# From Calculus to Computers

## Dick Jardine and Amy Shell-Gellasch, Editors

Using the history of mathematics enhances the teaching and learning of mathematics. To date, much of the literature prepared on the topic of integrating mathematics history in undergraduate teaching contains, predominantly, ideas from the 18th century and earlier. This volume focuses on 19th and 20th century mathematics, building on the earlier efforts but emphasizing recent history in the teaching of mathematics, computer science, and related disciplines.

From Calculus to Computers is a resource for undergraduate teachers that provides ideas and materials for immediate adoption in the classroom and proven examples to motivate innovation by the reader. Contributions to this volume are from historians of mathematics and college mathematics instructors with years of experience and expertise in these subjects. Among the topics included are:

• projects with significant historical content successfully used in a numerical analysis course
• a discussion of the role of probability in undergraduate statistics courses
• integration of the history of mathematics in undergraduate geometry instruction, to include non-Euclidean geometries
• the evolution of mathematics education and teacher preparation over the past two centuries,
• the use of a seminal paper by Cayley to motivate student learning in an abstract algebra course
• the integration of the history of logic and programming into computer science courses
• ideas on how to implement history into any class and how to develop history of mathematics courses.

Electronic ISBN: 9781614443032

Contents
Preface
Introduction
 PDF Price POD Price From Calculus to Computers $26.50 Price per Chapter Price per Chapter Chapter 1: Arthur Cayley and the First Paper on Group Theory by David J. Pengelley$7.00 $8.50 Chapter 2: Putting the Differential Back Into Differential Calculus by Robert Rogers$7.00 $8.50 Chapter 3: Using Galois' Ideas in the Teaching of Abstract Algebra by Matt D. Lunsford$7.00 $8.50 Chapter 4: Teaching Elliptic Curves Using Original Sources by Lawrence D'Antonio$7.00 $8.50 Chapter 5: Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling by Holly P. Hirst$7.00 $8.50 Chapter 6: How to Use History to Clarify Common Confusions in Geometry by Daina Taimina and David W. Henderson$7.00 $8.50 Chapter 7: Euler on Cevians by Eisso J. Atzema and Homer White$7.00 $8.50 Chapter 8: Modern Geometry after the End of Mathematics by Jeff Johannes$7.00 $8.50 Chapter 9: Using 20th Century History in a Combinatorics and Graph Theory Class by Linda E. McGuire$7.00 $8.50 Chapter 10: Public Key Cryptography by Shai Simonson$7.00 $8.50 Chapter 11: Introducing Logic via Turing Machines by Jerry M. Lodder$7.00 $8.50 Chapter 12: From Hilbert's Program to Computer Programming by William Calhoun$7.00 $8.50 Chapter 13: From the Tree Method in Modern Logic to the Beginning of Automated Theorem Proving by Francine F. Abeles$7.00 $8.50 Chapter 14: Numerical Methods History Projects by Dick Jardine$7.00 $8.50 Chapter 15: Foundations of Statistics in American Textbooks: Probability and Pedagogy in Historical Context by Patti Wilger Hunter$7.00 $8.50 Chapter 16: Incorporating the Mathematical Achievements of Women and Minority Mathematicians into Classrooms by Sarah J. Greenwald$7.00 $8.50 Chapter 17: Mathematical Topics in an Undergraduate History of Science Course by David Lindsay Roberts$7.00 $8.50 Chapter 18: Building a History of Mathematics Course from a Local Perspective by Amy Shell-Gellasch$7.00 $8.50 Chapter 19: Protractors in the Classroom: An Historical Perspective by Amy Ackerberg-Hastings$7.00 $8.50 Chapter 20: The Metric System Enters the American Classroom: 1790–1890 by Peggy Aldrich Kidwell$7.00 $8.50 Chapter 21: Some Wrinkles for a History of Mathematics Course by Peter Ross$7.00 $8.50 Chapter 22: Teaching History of Mathematics Through Problems by John R. Prather$7.00 \$8.50

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