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Integral Geometry and Radon Transforms - Sigurdur Helgason
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Sigurdur Helgason:

Integral Geometry and Radon Transforms - encadernada, livro de bolso

2010, ISBN: 1441960546

[EAN: 9781441960542], Neubuch, [PU: Springer New York Nov 2010], DIFFERENZIALGEOMETRIE; GEOMETRIE / ALGEBRA GRUPPE (MATHEMATISCH); (MATHEMATISCH) - GRUPPENTHEORIE; GLEICHUNG INTEGRALGLEIC… mais…

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Helgason, Sigurdur:

Integral Geometry and Radon Transforms - encadernada, livro de bolso

2010, ISBN: 1441960546

2011 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Algebra / Gruppe (mathematisch), Gruppe (mathematisch) - Gruppentheorie, Gleichung / Integralgleichung, … mais…

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Integral Geometry and Radon Transforms 2011 - livro usado

2010

ISBN: 9781441960542

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Helgason, Sigurdur:
Integral Geometry and Radon Transforms - encadernada, livro de bolso

2010, ISBN: 9781441960542

Springer, Gebundene Ausgabe, Auflage: 2011, 314 Seiten, Publiziert: 2010-11-17T00:00:01Z, Produktgruppe: Buch, 2.16 kg, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Fachbücher… mais…

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Helgason, Sigurdur:
Integral Geometry and Radon Transforms - encadernada, livro de bolso

2010, ISBN: 9781441960542

Springer, Gebundene Ausgabe, Auflage: 2011, 314 Seiten, Publiziert: 2010-11-17T00:00:01Z, Produktgruppe: Buch, 2.16 kg, Algebra & Zahlentheorie, Naturwissenschaft & Mathematik, Fachbücher… mais…

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Integral Geometry and Radon Transforms
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9781441960542


In this text, integral geometry deals with Radon's problem of representing a function on a manifold in terms of its integrals over certain submanifolds-hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial di  erential equations and group representations). For the case of the plane, the inversion theorem and the support theorem have had major applications in medicine through tomography and CAT scanning. While containing some recent research, the book is aimed at beginning graduate students for classroom use or self-study. A number of exercises point to further results with documentation. From the reviews: "Integral Geometry is a fascinating area, where numerous branches of mathematics meet together. the contents of the book is concentrated around the duality and double vibration, which is realized through the masterful treatment of a variety of examples. the book is written by an expert, who has made fundamental contributions to the area." -Boris Rubin, Louisiana State University

Dados detalhados do livro - Integral Geometry and Radon Transforms


EAN (ISBN-13): 9781441960542
ISBN (ISBN-10): 1441960546
Livro de capa dura
Livro de bolso
Ano de publicação: 2010
Editor/Editora: Springer
301 Páginas
Peso: 0,477 kg
Língua: eng/Englisch

Livro na base de dados desde 2009-02-06T19:23:42-02:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2024-03-03T09:37:14-03:00 (Sao Paulo)
Número ISBN/EAN: 9781441960542

Número ISBN - Ortografia alternativa:
1-4419-6054-6, 978-1-4419-6054-2
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: helgason, sigurdur, geometry
Título do livro: intégral, integral transforms, beyond geometry, radon

Dados da editora

Autor: Sigurdur Helgason
Título: Integral Geometry and Radon Transforms
Editora: Springer; Springer US
301 Páginas
Ano de publicação: 2010-11-17
New York; NY; US
Impresso / Feito em
Peso: 0,980 kg
Língua: Inglês
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XIII, 301 p. 72 illus.

BB; Differential Geometry; Hardcover, Softcover / Mathematik/Geometrie; Differentielle und Riemannsche Geometrie; Verstehen; Homogeneous spaces in duality; Manifolds and lie groups; Radio astronomy; Radon transform; Spaces of constant curvature; Topology of spaces; X-ray tranform on symmetric spaces; Integral Transforms, Operational Calculus; Global Analysis and Analysis on Manifolds; Topological Groups, Lie Groups; Differential Geometry; Integral Transforms and Operational Calculus; Global Analysis and Analysis on Manifolds; Topological Groups and Lie Groups; Integralrechnung und -gleichungen; Mathematische Analysis, allgemein; Gruppen und Gruppentheorie; BC; EA

In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds—hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support questions, (iv) applications (e.g., to tomography, partial differential equations and group representations). For the case of the plane, the inversion theorem and the support theorem have had major applications in medicine through tomography and CAT scanning. While containing some recent research, the book is aimed at beginning graduate students for classroom use or self-study. A number of exercises point to further results with documentation. From the reviews: “Integral Geometry is a fascinating area, where numerous branches of mathematics meet together. The contents of the book is concentrated around the duality and double fibration, which is realized through the masterful treatment of a variety of examples. The book is written by an expert, who has made fundamental contributions to the area.” —Boris Rubin, Louisiana State University

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