Böcker utgivna av Amarilli Books

From modern neuroscience we now know that everything we think, understand, perceive, and experience, is a construct of brain function. Objects and Structures (Object Theory) is an approach to mathematics in this context. It is not, in itself, mathematics as we know it, rather, it is metamathematics. It is a way of looking at mathematics and mathematical structures, and at numbers and the relations between numbers, in essence. Firstly, we recognise that all our structures of understanding must be related to dynamic structures of brain function. Secondly, we recognise that numbers and their relations correlate to objects and phenomena, and their relations in the material world, when understood in terms of numbers. Thirdly, we recognise that the material world as we encounter it is a structure of brain function. Fourthly, we recognise that our comprehension and understanding of any "proof" of the traditional kind in mathematics, or indeed other mathematical architecture, we also only encounter as a structure of brain function. Taking these points together we can consider all things simply in terms of structures of relations between distinct objects. These objects are not neurons in the brain, or networks of neurons, but rather, just what we conceive as "objects". They are whatever we consider to be an object, and any object of thought. Whilst Object Theory does deal with numbers, its viewpoint is from an ultranumeric position - a viewpoint in which we abandon any intellectually intuitive belief that numbers and the mathematical structures that arise from their relations, should be fundamental to our deepest understanding. Rather we focus on how all phenomena and objective concept-structures can be considered at the highest level of abstraction as structures of relations between distinct objects. This then also allows a way of understanding infinities and their relations both to numbers and other infinities. A core concept is the infinite iteration process or IIP. In a "real world" context, in terms of empirical mathematics, the natural structures of the Mandelbrot and Julia sets, for example, because they are created in the first instance through IIPs, can be explored on the basis of IIPs as objects. This then gives rise to insights on the relation between the real numbers and the continuum.

The leading textbook and the most comprehensive source available, for both practicing piano tuners and academic researchers, on the theory and practice of piano tuning. By the former Royal National College lecturer in Piano Technology and Tuning Theory. 680 pages, with over 300 illustrations and tables.The book covers in-depth theory and practice from elementary to advanced level. It answers common questions raised by students of piano tuning about the actual soundscapes and behaviour of piano tone that are encountered in tuning practice. It is suitable for both students and professionals of piano tuning, general readers, and academics with interdisciplinary interests in the subject.Includes: Why we need skilled piano tuners Intonation and tone The distance between theory and the art Theory of sound Temperament theory Elementary "traditional" tuning and beat rate theory What contemporary acoustics reveals What attenuation is, and why it is so important Beyond the 19th century model - How "beating" and "beat rates" really work Beyond the 19th century model - How tempered intervals really behave in fine tuning False beat phenomenon and its influence The effects of bridge coupling How real tone- envelopes behave in fine tuning Inharmonicity and small piano syndrome What octave stretching is, why, and how it works Setting the pin - the theory behind it and how to practice it Scale plasticity, logic, and tuning technique Psychoacoustics and how to listenContents: AcknowledgmentsPiano tuning and this bookPart 1 - Background Theory The invisible art and science The essential ideas Sound Temperament Theory "Traditional" piano tuning theory and elementary practice The soundscape, spectrum and tone Partial decay patternsPart 2 - Fine Tuning Practice Unison Tuning Tuning the Scale Octave tuning Setting the Pin Setting the pitch Small piano syndrome Hearing The Kirk ExperimentPart 3 - Advanced Theory The single piano string in one plane The Weinreich Model Two strings, two planes The Trichord Further comments on false partials InharmonicityGlossary of key conceptsSelect bibliography