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Author: E. Zeidler
Publisher: Springer Science & Business Media
ISBN: 1461209811
Category : Mathematics
Languages : en
Pages : 739
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Book Description
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.
Author: E. Zeidler
Publisher: Springer Science & Business Media
ISBN: 1461209811
Category : Mathematics
Languages : en
Pages : 739
Get Book Here
Book Description
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.
Author: Eberhard Zeidler
Publisher:
ISBN:
Category : Nonlinear functional analysis
Languages : en
Pages : 0
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Book Description
Author: E. Zeidler
Publisher: Springer
ISBN: 9781461209867
Category : Mathematics
Languages : en
Pages : 467
Get Book Here
Book Description
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.
Author: E. Zeidler
Publisher: Springer Science & Business Media
ISBN: 9780387968025
Category : Mathematics
Languages : en
Pages : 498
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Book Description
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.
Author: Eberhard Zeidler
Publisher:
ISBN:
Category : Nonlinear functional analysis
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Eberhard Zeidler
Publisher:
ISBN:
Category : Nonlinear functional analysis
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Eberhard Zeidler
Publisher:
ISBN:
Category : Nonlinear functional analysis
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Eberhard Zeidler
Publisher:
ISBN: 9787506213080
Category : Nonlinear functional analysis
Languages : en
Pages : 467
Get Book Here
Book Description
Author: Eberhard Zeidler
Publisher:
ISBN:
Category : Nonlinear functional analysis
Languages : en
Pages : 467
Get Book Here
Book Description
Author: E. Zeidler
Publisher: Springer Science & Business Media
ISBN: 1461245664
Category : Mathematics
Languages : en
Pages : 1007
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Book Description
The fourth 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 non-specialist, and topics covered include applications to mechanics, elasticity, plasticity, hydrodynamics, thermodynamics, statistical physics, and special and general relativity including cosmology. The book contains a detailed physical motivation of the relevant basic equations and a discussion of particular problems which have played a significant role in the development of physics and through which important mathematical and physical insight may be gained. It combines classical and modern ideas to build a bridge between the language and thoughts of physicists and mathematicians. Many exercises and a comprehensive bibliography complement the text.
