Subjects:  1. Applied    2. Automata    3. Computer Science    4. Fuzzy Sets    5. Fuzzy automata    6. Fuzzy languages    7. Logic    8. Mathematics    9. Programming Languages - General    10. Science/Mathematics    11. Set Theory    12. Computers / Programming Languages / General    13. Fuzzy set theory    14. Mathematical logic   

Subjects:  1. Mathematics    2. Science/Mathematics    3. Set Theory    4. Mathematical logic   

Subjects:  1. Mathematics    2. Science/Mathematics    3. Set Theory    4. Transfinite numbers    5. Mathematics / General   

Subjects:  1. Algebra - Abstract    2. Algebra - General    3. Axiomatic set theory    4. Functional analysis    5. Jordan algebras    6. Lattice theory    7. Logic    8. Mathematical Analysis    9. Mathematics    10. Philosophy Of Mathematics    11. Quantum Theory    12. Quantum logic    13. Science    14. Science/Mathematics    15. Set Theory    16. Linear algebra    17. Mathematics / Mathematical Analysis    18. applications mathematics    19. knot theory    20. manifolds    21. mathematical physics    22. operator algebra   

Subjects:  1. Applied    2. Artificial Intelligence - Fuzzy Logic    3. Computers    4. Computers - General Information    5. Data processing    6. Engineering    7. Fuzzy Sets    8. Fuzzy systems    9. Neural Computing    10. Neural Networks    11. Neural networks (Computer scie    12. Neural networks (Computer science)    13. Science/Mathematics    14. Set Theory    15. Computers / Programming / Systems Analysis & Design   

Reviews (1)

Excellent text
This is an excellent textbook.The explanations are very clear.I plan to use it this fall in some tech math courses I am teaching. ... Read more

Subjects:  1. General    2. Mathematics    3. Mathematics / Reference    4. Science/Mathematics    5. Set Theory    6. Mathematics (General)   

Subjects:  1. Mathematical models    2. Mathematics    3. Probability & Statistics - General    4. Science/Mathematics    5. Set Theory    6. Time-series analysis    7. Research methods: general    8. Social Science / Research    9. Social research & statistics   

Subjects:  1. Calculus of variations    2. Differential Equations    3. Geometric measure theory    4. Linear Programming    5. Manifolds (Mathematics)    6. Mathematical Analysis    7. Mathematics    8. Science/Mathematics    9. Set Theory    10. Mathematics / Linear Programming    11. Minimierungsprobleme    12. Mumford-Shah-Funktional    13. Randwertprobleme    14. Variationsrechnung    15. partielle Differentialgleichungen   

Reviews (3)

Excellent advanced book in fuzzy cluster analysis
Previous reviews are correct, this is not a book for beginners. This is an advanced text for specialists in the area of fuzzy clustering, and as such it is an excellent work. Standard fuzzy c-means, Gustafson-Kessel c-means and Gath-Geva c-means are drawn together in a single modeling framework for near-arbitrary cluster shapes. The cluster validity problem is examined in depth, and experimental results in image analysis are used to illustrate the theoretical material. An excellent monograph.

Worst book I have ever read
This book is ridiculous. It has too many unnecessary and, even worse, unclear definitions. It never gives us the meanings of the strange symbols in those absurd definitions. If you want to understand fuzzy cluster analysis in a relatively short time and do not want to suffer, please do not buy this book.

Too many unnecessary definitions
This is not a good book for people who want to understand the basic idea of fuzzy cluster analysis in a short time. ... Read more

Subjects:  1. Cluster analysis    2. Engineering - Electrical & Electronic    3. Fuzzy Sets    4. Logic    5. Mathematics    6. Multivariate Analysis    7. Probability & Statistics - General    8. Science/Mathematics    9. Set Theory    10. Data capture & analysis    11. Fuzzy set theory    12. Mathematics for scientists & engineers    13. Science / System Theory   

Subjects:  1. Calculus    2. Differential Equations    3. Integrals    4. Mathematical Analysis    5. Mathematics    6. Science/Mathematics    7. Set Theory    8. Differential & Riemannian geometry   

Reviews (1)

Needs to define terms and nomenclature up front and stick with it.Has to be a better book available.
I am using this book in a graduate college class.
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Subjects:  1. Allied Health Services - Medical Technology    2. Automatic control    3. Automation    4. Engineering - Electrical & Electronic    5. Engineering - Mechanical    6. Fuzzy Sets    7. Fuzzy systems    8. Mathematical models    9. Medical / Nursing    10. Science/Mathematics    11. Set Theory    12. Technology    13. Applications of Computing    14. Automatic control engineering    15. Technology / General   

