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Calculus Gems

Calculus Gems
Author: George F. Simmons
Publisher: MAA
Total Pages: 386
Release: 2007-08-02
Genre: Biography & Autobiography
ISBN: 9780883855614

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Demonstrates the profound connections that join mathematics to the history of philosophy.


Calculus Gems

Calculus Gems
Author: George Finlay Simmons
Publisher: MAA Press
Total Pages: 355
Release: 2020
Genre: Calculus
ISBN: 9781470451295

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Calculus Gems, a collection of essays written about mathematicians and mathematics, is a spin-off of two appendices ('Biographical Notes' and 'Variety of Additional Topics') found in Simmons' 1985 calculus book. With many additions and some minor adjustments, the material will now be available in a separate softcover volume. The text is suitable as a supplement for a calculus course and/or a history of mathematics course, The overall aim is bound up in the question, 'What is mathematics for?' and in Simmons' answer, 'To delight the mind and help us understand the world'. The essays are independent of one another, allowing the instructor to pick and choose among them. Part A, 'Brief Lives', is a biographical history of mathematics from earliest times (Thales, 625-547 BC) through the late 19th century (Weierstrass, 1815-1897) that serves to connect mathematics to the broader intellectual and social history of Western civilization. Part B, 'Memorable Mathematics', is a collection of interesting topics from number theory, geometry, and science arranged in an order roughly corresponding to the order of most calculus courses. Some of these sections have a few problems for the student to solve. Students can gain perspective on the mathematical experience and learn some mathematics not contained in the usual courses, and instructors can assign student papers and projects based on the essays. The book teaches by example that mathematics is more than computation. Original illustrations of influential mathematicians in history and their inventions accompany the brief biographies and mathematical discussions.


Calculus Gems: Brief Lives and Memorable Mathematics

Calculus Gems: Brief Lives and Memorable Mathematics
Author: George F. Simmons
Publisher: American Mathematical Soc.
Total Pages: 355
Release: 2020-03-17
Genre: Education
ISBN: 147045128X

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Calculus Gems, a collection of essays written about mathematicians and mathematics, is a spin-off of two appendices ("Biographical Notes" and "Variety of Additional Topics") found in Simmons' 1985 calculus book. With many additions and some minor adjustments, the material will now be available in a separate softcover volume. The text is suitable as a supplement for a calculus course and/or a history of mathematics course, The overall aim is bound up in the question, "What is mathematics for?" and in Simmons' answer, "To delight the mind and help us understand the world". The essays are independent of one another, allowing the instructor to pick and choose among them. Part A, "Brief Lives", is a biographical history of mathematics from earliest times (Thales, 625–547 BC) through the late 19th century (Weierstrass, 1815–1897) that serves to connect mathematics to the broader intellectual and social history of Western civilization. Part B, "Memorable Mathematics", is a collection of interesting topics from number theory, geometry, and science arranged in an order roughly corresponding to the order of most calculus courses. Some of these sections have a few problems for the student to solve. Students can gain perspective on the mathematical experience and learn some mathematics not contained in the usual courses, and instructors can assign student papers and projects based on the essays. The book teaches by example that mathematics is more than computation. Original illustrations of influential mathematicians in history and their inventions accompany the brief biographies and mathematical discussions.


Mathematical Sorcery

Mathematical Sorcery
Author: Calvin C. Clawson
Publisher: Springer
Total Pages: 301
Release: 2014-01-04
Genre: Mathematics
ISBN: 1489964339

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Precalculus Mathematics in a Nutshell

Precalculus Mathematics in a Nutshell
Author: George Finlay Simmons
Publisher:
Total Pages: 136
Release: 1997
Genre: Algebra
ISBN:

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A book that explains the fundamentals of geometry, algebra, and trigonometry with as fewest words as the author deems it possible.


A Brief History Of Mathematics For Curious Minds

A Brief History Of Mathematics For Curious Minds
Author: Krzysztof R Apt
Publisher: World Scientific
Total Pages: 223
Release: 2023-11-17
Genre: Mathematics
ISBN: 9811280460

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This book offers a short and accessible account of the history of mathematics, written for the intelligent layman to gain a better appreciation of its beauty, relevance, and place in history. It traces the development of the subject throughout the centuries, starting with the so-called Lebombo bone, the oldest known mathematical object that was estimated to be at least 43,000 years old, and ending with the 21st century.The presentation is informal, and no prior knowledge of mathematics is needed to enjoy the systematic chronological insights. A collection of appendices is included for more technical material — though still at the level of secondary school mathematics — and is concerned with the historically important proofs and concepts that can be explained in a simple way.


Mathematical Time Capsules

Mathematical Time Capsules
Author: Dick Jardine
Publisher: MAA
Total Pages: 305
Release: 2011
Genre: Computer science
ISBN: 088385984X

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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.


Success with Mathematics

Success with Mathematics
Author: Heather Cooke
Publisher: Psychology Press
Total Pages: 191
Release: 2003
Genre: Education
ISBN: 0415298601

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This study guide has been designed to support students studying mathematics to prepare themselves for self-directed study and provides guidance and ideas to help make their learning efficient and effective.


Calculus and Its Origins

Calculus and Its Origins
Author: David Perkins
Publisher: MAA
Total Pages: 181
Release: 2012-04-12
Genre: Education
ISBN: 0883855755

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The story of how calculus came to be, accessible to anyone with a basic knowledge of geometry and algebra.


The Calculus of Friendship

The Calculus of Friendship
Author: Steven Strogatz
Publisher: Princeton University Press
Total Pages: 181
Release: 2011-03-07
Genre: Mathematics
ISBN: 1400830885

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The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus is more than a branch of mathematics; it is a game they love playing together, a constant when all else is in flux. The teacher goes from the prime of his career to retirement, competes in whitewater kayaking at the international level, and loses a son. The student matures from high school math whiz to Ivy League professor, suffers the sudden death of a parent, and blunders into a marriage destined to fail. Yet through it all they take refuge in the haven of calculus--until a day comes when calculus is no longer enough. Like calculus itself, The Calculus of Friendship is an exploration of change. It's about the transformation that takes place in a student's heart, as he and his teacher reverse roles, as they age, as they are buffeted by life itself. Written by a renowned teacher and communicator of mathematics, The Calculus of Friendship is warm, intimate, and deeply moving. The most inspiring ideas of calculus, differential equations, and chaos theory are explained through metaphors, images, and anecdotes in a way that all readers will find beautiful, and even poignant. Math enthusiasts, from high school students to professionals, will delight in the offbeat problems and lucid explanations in the letters. For anyone whose life has been changed by a mentor, The Calculus of Friendship will be an unforgettable journey.