Sherlock Holmes In Babylon And Other Tales Of Mathematical History

Author : Marlow Anderson,Victor Katz,Robin Wilson
Publisher : American Mathematical Society
Page : 399 pages
File Size : 52,7 Mb
Release : 2022-04-26
Category : Mathematics
ISBN : 9781470470036

Get Book

Sherlock Holmes in Babylon and Other Tales of Mathematical History by Marlow Anderson,Victor Katz,Robin Wilson Pdf

Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.

Author : Amy Shell-Gellasch,John Thoo
Publisher : JHU Press
Page : 553 pages
File Size : 45,9 Mb
Release : 2015-10-15
Category : Mathematics
ISBN : 9781421417295

Get Book

Algebra in Context by Amy Shell-Gellasch,John Thoo Pdf

An engaging new approach to teaching algebra that takes students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping. The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century. By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including • Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations

Author : William C. Bauldry
Publisher : John Wiley & Sons
Page : 280 pages
File Size : 52,8 Mb
Release : 2011-09-09
Category : Mathematics
ISBN : 9781118164433

Get Book

Introduction to Real Analysis by William C. Bauldry Pdf

An accessible introduction to real analysis and its connectionto elementary calculus Bridging the gap between the development and history of realanalysis, Introduction to Real Analysis: An EducationalApproach presents a comprehensive introduction to real analysiswhile also offering a survey of the field. With its balance ofhistorical background, key calculus methods, and hands-onapplications, this book provides readers with a solid foundationand fundamental understanding of real analysis. The book begins with an outline of basic calculus, including aclose examination of problems illustrating links and potentialdifficulties. Next, a fluid introduction to real analysis ispresented, guiding readers through the basic topology of realnumbers, limits, integration, and a series of functions in naturalprogression. The book moves on to analysis with more rigorousinvestigations, and the topology of the line is presented alongwith a discussion of limits and continuity that includes unusualexamples in order to direct readers' thinking beyond intuitivereasoning and on to more complex understanding. The dichotomy ofpointwise and uniform convergence is then addressed and is followedby differentiation and integration. Riemann-Stieltjes integrals andthe Lebesgue measure are also introduced to broaden the presentedperspective. The book concludes with a collection of advancedtopics that are connected to elementary calculus, such as modelingwith logistic functions, numerical quadrature, Fourier series, andspecial functions. Detailed appendices outline key definitions and theorems inelementary calculus and also present additional proofs, projects,and sets in real analysis. Each chapter references historicalsources on real analysis while also providing proof-orientedexercises and examples that facilitate the development ofcomputational skills. In addition, an extensive bibliographyprovides additional resources on the topic. Introduction to Real Analysis: An Educational Approach isan ideal book for upper- undergraduate and graduate-level realanalysis courses in the areas of mathematics and education. It isalso a valuable reference for educators in the field of appliedmathematics.

Author : Jeff Suzuki
Publisher : MAA
Page : 432 pages
File Size : 40,7 Mb
Release : 2009-08-27
Category : Mathematics
ISBN : 0883855704

Get Book

Mathematics in Historical Context by Jeff Suzuki Pdf

An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?

Author : Carl B. Boyer,Uta C. Merzbach
Publisher : John Wiley & Sons
Page : 695 pages
File Size : 49,5 Mb
Release : 2011-01-11
Category : Mathematics
ISBN : 9780470525487

Get Book

A History of Mathematics by Carl B. Boyer,Uta C. Merzbach Pdf

The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

Author : Martin Erickson
Publisher : MAA
Page : 193 pages
File Size : 47,5 Mb
Release : 2011-12-22
Category : Mathematics
ISBN : 9780883855768

Get Book

Beautiful Mathematics by Martin Erickson Pdf

Mathematical ideas with aesthetic appeal for any mathematically minded person.

Author : Edward J. Barbeau,Murray S. Klamkin,William O. J. Moser
Publisher : American Mathematical Soc.
Page : 227 pages
File Size : 44,7 Mb
Release : 1995-12-31
Category : Mathematics
ISBN : 9781614445074

Get Book

Five Hundred Mathematical Challenges by Edward J. Barbeau,Murray S. Klamkin,William O. J. Moser Pdf

This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical tool chest summarizes the results and techniques needed by competition-level students.

Author : Raymond Flood,Robin Wilson
Publisher : Arcturus Publishing
Page : 292 pages
File Size : 40,8 Mb
Release : 2012-06-01
Category : History
ISBN : 9781848589483

Get Book

The Great Mathematicians by Raymond Flood,Robin Wilson Pdf

Why did Florence Nightingale introduce pie charts? How did Lewis Carroll regard Pythagoras? Who learned calculus from her nursery wallpaper? Spanning from the ancient world to the modern age, The Great Mathematicians tells fascinating and unusual tales of the men and women who transformed mathematics. We meet the mathematician who knew eight languages by the time he was 11, the one who was sent to jail for gambling and the one who published a lot yet never existed. As well as providing rich bibliographic detail, Professors Raymond Flood and Robin Wilson explain various theorems using concise and accessible language. These include the Pythagorean theorem, Gödel's Incompleteness theorem, Fermat's Last Theorem and many more. Flood and Wilson are both former presidents of the British Society for the History of Mathematics and are uniquely qualified to lay out this incredible tale. This entertaining and rigorously accurate book presents mathematics with a human face, celebrating the achievements of the greatest mathematicians across history.

