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Voltaires Riddle Micromegas And The Measure Of All Things
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Book Synopsis Voltaire’s Riddle by : Andrew J. Simoson
Download or read book Voltaire’s Riddle written by Andrew J. Simoson and published by American Mathematical Soc.. This book was released on 2020-07-29 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Drawing Imagining Building by : Paul Emmons
Download or read book Drawing Imagining Building written by Paul Emmons and published by Routledge. This book was released on 2019-04-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing Imagining Building focuses on the history of hand-drawing practices to capture some of the most crucial and overlooked parts of the process. Using 80 black and white images to illustrate the examples, it examines architectural drawing practices to elucidate the ways drawing advances the architect’s imagination. Emmons considers drawing practices in the Renaissance and up to the first half of the twentieth century. Combining systematic analysis across time with historical explication presents the development of hand-drawing, while also grounding early modern practices in their historical milieu. Each of the illustrated chapters considers formative aspects of architectural drawing practice, such as upright elevations, flowing lines and occult lines, and drawing scales to identify their roots in an embodied approach to show how hand-drawing contributes to the architect’s productive imagination. By documenting some of the ways of thinking through practices of architectural handdrawing, it describes how practices can enrich the ethical imagination of the architect. This book would be beneficial for academics, practitioners, and students of architecture, particularly those who are interested in the history and significance of hand-drawing and technical drawing.
Book Synopsis Mountains and Megastructures by : Martin Beattie
Download or read book Mountains and Megastructures written by Martin Beattie and published by Springer Nature. This book was released on 2020-12-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the shared qualities of mountains as naturally-formed landscapes, and of megastructures as manmade landscapes, seeking to unravel how each can be understood as an open system of complex network relationships (human, natural and artificial). By looking at mountains and megastructures in an interchangeable way, the book negotiates the fixed boundaries of natural and artificial worlds, to suggest a more complex relationship between landscape and architecture. It suggests an ecological understanding of the interconnectedness of architecture and landscape, and an entangled network of relations. Urban, colonialist, fictional, rural and historical landscapes are interwoven into this fabric that also involves discontinuities, tensions and conflicts as parts of a system that is never linear, but rather fluid and organic as driven by human endeavor.
Book Synopsis Voltaire: A Very Short Introduction by : Nicholas Cronk
Download or read book Voltaire: A Very Short Introduction written by Nicholas Cronk and published by Oxford University Press. This book was released on 2017-02-10 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Voltaire (1694-1778), best remembered as the author of Candide, is one of the central actors -- arguably the defining personality -- of the European Enlightenment. In this Very Short Introduction, Nicholas Cronk explores Voltaire's remarkable career and demonstrates how his thinking is pivotal to our notion and understanding of the Enlightenment. In a fresh and modern examination of his writings, Cronk examines the nature of Voltaire's literary celebrity, demonstrating the extent to which his work was reactive and practical, and therefore made sense within the broader context of the debates to which he responded. The most famous living author in Europe in the 18th century, Cronk emphasises Voltaire's skills of 'performance' as a writer and his continued relevance today. He concludes by looking not only at Voltaire's impact in literature and philosophy, but also his influence on French political values and modern French politics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Book Synopsis Exploring Continued Fractions: From the Integers to Solar Eclipses by : Andrew J. Simoson
Download or read book Exploring Continued Fractions: From the Integers to Solar Eclipses written by Andrew J. Simoson and published by American Mathematical Soc.. This book was released on 2021-04-30 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a nineteen-year recurrence in the apparent position of the sun and moon against the background of the stars, a pattern observed long ago by the Babylonians. In the course of those nineteen years the Earth experiences 235 lunar cycles. Suppose we calculate the ratio of Earth's period about the sun to the moon's period about Earth. That ratio has 235/19 as one of its early continued fraction convergents, which explains the apparent periodicity. Exploring Continued Fractions explains this and other recurrent phenomena—astronomical transits and conjunctions, lifecycles of cicadas, eclipses—by way of continued fraction expansions. The deeper purpose is to find patterns, solve puzzles, and discover some appealing number theory. The reader will explore several algorithms for computing continued fractions, including some new to the literature. He or she will also explore the surprisingly large portion of number theory connected to continued fractions: Pythagorean triples, Diophantine equations, the Stern-Brocot tree, and a number of combinatorial sequences. The book features a pleasantly discursive style with excursions into music (The Well-Tempered Clavier), history (the Ishango bone and Plimpton 322), classics (the shape of More's Utopia) and whimsy (dropping a black hole on Earth's surface). Andy Simoson has won both the Chauvenet Prize and Pólya Award for expository writing from the MAA and his Voltaire's Riddle was a Choice magazine Outstanding Academic Title. This book is an enjoyable ramble through some beautiful mathematics. For most of the journey the only necessary prerequisites are a minimal familiarity with mathematical reasoning and a sense of fun.
