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1. Constructive Commutative Algebra : Projective Modules Over Polynomial Rings and Dynamical Gröbner Bases
by Ihsen Yengui
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2138
オンライン: http://dx.doi.org/10.1007/978-3-319-19494-3
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Projective modules over polynomial rings
Dynamical Gr¨obner bases
Syzygies in polynomial rings over valuation domains
Exercises
Detailed solutions to the exercises
Projective modules over polynomial rings
Dynamical Gr¨obner bases
Syzygies in polynomial rings over valuation domains
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2. Model Theory in Algebra, Analysis and Arithmetic : Cetraro, Italy 2012, Editors: H. Dugald Macpherson, Carlo Toffalori
by Lou van den Dries, Jochen Koenigsmann, H. Dugald Macpherson, Anand Pillay, Carlo Toffalori, Alex J. Wilkie
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2111
オンライン: http://dx.doi.org/10.1007/978-3-642-54936-6
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Some themes around first order theories without the independence property
Lectures on the model theory of real and complex exponentiation
Lectures on the model theory of valued fields
Undecidability in number theory
Some themes around first order theories without the independence property
Lectures on the model theory of real and complex exponentiation
Lectures on the model theory of valued fields
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3. Stochastic Calculus with Infinitesimals
by Frederik Herzberg
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2067
オンライン: http://dx.doi.org/10.1007/978-3-642-33149-7
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1 Infinitesimal calculus, consistently and accessibly
2 Radically elementary probability theory
3 Radically elementary stochastic integrals
4 The radically elementary Girsanov theorem and the diffusion invariance principle
5 Excursion to nancial economics: A radically elementary approach to the fundamental theorems of asset pricing
6 Excursion to financial engineering: Volatility invariance in the Black-Scholes model
7 A radically elementary theory of Itô diffusions and associated partial differential equations
8 Excursion to mathematical physics: A radically elementary definition of Feynman path integrals
9 A radically elementary theory of Lévy processes
10 Final remarks
1 Infinitesimal calculus, consistently and accessibly
2 Radically elementary probability theory
3 Radically elementary stochastic integrals
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4. From Objects to Diagrams for Ranges of Functors
by Pierre Gillibert, Friedrich Wehrung
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2029
オンライン: http://dx.doi.org/10.1007/978-3-642-21774-6
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5. Banach Spaces and Descriptive Set Theory: Selected Topics
by Pandelis Dodos
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1993
オンライン: http://dx.doi.org/10.1007/978-3-642-12153-1
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Basic Concepts
The Standard Borel Space of All Separable Banach Spaces
The ?2 Baire Sum
Amalgamated Spaces
Zippin’s Embedding Theorem
The Bourgain–Pisier Construction
Strongly Bounded Classes of Banach Spaces
Basic Concepts
The Standard Borel Space of All Separable Banach Spaces
The ?2 Baire Sum
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6. Axiom of Choice
by Horst Herrlich
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin/Heidelberg, 2006
シリーズ名: Lecture Notes in Mathematics ; 1876
オンライン: http://dx.doi.org/10.1007/11601562
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