The Measure of the Circle

The Measure of the Circle PDF Author: John Davis
Publisher:
ISBN:
Category : Circle-squaring
Languages : en
Pages : 172

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The Measure of the Circle

The Measure of the Circle PDF Author: John Davis
Publisher:
ISBN:
Category : Circle-squaring
Languages : en
Pages : 172

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Book Description


The Measure of the Circle. Perfected in January, 1845

The Measure of the Circle. Perfected in January, 1845 PDF Author: John DAVIS (of Providence, Rhode Island.)
Publisher:
ISBN:
Category : Circle-squaring
Languages : en
Pages : 166

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Around the Unit Circle

Around the Unit Circle PDF Author: James McKee
Publisher: Springer Nature
ISBN: 3030800318
Category : Mathematics
Languages : en
Pages : 444

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Book Description
Mahler measure, a height function for polynomials, is the central theme of this book. It has many interesting properties, obtained by algebraic, analytic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as Lehmer’s Problem (1933) and Boyd’s Conjecture (1981). This book contains a wide range of results on Mahler measure. Some of the results are very recent, such as Dimitrov’s proof of the Schinzel–Zassenhaus Conjecture. Other known results are included with new, streamlined proofs. Robinson’s Conjectures (1965) for cyclotomic integers, and their associated Cassels height function, are also discussed, for the first time in a book. One way to study algebraic integers is to associate them with combinatorial objects, such as integer matrices. In some of these combinatorial settings the analogues of several notorious open problems have been solved, and the book sets out this recent work. Many Mahler measure results are proved for restricted sets of polynomials, such as for totally real polynomials, and reciprocal polynomials of integer symmetric as well as symmetrizable matrices. For reference, the book includes appendices providing necessary background from algebraic number theory, graph theory, and other prerequisites, along with tables of one- and two-variable integer polynomials with small Mahler measure. All theorems are well motivated and presented in an accessible way. Numerous exercises at various levels are given, including some for computer programming. A wide range of stimulating open problems is also included. At the end of each chapter there is a glossary of newly introduced concepts and definitions. Around the Unit Circle is written in a friendly, lucid, enjoyable style, without sacrificing mathematical rigour. It is intended for lecture courses at the graduate level, and will also be a valuable reference for researchers interested in Mahler measure. Essentially self-contained, this textbook should also be accessible to well-prepared upper-level undergraduates.

Trigonometry For Dummies

Trigonometry For Dummies PDF Author: Mary Jane Sterling
Publisher: John Wiley & Sons
ISBN: 1118827570
Category : Mathematics
Languages : en
Pages : 384

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Book Description
A plain-English guide to the basics of trig Trigonometry deals with the relationship between the sides and angles of triangles... mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music theory, biology, medical imaging, cryptology, game development, and seismology. From sines and cosines to logarithms, conic sections, and polynomials, this friendly guide takes the torture out of trigonometry, explaining basic concepts in plain English and offering lots of easy-to-grasp example problems. It also explains the "why" of trigonometry, using real-world examples that illustrate the value of trigonometry in a variety of careers. Tracks to a typical Trigonometry course at the high school or college level Packed with example trig problems From the author of Trigonometry Workbook For Dummies Trigonometry For Dummies is for any student who needs an introduction to, or better understanding of, high-school to college-level trigonometry.

The ratio between diameter and circumference in a circle demonstrated by angles, and Euclid's theorem, proposition 32, book 1, proved to be fallacious

The ratio between diameter and circumference in a circle demonstrated by angles, and Euclid's theorem, proposition 32, book 1, proved to be fallacious PDF Author: James Smith
Publisher:
ISBN:
Category :
Languages : en
Pages : 634

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The Annual Statistician and Economist

The Annual Statistician and Economist PDF Author:
Publisher:
ISBN:
Category : Statistics
Languages : en
Pages : 696

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Spectral Theory of Dynamical Systems

Spectral Theory of Dynamical Systems PDF Author: Mahendra Ganpatrao Nadkarni
Publisher: Springer Science & Business Media
ISBN: 9783764358174
Category : Mathematics
Languages : en
Pages : 204

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Book Description
This book treats some basic topics in the spectral theory of dynamical systems, where by a dynamical system we mean a measure space on which a group of automorphisms acts preserving the sets of measure zero. The treatment is at a general level, but even here, two theorems which are not on the surface, one due to H. Helson and W. Parry and the other due to B. Host are presented. Moreover non­ singular automorphisms are considered and systems ofimprimitivity are discussed. and they are used to describe Riesz products, suitably generalised, are considered the spectral types and eigenvalues of rank one automorphisms. On the other hand topics such as spectral characterisations of various mixing conditions, which can be found in most texts on ergodic theory, and also the spectral theory of Gauss Dynamical Systems, which is very well presented in Cornfeld, Fomin, and Sinai's book on Ergodic Theory, are not treated in this book. A number of discussions and correspondence on email with El Abdalaoui El Houcein made possible the presentation of mixing rank one construction of D. S. Ornstein. Iam deeply indebted to G. R. Goodson. He has edited the book and suggested a number of corrections and improvements in both content and language.

Astronomy and Astronomical Geography

Astronomy and Astronomical Geography PDF Author: Emma Willard
Publisher:
ISBN:
Category : Astronomy
Languages : en
Pages : 314

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Encyclopædia Britannica: Or, a Dictionary of Arts, Sciences, and Miscellaneous Literature; Enlarged and Improved. Vol. 1. [- 20.]

Encyclopædia Britannica: Or, a Dictionary of Arts, Sciences, and Miscellaneous Literature; Enlarged and Improved. Vol. 1. [- 20.] PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 872

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Encyclopaedia Britannica

Encyclopaedia Britannica PDF Author: James Millar
Publisher:
ISBN:
Category : Encyclopedias and dictionaries
Languages : en
Pages : 870

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