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1. |
Record Nr. |
UNINA9910455569703321 |
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Autore |
Driscoll Tobin A (Tobin Allen), <1969-> |
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Titolo |
Schwarz-Christoffel mapping / / Tobin A. Driscoll, Lloyd N. Trefethen [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2002 |
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ISBN |
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1-107-12446-8 |
1-280-41925-3 |
9786610419258 |
0-511-17662-7 |
0-511-15752-5 |
0-511-32970-9 |
0-511-54680-7 |
0-511-04440-2 |
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Descrizione fisica |
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1 online resource (xvi, 132 pages) : digital, PDF file(s) |
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Collana |
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Cambridge monographs on applied and computational mathematics ; ; 8 |
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Disciplina |
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Soggetti |
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Schwarz-Christoffel transformation |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. 121-130) and index. |
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Nota di contenuto |
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; 1. Introduction. ; 1.1. The Schwarz-Christoffel idea. ; 1.2. History -- ; 2. Essentials of Schwarz-Christoffel mapping. ; 2.1. Polygons. ; 2.2. The Schwarz-Christoffel formula. ; 2.3. Polygons with one or two vertices. ; 2.4. Triangles. ; 2.5. Rectangles and elliptic functions. ; 2.6. Crowding -- ; 3. Numerical methods. ; 3.1. Side-length parameter problem. ; 3.2. Quadrature. ; 3.3. Inverting the map. ; 3.4. Cross-radio parameter problem. ; 3.5. Mapping using cross-ratios. ; 3.6. Software -- ; 4. Variations. ; 4.1. Mapping from the disk. ; 4.2. Mapping from a strip. ; 4.3. Mapping from a rectangle. ; 4.4. Exterior maps. ; 4.5. Periodic regions and fractals. ; 4.6. Reflections and other transformations. ; 4.7. Riemann surfaces. ; 4.8. Gearlike regions. |
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Sommario/riassunto |
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This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and many applications in fields such as electromagnetism, fluid flow, design and |
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inverse problems, and the solution of linear systems of equations. It is an accessible resource for engineers, scientists, and applied mathematicians who seek more experience with theoretical or computational conformal mapping techniques. The most important theoretical results are stated and proved, but the emphasis throughout remains on concrete understanding and implementation, as evidenced by the 76 figures based on quantitatively correct illustrative examples. There are over 150 classical and modern reference works cited for readers needing more details. There is also a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, a package for computation of these maps. |
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2. |
Record Nr. |
UNINA9910774781703321 |
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Titolo |
Bilddenken und Morphologie : Interdisziplinäre Studien über Form und Bilder im philosophischen und wissenschaftlichen Denken / / hrsg. von Laura Follesa, Federico Vercellone |
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Pubbl/distr/stampa |
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Berlin ; ; Boston : , : De Gruyter, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (V, 305 p.) : 3 Matrixen im Beitrag Jost |
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Disciplina |
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Soggetti |
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Image (Philosophy) |
PHILOSOPHY / History & Surveys / Modern |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di contenuto |
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Frontmatter -- Inhalt -- Bilddenken und Morphologie: Eine Einleitung -- Vorstellungskraft und Bewusstsein: Die italienische Traumdebatte zwischen dem 18. und 19. Jahrhundert -- The Image of the Universe and Its Purpose: Kant on Hypotyposis and Functional Cosmology -- Analogical Thought, Natural Forms, and Human Type in Johann Gottfried Herder's Work -- Ein lebendiges Bild: Die Porträts von historischen Persönlichkeiten bei Herder -- Naturgeschichte und Rassenklassifikation: Zu Blumenbachs Anthropologie und ihrer |
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Rezeption -- Morphologie in der metaphysischen Naturphilosophie und romantischen Naturforschung und Medizin um 1800 -- Morphology and Literature -- Goethe and Gestalt Psychology: A Commonplace Revisited -- Oswald Spengler und die ,Formensprache' der Geschichte -- ,Geschichtskörper' und ,Kulturbewegung': Morphologie und Metaphorik bei Alfred Weber -- "Das Wissen von fremden Ichen": Mindreading und Einfühlung unter Berücksichtigung von Theodor Lipps -- Verkörperung: Bild und Experiment bei Edgar Wind und die aktuelle Lage der morphologischen Forschung -- The Form of the Audiovisual Relationship -- Die illegitime Zeit: Ästhetik und politische Theologie -- Carl Schmitt's Morphology: From Political Theology to Aesthetics -- The Evolutionary Roots of Sociality -- Visualizing Ontogenetic and Phylogenetic Transitions among Closely Related Morphotypes as a Tool to Investigate Evolvability -- Was ist ein Merkmal? -- Autorenverzeichnis -- Sachregister -- Namenregister |
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Sommario/riassunto |
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Welches Verhältnis besteht zwischen "Bild" und menschlichem Denken? Welche Rolle spielt das Konzept der "Form" im menschlichen Wissen? Forscher aus Philosophie, Kulturwissenschaften, Wissenschaftsgeschichte, Ästhetik, Literatur, Anthropologie, Mathematik und Biologie untersuchen aus historischer und theoretischer Perspektive den Zusammenhang zwischen der Aktivität des Denkens und den Konzepten von Bild und Form. |
What is the relationship between "image" and human thinking? What is the role of the concept of "form" in human knowledge? Scholars from the fields of philosophy, cultural studies, the history of science, aesthetics, literature, anthropology, mathematics, and biology take historical and theoretical approaches to investigate the connection between the activity of thinking and concepts of image and form. |
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