How Euler Did Even More

Author: C. Edward Sandifer

Publisher: The Mathematical Association of America

ISBN: 0883855844

Category: Mathematics

Page: 240

View: 7860

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Sandifer has been studying Euler for decades and is one of the world’s leading experts on his work. This volume is the second collection of Sandifer’s “How Euler Did It” columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician of history, this volume will leave you marveling at Euler’s clever inventiveness and Sandifer’s wonderful ability to explicate and put it all in context.
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Tales of Impossibility

The 2000-Year Quest to Solve the Mathematical Problems of Antiquity

Author: David S. Richeson

Publisher: Princeton University Press

ISBN: 0691192960

Category: Mathematics

Page: 456

View: 9432

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A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—demonstrating the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.
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Speech Spectrum Analysis

Author: Sean A. Fulop

Publisher: Springer Science & Business Media

ISBN: 9783642174780

Category: Technology & Engineering

Page: 206

View: 5453

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The accurate determination of the speech spectrum, particularly for short frames, is commonly pursued in diverse areas including speech processing, recognition, and acoustic phonetics. With this book the author makes the subject of spectrum analysis understandable to a wide audience, including those with a solid background in general signal processing and those without such background. In keeping with these goals, this is not a book that replaces or attempts to cover the material found in a general signal processing textbook. Some essential signal processing concepts are presented in the first chapter, but even there the concepts are presented in a generally understandable fashion as far as is possible. Throughout the book, the focus is on applications to speech analysis; mathematical theory is provided for completeness, but these developments are set off in boxes for the benefit of those readers with sufficient background. Other readers may proceed through the main text, where the key results and applications will be presented in general heuristic terms, and illustrated with software routines and practical "show-and-tell" discussions of the results. At some points, the book refers to and uses the implementations in the Praat speech analysis software package, which has the advantages that it is used by many scientists around the world, and it is free and open source software. At other points, special software routines have been developed and made available to complement the book, and these are provided in the Matlab programming language. If the reader has the basic Matlab package, he/she will be able to immediately implement the programs in that platform---no extra "toolboxes" are required.
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Euler as Physicist

Author: Dieter Suisky

Publisher: Springer Science & Business Media

ISBN: 3540748652

Category: Science

Page: 338

View: 5258

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The subject of the book is the development of physics in the 18th century centered upon the fundamental contributions of Leonhard Euler to physics and mathematics. This is the first book devoted to Euler as a physicist. Classical mechanics are reconstructed in terms of the program initiated by Euler in 1736 and its completion over the following decades until 1760. The book examines how Euler coordinated his progress in mathematics with his progress in physics.
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Doing it Differently

Systems for Rethinking Construction

Author: D. I. Blockley,Patrick Godfrey

Publisher: Thomas Telford

ISBN: 9780727727480

Category: Technology & Engineering

Page: 320

View: 2917

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"This is a serious and impressive work. It will help those who are committed to changing the industry to create structures to do so, whether in one area or in totality. It offers a whole range of powerful tools, which will be particularly useful to those with the personal drive to apply them to rethinking construction. It is packed with examples that help to flesh out a rigorous analysis of how the industry can improve."David Fison, Kvaerner Construction
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Signal Conditioning

An Introduction to Continuous Wave Communication and Signal Processing

Author: Apurba Das

Publisher: Springer Science & Business Media

ISBN: 3642288189

Category: Technology & Engineering

Page: 312

View: 6634

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“Signal Conditioning” is a comprehensive introduction to electronic signal processing. The book presents the mathematical basics including the implications of various transformed domain representations in signal synthesis and analysis in an understandable and lucid fashion and illustrates the theory through many applications and examples from communication systems. The ease to learn is supported by well-chosen exercises which give readers the flavor of the subject. Supplementary electronic material is available on http://extras.springer.com including MATLAB codes illuminating applications in the domain of one dimensional electrical signal processing, image processing, and speech processing. The book is an introduction for students with a basic understanding in engineering or natural sciences.
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History of Science

Author: Alistair Cameron Crombie,Michael A. Hoskin

Publisher: N.A

ISBN: N.A

Category: Books

Page: N.A

View: 4571

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A review of literature and research in the history of science, medicine and technology in its intellectual and social context.
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