Selected Works of Giuseppe Peano

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Publisher : University of Toronto Press
ISBN 13 : 9781487592240
Total Pages : 262 pages
Book Rating : 4.5/5 (922 download)

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Book Synopsis Selected Works of Giuseppe Peano by : Hubert C. Kennedy

Download or read book Selected Works of Giuseppe Peano written by Hubert C. Kennedy and published by University of Toronto Press. This book was released on 1973-12 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the decade before 1900, the Italian mathematician Giuseppe Peano was one of the most original and influential pioneers of modern mathematical logic. He made significant contributions to the development of the foundations of mathematics and the axiomatic method (for example, his postulates for the natural numbers), dimension theory (including the space-filling curve), measure theory, vector analysis, differential equations, and the rigorization of analysis. Several of Peano's works have been translated into other languages; here for the first time is a generous selection of works translated into English. Fifteen articles, one booklet, and parts of two books and one monograph, published between 1883 and 1921, chosen with the interests of mathematicians and logicians in mind, are included. Each selection is preceded by an introductory note. The volume also contains a biographical sketch, a chronological list of Peano's publications (larger by one fifth than any previously published list), and a bibliography on the life and work of Peano. This selection will appeal especially to historians of mathematics and logic, but also to those mathematicians and logicians who wish to know more about how their subject came to be.

Selected Works of Giuseppe Peano

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Publisher :
ISBN 13 : 9780041640021
Total Pages : 249 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis Selected Works of Giuseppe Peano by : Giuseppe Peano

Download or read book Selected Works of Giuseppe Peano written by Giuseppe Peano and published by . This book was released on 1973 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Peano

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Publisher :
ISBN 13 :
Total Pages : 313 pages
Book Rating : 4.:/5 (552 download)

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Book Synopsis Peano by : Hubert C. Kennedy

Download or read book Peano written by Hubert C. Kennedy and published by . This book was released on 2006 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Peano

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9400989849
Total Pages : 238 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Peano by : H. Kennedy

Download or read book Peano written by H. Kennedy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: All students of mathematics know of Peano's postulates for the natural numbers and his famous space-filling curve, yet their knowledge often stops there. Part of the reason is that there has not until now been a full-scale study of his life and works. This must surely be surprising, when one realizes the length of his academic career (over 50 years) and the extent of his publica tions (over 200) in a wide variety of fields, many of which had immediate and long-term effects on the development of modern mathematics. A study of his life seems long overdue. It appeared to me that the most likely person to write a biography of Peano would be his devoted disciple Ugo Cassina, with whom I studied at the University of Milan in 1957-58. I wrote to Professor Cassina on 29 October, 1963, inquiring if he planned to write the biography, and I offered him my assistance, since I hoped to return to Italy for a year. He replied on 28 November, 1963, suggesting that we collaborate, meaning by this that I would write the biography, in English, using his material and advice. I gladly agreed to this suggestion, but work on the project had hardly begun when Professor Cassina died unexpectedly on 5 October, 1964. I then decided to continue the project on my own. I spent the academic year 1966-67 in Turin; completion of the book took ten years.

Geometric Calculus

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Publisher : Springer Science & Business Media
ISBN 13 : 1461221323
Total Pages : 160 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Geometric Calculus by : Giuseppe Peano

Download or read book Geometric Calculus written by Giuseppe Peano and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calcolo Geometrico, G. Peano's first publication in mathematical logic, is a model of expository writing, with a significant impact on 20th century mathematics. Kannenberg's lucid and crisp translation, Geometric Calculus, will appeal to historians of mathematics, researchers, graduate students, and general readers interested in the foundations of mathematics and the development of a formal logical language. The book has never been reprinted in its entirety, and only two chapters have ever been translated into English. Readers of this valuable translation will gain insight into the work of a distinguished mathematician and founder of mathematical logic.

Handbook of International Research in Mathematics Education

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Publisher : Routledge
ISBN 13 : 1135192839
Total Pages : 830 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Handbook of International Research in Mathematics Education by : Lyn D. English

Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2010-04-02 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advances in research methodologies influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development being an important component of all these aspects. This edition also examines other catalysts that have gained increased import in recent years including a stronger focus on the teacher and teacher practice, a renewed interest in theory development, an increased focus on the mathematics needed in work place settings, and a proliferation of research designs and methodologies that have provided unprecedented opportunities for investigating (and ultimately improving) mathematical teaching and learning. This edition includes ten totally new chapters; all other chapters are thoroughly revised and updated.

