Reactionary Mathematics

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Reactionary Mathematics

Author : Massimo Mazzotti
Publisher : University of Chicago Press
ISBN 13 : 0226826732
Total Pages : 350 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis Reactionary Mathematics by : Massimo Mazzotti

Download or read book Reactionary Mathematics written by Massimo Mazzotti and published by University of Chicago Press. This book was released on 2023-05-12 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A forgotten episode of mathematical resistance reveals the rise of modern mathematics and its cornerstone, mathematical purity, as political phenomena. The nineteenth century opened with a major shift in European mathematics, and in the Kingdom of Naples, this occurred earlier than elsewhere. Between 1790 and 1830 its leading scientific institutions rejected as untrustworthy the “very modern mathematics” of French analysis and in its place consolidated, legitimated, and put to work a different mathematical culture. The Neapolitan mathematical resistance was a complete reorientation of mathematical practice. Over the unrestricted manipulation and application of algebraic algorithms, Neapolitan mathematicians called for a return to Greek-style geometry and the preeminence of pure mathematics. For all their apparent backwardness, Massimo Mazzotti explains, they were arguing for what would become crucial features of modern mathematics: its voluntary restriction through a new kind of rigor and discipline, and the complete disconnection of mathematical truth from the empirical world—in other words, its purity. The Neapolitans, Mazzotti argues, were reacting to the widespread use of mathematical analysis in social and political arguments: theirs was a reactionary mathematics that aimed to technically refute the revolutionary mathematics of the Jacobins. During the Restoration, the expert groups in the service of the modern administrative state reaffirmed the role of pure mathematics as the foundation of a newly rigorous mathematics, which was now conceived as a neutral tool for modernization. What Mazzotti’s penetrating history shows us in vivid detail is that producing mathematical knowledge was equally about producing certain forms of social, political, and economic order.

Reactionary Mathematics

Author : Massimo Mazzotti
Publisher : University of Chicago Press
ISBN 13 : 0226826740
Total Pages : 350 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis Reactionary Mathematics by : Massimo Mazzotti

Download or read book Reactionary Mathematics written by Massimo Mazzotti and published by University of Chicago Press. This book was released on 2023-05-12 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A forgotten episode of mathematical resistance reveals the rise of modern mathematics and its cornerstone, mathematical purity, as political phenomena. The nineteenth century opened with a major shift in European mathematics, and in the Kingdom of Naples, this occurred earlier than elsewhere. Between 1790 and 1830 its leading scientific institutions rejected as untrustworthy the “very modern mathematics” of French analysis and in its place consolidated, legitimated, and put to work a different mathematical culture. The Neapolitan mathematical resistance was a complete reorientation of mathematical practice. Over the unrestricted manipulation and application of algebraic algorithms, Neapolitan mathematicians called for a return to Greek-style geometry and the preeminence of pure mathematics. For all their apparent backwardness, Massimo Mazzotti explains, they were arguing for what would become crucial features of modern mathematics: its voluntary restriction through a new kind of rigor and discipline, and the complete disconnection of mathematical truth from the empirical world—in other words, its purity. The Neapolitans, Mazzotti argues, were reacting to the widespread use of mathematical analysis in social and political arguments: theirs was a reactionary mathematics that aimed to technically refute the revolutionary mathematics of the Jacobins. Reactionaries targeted the modern administrative monarchy and its technocratic ambitions, and their mathematical critique questioned the legitimacy of analysis as deployed by expert groups, such as engineers and statisticians. What Mazzotti’s penetrating history shows us in vivid detail is that producing mathematical knowledge was equally about producing certain forms of social, political, and economic order.

The Discrete Mathematical Charms of Paul Erdos

Author : Vašek Chvátal
Publisher : Cambridge University Press
ISBN 13 : 1108934919
Total Pages : 270 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis The Discrete Mathematical Charms of Paul Erdos by : Vašek Chvátal

