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Other titles in the Springer Optimization and Its Applications series:

Springer Optimization and Its Applications #13: Scalar and Asymptotic Scalar Derivatives: Theory and Applications

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Springer Optimization and Its Applications #13: Scalar and Asymptotic Scalar Derivatives: Theory and Applications Cover

 

Synopses & Reviews

Publisher Comments:

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry, and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings ,and non-gradient type monotonicity on Riemannian manifolds. Scalar and Asymptotic Derivatives: Theory and Applications also presents the material in relation to Euclidean spaces, Hilbert spaces, Banach spaces, Riemannian manifolds, and Hadamard manifolds. This book is intended for researchers and graduate students working in the fields of nonlinear analysis, Riemannian geometry, and applied mathematics. In addition, it fills a gap in the literature as the first book to appear on the subject.

Synopsis:

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings and the non-gradient type monotonicity on Riemannian manifolds.

Synopsis:

This extremely useful book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings and the non-gradient type monotonicity on Riemannian manifolds. The text is intended for researchers and graduate students working in the fields of nonlinear analysis, Riemannian geometry and applied mathematics.

Table of Contents

Preface.- 1. Scalar Derivatives in Euclidean Spaces.- 2. Asymptotic Derivatives and Asymptotic Scalar Derivatives.- 3. Scalar Derivatives in Hilbert Spaces.- 4. Scalar Derivatives in Banach Spaces.- 5. Monotone Vector Fields on Riemannian Manifolds and Scalar Derivatives.-References.- Index.

Product Details

ISBN:
9780387739878
Author:
Isac, George
Publisher:
Springer
Author:
Na(c)Meth, Sandor Zoltan
Author:
Nemeth, Sandor Zoltan
Author:
Nmeth, Sndor Zoltn
Author:
N??m??th, S??ndor Zolt??n
Subject:
Functional Analysis
Subject:
Mathematical Analysis
Subject:
Geometry - Differential
Subject:
Complementarity
Subject:
Eigenvalues.
Subject:
fixed points
Subject:
geodesic monotonicity
Subject:
scalar derivatives
Subject:
OPTIMIZATION
Subject:
Differential geometry
Subject:
Mathematics : Functional Analysis
Copyright:
Edition Description:
Book
Series:
Springer Optimization and Its Applications
Series Volume:
13
Publication Date:
20080623
Binding:
HARDCOVER
Language:
English
Pages:
259
Dimensions:
235 x 155 mm

Related Subjects


Science and Mathematics » Biology » Primatology
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Computer
Science and Mathematics » Mathematics » Differential Geometry
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology

Springer Optimization and Its Applications #13: Scalar and Asymptotic Scalar Derivatives: Theory and Applications New Hardcover
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Product details 259 pages Springer - English 9780387739878 Reviews:
"Synopsis" by , This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings and the non-gradient type monotonicity on Riemannian manifolds.
"Synopsis" by , This extremely useful book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings and the non-gradient type monotonicity on Riemannian manifolds. The text is intended for researchers and graduate students working in the fields of nonlinear analysis, Riemannian geometry and applied mathematics.
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