The First Moderns

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Publisher : University of Chicago Press
ISBN 13 : 0226224848
Total Pages : 514 pages
Book Rating : 4.2/5 (262 download)

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Book Synopsis The First Moderns by : William R. Everdell

Download or read book The First Moderns written by William R. Everdell and published by University of Chicago Press. This book was released on 2009-02-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively and accessible history of Modernism, The First Moderns is filled with portraits of genius, and intellectual breakthroughs, that richly evoke the fin-de-siècle atmosphere of Paris, Vienna, St. Louis, and St. Petersburg. William Everdell offers readers an invigorating look at the unfolding of an age. "This exceptionally wide-ranging history is chock-a-block with anecdotes, factoids, odd juxtapositions, and useful insights. Most impressive. . . . For anyone interested in learning about late 19th- and early 20th- century imaginative thought, this engagingly written book is a good place to start."—Washington Post Book World "The First Moderns brilliantly maps the beginning of a path at whose end loom as many diasporas as there are men."—Frederic Morton, The Los Angeles Times Book Review "In this truly exciting study of the origins of modernist thought, poet and teacher Everdell roams freely across disciplinary lines. . . . A brilliant book that will prove useful to scholars and generalists for years to come; enthusiastically recommended."—Library Journal, starred review "Everdell has performed a rare service for his readers. Dispelling much of the current nonsense about 'postmodernism,' this book belongs on the very short list of profound works of cultural analysis."—Booklist "Innovative and impressive . . . [Everdell] has written a marvelous, erudite, and readable study."-Mark Bevir, Spectator "A richly eclectic history of the dawn of a new era in painting, music, literature, mathematics, physics, genetics, neuroscience, psychiatry and philosophy."—Margaret Wertheim, New Scientist "[Everdell] has himself recombined the parts of our era's intellectual history in new and startling ways, shedding light for which the reader of The First Moderns will be eternally grateful."—Hugh Kenner, The New York Times Book Review "Everdell shows how the idea of "modernity" arose before the First World War by telling the stories of heroes such as T. S. Eliot, Max Planck, and Georges Serault with such a lively eye for detail, irony, and ambiance that you feel as if you're reliving those miraculous years."—Jon Spayde, Utne Reader

Critical Rationalism, Metaphysics and Science

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Publisher : Springer Science & Business Media
ISBN 13 : 9401104719
Total Pages : 324 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Critical Rationalism, Metaphysics and Science by : I.C. Jarvie

Download or read book Critical Rationalism, Metaphysics and Science written by I.C. Jarvie and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: I suppose Joseph Agassi's best and dearest self-description, his cher ished wish, is to practice what his 1988 book promises: The Gentle Art of Philosophical Polemics. But for me, and for so many who know him, our Agassi is tough-minded, not tender, not so gentle. True to his beloved critical thinking, he is ever the falsificationist, testing himself of course as much as everyone else. How, he asks himself, can he engage others in their own self-critical exploration? Irritate? Question their logic, their facts, their presuppositions, their rationales? Subvert their reasoning, uncover their motives? Help them to lose their balance, but always help them, make them do it to, and for, themselves. Out of their own mouths, and minds, and imagination. A unique teacher, in classroom and out; not for everyone. Agassi is not quite a tight textual Talmudist disputant, not quite the competitor in the marketplace of ideas offered for persuasive sale, not quite the clever cross-examining lawyer advocate, not quite a philosopher-scientist, not a sceptic more than necessary, not quite embat tled in the bloody world but not ever above the battle either . . . but a good deal of all of these, and steeped in intelligence and good will.

Language and Mathematics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 1501500368
Total Pages : 328 pages
Book Rating : 4.5/5 (15 download)

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Book Synopsis Language and Mathematics by : Marcel Danesi

Download or read book Language and Mathematics written by Marcel Danesi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-06-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the many disciplinary and theoretical links between language, linguistics, and mathematics. It examines trends in linguistics, such as structuralism, conceptual metaphor theory, and other relevant theories, to show that language and mathematics have a similar structure, but differential functions, even though one without the other would not exist.

99 Variations on a Proof

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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.

Pythagoras' Legacy

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Publisher : Oxford University Press
ISBN 13 : 0192593773
Total Pages : 160 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Pythagoras' Legacy by : Marcel Danesi

Download or read book Pythagoras' Legacy written by Marcel Danesi and published by Oxford University Press. This book was released on 2020-02-04 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the famous Pythagorean statement reads, 'Number rules the universe', and its veracity is proven in the many mathematical discoveries that have accelerated the development of science, engineering, and even philosophy. A so called "art of the mind", mathematics has guided and stimulated many aspects of human innovation down through the centuries. In this book, Marcel Danesi presents a historical overview of the ten greatest achievements in mathematics, and dynamically explores their importance and effects on our daily lives. Considered as a chain of events rather than isolated incidents, Danesi takes us from the beginnings of modern day mathematics with Pythagoras, through the concept of zero, right the way up to modern computational algorithms. Loaded with thought-provoking practical exercises and puzzles, Pythagoras' Legacy allows the reader to apply their knowledge and discover the significance of mathematics in their everyday lives.