Download or read book The Discrete Mathematical Charms of Paul Erdos written by Vašek Chvátal and published by Cambridge University Press. This book was released on 2021-08-26 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paul Erdős published more papers during his lifetime than any other mathematician, especially in discrete mathematics. He had a nose for beautiful, simply-stated problems with solutions that have far-reaching consequences across mathematics. This captivating book, written for students, provides an easy-to-understand introduction to discrete mathematics by presenting questions that intrigued Erdős, along with his brilliant ways of working toward their answers. It includes young Erdős's proof of Bertrand's postulate, the Erdős-Szekeres Happy End Theorem, De Bruijn-Erdős theorem, Erdős-Rado delta-systems, Erdős-Ko-Rado theorem, Erdős-Stone theorem, the Erdős-Rényi-Sós Friendship Theorem, Erdős-Rényi random graphs, the Chvátal-Erdős theorem on Hamilton cycles, and other results of Erdős, as well as results related to his work, such as Ramsey's theorem or Deza's theorem on weak delta-systems. Its appendix covers topics normally missing from introductory courses. Filled with personal anecdotes about Erdős, this book offers a behind-the-scenes look at interactions with the legendary collaborator.

The Moscow Pythagoreans

Author : Ilona Svetlikova
Publisher : Springer
ISBN 13 : 1137338288
Total Pages : 290 pages
Book Rating : 4.1/5 (373 download)

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Book Synopsis The Moscow Pythagoreans by : Ilona Svetlikova

Download or read book The Moscow Pythagoreans written by Ilona Svetlikova and published by Springer. This book was released on 2013-07-05 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Russia at the turn of the twentieth century, mysticism, anti-Semitism, and mathematical theory fused into a distinctive intellectual movement. Through analyses of such seemingly disparate subjects as Moscow mathematical circles and the 1913 novel Petersburg, this book illuminates a forgotten aspect of Russian cultural and intellectual history.

The DIM Hypothesis

Author : Leonard Peikoff
Publisher : Penguin
ISBN 13 : 0451466640
Total Pages : 402 pages
Book Rating : 4.4/5 (514 download)

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Book Synopsis The DIM Hypothesis by : Leonard Peikoff

Download or read book The DIM Hypothesis written by Leonard Peikoff and published by Penguin. This book was released on 2013-12-03 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: With his groundbreaking and controversial DIM hypothesis, Dr. Leonard Peikoff casts a penetrating new light on the process of human thought, and thereby on Western culture and history. In this far-reaching study, Peikoff identifies the three methods people use to integrate concrete data into a whole, as when connecting diverse experiments by a scientific theory, or separate laws into a Constitution, or single events into a story. The first method, in which data is integrated through rational means, he calls Integration. The second, which employs non-rational means, he calls Misintegration. The third is Disintegration—which is nihilism, the desire to tear things apart. In The DIM Hypothesis Peikoff demonstrates the power of these three methods in shaping the West, by using the categories to examine the culturally representative fields of literature, physics, education, and politics. His analysis illustrates how the historical trends in each field have been dominated by one of these three categories, not only today but during the whole progression of Western culture from its beginning in Ancient Greece. Extrapolating from the historical pattern he identifies, Peikoff concludes by explaining why the lights of the West are going out—and predicts the most likely future for the United States.

Translations on Sub-Saharan Africa

Author : United States. Joint Publications Research Service
Publisher :
ISBN 13 :
Total Pages : 968 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Translations on Sub-Saharan Africa by : United States. Joint Publications Research Service

Download or read book Translations on Sub-Saharan Africa written by United States. Joint Publications Research Service and published by . This book was released on 1968 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics Teacher

Author :
Publisher :
ISBN 13 :
Total Pages : 1062 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Mathematics Teacher by :

Download or read book The Mathematics Teacher written by and published by . This book was released on 1922 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt:

School Science and Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 946 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis School Science and Mathematics by :

Download or read book School Science and Mathematics written by and published by . This book was released on 1911 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perspectives in Computation

Author : Robert Geroch
Publisher : University of Chicago Press
ISBN 13 : 0226288560
Total Pages : 128 pages
Book Rating : 4.2/5 (262 download)

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Book Synopsis Perspectives in Computation by : Robert Geroch

Download or read book Perspectives in Computation written by Robert Geroch and published by University of Chicago Press. This book was released on 2009-09-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computation is the process of applying a procedure or algorithm to the solution of a mathematical problem. Mathematicians and physicists have been occupied for many decades pondering which problems can be solved by which procedures, and, for those that can be solved, how this can most efficiently be done. In recent years, quantum mechanics has augmented our understanding of the process of computation and of its limitations. Perspectives in Computation covers three broad topics: the computation process and its limitations, the search for computational efficiency, and the role of quantum mechanics in computation. The emphasis is theoretical; Robert Geroch asks what can be done, and what, in principle, are the limitations on what can be done? Geroch guides readers through these topics by combining general discussions of broader issues with precise mathematical formulations—as well as through examples of how computation works. Requiring little technical knowledge of mathematics or physics, Perspectives in Computation will serve both advanced undergraduates and graduate students in mathematics and physics, as well as other scientists working in adjacent fields.

