In Praise of Mathematics

Why bother to praise mathematics when you claim, as Alain Badiou does, that philosophy is first and foremost a metaphysics of happiness, or else it’s not worth an hour of trouble?

Author: Alain Badiou

Publisher: John Wiley & Sons

ISBN: 1509512047

Category: Philosophy

Page: 144

View: 934

Why bother to praise mathematics when you claim, as Alain Badiou does, that philosophy is first and foremost a metaphysics of happiness, or else it’s not worth an hour of trouble? What possible relationship can there be between mathematics and happiness? That is precisely the issue at stake in this dialogue, which serves as a very accessible introduction to what mathematics is and an exploration of the crucial influence it has always exerted on the greatest philosophers. Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

In Praise of Simple Physics

Whether you simply have a personal interest in physics' influence in the world or you're an engineering and science student who wants to gain more physics know-how, this book has an intriguing scenario for you.

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 0691178526

Category: Science

Page: 272

View: 411

Physics can explain many of the things that we commonly encounter. It can tell us why the night is dark, what causes the tides, and even how best to catch a baseball. With In Praise of Simple Physics, popular math and science writer Paul Nahin presents a plethora of situations that explore the science and math behind the wonders of everyday life. Roaming through a diverse range of puzzles, he illustrates how physics shows us ways to wring more energy from renewable sources, to measure the gravity in our car garages, to figure out which of three light switches in the basement controls the light bulb in the attic, and much, much more. How fast can you travel from London to Paris? How do scientists calculate the energy of an atomic bomb explosion? How do you kick a football so it stays in the air and goes a long way downfield? Nahin begins with simpler problems and progresses to more challenging questions, and his entertaining, accessible, and scientifically and mathematically informed explanations are all punctuated by his trademark humor. Readers are presumed to have some background in beginning differential and integral calculus. Whether you simply have a personal interest in physics' influence in the world or you're an engineering and science student who wants to gain more physics know-how, this book has an intriguing scenario for you. In Praise of Simple Physics proves that if we look carefully at the world around us, physics has answers for the most astonishing day-to-day occurrences.

Single Digits

"--Avner Ash, coauthor of Elliptic Tales "A survey of mathematical gems, ancient and modern, this book is certain to arouse the curiosity of anyone with even a passing interest in mathematics.

Author: Marc Chamberland

Publisher: Princeton University Press

ISBN: 0691175691

Category: Mathematics

Page: 240

View: 745

"The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really "six degrees of separation" between all pairs of people? And how can any map need only four colors to ensure that no regions of the same color touch? In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics."--Jacket.

Two Millennia of Mathematics

A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss.

Author: George M. Phillips

Publisher: Springer Science & Business Media

ISBN: 1461211808

Category: Mathematics

Page: 223

View: 122

A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.

The Best Writing on Mathematics 2017

Nahin, Paul J. In Praise of Simple Physics: The Science and Mathematics behind
Everyday Questions. Princeton, NJ: Princeton University Press, 2017.
Neuenschwander, Dwight E. Emmy Noether's Wonderful Theorem. Baltimore:
The Johns ...

Author: Mircea Pitici

Publisher: Princeton University Press

ISBN: 0691178631

Category: Mathematics

Page: 248

View: 318

The year's finest mathematics writing 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 2017 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 Evelyn Lamb describes the excitement of searching for incomprehensibly large prime numbers, Jeremy Gray speculates about who would have won math’s highest prize—the Fields Medal—in the nineteenth century, and Philip Davis looks at mathematical results and artifacts from a business and marketing viewpoint. In other essays, Noson Yanofsky explores the inherent limits of knowledge in mathematical thinking, Jo Boaler and Lang Chen reveal why finger-counting enhances children’s receptivity to mathematical ideas, and Carlo Séquin and Raymond Shiau attempt to discover how the Renaissance painter Fra Luca Pacioli managed to convincingly depict his famous rhombicuboctahedron, a twenty-six-sided Archimedean solid. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings 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.

Scalar Vector and Matrix Mathematics

Gaz., Vol. 84, pp. 304–306, 2000. (Cited on p. 244.) J. A. Scott, “In Praise of the
Catalan Constant,” Math. Gaz., Vol. 86, pp. 102–103, 2002. (Cited on p. 1170.)
J. A. Scott, “Yet another look at n!/".” Math. Gaz., Vol. 87, p. 311, 2003. (Cited on p.

Author: Dennis S. Bernstein

Publisher: Princeton University Press

ISBN: 0691176531

Category: Mathematics

Page: 1600

View: 284

The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject. Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. Fully updated and expanded with new material on scalar and vector mathematics Covers the latest results in matrix theory Provides a list of symbols and a summary of conventions for easy and precise use Includes an extensive bibliography with back-referencing plus an author index

Rough Draft Math

“Understanding Students' Experiences as Listeners During Mathematical
Discussion.” Canadian Journal of Science, Mathematics, and Technology
Education 11 (3): 261–272. Honoré, C. 2004. In Praise of Slowness: Challenging
the Cult of ...

