Download Calculus Gems PDF

Calculus Gems

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Publisher : MAA
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ISBN 10 : 0883855615
Pages : 355 pages
Rating : 4.5/5 (556 users)

Download or read book Calculus Gems PDF or another Format written by George F. Simmons and published by MAA. This book was released on 2007-08-02 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates the profound connections that join mathematics to the history of philosophy.


Download Calculus Gems: Brief Lives and Memorable Mathematics PDF

Calculus Gems: Brief Lives and Memorable Mathematics

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Publisher : American Mathematical Soc.
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ISBN 10 : 9781470451288
Pages : 355 pages
Rating : 4.0/5 (74 users)

Download or read book Calculus Gems: Brief Lives and Memorable Mathematics PDF or another Format written by George F. Simmons and published by American Mathematical Soc.. This book was released on 2020-03-17 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Download From Calculus to Computers PDF

From Calculus to Computers

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Publisher : Cambridge University Press
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ISBN 10 : 0883851784
Pages : 255 pages
Rating : 4.1/5 (517 users)

Download or read book From Calculus to Computers PDF or another Format written by Amy Shell-Gellasch and published by Cambridge University Press. This book was released on 2005 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: To date, much of the literature prepared on the topic of integrating mathematics history into undergraduate teaching contains, predominantly, ideas from the 18th century and earlier. This volume focuses on nineteenth- and twentieth-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. Examples of topics covered are probability in undergraduate statistics courses, logic and programming for computer science, undergraduate geometry to include non-Euclidean geometries, numerical analysis, and abstract algebra.


Download The Calculus Story PDF

The Calculus Story

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Publisher : Oxford University Press
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ISBN 10 : 9780192526724
Pages : 160 pages
Rating : 4.2/5 (925 users)

Download or read book The Calculus Story PDF or another Format written by David Acheson and published by Oxford University Press. This book was released on 2017-11-17 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is the key to much of modern science and engineering. It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn... In The Calculus Story David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. Drawing on their original writings, he introduces the people who helped to build our understanding of calculus. With a step by step treatment, he demonstrates how to start doing calculus, from the very beginning.


Download Infinite Powers PDF

Infinite Powers

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Publisher : Eamon Dolan Books
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ISBN 10 : 9781328879981
Pages : 384 pages
Rating : 4.8/5 (288 users)

Download or read book Infinite Powers PDF or another Format written by Steven Strogatz and published by Eamon Dolan Books. This book was released on 2019 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.


Download Mathematical Sorcery PDF

Mathematical Sorcery

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Publisher : Springer
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ISBN 10 : 9781489964335
Pages : 294 pages
Rating : 4.9/5 (899 users)

Download or read book Mathematical Sorcery PDF or another Format written by Calvin C. Clawson and published by Springer. This book was released on 2014-01-04 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Download Mathematical Time Capsules PDF

Mathematical Time Capsules

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Publisher : MAA
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ISBN 10 : 9780883859841
Pages : 204 pages
Rating : 4.3/5 (838 users)

Download or read book Mathematical Time Capsules PDF or another Format written by Dick Jardine and published by MAA. This book was released on 2011 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Download The Sheer Joy of Celestial Mechanics PDF

The Sheer Joy of Celestial Mechanics

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461240907
Pages : 182 pages
Rating : 4.1/5 (612 users)

Download or read book The Sheer Joy of Celestial Mechanics PDF or another Format written by Nathaniel Grossman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Download Lebesgue Measure and Integration PDF

Lebesgue Measure and Integration

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Publisher : John Wiley & Sons
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ISBN 10 : 0471179787
Pages : 312 pages
Rating : 4.9/5 (797 users)

Download or read book Lebesgue Measure and Integration PDF or another Format written by Frank Burk and published by John Wiley & Sons. This book was released on 1997-11-03 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: A superb text on the fundamentals of Lebesgue measure and integration. This book is designed to give the reader a solid understanding of Lebesgue measure and integration. It focuses on only the most fundamental concepts, namely Lebesgue measure for R and Lebesgue integration for extended real-valued functions on R. Starting with a thorough presentation of the preliminary concepts of undergraduate analysis, this book covers all the important topics, including measure theory, measurable functions, and integration. It offers an abundance of support materials, including helpful illustrations, examples, and problems. To further enhance the learning experience, the author provides a historical context that traces the struggle to define "area" and "area under a curve" that led eventually to Lebesgue measure and integration. Lebesgue Measure and Integration is the ideal text for an advanced undergraduate analysis course or for a first-year graduate course in mathematics, statistics, probability, and other applied areas. It will also serve well as a supplement to courses in advanced measure theory and integration and as an invaluable reference long after course work has been completed.