Subjects:  1. Applied    2. Differential Equations    3. Differential inclusions    4. Fuzzy sets    5. Mathematical Analysis    6. Mathematics    7. Science/Mathematics    8. Set Theory    9. Mathematics / Mathematical Analysis   

Reviews (2)

Worth buying a used copy.
This book is half mathematics and half discussion. Parts 2 & 3 cover the material for an integrated, introductory course in computability theory and logic (the primitive recursive functions, mu-recursive functions and Turing machines and their equivalence, first-order logic, some formal number theory, and Godel's first and second incompleteness theorems). Parts 1 & 4 are given to philosophical discussion and (to a lesser extent) historical background. The longest chapters are one examining Church's thesis and one on intuitionist/constructivist views of mathematics. Overall the book is clearly written and well organized, and it contains interesting selections from the writings of prominent figures in the foundations of mathematics throughout.
when critical thinking, computer and math meet at one
this book takes you into the world of basic pure math. it covers the basic elemects of math such as sets, functions, and proofs. but what is really making this book great and far apart from other similiar books is its elaboration of recursive function and computability, and i find it interesting. ... Read more

Subjects:  1. Computable functions    2. Computer Logic    3. Logic    4. Logic, Symbolic and mathematic    5. Logic, Symbolic and mathematical    6. Mathematics    7. Science/Mathematics    8. Set Theory    9. Mathematical logic    10. Mathematics / Set Theory   

Subjects:  1. Algebra - General    2. Calculus    3. Functional Analysis    4. Fuzzy sets    5. Integrals, Generalized    6. Mathematical Analysis    7. Mathematics    8. Measure theory    9. Science/Mathematics    10. Set Theory    11. Mathematics / Calculus    12. Mathematics / Mathematical Analysis    13. Mathematics-Algebra - General    14. Mathematics-Mathematical Analysis   

Subjects:  1. Calculus    2. Hausdorff measures    3. Mathematics    4. Measure Theory    5. Probability & Statistics - General    6. Science/Mathematics    7. Set Theory    8. Mathematics / Differential Equations    9. Real analysis    10. Topology   

Subjects:  1. Mathematics    2. Probability & Statistics - General    3. Science/Mathematics    4. Set Theory    5. Statistics    6. Textbooks   

Subjects:  1. Axiomatic set theory    2. Mathematics    3. Science/Mathematics    4. Set Theory    5. Mathematics / General   

Reviews (1)

Excellent
Untypically for a book on set theory, this one makes for delightful reading. With excellent common sense discussions and proofs and a light touch this book sheds much light on topics even after one has waded through heavier texts.
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Subjects:  1. Mathematics    2. Science/Mathematics    3. Set Theory   

Subjects:  1. Algebra - Abstract    2. Combinatorics & graph theory    3. Linear algebra    4. Particle & high-energy physics    5. Mathematics    6. Algebra - General    7. Set Theory    8. Science/Mathematics   

Reviews (4)

Excellent logical system.
While there is currently a variety of logical systems about, Lemmon's is well balanced and fairly intuitive. His approach is to limit his formal system to a few simple rules. The advantage is that it makes his meta-logic much easier, and the reader can grasp the whole system very quickly. The downside it that the system becomes cumbersome when trying to prove more difficult problems. To help simplify the longer proofs, Lemmon provides a list of already proven theorems, which one can substitute into the proof. His approach is elegant, and in my view, successful. While the text tends to be dense, his liberal use of examples clarifies many of the finer points. Still, the reader does have to work at it so I cannot recommend this text to beginning logic students. Davis' "Introduction to Logic" is much more straightforward, and much simpler. However, for serious students of logic, with a solid analytical background, or a good foundation in mathematics, this text provides a very good logical system.

jumping right in the pool
I used this book as part of an independent study of logic.It is dense, so unless you are willing to sit down and study itexhaustively or you have an experienced teacher (as I did), start with something lighter.That said, once I gained some knowledge in the area, the book was a pleasure to use, as Lemmon's precise language made it easier to clarify certain points.The largest drawback to this book is that it doesn't have solutions to its exercises, and these methods are not mechanical-you must know or learn how to make intuitive leaps or you will not be able to solve the problems. davewitt@technologist.com

Excellently comprehensive.
A great book of predicate and simple quantifier logic. VERY complete, includes nice examples in English translation and in logic. It also has practice problems after each section. However, it is dense, and unless youhave someone who can help clarify concepts for you, this book can becomeconfusing and difficult. Overall, a very good logic book. ... Read more

Subjects:  1. Logic    2. Mathematical And Symbolic Logic    3. Mathematics    4. Predicate calculus    5. Propositional calculus    6. Science/Mathematics    7. Set Theory    8. Mathematical logic    9. Mathematics / Set Theory