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Idempotent Analysis
 
Idempotent Analysis
Hardcover ISBN:  978-0-8218-4114-3
Product Code:  ADVSOV/13
List Price: $145.00
MAA Member Price: $130.50
AMS Member Price: $116.00
eBook ISBN:  978-1-4704-4610-9
Product Code:  ADVSOV/13.E
List Price: $145.00
MAA Member Price: $130.50
AMS Member Price: $116.00
Hardcover ISBN:  978-0-8218-4114-3
eBook: ISBN:  978-1-4704-4610-9
Product Code:  ADVSOV/13.B
List Price: $290.00 $217.50
MAA Member Price: $261.00 $195.75
AMS Member Price: $232.00 $174.00
Idempotent Analysis
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Idempotent Analysis
Hardcover ISBN:  978-0-8218-4114-3
Product Code:  ADVSOV/13
List Price: $145.00
MAA Member Price: $130.50
AMS Member Price: $116.00
eBook ISBN:  978-1-4704-4610-9
Product Code:  ADVSOV/13.E
List Price: $145.00
MAA Member Price: $130.50
AMS Member Price: $116.00
Hardcover ISBN:  978-0-8218-4114-3
eBook ISBN:  978-1-4704-4610-9
Product Code:  ADVSOV/13.B
List Price: $290.00 $217.50
MAA Member Price: $261.00 $195.75
AMS Member Price: $232.00 $174.00
  • Book Details
     
     
    Advances in Soviet Mathematics
    Volume: 131992; 210 pp
    MSC: Primary 20; 35; 47; 49; Secondary 16; 81; 90;

    Idempotent analysis is a new branch of mathematical analysis concerned with functional spaces and their mappings when the algebraic structure is generated by an idempotent operation. The articles in this collection show how idempotent analysis is playing a unifying role in many branches of mathematics related to external phenomena and structures—a role similar to that played by functional analysis in mathematical physics, or numerical methods in partial differential equations. Such a unification necessitates study of the algebraic and analytic structures appearing in spaces of functions with values in idempotent semirings. The papers collected here constitute an advance in this direction.

    Readership

    Research mathematicians.

  • Table of Contents
     
     
    • Articles
    • S. Dobrokhotov, V. Kolokoltsov and V. Maslov — Quantization of the Bellman equation, exponential asymptotics and tunneling
    • P. Dudnikov — Endomorphisms of the semimodule of bounded functions
    • P. Dudnikov and S. Samborskii — Endomorphisms of finitely generated free semimodules
    • V. Kolokoltsov — On linear, additive, and homogeneous operators in idempotent analysis
    • S. Lesin and S. Samborskii — Spectra of compact endomorphisms
    • V. Maslov and S. Samborskii — Stationary Hamilton-Jacobi and Bellman equations (existence and uniqueness of solutions)
    • S. Samborskii and G. Shpiz — Convex sets in the semimodule of bounded functions
    • S. Samborskii and A. Tarashchan — The Fourier transform and semirings of Pareto sets
    • M. Shubin — Algebraic remarks on idempotent semirings and the kernel theorem in spaces of bounded functions
    • S. Yakovenko and L. Kontorer — Nonlinear semigroups and infinite horizon optimization
  • 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: 131992; 210 pp
MSC: Primary 20; 35; 47; 49; Secondary 16; 81; 90;

Idempotent analysis is a new branch of mathematical analysis concerned with functional spaces and their mappings when the algebraic structure is generated by an idempotent operation. The articles in this collection show how idempotent analysis is playing a unifying role in many branches of mathematics related to external phenomena and structures—a role similar to that played by functional analysis in mathematical physics, or numerical methods in partial differential equations. Such a unification necessitates study of the algebraic and analytic structures appearing in spaces of functions with values in idempotent semirings. The papers collected here constitute an advance in this direction.

Readership

Research mathematicians.

  • Articles
  • S. Dobrokhotov, V. Kolokoltsov and V. Maslov — Quantization of the Bellman equation, exponential asymptotics and tunneling
  • P. Dudnikov — Endomorphisms of the semimodule of bounded functions
  • P. Dudnikov and S. Samborskii — Endomorphisms of finitely generated free semimodules
  • V. Kolokoltsov — On linear, additive, and homogeneous operators in idempotent analysis
  • S. Lesin and S. Samborskii — Spectra of compact endomorphisms
  • V. Maslov and S. Samborskii — Stationary Hamilton-Jacobi and Bellman equations (existence and uniqueness of solutions)
  • S. Samborskii and G. Shpiz — Convex sets in the semimodule of bounded functions
  • S. Samborskii and A. Tarashchan — The Fourier transform and semirings of Pareto sets
  • M. Shubin — Algebraic remarks on idempotent semirings and the kernel theorem in spaces of bounded functions
  • S. Yakovenko and L. Kontorer — Nonlinear semigroups and infinite horizon optimization
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
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