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Learning group theory,. Integrals of logarithms, continued fractions, mathematical analysis, violin acoustics, undergraduate math problems,. And some paintings and local history . sharing my personal interests! Welcome to John Coffey's web site of interesting finds in mathematics. This website is for maths students and amateurs who enjoy exploring maths and acoustics for interest. I am not a professional mathematician, so there are no high-powered research papers here - just the work of an enthusiast.

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mathstudio home page | mathstudio.co.uk Reviews

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Learning group theory,. Integrals of logarithms, continued fractions, mathematical analysis, violin acoustics, undergraduate math problems,. And some paintings and local history . sharing my personal interests! Welcome to John Coffey's web site of interesting finds in mathematics. This website is for maths students and amateurs who enjoy exploring maths and acoustics for interest. I am not a professional mathematician, so there are no high-powered research papers here - just the work of an enthusiast.

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1 math

2 integration

3 logarithm

4 complex-contour

5 group-theory

6 continued fraction

7 sequences

8 series

9 convergences

10 PermGroup

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other sections are,sequences and serie,continued fractions,group theory,integrals of log x,puzzles and problems,paintings,music,ii a fugue

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mathstudio home page | mathstudio.co.uk Reviews

https://mathstudio.co.uk

Learning group theory,. Integrals of logarithms, continued fractions, mathematical analysis, violin acoustics, undergraduate math problems,. And some paintings and local history . sharing my personal interests! Welcome to John Coffey's web site of interesting finds in mathematics. This website is for maths students and amateurs who enjoy exploring maths and acoustics for interest. I am not a professional mathematician, so there are no high-powered research papers here - just the work of an enthusiast.

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mathstudio.co.uk

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paintimgs by john coffey

http://mathstudio.co.uk/painting.htm

Back to Home Page. One of my hobbies has been drawing and painting. Below is a selection. The colour and contrast will depend on your monitor screen, so are just a guide to the originals. Click on the pictures below for a larger image.

2

continued fractions

http://mathstudio.co.uk/cont-fractions.htm

An exploration of finite and infinite continued fractions,. Euclid's gcd algorithm, recurring continued fractions and square roots,. CFRAC factorisation algorithm, Pell's equation,. Rational approximation of irrationals, rates of convergence,. Liouville's transcendental numbers, Gauss-Khinchin probability distribution,. Defined by continued fractions, etc. Back to home page. Download the whole 200 pages here. The article is in five Parts covering many aspects of maths. If any remainder, r,. Is zero, the ...

3

violin & viola acoustics

http://mathstudio.co.uk/pitch_perception.htm

Back to home page. How we hear pitch and tone. The relation of frequency to pitch. After all, a descending scale played from Middle C (C4) on the viola down an octave to C3 does not start sounding an octave higher as the player moves down the string. The answer to this paradox lies in the way our brains make sense of a spectrum of frequencies in terms of 'pitch'. Listen to this first sound clip. The diagrams below show the waveforms and frequency spectra of four of these notes. So we hear the note at the...

4

violin & viola acoustics

http://mathstudio.co.uk/viola-acoustics.htm

Back to home page. Violin and Viola Acoustics. Investigating the design of stringed musical instruments. Using finite element analysis with Strand7, LISA and Mecway software. How do we hear the pitch of a note? Ere is another article. 137 pages) on sound radiation from vibrating objects, including small revisions made in June 2015. S ee my account of how we hear sounds and recognise pitch; how our ear work to amplify sounds and tell one frequency from another. I also. Discusses the 'missing fundamental' ...

5

math puzzles and problems

http://mathstudio.co.uk/problems.htm

Maths Puzzles and Problems. Back to home page. Here are 20 maths problems and my attempts at answers. Some were collected by maths lecturers at the University of Manchester and used within an undergraduate problem solving course. A few are from maths olympiad competitions, as organised by the Mathematical Association of America. Others are from English A and S Levels maths examination papers dating from the1950s, when questions were quite hard! Back to Home Page. Q2: Evaluate the integral. Q3: Show that ...

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mathstudio home page

Learning group theory,. Integrals of logarithms, continued fractions, mathematical analysis, violin acoustics, undergraduate math problems,. And some paintings and local history . sharing my personal interests! Welcome to John Coffey's web site of interesting finds in mathematics. This website is for maths students and amateurs who enjoy exploring maths and acoustics for interest. I am not a professional mathematician, so there are no high-powered research papers here - just the work of an enthusiast.

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