[PDF] Mathematical Constants Ii eBook

Author : Steven R. Finch
Publisher : Cambridge University Press
Page : 634 pages
File Size : 28,46 MB
Release : 2003-08-18
Category : Mathematics
ISBN : 9780521818056

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Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Author : Steven R. Finch
Publisher : Cambridge University Press
Page : 783 pages
File Size : 35,67 MB
Release : 2018-12-06
Category : Mathematics
ISBN : 110860403X

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Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson–Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl–Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton–Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Author : Steven R. Finch
Publisher : Cambridge University Press
Page : 783 pages
File Size : 23,93 MB
Release : 2003
Category : Mathematics
ISBN : 1108470599

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Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Author : Various
Publisher : DigiCat
Page : 166 pages
File Size : 22,26 MB
Release : 2022-11-21
Category : Fiction
ISBN :

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"Miscellaneous Mathematical Constants" is a collection of mathematical constants. The constants include The Backhouse constant, The Berstein Constant, The Catalan Constant, The Champernowne, Constant Copeland-Erdos constant cos (1) to 15000 digits among others as compiled and presented by the famed mathematician Simon Plouffe. Simon Plouffe is a mathematician who discovered the Bailey–Borwein–Plouffe formula (BBP algorithm) which permits the computation of the nth binary digit of π, in 1995.

Author : William Dunham
Publisher : Princeton University Press
Page : 256 pages
File Size : 17,29 MB
Release : 2018-11-13
Category : Mathematics
ISBN : 069118285X

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More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.

Author : Steven R. Finch
Publisher :
Page : 624 pages
File Size : 50,99 MB
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 9781107266919

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Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Author : John Barrow
Publisher : Vintage
Page : 370 pages
File Size : 36,10 MB
Release : 2009-05-06
Category : Science
ISBN : 0307555356

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Reality as we know it is bound by a set of constants—numbers and values that dictate the strengths of forces like gravity, the speed of light, and the masses of elementary particles. In The Constants of Nature, Cambridge Professor and bestselling author John D.Barrow takes us on an exploration of these governing principles. Drawing on physicists such as Einstein and Planck, Barrow illustrates with stunning clarity our dependence on the steadfastness of these principles. But he also suggests that the basic forces may have been radically different during the universe’s infancy, and suggests that they may continue a deeply hidden evolution. Perhaps most tantalizingly, Barrow theorizes about the realities that might one day be found in a universe with different parameters than our own.

Author : Milton Abramowitz
Publisher : Courier Corporation
Page : 1068 pages
File Size : 43,43 MB
Release : 1965-01-01
Category : Mathematics
ISBN : 9780486612720

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An extensive summary of mathematical functions that occur in physical and engineering problems

Author : E.B. Vinberg
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 10,1 MB
Release : 2013-04-17
Category : Mathematics
ISBN : 3662029014

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A very clear account of the subject from the viewpoints of elementary geometry, Riemannian geometry and group theory – a book with no rival in the literature. Mostly accessible to first-year students in mathematics, the book also includes very recent results which will be of interest to researchers in this field.

Author : Matthew Watkins
Publisher : Bloomsbury Publishing USA
Page : 68 pages
File Size : 39,93 MB
Release : 2001-04-01
Category : Mathematics
ISBN : 0802713807

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Collected in this book are commonly used formulae for studies such as quadratics, calculus and trigonometry; in addition are simplified explanations of Newton's Laws of Gravity and Snell's Laws of Refraction. A glossary, a table of mathematical and physical constants, and a listing of Imperial and Metric conversions is also included.