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Unity And Disunity And Other Mathematical Essays
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Book Synopsis Unity and Disunity and Other Mathematical Essays by : Philip J. Davis
Download or read book Unity and Disunity and Other Mathematical Essays written by Philip J. Davis and published by American Mathematical Soc.. This book was released on 2015 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a mathematical potpourri. Its material originated in classroom presentations, formal lectures, sections of earlier books, book reviews, or just things written by the author for his own pleasure. Written in a nontechnical fashion, this book expresses the unique vision and attitude of the author towards the role of mathematics in society. It contains observations or incidental remarks on mathematics, its nature, its impacts on education and science and technology, its personalities and philosophies. The book is directed towards the math buffs of the world and, more generally, towards the literate and interested public. Philip Davis is known for his work in numerical analysis and approximation theory, as well as his investigations in the history and philosophy of mathematics. Currently a Professor Emeritus from the Division of Applied Mathematics at Brown University, Davis is known for his books both in the areas of computational mathematics and approximation theory and for books exploring certain questions in the philosophy of mathematics and the role of mathematics in society.
Book Synopsis The Mathematical Legacy of Richard P. Stanley by : Patricia Hersh
Download or read book The Mathematical Legacy of Richard P. Stanley written by Patricia Hersh and published by American Mathematical Soc.. This book was released on 2016-12-08 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Stanley's work in combinatorics revolutionized and reshaped the subject. His lectures, papers, and books inspired a generation of researchers. In this volume, these researchers explain how Stanley's vision and insights influenced and guided their own perspectives on the subject. As a valuable bonus, this book contains a collection of Stanley's short comments on each of his papers. This book may serve as an introduction to several different threads of ongoing research in combinatorics as well as giving historical perspective.
Book Synopsis A Dingo Ate My Math Book by : Burkard Polster
Download or read book A Dingo Ate My Math Book written by Burkard Polster and published by American Mathematical Soc.. This book was released on 2017-12-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Dingo Ate My Math Book presents ingenious, unusual, and beautiful nuggets of mathematics with a distinctly Australian flavor. It focuses, for example, on Australians' love of sports and gambling, and on Melbourne's iconic, mathematically inspired architecture. Written in a playful and humorous style, the book offers mathematical entertainment as well as a glimpse of Australian culture for the mathematically curious of all ages. This collection of engaging stories was extracted from the Maths Masters column that ran from 2007 to 2014 in Australia's Age newspaper. The maths masters in question are Burkard Polster and Marty Ross, two (immigrant) Aussie mathematicians, who each week would write about math in the news, providing a new look at old favorites, mathematical history, quirks of school mathematics—whatever took their fancy. All articles were written for a very general audience, with the intention of being as inviting as possible and assuming a minimum of mathematical background.
Book Synopsis Modeling and Data Analysis: An Introduction with Environmental Applications by : John B. Little
Download or read book Modeling and Data Analysis: An Introduction with Environmental Applications written by John B. Little and published by American Mathematical Soc.. This book was released on 2019-03-28 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can we coexist with the other life forms that have evolved on this planet? Are there realistic alternatives to fossil fuels that would sustainably provide for human society's energy needs and have fewer harmful effects? How do we deal with threats such as emergent diseases? Mathematical models—equations of various sorts capturing relationships between variables involved in a complex situation—are fundamental for understanding the potential consequences of choices we make. Extracting insights from the vast amounts of data we are able to collect requires analysis methods and statistical reasoning. This book on elementary topics in mathematical modeling and data analysis is intended for an undergraduate “liberal arts mathematics”-type course but with a specific focus on environmental applications. It is suitable for introductory courses with no prerequisites beyond high school mathematics. A great variety of exercises extends the discussions of the main text to new situations and/or introduces new real-world examples. Every chapter ends with a section of problems, as well as with an extended chapter project which often involves substantial computing work either in spreadsheet software or in the R statistical package.