Author : Amy Dahan-Dalmedico,Jeanne Pieffer
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 54,5 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457464

Get Book

History of Mathematics: Highways and Byways by Amy Dahan-Dalmedico,Jeanne Pieffer Pdf

Author : Dora Musielak
Publisher : American Mathematical Society
Page : 293 pages
File Size : 47,7 Mb
Release : 2022-08-11
Category : Mathematics
ISBN : 9781470471569

Get Book

Sophie’s Diary by Dora Musielak Pdf

Sophie Germain overcame gender stigmas and a lack of formal education to prove that for all prime exponents less than 100 Case I of Fermat's Last Theorem holds. Hidden behind a man's name, her brilliance as mathematician was first discovered by three of the greatest scholars of the eighteenth century, Lagrange, Gauss, and Legendre. In Sophie's Diary, Germain comes to life through a fictionalized journal that intertwines mathematics with historical descriptions of the brutal events that took place in Paris between 1789 and 1793. This format provides a plausible perspective of how a young Sophie could have learned mathematics on her own—both fascinated by numbers and eager to master tough subjects without a teacher's guidance. Her passion for mathematics is integrated into her personal life as an escape from societal outrage. Sophie's Diary is suitable for a variety of readers—both young and old, mathematicians and novices—who will be inspired and enlightened on a field of study made easy, as told through the intellectual and personal struggles of an exceptional young woman.

Author : Marlow Anderson,Victor Katz,Robin Wilson
Publisher : MAA
Page : 448 pages
File Size : 48,9 Mb
Release : 2009-03-31
Category : Mathematics
ISBN : 0883855690

Get Book

Who Gave You the Epsilon? by Marlow Anderson,Victor Katz,Robin Wilson Pdf

This book picks up the history of mathematics from where Sherlock Holmes in Babylon left it. The 40 articles of Who Gave You the Epsilon? continue the story of the development of mathematics into the nineteenth and twentieth centuries. The articles have all been published in the Mathematical Association of America journals and are in many cases written by distinguished mathematicians such as G. H. Hardy and B. van der Waerden. The articles are arranged thematically to show the development of analysis, geometry, algebra and number theory through this period of time. Each chapter is preceded by a foreword, giving the historical background and setting and the scene, and is followed by an afterword, reporting on advances in our historical knowledge and understanding since the articles first appeared. This book is ideal for anyone wanting to explore the history of mathematics.

Author : Maria Zack,Elaine Landry
Publisher : Birkhäuser
Page : 248 pages
File Size : 41,9 Mb
Release : 2016-12-15
Category : Mathematics
ISBN : 9783319466156

Get Book

Research in History and Philosophy of Mathematics by Maria Zack,Elaine Landry Pdf

This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as New evidence that the Latin translation of Euclid’s Elements was based on the Arabic version attributed to al-Ḥajjāj Work done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equations An original play featuring a dialogue between George Boole and Augustus De Morgan that explores the relationship between them Key issues in the digital preservation of mathematical material for future generations A look at the first twenty-five years of The American Mathematical Monthly in the context of the evolving American mathematical community The growth of Math Circles and the unique ways they are being implemented in the United States Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.

Author : Peter Borwein,Peter Liljedahl,Helen Zhai
Publisher : American Mathematical Soc.
Page : 199 pages
File Size : 43,8 Mb
Release : 2018-09-06
Category : Mathematics
ISBN : 9781470448745

Get Book

Mathematicians on Creativity by Peter Borwein,Peter Liljedahl,Helen Zhai Pdf

This book aims to shine a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-caliber working mathematicians. In their own words, they discuss the art and practice of their work. This approach highlights creative components of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Mathematicians on Creativity is meant for a general audience and is probably best read by browsing.

Author : Laurence W. Mazzeno
Publisher : Boydell & Brewer
Page : 319 pages
File Size : 47,5 Mb
Release : 2023
Category : Electronic
ISBN : 9781640140936

Get Book

The Critical Reception of Sir Arthur Conan Doyle by Laurence W. Mazzeno Pdf

Examines both academic and popular assessments of Conan Doyle's work, giving pride of place to the Holmes stories and their adaptations, and also attending to the wide range of his published work. Twenty-first-century readers, television viewers, and moviegoers know Arthur Conan Doyle as the creator of Sherlock Holmes, the world's most recognizable fictional detective. Holmes's enduring popularity has kept Conan Doyle in the public eye. However, Holmes has taken on a life of his own, generating a steady stream of critical commentary, while Conan Doyle's other works are slighted or ignored. Yet the Holmes stories make up only a small portion of Conan Doyle's published work, which includes mainstream and historical fiction; history; drama; medical, spiritualist, and political tracts; and even essays on photography. When Doyle published - whatever the subject - his contemporaries took note. Yet, outside of the fiction featuring Sherlock Holmes, until recently relatively little has been done to analyze the reception Conan Doyle's work received during his lifetime and since his death. This book examines both academic and popular assessments of Conan Doyle's work, giving pride of place to the Holmes stories and their many adaptations for print, visual, and online media, but attending to his other contributions to turn-of-the-twentieth-century culture as well. The availability of periodicals and newspapers online makes it possible to develop an assessment of Conan Doyle's (and Sherlock Holmes's) reputation among a wider readership and viewership, thus allowing for development of a broader and more accurate portrait of Doyle's place in literary and cultural history.

Author : Steven G. Krantz
Publisher : MAA
Page : 157 pages
File Size : 48,9 Mb
Release : 2012-03
Category : Education
ISBN : 9780883855782

Get Book

A Mathematician Comes of Age by Steven G. Krantz Pdf

This book describes and analyses how a mathematics student can develop into a sophisticated and rigorous thinker.