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Ultrafilters across Mathematics
 
Edited by: Vitaly Bergelson Ohio State University, Columbus, OH
Andreas Blass University of Michigan, Ann Arbor, MI
Mauro Di Nasso Università di Pisa, Pisa, Italy
Renling Jin College of Charleston, Charleston, SC
Ultrafilters across Mathematics
Softcover ISBN:  978-0-8218-4833-3
Product Code:  CONM/530
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8209-2
Product Code:  CONM/530.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4833-3
eBook: ISBN:  978-0-8218-8209-2
Product Code:  CONM/530.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Ultrafilters across Mathematics
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Ultrafilters across Mathematics
Edited by: Vitaly Bergelson Ohio State University, Columbus, OH
Andreas Blass University of Michigan, Ann Arbor, MI
Mauro Di Nasso Università di Pisa, Pisa, Italy
Renling Jin College of Charleston, Charleston, SC
Softcover ISBN:  978-0-8218-4833-3
Product Code:  CONM/530
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8209-2
Product Code:  CONM/530.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4833-3
eBook ISBN:  978-0-8218-8209-2
Product Code:  CONM/530.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5302010; 200 pp
    MSC: Primary 03; 05; 28;

    This volume originated from the International Congress “ULTRAMATH: Applications of Ultrafilters and Ultraproducts in Mathematics”, which was held in Pisa, Italy, from June 1–7, 2008.

    The volume aims to present the state-of-the-art of applications in the whole spectrum of mathematics which are grounded on the use of ultrafilters and ultraproducts. It contains two general surveys on ultrafilters in set theory and on the ultraproduct construction, as well as papers that cover additive and combinatorial number theory, nonstandard methods and stochastic differential equations, measure theory, dynamics, Ramsey theory, algebra in the space of ultrafilters, and large cardinals.

    The papers are intended to be accessible and interesting for mathematicians who are not experts on ultrafilters and ultraproducts. Greater prominence has been given to results that can be formulated and presented in non-special terms and be, in principle, understandable by any mathematician, and to those results that connect different areas of mathematics, revealing new facets of known important topics.

    Readership

    Graduate students and research mathematicians interested in the theory of ultrafilters and ultraproducts..

  • Table of Contents
     
     
    • Articles
    • Vieri Benci, Stefano Galatolo and Marco Ghimenti — An elementary approach to stochastic differential equations using the infinitesimals [ MR 2757531 ]
    • Vitaly Bergelson — Ultrafilters, IP sets, dynamics, and combinatorial number theory [ MR 2757532 ]
    • Andreas Blass — Ultrafilters and set theory [ MR 2757533 ]
    • D. H. Fremlin — Measure-centering ultrafilters [ MR 2757534 ]
    • Neil Hindman and Dona Strauss — Algebra in the space of ultrafilters and Ramsey theory [ MR 2757535 ]
    • Renling Jin — Ultrapower of $\Bbb N$ and density problems [ MR 2757536 ]
    • H. Jerome Keisler — The ultraproduct construction [ MR 2757537 ]
    • Itay Neeman — Ultrafilters and large cardinals [ MR 2757538 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5302010; 200 pp
MSC: Primary 03; 05; 28;

This volume originated from the International Congress “ULTRAMATH: Applications of Ultrafilters and Ultraproducts in Mathematics”, which was held in Pisa, Italy, from June 1–7, 2008.

The volume aims to present the state-of-the-art of applications in the whole spectrum of mathematics which are grounded on the use of ultrafilters and ultraproducts. It contains two general surveys on ultrafilters in set theory and on the ultraproduct construction, as well as papers that cover additive and combinatorial number theory, nonstandard methods and stochastic differential equations, measure theory, dynamics, Ramsey theory, algebra in the space of ultrafilters, and large cardinals.

The papers are intended to be accessible and interesting for mathematicians who are not experts on ultrafilters and ultraproducts. Greater prominence has been given to results that can be formulated and presented in non-special terms and be, in principle, understandable by any mathematician, and to those results that connect different areas of mathematics, revealing new facets of known important topics.

Readership

Graduate students and research mathematicians interested in the theory of ultrafilters and ultraproducts..

  • Articles
  • Vieri Benci, Stefano Galatolo and Marco Ghimenti — An elementary approach to stochastic differential equations using the infinitesimals [ MR 2757531 ]
  • Vitaly Bergelson — Ultrafilters, IP sets, dynamics, and combinatorial number theory [ MR 2757532 ]
  • Andreas Blass — Ultrafilters and set theory [ MR 2757533 ]
  • D. H. Fremlin — Measure-centering ultrafilters [ MR 2757534 ]
  • Neil Hindman and Dona Strauss — Algebra in the space of ultrafilters and Ramsey theory [ MR 2757535 ]
  • Renling Jin — Ultrapower of $\Bbb N$ and density problems [ MR 2757536 ]
  • H. Jerome Keisler — The ultraproduct construction [ MR 2757537 ]
  • Itay Neeman — Ultrafilters and large cardinals [ MR 2757538 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.