Book Synopsis Divisors and Sandpiles by : Scott Corry
Download or read book Divisors and Sandpiles written by Scott Corry and published by American Mathematical Soc.. This book was released on 2018-07-23 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Divisors and Sandpiles provides an introduction to the combinatorial theory of chip-firing on finite graphs. Part 1 motivates the study of the discrete Laplacian by introducing the dollar game. The resulting theory of divisors on graphs runs in close parallel to the geometric theory of divisors on Riemann surfaces, and Part 1 culminates in a full exposition of the graph-theoretic Riemann-Roch theorem due to M. Baker and S. Norine. The text leverages the reader's understanding of the discrete story to provide a brief overview of the classical theory of Riemann surfaces. Part 2 focuses on sandpiles, which are toy models of physical systems with dynamics controlled by the discrete Laplacian of the underlying graph. The text provides a careful introduction to the sandpile group and the abelian sandpile model, leading ultimately to L. Levine's threshold density theorem for the fixed-energy sandpile Markov chain. In a precise sense, the theory of sandpiles is dual to the theory of divisors, and there are many beautiful connections between the first two parts of the book. Part 3 addresses various topics connecting the theory of chip-firing to other areas of mathematics, including the matrix-tree theorem, harmonic morphisms, parking functions, M-matrices, matroids, the Tutte polynomial, and simplicial homology. The text is suitable for advanced undergraduates and beginning graduate students.
Book Synopsis The Best Writing on Mathematics 2013 by : Mircea Pitici
Download or read book The Best Writing on Mathematics 2013 written by Mircea Pitici and published by Princeton University Press. This book was released on 2014-01-19 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year's finest writing on mathematics from around the world This annual 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 2013 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 Philip Davis offers a panoramic view of mathematics in contemporary society; Terence Tao discusses aspects of universal mathematical laws in complex systems; Ian Stewart explains how in mathematics everything arises out of nothing; Erin Maloney and Sian Beilock consider the mathematical anxiety experienced by many students and suggest effective remedies; Elie Ayache argues that exchange prices reached in open market transactions transcend the common notion of probability; 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 mathematical physicist Roger Penrose and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.
Book Synopsis Unity and Disunity in Evolutionary Biology by : Richard G. Delisle
Download or read book Unity and Disunity in Evolutionary Biology written by Richard G. Delisle and published by Springer Nature. This book was released on with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics Across Cultures by : Helaine Selin
Download or read book Mathematics Across Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.
Download or read book Mind and Nature written by Hermann Weyl and published by Princeton University Press. This book was released on 2009-03-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hermann Weyl (1885-1955) was one of the twentieth century's most important mathematicians, as well as a seminal figure in the development of quantum physics and general relativity. He was also an eloquent writer with a lifelong interest in the philosophical implications of the startling new scientific developments with which he was so involved. Mind and Nature is a collection of Weyl's most important general writings on philosophy, mathematics, and physics, including pieces that have never before been published in any language or translated into English, or that have long been out of print. Complete with Peter Pesic's introduction, notes, and bibliography, these writings reveal an unjustly neglected dimension of a complex and fascinating thinker. In addition, the book includes more than twenty photographs of Weyl and his family and colleagues, many of which are previously unpublished. Included here are Weyl's exposition of his important synthesis of electromagnetism and gravitation, which Einstein at first hailed as "a first-class stroke of genius"; two little-known letters by Weyl and Einstein from 1922 that give their contrasting views on the philosophical implications of modern physics; and an essay on time that contains Weyl's argument that the past is never completed and the present is not a point. Also included are two book-length series of lectures, The Open World (1932) and Mind and Nature (1934), each a masterly exposition of Weyl's views on a range of topics from modern physics and mathematics. Finally, four retrospective essays from Weyl's last decade give his final thoughts on the interrelations among mathematics, philosophy, and physics, intertwined with reflections on the course of his rich life.
Book Synopsis The Nature of Truth, second edition by : Michael P. Lynch
Download or read book The Nature of Truth, second edition written by Michael P. Lynch and published by MIT Press. This book was released on 2021-03-16 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive and essential collection of classic and new essays on analytic theories of truth, revised and updated, with seventeen new chapters. The question "What is truth?" is so philosophical that it can seem rhetorical. Yet truth matters, especially in a "post-truth" society in which lies are tolerated and facts are ignored. If we want to understand why truth matters, we first need to understand what it is. The Nature of Truth offers the definitive collection of classic and contemporary essays on analytic theories of truth. This second edition has been extensively revised and updated, incorporating both historically central readings on truth's nature as well as up-to-the-moment contemporary essays. Seventeen new chapters reflect the current trajectory of research on truth.
Book Synopsis Interest in Mathematics and Science Learning by : K. Ann Renninger
Download or read book Interest in Mathematics and Science Learning written by K. Ann Renninger and published by . This book was released on 2015-03-15 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation Interest in Mathematics and Science Learning, edited by K. Ann Renninger, Martin Nieswandt, and Suzanne Hidi, is the first volume to assemble findings on the role of interest in mathematics and science learning. As the contributors illuminate across the volume's 22 chapters, interest provides a critical bridge between cognition and affect in learning and development. This volume will be useful to educators, researchers, and policy makers, especially those whose focus is mathematics, science, and technology education.
