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1. |
Record Nr. |
UNINA9910790362803321 |
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Autore |
Alsina Claudi |
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Titolo |
Charming proofs : a journey into elegant mathematics / / Claudi Alsina, Roger B. Nelsen [[electronic resource]] |
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Pubbl/distr/stampa |
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Washington : , : Mathematical Association of America, , 2010 |
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ISBN |
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Descrizione fisica |
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1 online resource (xxiv, 295 pages) : digital, PDF file(s) |
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Collana |
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Dolciani Mathematical Expositions, ; v. 42 |
Dolciani mathematical expositions ; ; no. 42 |
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Disciplina |
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Soggetti |
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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 02 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. 275-287) and index. |
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Nota di contenuto |
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A garden of integers -- Distinguished numbers -- Points in the plane -- The polygonal playground -- A treasury of triangle theorems -- The enchantment of the equilateral triangle -- The quadrilaterals' corner -- Squares everywhere -- Curves ahead -- Adventures in tiling and coloring -- Geometry in three dimensions -- Additional theorems, problems, and proofs. |
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Sommario/riassunto |
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Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy.' Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, to share their discoveries with others, and to become involved in the process of creating new proofs. Charming Proofs is organized as follows. Following a short introduction about proofs and the process of creating proofs, the authors present, in twelve chapters, a wide and varied selection of proofs they consider charming, Topics include the integers, selected real numbers, points in the plane, triangles, squares, and other polygons, curves, inequalities, plane tilings, origami, colorful proofs, three-dimensional geometry, etc. At the end of each chapter are some challenges that will draw the |
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reader into the process of creating charming proofs. There are over 130 such challenges. Charming Proofs concludes with solutions to all of the challenges, references, and a complete index. As in the authors previous books with the MAA (Math Made Visual and When Less Is More), secondary school and college and university teachers may wish to use some of the charming proofs in their classrooms to introduce their students to mathematical elegance. Some may wish to use the book as a supplement in an introductory course on proofs, mathematical reasoning, or problem solving. |
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2. |
Record Nr. |
UNINA9910483010503321 |
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Autore |
Ampofo Ado |
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Titolo |
Betriebswirtschaftliche Grundlagen für Mediziner und medizinisches Fachpersonal / / von Ado Ampofo |
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Pubbl/distr/stampa |
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Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Gabler, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (IX, 186 S. 52 Abb.) |
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Disciplina |
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Soggetti |
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Health services administration |
Health Care Management |
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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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Nota di contenuto |
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Das Unternehmen als vitaler Organismus -- Marketing -- Grundlagen der betrieblichen Organisation -- Rechtsformen -- Ärztliche Unternehmens- und Kooperationsformen -- Externes Rechnungswesen -- Internes Rechnungswesen -- Forderungsmanagement und Liquidität -- Steuern. |
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Sommario/riassunto |
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Dieses Lehrbuch vermittelt Grundkenntnisse im Bereich der Betriebswirtschaftslehre für praxisnah ausgebildete medizinische Fachkräfte, die Ärzte im Bereich der Verwaltung, Praxisorganisation, Administration und Leistungsabrechnung unterstützen. Zahlreiche Reformen innerhalb des Gesundheitssystems führen seit Jahren dazu, dass sich auch Praxen und Krankenhäuser mehr und mehr an den |
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Bedürfnissen des Marktes orientieren müssen. Dies macht es für verwaltungsnah eingesetztes medizinisches Fachpersonal erforderlich, sich mit grundlegenden betriebswirtschaftlichen Vorgängen und Zusammenhängen auseinanderzusetzen. Im beruflichen Alltag stellt sich oft die Herausforderung Leistungen abzurechnen und mit Krankenkassen, Ärztekammern, Steuerberatern, Lieferanten und Patienten auch über wirtschaftliche Vorgänge zu kommunizieren. Selbst wenn eine Vielzahl der Aufgaben häufig delegiert werden kann, ist es dennoch erforderlich, über das notwendige Wissen zu verfügen, um die Ergebnisse oder angebotenen Konzepte zu überprüfen und zu bewerten zu können. Dieses Buch richtet sich an Mitarbeiter in Arztpraxen, Krankenhäusern und an Beschäftigte von Pflegeeinrichtungen, die Grundkenntnisse realitäts- und anwendungsnah erlernen möchten. Der Inhalt • Das Unternehmen - Abbild eines vitalen Organismus • Der Gesundheitsbetrieb als Unternehmen und seine Ziele • Marketing • Grundlagen des Rechnungswesens • Forderungsmanagement und Liquidität • Rechtsformen der Unternehmen • Steuern • Aufgaben und Wiederholungsfragen • Lösungen Der Autor Ado Ampofo unterrichtet in der beruflichen Weiter- und Fortbildung und lehrt an der Universität Koblenz-Landau Betriebswirtschaftslehre. |
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3. |
Record Nr. |
UNINA9910144596103321 |
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Autore |
Burstall Francis E |
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Titolo |
Conformal Geometry of Surfaces in S4 and Quaternions / / by Francis E. Burstall, Dirk Ferus, Katrin Leschke, Franz Pedit, Ulrich Pinkall |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
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ISBN |
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Edizione |
[1st ed. 2002.] |
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Descrizione fisica |
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1 online resource (VIII, 96 p.) |
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Collana |
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Lecture Notes in Mathematics, , 1617-9692 ; ; 1772 |
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Disciplina |
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Soggetti |
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Geometry, Differential |
Differential Geometry |
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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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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Quaternions -- Linear algebra over the quaternions -- Projective spaces -- Vector bundles -- The mean curvature sphere -- Willmore Surfaces -- Metric and affine conformal geometry -- Twistor projections -- Bäcklund transforms of Willmore surfaces -- Willmore surfaces in S3 -- Spherical Willmore surfaces in HP1 -- Darboux transforms -- Appendix: The bundle L. Holomorphicity and the Ejiri theorem. |
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Sommario/riassunto |
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The conformal geometry of surfaces recently developed by the authors leads to a unified understanding of algebraic curve theory and the geometry of surfaces on the basis of a quaternionic-valued function theory. The book offers an elementary introduction to the subject but takes the reader to rather advanced topics. Willmore surfaces in the foursphere, their Bäcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given. |
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