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

Subjects:  1. Calculus    2. Mathematical Analysis    3. Mathematics    4. Science/Mathematics    5. Calculus & mathematical analysis    6. Combinatorics & graph theory    7. Quantum physics (quantum mechanics)   

Subjects:  1. Applied    2. Combinatorics    3. Computer Science    4. Engineering - Electrical & Electronic    5. Mathematics    6. Science/Mathematics    7. Computer Communications & Networking    8. Mathematical theory of computation   

Reviews (1)

A encyclopaedic reference on combinatorial optimization
A definitive account of the history and present state of combinatorial optimization from an author who is one of the most respected researchers in this area. The author has won the Dantzig award, the Fulkerson prize (twice) and the Lanchester Prize for his earlier classic text on "Theory of Linear and Integer Programming". Given the current pricing, it is a steal with over 1800 pages spread across three volumes. This is certainly not a text to be read from cover to cover but is a handy reference if you are interested in combinatorial optimization as a research topic or in the related areas of optimization, integer programming, polyhedral combinatorics, or graph theory.Read more

Subjects:  1. Combinatorial optimization    2. Combinatorics    3. Game Theory    4. General    5. Linear Programming    6. Mathematics    7. Optimization (Mathematical Theory)    8. Science/Mathematics    9. Combinatorics & graph theory    10. Mathematics / Linear Programming    11. Optimization    12. graph theory    13. integer programming    14. polyhedral combinatorics    15. polynomial-time algorithms   

Reviews (1)

A dense, but excellent, text
I cannot recommend this text highly enough to anyone who is working with Grobner bases, especially in computational commutative algebra. Toric ideals, the state polytope, several algorithms for computing Grobner bases -- Sturmfels brings all this together, as well as showing how it can all be applied to problems such as that of integer programming.Read more

Subjects:  1. Convex polytopes    2. Grobner bases    3. Group Theory    4. Grèobner bases    5. Mathematics    6. Science/Mathematics    7. Theory Of Groups    8. Combinatorics & graph theory    9. Groups & group theory   

Subjects:  1. Algebra - Linear    2. Geometry - Algebraic    3. Group Theory    4. Mathematics    5. Science/Mathematics    6. Algebraic geometry    7. Combinatorics & graph theory   

Subjects:  1. Combinatorics    2. Geometry    3. Geometry - Algebraic    4. Geometry, Algebraic    5. Mathematics    6. Moduli theory    7. Number Theory    8. Reference    9. Science    10. Science/Mathematics    11. Algebra   

Subjects:  1. Applied    2. Combinatorial analysis    3. Mathematics    4. Probability & Statistics - General    5. Science/Mathematics    6. Word problems (Mathematics)    7. Combinatorics & graph theory    8. Mathematics / Probability   

Reviews (6)

Makes the material unnecessarily dry and boring
I do not agree with the other readers that say this book moves too quickly or is too difficult--your first couple encounters with the UTM series often always seem this way.However, I don't think this is the best introductory book on the subject material for a number of reasons.The other reviewers make clear that less experienced students do not find this book easy--I am pointing out that a more experienced student finds this book boring.
Not helpful
I wouldn't call this an undergrad text. It's more advanced and moves faster than Rynne & Youngson. In an effort to cover a lot without much prerequisites, it moves too fast, introducing a lot of basic ideas in an offhand way. I found the explanations generally not as clear as in related books. No examples, few hints, no answers.

I'm Sorry
I'm sorry I had to read this book, I'm sorry anyone else had to read this book, and I hope that no one else has to suffer through this book.Pedagogically speaking, it is un-sound to state, in the first chapter and in the first several pages, a theorem and, rather than set a tone and rhytmn for the book, good 'ole Saxes leaves these theorems to the reader as exercises.Now, Saxe is not Lang and the Springer book series, namely, undergraduate texts, is just that, for undergraduates, for young students, mathematically speaking, and hence such an adverse and lazy tone should not be set in such a book.Furthermore, her direction, her flow, her in-ability to illuminate and bring forth the beauty of Functional Analysis is depressing (see Ascoli's Theorem and, while your seeing things, maybe Saxes should have seen an editor).For those of you who have had some Analysis, are familiar with basic point-set topology, and have a general idea of what it means for a mapping between to spaces to be linear, then the book you should read is that of Erwin Kreyszig.This book provides you with all the necessary tools as well as motivated and complementary exercises (some solutions are provided).Steer far away from Saxe's book.As an aside, it is obvious that no book, and hence no author, is perfect or capable of producing a 'perfect' book.The problem that arises in the case of the current book being reviewed is that considerable knowledge and or passion for a given subject does not necessarily imply that you are capable of re-casting this knowledge in the form of a book.Maybe, just maybe, if there is a future reprint, hopefully, Saxe will be able to re-work the book and create something hjigher in quality.Until that time, go else-where if you are interested inl earning Functional Analyiss. ... Read more