Semiotics and its Masters, volume 1

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 1501503820
Total Pages : 406 pages
Book Rating : 4.5/5 (15 download)

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Book Synopsis Semiotics and its Masters, volume 1 by : Kristian Bankov

Download or read book Semiotics and its Masters, volume 1 written by Kristian Bankov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-05-22 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a broad range of topics and current frontline research by leading semioticians. The contributions are representative of the most cutting-edge work in semiotics, but project as well the developments in the near future of the field.

Group Theory in the Bedroom, and Other Mathematical Diversions

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Publisher : Macmillan + ORM
ISBN 13 : 1429938579
Total Pages : 284 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Group Theory in the Bedroom, and Other Mathematical Diversions by : Brian Hayes

Download or read book Group Theory in the Bedroom, and Other Mathematical Diversions written by Brian Hayes and published by Macmillan + ORM. This book was released on 2008-04-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Award-Winning Essayist Plies His Craft Brian Hayes is one of the most accomplished essayists active today—a claim supported not only by his prolific and continuing high-quality output but also by such honors as the National Magazine Award for his commemorative Y2K essay titled "Clock of Ages," published in the November/December 1999 issue of The Sciences magazine. (The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The BestAmerican Magazine Writing, The Best American Science and NatureWriting, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces—including "Clock of Ages"—embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.

Fundamentals of Computation Theory

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Publisher : Springer
ISBN 13 : 3540446699
Total Pages : 554 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Fundamentals of Computation Theory by : Rusins Freivalds

Download or read book Fundamentals of Computation Theory written by Rusins Freivalds and published by Springer. This book was released on 2003-05-15 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Symposium Fundamentals of Computation Theory, FCT 2001, as well as of the International Workshop on Efficient Algorithms, WEA 2001, held in Riga, Latvia, in August 2001. The 28 revised full FCT papers and 15 short papers presented together with six invited contributions and 8 revised full WEA papers as well as three invited WEA contributions have been carefully reviewed and selected. Among the topics addressed are a broad variety of topics from theoretical computer science, algorithmics and programming theory. The WEA papers deal with graph and network algorithms, flow and routing problems, scheduling and approximation algorithms, etc.

Fundamentals of Computation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540424873
Total Pages : 554 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Fundamentals of Computation Theory by : R. V. Freĭvald

Download or read book Fundamentals of Computation Theory written by R. V. Freĭvald and published by Springer Science & Business Media. This book was released on 2001-08-03 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Symposium Fundamentals of Computation Theory, FCT 2001, as well as of the International Workshop on Efficient Algorithms, WEA 2001, held in Riga, Latvia, in August 2001. The 28 revised full FCT papers and 15 short papers presented together with six invited contributions and 8 revised full WEA papers as well as three invited WEA contributions have been carefully reviewed and selected. Among the topics addressed are a broad variety of topics from theoretical computer science, algorithmics and programming theory. The WEA papers deal with graph and network algorithms, flow and routing problems, scheduling and approximation algorithms, etc.

Mathematicians under the Nazis

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Publisher : Princeton University Press
ISBN 13 : 1400865387
Total Pages : 567 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematicians under the Nazis by : Sanford L. Segal

Download or read book Mathematicians under the Nazis written by Sanford L. Segal and published by Princeton University Press. This book was released on 2014-11-23 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contrary to popular belief--and despite the expulsion, emigration, or death of many German mathematicians--substantial mathematics was produced in Germany during 1933-1945. In this landmark social history of the mathematics community in Nazi Germany, Sanford Segal examines how the Nazi years affected the personal and academic lives of those German mathematicians who continued to work in Germany. The effects of the Nazi regime on the lives of mathematicians ranged from limitations on foreign contact to power struggles that rattled entire institutions, from changed work patterns to military draft, deportation, and death. Based on extensive archival research, Mathematicians under the Nazis shows how these mathematicians, variously motivated, reacted to the period's intense political pressures. It details the consequences of their actions on their colleagues and on the practice and organs of German mathematics, including its curricula, institutions, and journals. Throughout, Segal's focus is on the biographies of individuals, including mathematicians who resisted the injection of ideology into their profession, some who worked in concentration camps, and others (such as Ludwig Bieberbach) who used the "Aryanization" of their profession to further their own agendas. Some of the figures are no longer well known; others still tower over the field. All lived lives complicated by Nazi power. Presenting a wealth of previously unavailable information, this book is a large contribution to the history of mathematics--as well as a unique view of what it was like to live and work in Nazi Germany.

Deductive Systems in Traditional and Modern Logic

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Publisher : MDPI
ISBN 13 : 303943358X
Total Pages : 298 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Deductive Systems in Traditional and Modern Logic by : Alex Citkin

Download or read book Deductive Systems in Traditional and Modern Logic written by Alex Citkin and published by MDPI. This book was released on 2020-11-18 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.