matroid theory including matroids and the greedy algorithm, matroid intersections and matroid parity problems, some of these Lawler's own results.Read more

Subjects:  1. Algorithms    2. Combinatorial optimization    3. Combinatorics    4. Computational complexity    5. Game Theory    6. Mathematical Physics    7. Mathematics    8. Matroids    9. Network analysis (Planning)    10. Science    11. Science/Mathematics    12. Mathematics / General   

Subjects:  1. Combinatorics    2. Differential Equations    3. Mathematics    4. Science/Mathematics    5. Combinatorics & graph theory    6. Mathematics / Differential Equations    7. Probability & statistics   

Reviews (1)

Interesting Problems, Too Many Mistakes
I used the book to guide me through a Combinatorics class I took in the summer of 1998. The author has presented some very interesting problems like prove that of any 10 points chosen withen an equlateral triangle ofside length 1, there are 2 whose distance apart is at most 1/3 that usesome interesting techniques such as the pigeonhole principal. The book,however contained too many mistakes. My professor said on average there isone mistake per page and he wasn't exagerating either.Luckily with hishelp, we corrected the many mistakes and then were successfully able to usethe book.I notice that the author has written a new edition.I hope mostof the mistakes have been corrected because when I pay a good sum of moneyfor a book I expect it to be good book without errors. ... Read more

Subjects:  1. Advanced    2. Combinatorial Analysis    3. Combinatorics    4. Computer Mathematics    5. Computer Science    6. Mathematics    7. Science/Mathematics    8. Textbooks    9. Combinatorics & graph theory    10. Mathematics / Advanced   

Subjects:  1. Combinatorial analysis    2. Combinatorics    3. General    4. Mathematical Analysis    5. Mathematics    6. Science/Mathematics    7. Mathematics / General   

Reviews (1)

The right place to look.
Integral equations has become (I don't know why) a somewhat misterious subject. I've heard physicists say "I have enough with differential equations. Why to study more complicated types of equations?", or"I have enough trouble with differential equations; please don't tellme there's something else", and even "Why to study integralequations? What are they good for?".Read more

Subjects:  1. Combinatorics    2. General    3. Integral Equations    4. Mathematical Analysis    5. Mathematics    6. Science/Mathematics    7. Linear Integral Equations    8. Mathematics / Combinatorics    9. Mathematics / Mathematical Analysis    10. Medical-General   

Subjects:  1. Topology - General    2. Mathematics / Advanced    3. Knot theory    4. Advanced    5. Mathematics    6. Science/Mathematics    7. Braid theory    8. Representations of groups   

Reviews (2)

Outstanding! One of my favourites!
This book gives a very concrete intro to Galois theory & field theory & would be an excellent supplement to an advanced course on algebra. It has some group theory in it but its emphasis is on field theory because its focus is ONLY on Galois theory & its applications, so you'll have to find another book on general abstract algebra. But for Galois theory this text really helped me out with its fairly concrete treatment. Look at this to get a more tangible version of more abstract stuff. Each chapter has a bibiolgraphy at the end of it & each one is a goldmine for interesting stuff about abstract algebra, history, numbers, etc.(...) One could also think of this book as a jumping-off point to all kinds of other stuff it scratches the surface of.

An excellent introduction to the field (pun intended)
Hadlock writes in a brisk, thorough style, leaving no stone unturned in what I believe to be an excellent introduction to the subject. I bought this book as an undergraduate student, upon completion of the first course in modern algebra, and it has proved to be an indispensable tool since. ... Read more

Subjects:  1. Algebra - General    2. Mathematics    3. Mathematics / Algebra / Abstract    4. Mathematics / Group Theory    5. Science/Mathematics    6. Algebra - Abstract    7. Fields & rings    8. Galois theory    9. Group Theory    10. Mathematics / Combinatorics   

Subjects:  1. Advanced    2. Dynamics    3. Mathematical physics    4. Mathematics    5. Polynomials    6. Renormalization    7. Renormalization (Physics)    8. Science/Mathematics    9. Waves & Wave Mechanics    10. Calculus & mathematical analysis    11. Combinatorics & graph theory    12. Mathematics / Advanced   

Reviews (1)

A concise catalog of theorems and conjectures.
This is a highly technical book that gathers together in one medium-sized volume (less than 300 pages) hundreds of new and classical theorems and conjectures on every conceivable type of graph coloring problem. It is primarily a mathematical treatment in Theorem-Proof style, although the proofs are left to the references (otherwise the book would have been enormous). The book consists of many short sections, each one often less than a page, formally stating a theorem or a conjecture, then briefly summarizing what is known about it, and where the results have been published. As the authors state in the preface, "We did not intend to write a textbook to be read from beginning to end, but rather a catalog suitable for browsing". It seems they have achieved what was intended; it's quite interesting to simply browse through this book.Read more