Book Synopsis A Mathematical Space Odyssey by : Claudi Alsina
Download or read book A Mathematical Space Odyssey written by Claudi Alsina and published by The Mathematical Association of America. This book was released on 2015-08-21 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. Courses in solid geometry have largely disappeared from American high schools and colleges. The authors are convinced that a mathematical exploration of three-dimensional geometry merits some attention in today’s curriculum. A Mathematical Space Odyssey: Solid Geometry in the 21st Century is devoted to presenting techniques for proving a variety of mathematical results in three-dimensional space, techniques that may improve one’s ability to think visually. Special attention is given to the classical icons of solid geometry (prisms, pyramids, platonic solids, cones, cylinders, and spheres) and many new and classical results: Cavalieri’s principle, Commandino’s theorem, de Gua’s theorem, Prince Rupert’s cube, the Menger sponge, the Schwarz lantern, Euler’s rotation theorem, the Loomis-Whitney inequality, Pythagorean theorems in three dimensions, etc. The authors devote a chapter to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. In addition to many figures illustrating theorems and their proofs, a selection of photographs of three-dimensional works of art and architecture are included. Each chapter includes a selection of Challenges for the reader to explore further properties and applications. It concludes with solutions to all the Challenges in the book, references, and a complete index. Readers should be familiar with high school algebra, plane and analytic geometry, and trigonometry. While brief appearances of calculus do occur, no knowledge of calculus is necessary to enjoy this book.
Book Synopsis A Guide to Advanced Linear Algebra by : Steven H. Weintraub
Download or read book A Guide to Advanced Linear Algebra written by Steven H. Weintraub and published by American Mathematical Soc.. This book was released on 2011-12-31 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides a rigorous and thorough development of linear algebra at an advanced level, and is directed at graduate students and professional mathematicians. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics"--Cover p. [4].
Book Synopsis Varieties of Integration by : C. Ray Rosentrater
Download or read book Varieties of Integration written by C. Ray Rosentrater and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historical introduction -- The Riemann integral -- The Darboux integral -- A functional zoo -- Another approach : measure theory -- The Lebesgue integral -- The Gauge integral -- Stieltjes-type integrals and extensions -- A look back -- Afterword : L2 spaces and Fourier series
Book Synopsis Icons of Mathematics: An Exploration of Twenty Key Images by : Claudi Alsina
Download or read book Icons of Mathematics: An Exploration of Twenty Key Images written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2020-06-01 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present twenty icons of mathematics, that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol and explore mathematical results associated with them. As with their previous books (Charming Proofs, When Less is More, Math Made Visual) proofs are visual whenever possible. The results require no more than high-school mathematics to appreciate and many of them will be new even to experienced readers. Besides theorems and proofs, the book contains many illustrations and it gives connections of the icons to the world outside of mathematics. There are also problems at the end of each chapter, with solutions provided in an appendix. The book could be used by students in courses in problem solving, mathematical reasoning, or mathematics for the liberal arts. It could also be read with pleasure by professional mathematicians, as it was by the members of the Dolciani editorial board, who unanimously recommend its publication.
Book Synopsis A Guide to Elementary Number Theory by : Underwood Dudley
Download or read book A Guide to Elementary Number Theory written by Underwood Dudley and published by MAA. This book was released on 2009 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory guide to elementary number theory for advanced undergraduates and graduates.
Book Synopsis Mathematics and Sports by : Joseph A. Gallian
Download or read book Mathematics and Sports written by Joseph A. Gallian and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible compendium of essays on the broad theme of mathematics and sports.
Download or read book Charming Proofs written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy.' Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, to share their discoveries with others, and to become involved in the process of creating new proofs. Charming Proofs is organized as follows. Following a short introduction about proofs and the process of creating proofs, the authors present, in twelve chapters, a wide and varied selection of proofs they consider charming. Topics include the integers, selected real numbers, points in the plane, triangles, squares and other polygons, curves, inequalities, plane tilings, origami, colorful proofs, threedimensional geometry, etc. At the end of each chapter are some challenges that will draw the reader into the process of creating charming proofs. There are over 130 such challenges. Charming Proofs concludes with solutions to all of the challenges, references, and a complete index. As in the authors' previous books with the MAA (Math Made Visual and When Less Is More), secondary school, college, and university teachers may wish to use some of the charming proofs in their classrooms to introduce their students to mathematical elegance. Some may wish to use the book as a supplement in an introductory course on proofs, mathematical reasoning, or problem solving.
Book Synopsis The Best Writing on Mathematics 2011 by : Mircea Pitici
Download or read book The Best Writing on Mathematics 2011 written by Mircea Pitici and published by Princeton University Press. This book was released on 2012 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year's finest writing on mathematics from around the world This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Ian Hacking discusses the salient features that distinguish mathematics from other disciplines of the mind; Doris Schattschneider identifies some of the mathematical inspirations of M. C. Escher's art; Jordan Ellenberg describes compressed sensing, a mathematical field that is reshaping the way people use large sets of data; Erica Klarreich reports on the use of algorithms in the job market for doctors; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed physicist and mathematician Freeman Dyson. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.
Book Synopsis A Guide to Functional Analysis by : Steven G. Krantz
Download or read book A Guide to Functional Analysis written by Steven G. Krantz and published by American Mathematical Soc.. This book was released on 2013-12-31 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: MAA guides series numbering on title page appears as # 49. It should read # 9.
Book Synopsis Proofs that Really Count: The Art of Combinatorial Proof by : Arthur T. Benjamin
Download or read book Proofs that Really Count: The Art of Combinatorial Proof written by Arthur T. Benjamin and published by American Mathematical Soc.. This book was released on 2003-11-13 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2006! Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.
Book Synopsis Proofs That Really Count by : Arthur Benjamin
Download or read book Proofs That Really Count written by Arthur Benjamin and published by American Mathematical Soc.. This book was released on 2003-12-31 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstration of the use of simple counting arguments to describe number patterns; numerous hints and references.
Book Synopsis Linear Algebra Problem Book by : Paul R. Halmos
Download or read book Linear Algebra Problem Book written by Paul R. Halmos and published by American Mathematical Soc.. This book was released on 1995-12-31 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.