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This Book Is In German. ... Read more

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Not all problems in this field require a knowledge of advanced mathematics, and thus, recreational mathematics often attracts the curiosity of non-mathematicians, and inspires their further study of mathematics.

This genre of mathematics includes logic puzzles and other puzzles that require deductive reasoning, the aesthetics of mathematics, and peculiar or amusing stories and coincidences about mathematics and mathematicians. Some of the more well-known topics in recreational mathematics are magic squares and fractals. ... Read more

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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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General Books publication date: 2009Original publication date: 1854Notes: This is a black and white OCR reprint of the original. It has no illustrations and there may be typos or missing text.When you buy the General Books edition of this book you get free trial access to Million-Books.com where you can select from more than a million books for free.Excerpt: THE FOCUS.It is a remarkable fact, and one which must never be lost sight of in photographic operations, tltat the rays which possess the greatest luminousness, do not likewise exercise the greatest chemical action. Therefore, even with an adjustment of the apparatus giving a perfectly clear and distinct image of the object, and with the most rigorously exact placing of the photographic plate or paper, there are still certain accessory conditions required to obtain a correct impression.The rainbow colors of the white ray refracted through the prisnia, are seen side by side on the surface on which they are thrown ; now in the camera-obscura, these colors or rays lie, properly speaking, behind one another, and cover each other, so that they appear to the eye as one -- coinciding all of them in the yellow ray as the most intense of them; it is accordingly to this ray that the optical focus of the camera-obscura is adjusted. But the yellow ray is not the one possessed of the most energetic chemical action ; it is the violet ray in which the chemical force and influence of light chiefly resides; the plate or paper intended for the reception of the image, must accordingly be placed in the focus of this latter ray. Now, as the length of each ray depends partly on the radius of the curvature of the lenses, partly on the refractive power of the vitreous mass, and partly also on the distance of the object from the object-glass, it follows that every object-glass must be specifically tried and tested, to determine the difference between the optical and cltemical focus.In non-achromatic lenses, the point of ... ... Read more

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This sheet music was newly engraved from early and authoritative editions. ... Read more

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Die allgemeine Psychologie in 4 kompakten Bänden! – Stellen Sie sich je nach Studien- und Prüfungsschwerpunkten aus dieser neuen Reihe die Module zusammen, die Sie benötigen. Dieser Band enthält alle prüfungsrelevanten Themen des Faches „Wahrnehmung und Aufmerksamkeit“ – von allgemeinen Prinzipien der Wahrnehmung und den Eigenschaften der Sinnessysteme über die Psychophysik bis hin zu den speziellen Wahrnehmungsleistungen des visuellen, auditiven, Geruchs-, Geschmacks- und Tastsinns im ersten Teil, sowie zentralen Themen der Aufmerksamkeitsforschung wie selektiver Aufmerksamkeit und die Bedeutung der Aufmerksamkeit für Handlungen im zweiten Teil. Die prüfungsrelevanten Themen des Faches sind vollständig abgedeckt und sehr lernfreundlich aufbereitet durch zahlreiche Fallbeispiele, Bezüge zur Berufspraxis, Definitionen, Lernziele, Kontrollfragen und vertiefende Literatur. Das Buch ist gleichzeitig sehr kompakt: eine ausführliche Randspalte (fast-track) bietet das Wichtigste in Kürze – damit auch unter Zeitdruck alles Wesentliche hängenbleibt. Und es bietet noch mehr: Die begleitende Website enthält zahlreiche Lerntools für Studierende und Materialien für Dozenten. ... Read more

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268 pages plus an appendix, unfinished symphony and facsimile of symphony ... Read more