Dynamics, Geometry, Number Theory

Author : David Fisher
Publisher : University of Chicago Press
ISBN 13 : 022680402X
Total Pages : 573 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis Dynamics, Geometry, Number Theory by : David Fisher

Download or read book Dynamics, Geometry, Number Theory written by David Fisher and published by University of Chicago Press. This book was released on 2022-02-07 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematicians David Fisher, Dmitry Kleinbock, and Gregory Soifer highlight in this edited collection the foundations and evolution of research by mathematician Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics. Margulis' ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. The broad goal of this volume is to introduce these areas, their development, their use in current research, and the connections between them. The foremost experts on the topic have written each of the chapters in this volume with a view to making them accessible by graduate students and by experts in other parts of mathematics"--

Uncountable

Author : David Nirenberg
Publisher : University of Chicago Press
ISBN 13 : 0226828360
Total Pages : 429 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis Uncountable by : David Nirenberg

Download or read book Uncountable written by David Nirenberg and published by University of Chicago Press. This book was released on 2024-05-09 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ranging from math to literature to philosophy, Uncountable explains how numbers triumphed as the basis of knowledge—and compromise our sense of humanity. Our knowledge of mathematics has structured much of what we think we know about ourselves as individuals and communities, shaping our psychologies, sociologies, and economies. In pursuit of a more predictable and more controllable cosmos, we have extended mathematical insights and methods to more and more aspects of the world. Today those powers are greater than ever, as computation is applied to virtually every aspect of human activity. Yet, in the process, are we losing sight of the human? When we apply mathematics so broadly, what do we gain and what do we lose, and at what risk to humanity? These are the questions that David and Ricardo L. Nirenberg ask in Uncountable, a provocative account of how numerical relations became the cornerstone of human claims to knowledge, truth, and certainty. There is a limit to these number-based claims, they argue, which they set out to explore. The Nirenbergs, father and son, bring together their backgrounds in math, history, literature, religion, and philosophy, interweaving scientific experiments with readings of poems, setting crises in mathematics alongside world wars, and putting medieval Muslim and Buddhist philosophers in conversation with Einstein, Schrödinger, and other giants of modern physics. The result is a powerful lesson in what counts as knowledge and its deepest implications for how we live our lives.

Time

Author : Briton Hadden
Publisher :
ISBN 13 :
Total Pages : 904 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Time by : Briton Hadden

Download or read book Time written by Briton Hadden and published by . This book was released on 1924 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reels for 1973- include Time index, 1973-

The Broken Dice, and Other Mathematical Tales of Chance

Author : Ivar Ekeland
Publisher : University of Chicago Press
ISBN 13 : 9780226199924
Total Pages : 194 pages
Book Rating : 4.1/5 (999 download)

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Book Synopsis The Broken Dice, and Other Mathematical Tales of Chance by : Ivar Ekeland

Download or read book The Broken Dice, and Other Mathematical Tales of Chance written by Ivar Ekeland and published by University of Chicago Press. This book was released on 1996-06-15 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemplating the randomness of nature, Ekeland extends his consideration of the catastrophe theory of the universe begun in Mathematics and the Unexpected, drawing upon rich literary sources and current topics in math and physics such as chaos theory, information theory, and particle physics. Line drawings.

