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So my web page contains lists of which books cover which topics, including a cross-reference table of which topics are in which books, in chronological order. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Good books on mathematical logic? Ask Question. Asked 9 years, 1 month ago.
Active 1 year, 1 month ago. Viewed 31k times. For the latter, the book by Donald Monk is good, although its notation takes getting used to.
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The chapters on decidable and undecidable theories include many concrete examples. For the former, you should think about upper-level undergraduate books. Most graduate-level books in logic and other parts of mathematics have very few worked examples of basic theorems. They assume you will work out examples on your own at that level. It is open-source: you can download the LaTeX code.
It is collaborative: a team of people is working on it. Jyotirmoy Bhattacharya. I can only recommend it.
His style is not what some might call "easy", but it is very clear and with an attention to detail, which in its extent may be uncommon even in introductory books in this field. The English edition has received some devastating reviews , which makes me unsure whether it really matches the qualities of the German text including such niceties as worked out solutions to the sometimes challenging exercises.
The notation is a bit dated, but the exercises are great. Dave Marker. All it needs is some examples. For some crazy reason, authors thought graduate textbooks didn't need examples in those days,which still puzzles me We describe an algorithm producing this upper bound in the form of a primitive recursive in fact, elementary function of and for the particular case of hyperelliptic polynomials under the additional assumption that all critical values of are real.
This is the first general result on zeros of Abelian integrals that is completely constructive i. The paper is a research announcement preceding the forthcoming complete exposition. The main ingredients of the proof are explained and the differential algebraic generalization that is the core result is given. References [Enhancements On Off] What's this? Additional Information D. ISSN Arnold et al. Nauk 44 , no. Surveys 44 , no. MR 90m 2. Arnold, S. Gusein-Zade, and A. Varchenko, Singularities of differentiable maps , Vol.
MR 89g 3.source url
Givental, Sturm's theorem for hyperelliptic integrals , Algebra i Analiz 1 , no. MR 91c 5. Horozov and I. Iliev, Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians , Nonlinearity 11 , no. CMP 6. Ilyashenko, The multiplicity of limit cycles that arise in the perturbation of a Hamiltonian equation of the class , in real and complex domains , Trudy Sem. Demidov, Yu. Manin, E.
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