Mathematical Constants Ii

Author : Steven R. Finch
Publisher : Cambridge University Press
Page : 783 pages
File Size : 48,8 Mb
Release : 2003
Category : Mathematics
ISBN : 9781108470599

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Mathematical Constants II by Steven R. Finch Pdf

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 : 634 pages
File Size : 52,7 Mb
Release : 2003-08-18
Category : Mathematics
ISBN : 0521818052

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Mathematical Constants by Steven R. Finch Pdf

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 : Unknown
Page : 624 pages
File Size : 42,9 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1107266912

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Mathematical Constants by Steven R. Finch Pdf

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 : 45,6 Mb
Release : 2018-12-06
Category : Mathematics
ISBN : 9781108604031

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Mathematical Constants II by Steven R. Finch Pdf

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 : 41,9 Mb
Release : 2022-11-21
Category : Fiction
ISBN : EAN:8596547415282

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Miscellaneous Mathematical Constants by Various Pdf

"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 : Milton Abramowitz,Irene A. Stegun
Publisher : Courier Corporation
Page : 1068 pages
File Size : 44,5 Mb
Release : 1965-01-01
Category : Mathematics
ISBN : 0486612724

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Handbook of Mathematical Functions by Milton Abramowitz,Irene A. Stegun Pdf

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 : 50,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662029015

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Geometry II by E.B. Vinberg Pdf

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 : Simon Plouffe
Publisher : Createspace Independent Publishing Platform
Page : 172 pages
File Size : 48,5 Mb
Release : 2017-06-03
Category : Electronic
ISBN : 1547070935

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Miscellaneous Mathematical Constants by Simon Plouffe Pdf

Miscellaneous Mathematical Constants by Simon Plouffe

Author : Simon Plouffe
Publisher : Unknown
Page : 128 pages
File Size : 54,8 Mb
Release : 1996
Category : Electronic
ISBN : OCLC:703938436

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Miscellaneous Mathematical Constants by Simon Plouffe Pdf

Author : John D. Barrow
Publisher : Random House
Page : 370 pages
File Size : 54,7 Mb
Release : 2010-07-06
Category : Science
ISBN : 9781407072715

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The Constants Of Nature by John D. Barrow Pdf

The constants of nature are the numbers that define the essence of the Universe. They tell us how strong its forces are, and what its fundamental laws can do: the strength of gravity, of magnetism, the speed of light, and the masses of the smallest particles of matter. They encode the deepest secrets of the Universe and express at once our greatest knowledge and our greatest ignorance about the cosmos. Their existence has taught us the profound truth that Nature abounds with unseen regularities. Yet, while we have become skilled at measuring the values of these constants, our frustrating inability to explain or predict their values shows how much we still have to learn about the inner workings of the Universe. What is the ultimate status of these constants of Nature? Are they truly constant? Could life have evolved and persisted if they were even slightly different? And are there other Universes where they are different? These are some of the issues that this book grapples with. It looks back to the discoveries of the first constants of Nature and the impact they had on scientists like Einstein. This book also tells the story of a tantalising new development in astronomy. For the first time astronomical observations are suggesting that some of the constants of Nature were different when the Universe was younger. So are our laws of Nature slowly changing? Is anything about our Universe immune from the ravages of time? Are there any constants of Nature at all?

Author : Claude E Shannon,Warren Weaver
Publisher : University of Illinois Press
Page : 144 pages
File Size : 50,8 Mb
Release : 1998-09-01
Category : Language Arts & Disciplines
ISBN : 9780252098031

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The Mathematical Theory of Communication by Claude E Shannon,Warren Weaver Pdf

Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

Author : Ben Orlin
Publisher : Black Dog & Leventhal
Page : 556 pages
File Size : 44,6 Mb
Release : 2018-09-18
Category : Mathematics
ISBN : 9780316509022

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Math with Bad Drawings by Ben Orlin Pdf

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 45,6 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Author : Barry Mazur,William Stein
Publisher : Cambridge University Press
Page : 155 pages
File Size : 55,6 Mb
Release : 2016-04-11
Category : Mathematics
ISBN : 9781107101920

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Prime Numbers and the Riemann Hypothesis by Barry Mazur,William Stein Pdf

This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.

Author : Leslie John Comrie
Publisher : Unknown
Page : 614 pages
File Size : 50,8 Mb
Release : 1948
Category : Logarithms
ISBN : RUTGERS:39030010090738

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Chamber's Six-figure Mathematical Tables by Leslie John Comrie Pdf