Reise zum Mittelpunkt der Mathematik

by Robert Resel

Book cover: Reise zum Mittelpunkt der Mathematik

Extent: 312 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Language: German

Paperback (Published)

(March 2014)

ISBN: 9783832536725

6.65 x 9.45 inches

Price: $47.00

In stock

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English summary: This book offers both the mathematically interested and mathematical devotees a collection of mathematical delicacies, independent of their background. The engaged reader will find here zesty inducements as the basis of their lessons. The book begins with a dozen introductions to the scalar or vectorial products of two vectors spanning the arch over the particularly beautiful, if somewhat easily forgotten, treasures of geometry, numerous models, projective geometry, and goes right up to select linear models. Besides the analytical approach of spatial geometry, the examples are rendered more accessible through numerous visual representations. Following a selection of themes from algebra and analysis as well as stochastic theory, the central and an expanded approach to conical sections in the form of several inner and also some extra-mathematical aspects are above all the central feature of this book, which hopes to demonstrate to the reader the beauty of mathematics. German description: Dieses Buch bietet allen Interessenten und Liebhabern der Mathematik eine Sammlung mathematischer Leckerbissen, unabhangig von ihrem mathematischen Vorwissen. Insbesondere engagierte Lehrer finden hier reizvolle Anregungen fur die Gestaltung ihres Unterrichts. Beginnend mit je einem Dutzend Zugangen zum skalaren bzw. vektoriellen Produkt zweier Vektoren spannt sich der Bogen weiter uber besonders schone, teils fast vergessene S(ch)atze der Geometrie, zahlreiche Abbildungsmethoden, projektive Geometrie bis hin zu ausgesuchten linearen Abbildungen. Neben der analytischen Behandlung der Raumgeometrie wird diese durch zahlreiche Abbildungen auch visuell zuganglich gemacht. Nach einer Auswahl von Themen der Algebra und Analysis sowie der Stochastik ist vor allem die vertiefte Behandlung der Kegelschnitte in Form zahlreicher inner- sowie auch einiger aussermathematischer Aspekte ein zentraler Bestandteil dieses Buchs, welches dem Leser vor allem die Schonheit der Mathematik aufzeigen will.

  • By (author) Robert Resel

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