Men of Mathematics

Author : E.T. Bell
Publisher : Simon and Schuster
ISBN 13 : 1476784256
Total Pages : 608 pages
Book Rating : 4.4/5 (767 download)

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Book Synopsis Men of Mathematics by : E.T. Bell

Download or read book Men of Mathematics written by E.T. Bell and published by Simon and Schuster. This book was released on 2014-03-31 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: From one of the greatest minds in contemporary mathematics, Professor E.T. Bell, comes a witty, accessible, and fascinating look at the beautiful craft and enthralling history of mathematics. Men of Mathematics provides a rich account of major mathematical milestones, from the geometry of the Greeks through Newton’s calculus, and on to the laws of probability, symbolic logic, and the fourth dimension. Bell breaks down this majestic history of ideas into a series of engrossing biographies of the great mathematicians who made progress possible—and who also led intriguing, complicated, and often surprisingly entertaining lives. Never pedantic or dense, Bell writes with clarity and simplicity to distill great mathematical concepts into their most understandable forms for the curious everyday reader. Anyone with an interest in math may learn from these rich lessons, an advanced degree or extensive research is never necessary.

99 Variations on a Proof

Author : Philip Ording
Publisher : Princeton University Press
ISBN 13 : 0691218978
Total Pages : 272 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis 99 Variations on a Proof by : Philip Ording

Download or read book 99 Variations on a Proof written by Philip Ording and published by Princeton University Press. This book was released on 2021-10-19 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau’s Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.

Everyday Mathematics for Parents

Author : The University of Chicago School Mathematics Project
Publisher : University of Chicago Press
ISBN 13 : 9780226493756
Total Pages : 176 pages
Book Rating : 4.4/5 (937 download)

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Book Synopsis Everyday Mathematics for Parents by : The University of Chicago School Mathematics Project

Download or read book Everyday Mathematics for Parents written by The University of Chicago School Mathematics Project and published by University of Chicago Press. This book was released on 2017-07-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Everyday Mathematics (EM) program was developed by the University of Chicago School Mathematics Project (UCSMP) and is now used in more than 185,000 classrooms by almost three million students. Its research-based learning delivers the kinds of results that all school districts aspire to. Yet despite that tremendous success, EMoften leaves parents perplexed. Learning is accomplished not through rote memorization, but by actually engaging in real-life math tasks. The curriculum isn’t linear, but rather spirals back and forth, weaving concepts in and out of lessons that build overall understanding and long-term retention. It’s no wonder that many parents have difficulty navigating this innovative mathematical and pedagogic terrain. Now help is here. Inspired by UCSMP’s firsthand experiences with parents and teachers, Everyday Mathematics for Parents will equip parents with an understanding of EM and enable them to help their children with homework—the heart of the great parental adventure of ensuring that children become mathematically proficient. Featuring accessible explanations of the research-based philosophy and design of the program, and insights into the strengths of EM, this little book provides the big-picture information that parents need. Clear descriptions of how and why this approach is different are paired with illustrative tables that underscore the unique attributes of EM. Detailed guidance for assisting students with homework includes explanations of the key EM concepts that underlie each assignment. Resources for helping students practice math more at home also provide an understanding of the long-term utility of EM. Easy to use, yet jam-packed with knowledge and helpful tips, Everyday Mathematics for Parents will become a pocket mentor to parents and teachers new to EM who are ready to step up and help children succeed. With this book in hand, you’ll finally understand that while this may not be the way that you learned math, it’s actually much better.

The Decomposition of Figures Into Smaller Parts

Author : Vladimir Grigorʹevich Bolti︠a︡nskiĭ
Publisher : University of Chicago Press
ISBN 13 : 0226063577
Total Pages : 80 pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis The Decomposition of Figures Into Smaller Parts by : Vladimir Grigorʹevich Bolti︠a︡nskiĭ

Download or read book The Decomposition of Figures Into Smaller Parts written by Vladimir Grigorʹevich Bolti︠a︡nskiĭ and published by University of Chicago Press. This book was released on 1980 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: In contrast to the vast literature on Euclidean geometry as a whole, little has been published on the relatively recent developments in the field of combinatorial geometry. Boltyanskii and Gohberg's book investigates this area, which has undergone particularly rapid growth in the last thirty years. By restricting themselves to two dimensions, the authors make the book uniquely accessible to interested high school students while maintaining a high level of rigor. They discuss a variety of problems on figures of constant width, convex figures, coverings, and illumination. The book offers a thorough exposition of the problem of cutting figures into smaller pieces. The central theorem gives the minimum number of pieces into which a figure can be divided so that all the pieces are of smaller diameter than the original figure. This theorem, which serves as a basis for the rest of the material, is proved for both the Euclidean plane and Minkowski's plane.