Mathematical Expeditions PDF Download
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| Author | : Reinhard Laubenbacher |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 288 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461205239 |
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The stories of five mathematical journeys into new realms, pieced together from the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, others by more practical motives. In each case the outcome was a vast expansion of the known mathematical world and the realisation that still greater vistas remain to be explored. The authors tell these stories by guiding readers through the very words of the mathematicians at the heart of these events, providing an insightinto the art of approaching mathematical problems. The five chapters are completely independent, with varying levels of mathematical sophistication, and will attract students, instructors, and the intellectually curious reader. By working through some of the original sources and supplementary exercises, which discuss and solve -- or attempt to solve -- a great problem, this book helps readers discover the roots of modern problems, ideas, and concepts, even whole subjects. Students will also see the obstacles that earlier thinkers had to clear in order to make their respective contributions to five central themes in the evolution of mathematics.
| Author | : Frank J. Swetz |
| Publisher | : JHU Press |
| Total Pages | : 205 |
| Release | : 2012-07-16 |
| Genre | : Mathematics |
| ISBN | : 1421404370 |
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"A collection of over 500 culturally and historically diverse mathematical problems carefully chosen to enrich mathematics teaching from middle school through the college level."--Provided by publisher.
| Author | : Tatiana Shubin |
| Publisher | : MAA |
| Total Pages | : 328 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 0883855712 |
Download Expeditions in Mathematics Book in PDF, ePub and Kindle
This book is the second volume based on lectures for pre-college students given by prominent mathematicians in the Bay Area Mathematical Adventures (BAMA). This book reflects the flavor of the BAMA lectures and the excitement they have generated among the high school and middle school students in the Silicon Valley. The topics cover a wide range of mathematical subjects each treated by a leading proponent of the subject at levels designed to challenge and attract students whose mathematical interests are just beginning. In addition, the treatments given here will intrigue and enchant a more mature mathematician. It is hoped that the publication of these lectures will expose students outside of the San Francisco Bay Area to interesting mathematical topics and treatments outside of their normal experience in the classroom. Mathematical educators are encouraged to offer the students in their own localities similar opportunities to come into contact with exciting adventures in mathematics.
| Author | : Tatiana Shubin |
| Publisher | : |
| Total Pages | : |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 9781470458638 |
Download Expeditions in Mathematics Book in PDF, ePub and Kindle
Collection of lectures, aimed at high school students and presented by prominent mathematicians as part of the Bay Area Mathematical Adventures program.
| Author | : William P. Berlinghoff |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 331 |
| Release | : 2021-04-29 |
| Genre | : Education |
| ISBN | : 147046456X |
Download Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition Book in PDF, ePub and Kindle
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.
| Author | : Lindsay N. Childs |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 556 |
| Release | : 2000-01-14 |
| Genre | : Mathematics |
| ISBN | : 9780387989990 |
Download A Concrete Introduction to Higher Algebra Book in PDF, ePub and Kindle
An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.
| Author | : John Stillwell |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 576 |
| Release | : 2004-01-27 |
| Genre | : Mathematics |
| ISBN | : 9780387953366 |
Download Mathematics and Its History Book in PDF, ePub and Kindle
This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added as well as commentary that helps place the exercises in context.
| Author | : John Fauvel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 456 |
| Release | : 2006-04-11 |
| Genre | : Education |
| ISBN | : 0306472201 |
Download History in Mathematics Education Book in PDF, ePub and Kindle
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
| Author | : Thomas S. Shores |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 394 |
| Release | : 2007-03-12 |
| Genre | : Mathematics |
| ISBN | : 0387489479 |
Download Applied Linear Algebra and Matrix Analysis Book in PDF, ePub and Kindle
This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises.
| Author | : Mircea Pitici |
| Publisher | : Princeton University Press |
| Total Pages | : 273 |
| Release | : 2014-01-19 |
| Genre | : Mathematics |
| ISBN | : 1400847990 |
Download The Best Writing on Mathematics 2013 Book in PDF, ePub and Kindle
The year's finest writing on mathematics from around the world, with a foreword by Nobel Prize–winning physicist Roger Penrose 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.