Download or read book Epistemic Friction written by Gila Sher and published by Oxford University Press. This book was released on 2016 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gila Sher offers an original view of knowledge from the perspective of our basic human epistemic situation, as limited yet resourceful beings, trying to understand the world in all its complexity. She develops an integrated theory of knowledge, truth, and logic, centred on the idea of epistemic friction: knowledge must be constrained by the world.
Book Synopsis The Jevons Paradox and the Myth of Resource Efficiency Improvements by :
Download or read book The Jevons Paradox and the Myth of Resource Efficiency Improvements written by and published by Routledge. This book was released on with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Myth of Resource Efficiency by : John M. Polimeni
Download or read book The Myth of Resource Efficiency written by John M. Polimeni and published by Routledge. This book was released on 2015-12-08 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The Jevons Paradox', which was first expressed in 1865 by William Stanley Jevons in relation to use of coal, states that an increase in efficiency in using a resource leads to increased use of that resource rather than to a reduction. This has subsequently been proved to apply not just to fossil fuels, but other resource use scenarios. For example, doubling the efficiency of food production per hectare over the last 50 years (due to the Green Revolution) did not solve the problem of hunger. The increase in efficiency increased production and worsened hunger because of the resulting increase in population. The implications of this in today's world are substantial. Many scientists and policymakers argue that future technological innovations will reduce consumption of resources; the Jevons Paradox explains why this may be a false hope. This is the first book to provide a historical overview of the Jevons Paradox, provide evidence for its existence and apply it to complex systems. Written and edited by world experts in the fields of economics, ecological economics, technology and the environment, it explains the myth of efficiency and explores its implications for resource usage (particularly oil). It is a must-read for policymakers, natural resource managers, academics and students concerned with the effects of efficiency on resource use.
Book Synopsis Unity and Disunity in Ezra-Nehemiah by : Mark J. Boda
Download or read book Unity and Disunity in Ezra-Nehemiah written by Mark J. Boda and published by Sheffield Phoenix Press Limited. This book was released on 2008 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until the late 1960s the scholarly consensus was that Chronicles-Ezra-Nehemiah was a single, unified literary work. Then arguments began to be mounted for treating Chronicles as a distinct composition, and the majority of scholars were swayed by these arguments, though others retained the older consensus view. In recent years, some scholars have begun to suggest that Ezra and Nehemiah are distinct literary entities. This new debate is the occasion for the present volume. Here scholars from around the globe (Canada, Finland, Germany, Guatemala, Israel, Korea, the Netherlands, United Kingdom, United States) showcase current scholarly explanations for the final shape of this literary complex known as Ezra-Nehemiah. Fourteen scholars present their approach to the unity or disunity of this literature employing research methodologies that range from the diachronic to the synchronic. Critical responses to this emerging research are provided by three reviewers (Joseph Blenkinsopp, Tamara Eskenazi and Hugh Williamson) whose work laid the foundation in earlier decades for much of the discussion today. The result is a rich conversation which provides an enlightening resource for the study of these biblical books in particular as well as for reflection on the impact of one's interpretive framework on the study of ancient literature in general.
Book Synopsis Pursuing the Unity of Science by : Harmke Kamminga
Download or read book Pursuing the Unity of Science written by Harmke Kamminga and published by Routledge. This book was released on 2016-05-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: From 1918 to the late 1940s, a host of influential scientists and intellectuals in Europe and North America were engaged in a number of far-reaching unity of science projects. In this period of deep social and political divisions, scientists collaborated to unify sciences across disciplinary boundaries and to set up the international scientific community as a model for global political co-operation. They strove to align scientific and social objectives through rational planning and to promote unified science as the driving force of human civilization and progress. This volume explores the unity of science movement, providing a synthetic view of its pursuits and placing it in its historical context as a scientific and political force. Through a coherent set of original case studies looking at the significance of various projects and strategies of unification, the book highlights the great variety of manifestations of this endeavour. These range from unifying nuclear physics to the evolutionary synthesis, and from the democratization of scientific planning to the utopianism of H.G. Wells's world state. At the same time, the collection brings out the substantive links between these different pursuits, especially in the form of interconnected networks of unification and the alignment of objectives among them. Notably, it shows that opposition to fascism, using the instrument of unified science, became the most urgent common goal in the 1930s and 1940s. In addressing these issues, the book makes visible important historical developments, showing how scientists participated in, and actively helped to create, an interwar ideology of unification, and bringing to light the cultural and political significance of this enterprise.
Download or read book Syracuse Scholar written by and published by . This book was released on 1982 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