Subjects:  1. Combinatorial Topology    2. Discrete Mathematics    3. Graph Theory    4. Graph coloring    5. Graphic Methods    6. Mathematics    7. Science/Mathematics    8. Topology - General    9. Applied mathematics    10. Combinatorics & graph theory    11. Mathematics / Graphic Methods    12. Operational research   

Reviews (2)

Excellent in the beginning chapters
"Logic for Mathematicians" starts well, giving clear and formal explanations of formal logical systems and the predicate calculus.There are plenty of examples in the book, many of which clarified difficult or poorly worded definitions.I have been using this book recently to help me understand concepts that are much more tersely introduced in Elliott Mendelson's "Introduction to Mathematical Logic".This latter book may be better for it's later proofs (e.g., Godel's incompleteness theorem), but the early explanations of how the formal systems work is more easily understood from "Logic for Mathematicians".I gave it only four stars, though, because it becomes a bit less readable later on. Fairly good self-study book, but lots of typos
I bought this book as a self-study guide for mathemetical logic.It contains a thorough treatment of propositional and predicate calculus, and briefly covers related subjects such as set theory and Goedel's incompleteness theorem.Overall it is fairly good, presenting the topic in a clear concise manner.The low (for a math textbook at least) price and the fact that it contains answers to selected exercises make this a decent choice for a self-study guide.The only problem I had was the fact that this book contains many typographical errors (I have the 1988 revised edition), which can be somewhat confusing in the the early sections of the book and extremely confusing in later chapters, which are difficult enough. ... Read more

Subjects:  1. Combinatorics    2. Logic    3. Mathematical And Symbolic Logic    4. Mathematics    5. Science/Mathematics    6. Logic, Symbolic and mathematical    7. Mathematical logic    8. Mathematics / Combinatorics   

Subjects:  1. Algebra - General    2. Categories (Mathematics)    3. Combinatorics    4. Mathematics    5. Science/Mathematics    6. Topology - General    7. Category theory    8. Mathematics / Combinatorics   

Subjects:  1. Algebra - Linear    2. Combinatorial packing and cove    3. Combinatorial packing and covering    4. Combinatorics    5. Computer Bks - General Information    6. Computers - General Information    7. Discrete Mathematics    8. Information Theory    9. Mathematics    10. Science/Mathematics    11. Linear algebra    12. Mathematics / Algebra / General    13. Mathematics for scientists & engineers   

Subjects:  1. Combinatorics    2. Continuous lattices    3. General    4. Logic    5. Mathematics    6. Science/Mathematics    7. Algebra    8. Mathematical logic    9. Mathematics / Combinatorics    10. Topology   

Reviews (1)

Elegant and coherent, but a bit dry and unmotivated
This book is elegant and accessible, with a coherent presentation, but is a bit dry and unmotivated. The book would benefit from more applications, which should not be hard to find. I felt like Chapter 8 was the high point of the book, with a discussion of random walks, a matrix-tree theorem and invariant field theory.
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Subjects:  1. Congresses    2. Eigenvalues    3. Graph theory    4. Graphic Methods    5. Mathematics    6. Reference    7. Science/Mathematics    8. Combinatorics & graph theory    9. Fields & rings   

Subjects:  1. Discrete Mathematics    2. Group Theory    3. Mathematics    4. Science/Mathematics    5. Combinatorics & graph theory    6. Mathematics / Group Theory   

Reviews (2)

Lattice Theory Uber Alles?Begin here
A set with, at minimum, one binary operation is a groupoid. If a situation involves an equivalence relation or some sort of symmetry, some sort of groupoid applies. If the set has, at minimum, two binary operations, and one operation distributes over the other, you have a ringoid. Ringoids, which include the real field we all use every day, tell us much about number systems.
Excellent introduction and something more
This book presents an excellent introduction to the subject, but also goes beyond that, presenting with a fair amount of the detail the theory of Priestley representation. The excercises start at the basic level ofchecking the understanding of definitions, allowing the reader to buildconfidence out of the practice. The fact that Priestley herself co-authoredit is definitely a plus. ... Read more

Subjects:  1. Algebra - Abstract    2. Lattice Theory    3. Logic    4. Mathematics    5. Science/Mathematics    6. Combinatorics & graph theory    7. Mathematical theory of computation    8. Mathematics / Algebra / General    9. Set theory