Calculus Gems

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Calculus Gems
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Author : George F. Simmons
language : en
Publisher: MAA
Release Date : 2007-08-02
Calculus Gems written by George F. Simmons and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-02 with Biography & Autobiography categories.
The classic book - back in print! The first half of Calculus Gems is a biographical history of mathematics from the earliest times to the late nineteenth century. The author shows how science - and mathematics in particular - is something that people do, and not merely a mass of observed data and abstract theory. He demonstrates the profound connections that join mathematics to the history of philosophy and also to the broader intellectual and social history of Western civilization. The second half contains nuggets that Simmons has collected from number theory, geometry, science, etc., which he has used in his mathematics classes, meaning that it can be used as a supplement in a Calculus course, or a History of Mathematics course. The overall aim of this book is to answer the question, 'What is mathematics for?' and with its inevitable answer, 'To delight the mind and help us understand the world.'
Calculus Gems
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Author : George Finlay Simmons
language : en
Publisher: MAA Press
Release Date : 2020
Calculus Gems written by George Finlay Simmons and has been published by MAA Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Calculus categories.
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.
Euler S Gem
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Author : David S. Richeson
language : en
Publisher: Princeton University Press
Release Date : 2019-07-23
Euler S Gem written by David S. Richeson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-23 with Mathematics categories.
How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
Mathematical Sorcery
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Author : Calvin C. Clawson
language : en
Publisher: Springer
Release Date : 2014-01-04
Mathematical Sorcery written by Calvin C. Clawson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-04 with Mathematics categories.
The Sheer Joy Of Celestial Mechanics
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Author : Nathaniel Grossman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Sheer Joy Of Celestial Mechanics written by Nathaniel Grossman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Dear Reader, Here is your book. Take it, run with it, pass it, punt it, enjoy all the many things that you can do with it, but-above all-read it. Like all textbooks, it was written to help you increase your knowledge; unlike all too many textbooks that you have bought, it will be fun to read. A preface usually tells of the author's reasons for writing the book and the author's goals for the reader, followed by a swarm of other important matters that must be attended to yet fit nowhere else in the book. I am fortunate in being able to include an insightful prepublication review that goes directly to my motivations and goals. (Look for it following this preface.) That leaves only those other important matters. In preparing the text, I consulted a number of books, chief of which included these: • S. Chandrasekhar, Ellipsoidal Figures of Equilibrium, Yale Uni versity Press, 1969. • J .M.A. Danby, Fundamentals of Celestial Mechanics, Macmil lan, 1962. Now available in a 2nd edition, 3rd printing, revised, corrected and enlarged, Willmann-Bell, 1992. • Y. Hagihara, Theories of Equilibrium Figures of a Rotating Ho mogeneous Fluid Mass, NASA, 1970. • R.A. Lyttleton, The Stability of Rotating Liquid Masses, C- ix x PREFACE bridge University Press, 1953. • C.B. Officer, Introduction to Theoretical Geophysics, Springer Verlag, 1974. • A.S. Ramsey, Newtonian Attraction, Cambridge University Press, 1949. • W.M. Smart, Celestial Mechanics, Longmans, Green, and Co, 1953.
Groundbreaking Scientific Experiments Inventions And Discoveries Of The 18th Century
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Author : Jonathan Shectman
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2003-09-30
Groundbreaking Scientific Experiments Inventions And Discoveries Of The 18th Century written by Jonathan Shectman and has been published by Bloomsbury Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-30 with Science categories.
The 18th century saw the emergence of the industrial and chemical revolutions and witnessed the near-universal acceptance of applied science. It was a time of revolutionary, lasting transformation for the practice of science and mathematics. Most procedures and precepts of modern science took hold during the 18th century, when scientists first paired scientific research with practical application to astonishing results. In over 60 alphabetical entries, Shectman examines at the tremendous scientific discoveries, inventions, and inquiries of the period. Familiar topics such as the steam engine and hot air balloon are covered, along with lesser-known topics such as the Watt copy press and Newton's experimentum crucis. A thorough discussion of each entry's scientific impact provides readers with an understanding of the lasting social and political importance of these advancements. Narratives enrich the entries by adding context and perspective to the century's fascinating scientific history. Students and researchers will find this reference book easy to use. Included are an appendix of entries listed by scientific field, a glossary of terms, indexes by name and subject.
Mathematical Time Capsules
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Author : Dick Jardine
language : en
Publisher: MAA
Release Date : 2011
Mathematical Time Capsules written by Dick Jardine and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computer science categories.
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.
A Brief History Of Mathematics For Curious Minds
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Author : Krzysztof R Apt
language : en
Publisher: World Scientific
Release Date : 2023-11-17
A Brief History Of Mathematics For Curious Minds written by Krzysztof R Apt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-17 with Mathematics categories.
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.
Success With Mathematics
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Author : Heather Cooke
language : en
Publisher: Psychology Press
Release Date : 2003
Success With Mathematics written by Heather Cooke and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Education categories.
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.
Introduction To Mathematical Physics
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Author : Chun Wa Wong
language : en
Publisher: Oxford University Press, USA
Release Date : 2013-01-24
Introduction To Mathematical Physics written by Chun Wa Wong and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-24 with Science categories.
Introduction to Mathematical Physics explains why and how mathematics is needed in describing physical events in space. It helps physics undergraduates master the mathematical tools needed in physics core courses. It contains advanced topics for graduate students, short tutorials on basic mathematics, and an appendix on Mathematica.