Landmark Writings In Western Mathematics 1640 1940

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Landmark Writings in Western Mathematics 1640-1940

Ivor Grattan-Guinness
Landmark Writings in Western Mathematics 1640 1940 Book PDF

Author : Ivor Grattan-Guinness
Publisher : Elsevier
Page : 1040 pages
File Size : 45,5 Mb
Release : 2005-02-11
Category : Mathematics
ISBN : 0080457444

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Landmark Writings in Western Mathematics 1640-1940 by Ivor Grattan-Guinness Pdf

This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. First book of its kind Covers the period 1640-1940 of massive development in mathematics Describes many of the main writings of mathematics Articles written by specialists in their field

Mathematics in Victorian Britain

Raymond Flood,Adrian Rice,Robin Wilson
Mathematics in Victorian Britain Book PDF

Author : Raymond Flood,Adrian Rice,Robin Wilson
Publisher : Oxford University Press
Page : 477 pages
File Size : 40,9 Mb
Release : 2011-09-29
Category : Mathematics
ISBN : 9780199601394

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Mathematics in Victorian Britain by Raymond Flood,Adrian Rice,Robin Wilson Pdf

With a foreword by Adam Hart-Davis, this book constitutes perhaps the first general survey of the mathematics of the Victorian period. It charts the institutional development of mathematics as a profession, as well as exploring the numerous innovations made during this time, many of which are still familiar today.

Classic Problems of Probability

Prakash Gorroochurn
Classic Problems of Probability Book PDF

Author : Prakash Gorroochurn
Publisher : John Wiley & Sons
Page : 341 pages
File Size : 50,7 Mb
Release : 2016-05-02
Category : Mathematics
ISBN : 9781118063255

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Classic Problems of Probability by Prakash Gorroochurn Pdf

Winner of the 2012 PROSE Award for Mathematics from The American Publishers Awards for Professional and Scholarly Excellence. "A great book, one that I will certainly add to my personal library." —Paul J. Nahin, Professor Emeritus of Electrical Engineering, University of New Hampshire Classic Problems of Probability presents a lively account of the most intriguing aspects of statistics. The book features a large collection of more than thirty classic probability problems which have been carefully selected for their interesting history, the way they have shaped the field, and their counterintuitive nature. From Cardano's 1564 Games of Chance to Jacob Bernoulli's 1713 Golden Theorem to Parrondo's 1996 Perplexing Paradox, the book clearly outlines the puzzles and problems of probability, interweaving the discussion with rich historical detail and the story of how the mathematicians involved arrived at their solutions. Each problem is given an in-depth treatment, including detailed and rigorous mathematical proofs as needed. Some of the fascinating topics discussed by the author include: Buffon's Needle problem and its ingenious treatment by Joseph Barbier, culminating into a discussion of invariance Various paradoxes raised by Joseph Bertrand Classic problems in decision theory, including Pascal's Wager, Kraitchik's Neckties, and Newcomb's problem The Bayesian paradigm and various philosophies of probability Coverage of both elementary and more complex problems, including the Chevalier de Méré problems, Fisher and the lady testing tea, the birthday problem and its various extensions, and the Borel-Kolmogorov paradox Classic Problems of Probability is an eye-opening, one-of-a-kind reference for researchers and professionals interested in the history of probability and the varied problem-solving strategies employed throughout the ages. The book also serves as an insightful supplement for courses on mathematical probability and introductory probability and statistics at the undergraduate level.

A First Course in the Calculus of Variations

Mark Kot
A First Course in the Calculus of Variations Book PDF

Author : Mark Kot
Publisher : American Mathematical Society
Page : 311 pages
File Size : 42,6 Mb
Release : 2014-10-06
Category : Mathematics
ISBN : 9781470414955

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A First Course in the Calculus of Variations by Mark Kot Pdf

This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.

A Historian Looks Back

Judith V. Grabiner
A Historian Looks Back Book PDF

Author : Judith V. Grabiner
Publisher : MAA
Page : 307 pages
File Size : 51,8 Mb
Release : 2010-10-14
Category : Mathematics
ISBN : 9780883855720

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A Historian Looks Back by Judith V. Grabiner Pdf

An inspiring collection of a historian's work on the history of mathematics.