Author: Amanda Jansen

Publisher:

ISBN: 1625312067

Category: Classroom environment

Page: 224

View: 698

"Most upper-elementary, middle, and secondary students talk to perform right answers in math class, meaning most older students hardly talk at all in math class and don't learn much math because we talk to learn. In Rough Draft Math, Amanda Jansen shares the power of infusing math class with the spirit of revision. She shares the work she and teacher-collaborators have done to teach students how to share their rough ideas, knowing they can change them later"--

The Bizarre Notes and Queries in History Folk lore Mathematics Mysticism Art Science Etc

II, p. 20, in article "' Value of Pi (t), ninth line, and on p. 21, first, fifteenth, and
twenty-fifth lines, for " 751 decimals," read 651 decimals. Advertisement*
jieftoroioiricai can Annals of Mathematics ! Shorthand II riU ( 124 ) Qulncy'a
comparison, 169 ...

Author:

Publisher:

ISBN:

Category:

Page:

View: 210


In Praise of Oxford History and topography

Mathematics ' The neglect of mathematics for thirty or forty years has nearly
destroyed the entire studies of Latin Christendom . For he who knows not
mathematics cannot know any other sciences ; what is more , cannot discover his
own ...

Author:

Publisher:

ISBN:

Category: Oxford (England)

Page:

View: 995


Proceedings of the London Mathematical Society

London Mathematical Society ... It would be an impertinence for me to say much
either in praise of Prof . ... Invariants , and , in steady life - long work , connected it
with nearly every branch of Mathematics , enriching everything he touches , and ...

Author: London Mathematical Society

Publisher:

ISBN:

Category: Electronic journals

Page:

View: 850

"Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.

Bulletin of the American Mathematical Society

American Mathematical Society. medium , and w . Its value is found by Mr.
McAulay under one or two assumptions as to the relations of these quantities .
When « is in the plane of D , E , the first part represents the vector w turned
through 180 ...

Author: American Mathematical Society

Publisher:

ISBN:

Category: Mathematics

Page:

View: 367


Discussions on Philosophy and Literature Education and University Reform

But if Dr Whewell had studied logic , as he has studied mathematics , he would
not have confounded an antecedent ... of non - mathematical logic , when a bit of
reasoning has issued from that University , in praise of mathematical logic , not ...

Author: Sir William Hamilton

Publisher:

ISBN:

Category: Education

Page: 846

View: 285


Bulletin of the New York Mathematical Society

... alternately parallel and perpendicular to E. This result is , of course ,
immediately obtained by following Maxwell's method in that chapter . I can hardly
make substantial addition to what Prof. Tait has said in praise of the book (
Nature , Dec.

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 720


The Collected Mathematical Papers of Henry John Stephen Smith

defender of Euclid might add with truth that the gap thus created in the
elementary teaching of mathematics has never been adequately supplied . But
after all has been said that can be said in praise of Euclid , the fact remains that
the form in ...

Author: Henry John Stephen Smith

Publisher:

ISBN:

Category: Mathematics

Page:

View: 410


Mathematicians under the Nazis

one since Felix Klein has done so much for German mathematics as Wilhelm S
̈uss.” Wilhelm S ̈uss was born in Frankfurt-am-Main on March 7, 1895. His
father was a teacher, and the whole family had musical gifts, including young ...

Author: Sanford L. Segal

Publisher: Princeton University Press

ISBN: 0691164630

Category: Mathematics

Page: 568

View: 627

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.

The Mathematics Teacher

Otherwise the author's attempts are highly successful and should come in for
high praise. Mathematics: The Man-Made Universe is written in a delightful prose
style. The author winningly captures the reader's attention with a smooth flow of ...

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 127


The Texas Mathematics Teachers Bulletin

Love Mathematical , ” Gillies , Captain Robert C . , The Mathematics Teacher , Vol
. XII ( March , 1920 ) , p . 124 . " Ode in Praise of Mathematics , ” unknown , The
Mathematics Teacher , « s . Vol . XIX ( De Mathematics ; » 420 ) , p . 124 “ So Let
 ...

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 914


The Mathematics Student

A Quarterly Dedicated to the Service of Students and Teachers of Mathematics in
India ... Running round the walls were quotations from classical works in
Dravidian languages in praise of Mathematics , while on the blackboard was
written out ...

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 869


Pure Mathematics

That he succeeded is evidenced by the following passage from Brill : “ Whatever
has been said in praise of mathematics , of the strength perspicuity and rigor of its
presentation , all is especially true of this work of the great Alexandrian .

Author: Leslie Leland Locke

Publisher:

ISBN:

Category: Mathematics

Page: 324

View: 256


The Best Writing on Mathematics 2010

I found this collection overall very attractive."--Gerald L. Alexanderson, Santa Clara University "A delight to read. This is a fine volume with lots of terrific articles that are as enticing as they are varied.

Author: Mircea Pitici

Publisher: Princeton University Press

ISBN: 9780691148410

Category: Literary Collections

Page: 407

View: 246

This anthology brings together the year's finest writing on mathematics from around the world. Featuring promising new voices alongside some of the foremost names in mathematics, The Best Writing on Mathematics 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 readers will discover why Freeman Dyson thinks some mathematicians are birds while others are frogs; why Keith Devlin believes there's more to mathematics than proof; what Nick Paumgarten has to say about the timing patterns of New York City's traffic lights (and why jaywalking is the most mathematically efficient way to cross Sixty-sixth Street); what Samuel Arbesman can tell us about the epidemiology of the undead in zombie flicks; and much, much more. In addition to presenting the year's most memorable writing on mathematics, this must-have anthology also includes a foreword by esteemed mathematician William Thurston and an informative introduction by Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us--and where it's headed.