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

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition PDF Author: William P. Berlinghoff
Publisher: American Mathematical Soc.
ISBN: 1939512123
Category : Education
Languages : en
Pages : 349

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Book Description
`Math through the Ages' is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its audience. Its overview of the subject captures most of what one needs to know, and the 30 sketches are small gems of exposition that stimulate further exploration. --Glen van Brummelen, Quest University, President (2012-14) of the Canadian Society for History and Philosophy of Mathematics Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind $pi$? ... 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.

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

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition PDF Author: William P. Berlinghoff
Publisher: American Mathematical Soc.
ISBN: 1939512123
Category : Education
Languages : en
Pages : 349

Get Book Here

Book Description
`Math through the Ages' is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its audience. Its overview of the subject captures most of what one needs to know, and the 30 sketches are small gems of exposition that stimulate further exploration. --Glen van Brummelen, Quest University, President (2012-14) of the Canadian Society for History and Philosophy of Mathematics Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind $pi$? ... 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.

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

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition PDF Author: William P. Berlinghoff
Publisher: American Mathematical Soc.
ISBN: 147046456X
Category : Education
Languages : en
Pages : 331

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Book Description
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.

Math Through the Ages

Math Through the Ages PDF Author: William P. Berlinghoff
Publisher:
ISBN: 9781470458263
Category : Mathematics
Languages : en
Pages : 331

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Book Description
"What's new in this edition? We have added new content and also tried to make improvements to the existing material. There are five new historical sketches, on: The tangent function and how it made its way into trigonometry. Logarithms, both decimal and natural. Conic sections: ellipses, parabolas, and hyperbolas. Irrational numbers. The derivative. As always, each of these come with Questions and Projects that try to address both the mathematics and the history, challenging students to go deeper into the topic. We also worked through the whole book to improve, correct, and update. Research on the history of mathematics continues, and we have learned new things over the last ten years. Historians make mistakes, especially when they are quoting other historians, and we have tried to correct all the ones that we knew about. Many new books have been published over the last dozen years, so the bibliography has been completely updated and the notes on "what to read next" reflect the latest resources. The questions and projects have been examined and, when it seemed appropriate, revised. The Instructor's Guide was thoroughly revised as well"--

Math Through the Ages

Math Through the Ages PDF Author: William P. Berlinghoff
Publisher:
ISBN: 9780012943236
Category : Mathematics
Languages : en
Pages : 280

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Book Description


Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition

Elementary Mathematical Models: An Accessible Development without Calculus, Second Edition PDF Author: Dan Kalman
Publisher: American Mathematical Soc.
ISBN: 1470450011
Category : Mathematical analysis
Languages : en
Pages : 509

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Book Description
Elementary Mathematical Models offers instructors an alternative to standard college algebra, quantitative literacy, and liberal arts mathematics courses. Presuming only a background of exposure to high school algebra, the text introduces students to the methodology of mathematical modeling, which plays a role in nearly all real applications of mathematics. A course based on this text would have as its primary goal preparing students to be competent consumers of mathematical modeling in their future studies. Such a course would also provide students with an understanding of the modeling process and a facility with much of the standard, non-trigonometric, content of college algebra and precalculus. This book builds, successively, a series of growth models defined in terms of simple recursive patterns of change corresponding to arithmetic, quadratic, geometric, and logistic growth. Students discover and come to understand linear, polynomial, exponential, and logarithmic functions in the context of analyzing these models of intrinsically—and scientifically—interesting phenomena including polar ice extent, antibiotic resistance, and viral internet videos. Students gain a deep appreciation for the power and limitations of mathematical modeling in the physical, life, and social sciences as questions of modeling methodology are carefully and constantly addressed. Realistic examples are used consistently throughout the text, and every topic is illustrated with models that are constructed from and compared to real data. The text is extremely attractive and the exposition is extraordinarily clear. The lead author of this text is the recipient of nine MAA awards for expository writing including the Ford, Evans, Pólya, and Allendoerfer awards and the Beckenbach Book prize. Great care has been taken by accomplished expositors to make the book readable by students. Those students will also benefit from more than 1,000 carefully crafted exercises.