The Best Writing on Mathematics 2010

Mircea Pitici
The Best Writing on Mathematics 2010 Book PDF

Author : Mircea Pitici
Publisher : Princeton University Press
Page : 435 pages
File Size : 51,7 Mb
Release : 2021-09-14
Category : Mathematics
ISBN : 9781400836123

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The Best Writing on Mathematics 2010 by Mircea Pitici Pdf

The year’s most memorable writing on mathematics 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.

New Perspectives on Mathematical Practices

Bart van Kerkhove
New Perspectives on Mathematical Practices Book PDF

Author : Bart van Kerkhove
Publisher : World Scientific
Page : 248 pages
File Size : 53,5 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812812223

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New Perspectives on Mathematical Practices by Bart van Kerkhove Pdf

This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck and Dirk Schlimm; and young, promising researchers at the beginning of their careers. The book is situated within a relatively new and broadly naturalistic tradition in the philosophy of mathematics. In this alternative philosophical current, which has been dramatically growing in importance in the last few decades, unlike in the traditional schools, proper attention is paid to scientific practices as informing for philosophical accounts.

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

William P. Berlinghoff,Fernando Q. Gouvêa
Math through the Ages A Gentle History for Teachers and Others Expanded Second Edition Book PDF

Author : William P. Berlinghoff,Fernando Q. Gouvêa
Publisher : American Mathematical Soc.
Page : 331 pages
File Size : 49,6 Mb
Release : 2021-04-29
Category : Education
ISBN : 9781470464561

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Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition by William P. Berlinghoff,Fernando Q. Gouvêa Pdf

Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.

The New Era in American Mathematics, 1920–1950

Karen Hunger Parshall
The New Era in American Mathematics 1920 1950 Book PDF

Author : Karen Hunger Parshall
Publisher : Princeton University Press
Page : 640 pages
File Size : 48,7 Mb
Release : 2022-02-22
Category : History
ISBN : 9780691235240

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The New Era in American Mathematics, 1920–1950 by Karen Hunger Parshall Pdf

"The 1920s witnessed the birth of a serious mathematical research community in America. Prior to this, mathematical research was dominated by scholars based in Europe-but World War I had made the importance of scientific and technological development clear to the American research community, resulting in the establishment of new scientific initiatives and infrastructure. Physics and chemistry were the beneficiaries of this renewed scientific focus, but the mathematical community also benefitted, and over time, began to flourish. Over the course of the next two decades, despite significant obstacles, this constellation of mathematical researchers, programs, and government infrastructure would become one of the strongest in the world. In this meticulously-researched book, Karen Parshall documents the uncertain, but ultimately successful, rise of American mathematics during this time. Drawing on research carried out in archives around the country and around the world, as well as on the secondary literature, she reveals how geopolitical circumstances shifted the course of international mathematics. She provides surveys of the mathematical research landscape in the 1920s, 30s, and 40s, introduces the key players and institutions in mathematics at that time, and documents the effect of the Great Depression and the second world war on the international mathematical community. The result is a comprehensive account of the shift of mathematics' "center of gravity" to the American stage"--

The Best Writing on Mathematics 2013

Mircea Pitici
The Best Writing on Mathematics 2013 Book PDF

Author : Mircea Pitici
Publisher : Princeton University Press
Page : 272 pages
File Size : 40,9 Mb
Release : 2014-01-19
Category : Mathematics
ISBN : 9780691160412

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The Best Writing on Mathematics 2013 by Mircea Pitici Pdf

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.

