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Nonlinear Functional Analysis and its Applications: II/B: Nonlinear Monotone Operators (Nonlinear Functional Analysis & Its Applications)
Inhaltsangabe
This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
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This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century.
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Nonlinear Functional Analysis and its Applications: II/B: Nonlinear Monotone Operators (Nonlinear Functional Analysis & Its Applications)
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Hardcover. Zustand: Very Good. Zustand des Schutzumschlags: None Issued. Volume II/B: Nonlinear Monotone Operators ONLY! Text is unmarked; pages are bright. Previous owner's signature in pen on the first free end page. Binding is sturdy. The corners of the covers are bumped. No dust jacket, as issued. International/Priority shipping at cost. Bestandsnummer des Verkäufers 071446
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Nonlinear Functional Analysis and Its Applications Pt. 2 B : Nonlinear Monotone Operators
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Nonlinear Functional Analysis and its Applications
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Nonlinear Functional Analysis and its Applications: II/B: Nonlinear Monotone Operators (Nonlinear Functional Analysis & Its Applications)
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library. Zustand: New. In shrink wrap. Looks like an interesting title! Bestandsnummer des Verkäufers Q-038797167X
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Nonlinear Functional Analysis and its Applications: II/B: Nonlinear Monotone Operators (Nonlinear Functional Analysis & Its Applications)
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Nonlinear Functional Analysis and its Applications
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book continues the treatment of the arithmetic theory of elliptic curves begun in the first volume. The book begins with the theory of elliptic and modular functions for the full modular group r(1), including a discussion of Hekcke operators and the L-series associated to cusp forms. This is followed by a detailed study of elliptic curves with complex multiplication, their associated Grössencharacters and L-series, and applications to the construction of abelian extensions of quadratic imaginary fields. Next comes a treatment of elliptic curves over function fields and elliptic surfaces, including specialization theorems for heights and sections. This material serves as a prelude to the theory of minimal models and Néron models of elliptic curves, with a discussion of special fibers, conductors, and Ogg's formula. Next comes a brief description of q-models for elliptic curves over C and R, followed by Tate's theory of q-models for elliptic curves with non-integral j-invariant over p-adic fields. The book concludes with the construction of canonical local height functions on elliptic curves, including explicit formulas for both archimedean and non-archimedean fields. 756 pp. Englisch. Bestandsnummer des Verkäufers 9780387971674
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Nonlinear Functional Analysis and its Applications
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Springer New York, Springer US Dez 1989, 1989
ISBN 10: 038797167X
ISBN 13: 9780387971674
Neu
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Buch. Zustand: Neu. Neuware -This book continues the treatment of the arithmetic theory of elliptic curves begun in the first volume. The book begins with the theory of elliptic and modular functions for the full modular group r(1), including a discussion of Hekcke operators and the L-series associated to cusp forms. This is followed by a detailed study of elliptic curves with complex multiplication, their associated Grössencharacters and L-series, and applications to the construction of abelian extensions of quadratic imaginary fields. Next comes a treatment of elliptic curves over function fields and elliptic surfaces, including specialization theorems for heights and sections. This material serves as a prelude to the theory of minimal models and Néron models of elliptic curves, with a discussion of special fibers, conductors, and Ogg's formula. Next comes a brief description of q-models for elliptic curves over C and R, followed by Tate's theory of q-models for elliptic curves with non-integral j-invariant over p-adic fields. The book concludes with the construction of canonical local height functions on elliptic curves, including explicit formulas for both archimedean and non-archimedean fields.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 756 pp. Englisch. Bestandsnummer des Verkäufers 9780387971674
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Nonlinear Functional Analysis and its Applications : II/B: Nonlinear Monotone Operators
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book continues the treatment of the arithmetic theory of elliptic curves begun in the first volume. The book begins with the theory of elliptic and modular functions for the full modular group r(1), including a discussion of Hekcke operators and the L-series associated to cusp forms. This is followed by a detailed study of elliptic curves with complex multiplication, their associated Grössencharacters and L-series, and applications to the construction of abelian extensions of quadratic imaginary fields. Next comes a treatment of elliptic curves over function fields and elliptic surfaces, including specialization theorems for heights and sections. This material serves as a prelude to the theory of minimal models and Néron models of elliptic curves, with a discussion of special fibers, conductors, and Ogg's formula. Next comes a brief description of q-models for elliptic curves over C and R, followed by Tate's theory of q-models for elliptic curves with non-integral j-invariant over p-adic fields. The book concludes with the construction of canonical local height functions on elliptic curves, including explicit formulas for both archimedean and non-archimedean fields. Bestandsnummer des Verkäufers 9780387971674
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