Subjects:  1. Combinatorics    2. Functional Analysis    3. Mathematics    4. Probability & Statistics - General    5. Science/Mathematics    6. Mathematics / Functional Analysis    7. Mathematics / Mathematical Analysis    8. Mathematics-Probability & Statistics - General   

Subjects:  1. Combinatorics    2. Graph Theory    3. Graphic Methods    4. Mathematics    5. Problems, exercises, etc    6. Science/Mathematics    7. Combinatorics & graph theory    8. Mathematics / Graphic Methods    9. Technology / Electronics / Circuits / General   

Subjects:  1. Combinatorics    2. Graph Theory    3. Mathematics    4. Probability & Statistics - General    5. Random graphs    6. Science/Mathematics    7. Combinatorics & graph theory    8. Mathematics / Probability    9. Probability & statistics   

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

Subjects:  1. Computer Books: General    2. Computers    3. Davenport-Schinzel sequences    4. Envelopes (Geometry)    5. General    6. Mathematics    7. Number Theory    8. Science/Mathematics    9. Combinatorics & graph theory    10. Computers / General    11. Geometry   

Reviews (8)

Calculus Done Right
Or maybe just a very good introduction to a variation on infinitesimal analysis.As someone who disliked limits the first time I came across them, and having watched students I was teaching stumble (way too early in the semester) when limits are introduced, I wish more mathematicians would become aware of this approach.Combining this book with "Calculus Made Easy", where nilpotent infinitesimals are used intuitively, might make for an excellent, limit-free introduction to calculus.

Important Book
What lurks behind the approach taken in this
An unusual but very interesting book.
I have to compare this book with another one which I recently bought: "Infinitesimal Calculus" by James M. Henle and Eugene M. Kleinberg. Both books are basically the same in that they use the concept of infinitesimals to provide a more intuitively satisfying basis for the concepts of calculus than the common, "delta/epsilon" limit approach. Yet the two could not be more different in the way they go about it.Read more

Subjects:  1. Calculus    2. Mathematical Analysis    3. Mathematics    4. Nonstandard mathematical analy    5. Nonstandard mathematical analysis    6. Science/Mathematics    7. Calculus & mathematical analysis    8. Mathematics / Combinatorics   

Subjects:  1. Combinatorics    2. Graph Theory    3. Graphic Methods    4. Mathematics    5. Probabilities    6. Probability & Statistics - General    7. Random graphs    8. Science/Mathematics    9. Combinatorics & graph theory    10. Mathematics / Statistics    11. Mathematics | Probability & Statistics    12. Probability & statistics   

Subjects:  1. Combinatorial Analysis    2. General    3. Mathematics    4. Combinatorics & graph theory   

Reviews (1)

Very understandable overview of modern developments
Elliptic curve cryptography is now an entrenched field and has been subjected to an enormous amount of research in the last fifteen years. As soon as encryption schemes based on arithmetic in elliptic curves were proposed, it was natural to speculate on whether these schemes could be generalized to hyperelliptic curves or even general abelian varieties. This book gives an overview of what has been done, and even though most of the proofs are omitted, it does serve a need for those interested in the latest developments in the subject. This reviewer did not read the entire book, but concentrated instead on only a few parts that discussed developments in the last few years. Just skimming the book though will reveal that the authors have been very thorough in giving the reader the necessary mathematical background for a study of ECC and HECC cryptography. Readers needing more detailed background can consult the many references.
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Subjects:  1. Chemistry - General    2. Communication    3. Cryptography    4. Curves, Elliptic    5. Geometry - Algebraic    6. Handbooks, manuals, etc    7. Language    8. Language Arts & Disciplines    9. Machine theory    10. Mathematics    11. Data security & data encryption    12. Mathematics / Combinatorics   

Subjects:  1. Engineering - Civil    2. General    3. Mathematical models    4. Mathematics    5. Mathematics / Applied    6. Science/Mathematics    7. Stability    8. Strength of materials    9. Applied    10. Combinatorics & graph theory    11. Graph theory    12. Mathematical foundations    13. Mathematics / Combinatorics    14. Mathematics for scientists & engineers   

Subjects:  1. General    2. Graph coloring    3. Graphic Methods    4. Mathematics    5. Science    6. Science/Mathematics   

Subjects:  1. Discrete Mathematics    2. General    3. Geometry - Algebraic    4. Mathematical Analysis    5. Mathematics    6. Science/Mathematics    7. Combinatorics & graph theory    8. Galois theory    9. Mathematics / Geometry / General    10. Vassiliev invariants    11. embedded graphs    12. matrix integrals    13. moduli of curves