The Best Writing on Mathematics 2016

Mircea Pitici
The Best Writing on Mathematics 2016 Book PDF

Author : Mircea Pitici
Publisher : Princeton University Press
Page : 401 pages
File Size : 43,6 Mb
Release : 2017-03-07
Category : Mathematics
ISBN : 9780691175294

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The Best Writing on Mathematics 2016 by Mircea Pitici Pdf

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 2016 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 Burkard Polster shows how to invent your own variants of the Spot It! card game, Steven Strogatz presents young Albert Einstein's proof of the Pythagorean Theorem, Joseph Dauben and Marjorie Senechal find a treasure trove of math in New York's Metropolitan Museum of Art, and Andrew Gelman explains why much scientific research based on statistical testing is spurious. In other essays, Brian Greene discusses the evolving assumptions of the physicists who developed the mathematical underpinnings of string theory, Jorge Almeida examines the misperceptions of people who attempt to predict lottery results, and Ian Stewart offers advice to authors who aspire to write successful math books for general readers. 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.

The History of Mathematics

Roger L. Cooke
The History of Mathematics Book PDF

Author : Roger L. Cooke
Publisher : John Wiley & Sons
Page : 593 pages
File Size : 53,7 Mb
Release : 2012-11-08
Category : Mathematics
ISBN : 9781118460290

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The History of Mathematics by Roger L. Cooke Pdf

Praise for the Second Edition "An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential." —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.

Mathematics Unbound

Karen Hunger Parshall,Adrian Clifford Rice
Mathematics Unbound Book PDF

Author : Karen Hunger Parshall,Adrian Clifford Rice
Publisher : American Mathematical Soc.
Page : 432 pages
File Size : 44,7 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 0821896733

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Mathematics Unbound by Karen Hunger Parshall,Adrian Clifford Rice Pdf

Although today's mathematical research community takes its international character very much for granted, this ''global nature'' is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom thegoal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians andmathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only developments within component national mathematical communities, such as the growth of societies and journals, but also more wide-ranging political, philosophical, linguistic, and pedagogical issues. The resulting volume is essential reading for anyone interestedin the history of modern mathematics. It will be of interest to mathematicians, historians of mathematics, and historians of science in general.

Mathematics and Mechanics - The Interplay

Luigi Morino
Mathematics and Mechanics The Interplay Book PDF

Author : Luigi Morino
Publisher : Springer Nature
Page : 1019 pages
File Size : 45,9 Mb
Release : 2021-06-19
Category : Technology & Engineering
ISBN : 9783662632079

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Mathematics and Mechanics - The Interplay by Luigi Morino Pdf

Mathematics plays an important role in mechanics and other human endeavours. Validating examples in this first volume include, for instance: the connection between the golden ratio (the “divine proportion" used by Phidias and many other artists and enshrined in Leonardo's Vitruvian Man, shown on the front cover), and the Fibonacci spiral (observable in botany, e.g., in the placement of sunflower seeds); is the coast of Tuscany infinitely long?; the equal-time free fall of a feather and a lead ball in a vacuum; a simple diagnostic for changing your car's shocks; the Kepler laws of the planets; the dynamics of the Sun-Earth-Moon system; the tides' mechanism; the laws of friction and a wheel rolling down a partially icy slope; and many more. The style is colloquial. The emphasis is on intuition - lengthy but intuitive proofs are preferred to simple non-intuitive ones. The mathematical/mechanical sophistication gradually increases, making the volume widely accessible. Intuition is not at the expense of rigor. Except for grammar-school material, every statement that is later used is rigorously proven. Guidelines that facilitate the reading of the book are presented. The interplay between mathematics and mechanics is presented within a historical context, to show that often mechanics stimulated mathematical developments - Newton comes to mind. Sometimes mathematics was introduced independently of its mechanics applications, such as the absolute calculus for Einstein's general theory of relativity. Bio-sketches of all the scientists encountered are included and show that many of them dealt with both mathematics and mechanics.

Giuseppe Peano between Mathematics and Logic

Fulvia Skof
Giuseppe Peano between Mathematics and Logic Book PDF

Author : Fulvia Skof
Publisher : Springer Science & Business Media
Page : 198 pages
File Size : 55,7 Mb
Release : 2011-04-30
Category : Mathematics
ISBN : 9788847018365

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Giuseppe Peano between Mathematics and Logic by Fulvia Skof Pdf

This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, a great attempt to systematise Mathematics in symbolic form.