N equals 1

N equals 1 PDF Author: Gerhard Mayer
Publisher: LIT Verlag Münster
ISBN: 3643911238
Category :
Languages : en
Pages :

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Book Description
Single case studies have a long tradition in the field of parapsychology and anomalistics research. Naturally, thorough case studies do not usually provide hard evidence for the existence of paranormal effects. However, they demonstrate the dynamics of occurrence of such extraordinary phenomena and experiences in the living world. This volume is intended to give an overview of the methodological peculiarities of anomalistic field research. On the basis of historical and current case studies, certain specific psychosocial dynamics and problems in this interesting and challenging field of research are presented and discussed.

Journey Through Genius

Journey Through Genius PDF Author: William Dunham
Publisher: Penguin Books
ISBN:
Category : Biography & Autobiography
Languages : en
Pages : 324

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Book Description
Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov

Companion to the Red Army 1939-1945

Companion to the Red Army 1939-1945 PDF Author: Steven J. Zaloga
Publisher: The History Press
ISBN: 0750951419
Category : History
Languages : en
Pages : 180

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Book Description
Stalin’s Red Army entered World War II as a relatively untried fighting force. In 1941, with the launch of Operation Barbarossa, it joined battle with Hitler’s army, the most powerful in history. After a desperate war of attrition over four years, the Red Army beat the Nazis into defeat on the Eastern Front and won lasting fame and glory in 1945 by eclipsing the military might of the Third Reich. This book begins with a review of the historical background of the Red Army in the years leading up to the outbreak of war in 1939, and follows with a discussion of the major themes in the development of Soviet forces during the "Great Patriotic War" that ensued in 1941. The Red Army’s organizational structures are examined, from high command down to divisional level and below; Soviet combat arms and weaponry are also described in detail.

Children's Literature in Translation

Children's Literature in Translation PDF Author: Jan Van Coillie
Publisher: Routledge
ISBN: 131764039X
Category : Language Arts & Disciplines
Languages : en
Pages : 201

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Book Description
Children's classics from Alice in Wonderland to the works of Astrid Lindgren, Roald Dahl, J.K. Rowling and Philip Pullman are now generally recognized as literary achievements that from a translator's point of view are no less demanding than 'serious' (adult) literature. This volume attempts to explore the various challenges posed by the translation of children's literature and at the same time highlight some of the strategies that translators can and do follow when facing these challenges. A variety of translation theories and concepts are put to critical use, including Even-Zohar's polysystem theory, Toury's concept of norms, Venuti's views on foreignizing and domesticating translations and on the translator's (in)visibility, and Chesterman's prototypical approach. Topics include the ethics of translating for children, the importance of child(hood) images, the 'revelation' of the translator in prefaces, the role of translated children's books in the establishment of literary canons, the status of translations in the former East Germany; questions of taboo and censorship in the translation of adolescent novels, the collision of norms in different translations of a Swedish children's classic, the handling of 'cultural intertextuality' in the Spanish translations of contemporary British fantasy books, strategies for translating cultural markers such as juvenile expressions, functional shifts caused by different translation strategies dealing with character names, and complex translation strategies used in dealing with the dual audience in Hans Christian Andersen's fairy tales and in Salman Rushdie's Haroun and the Sea of Stories.

Mathematical Time Capsules

Mathematical Time Capsules PDF Author: Dick Jardine
Publisher: MAA
ISBN: 088385984X
Category : Computer science
Languages : en
Pages : 305

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Book Description
Mathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Readers will find articles and activities from mathematics history that enhance the learning of topics covered in the undergraduate or secondary mathematics curricula. Each capsule presents at least one topic or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide teachers with historical background and classroom activities designed for immediate use in the classroom, along with further references and resources on the chapter subject. --Publisher description.