Download Mathematical Methods PDF

Mathematical Methods

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Publisher : Springer Science & Business Media
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ISBN 10 : 9780387095035
Pages : 832 pages
Rating : 4.7/5 (87 users)

Download or read book Mathematical Methods PDF or another Format written by Sadri Hassani and published by Springer Science & Business Media. This book was released on 2008-10-27 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts help guide the student through the material. Beginning with reviews of vector algebra and differential and integral calculus, the book continues with infinite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Dirac delta function provide an introduction to modern topics in mathematical physics. This new edition has been made more user-friendly through organization into convenient, shorter chapters. Also, it includes an entirely new section on Probability and plenty of new material on tensors and integral transforms.


Download Phi, Pi, e and i PDF

Phi, Pi, e and i

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Publisher : American Mathematical Soc.
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ISBN 10 : 9781470447991
Pages : 176 pages
Rating : 4.0/5 (74 users)

Download or read book Phi, Pi, e and i PDF or another Format written by David Perkins and published by American Mathematical Soc.. This book was released on 2018-10-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Certain constants occupy precise balancing points in the cosmos of number, like habitable planets sprinkled throughout our galaxy at just the right distances from their suns. This book introduces and connects four of these constants (φ,Π,e, and i), each of which has recently been the individual subject of historical and mathematical expositions. But here we discuss their properties, as a group, at a level appropriate for an audience armed only with the tools of elementary calculus. This material offers an excellent excuse to display the power of calculus to reveal elegant truths that are not often seen in college classes. These truths are described here via the work of such luminaries as Nilakantha, Liu Hui, Hemachandra, Khayyam, Newton, Wallis, and Euler.


Download In the Dark on the Sunny Side PDF

In the Dark on the Sunny Side

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Publisher : MAA
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ISBN 10 : 9780883855812
Pages : 206 pages
Rating : 4.3/5 (838 users)

Download or read book In the Dark on the Sunny Side PDF or another Format written by Lawrence W. Baggett and published by MAA. This book was released on 2012-12-06 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Misfortune struck one June day in 1944, when a five-year-old boy was forever blinded following an accident he suffered with a paring knife. Few people become internationally recognized research mathematicians and famously successful university professors of that erudite subject, and not surprisingly a minuscule number of those few are visually impaired. In the Dark on the Sunny Side tells the story of one such individual. Larry Baggett was main-streamed in school long before main-streaming was at all common. On almost every occasion he was the first blind person involved in whatever was going on ? the first blind student enrolled in the Orlando Public School System, the first blind student admitted to Davidson College, and the first blind doctoral student in mathematics at the University of Washington.Besides describing the various successes and failures Baggett experienced living in the dark on the sunny side, he displays in this volume his love of math and music by interspersing short musings on both topics, such as discussing how to figure out how many dominoes are in a set, the intricacies of jazz chord progressions, and the mysterious Comma of Pythagoras."


Download Algebra & Geometry PDF

Algebra & Geometry

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Publisher : CRC Press
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ISBN 10 : 9781000402506
Pages : 424 pages
Rating : 4.0/5 (4 users)

Download or read book Algebra & Geometry PDF or another Format written by Mark V. Lawson and published by CRC Press. This book was released on 2021-06-23 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra & Geometry: An Introduction to University Mathematics, Second Edition provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical origins throughout the text. He incorporates a hands-on approach to proofs and connects algebra and geometry to various applications. The text focuses on linear equations, polynomial equations, and quadratic forms. The first few chapters cover foundational topics, including the importance of proofs and a discussion of the properties commonly encountered when studying algebra. The remaining chapters form the mathematical core of the book. These chapters explain the solutions of different kinds of algebraic equations, the nature of the solutions, and the interplay between geometry and algebra. New to the second edition Several updated chapters, plus an all-new chapter discussing the construction of the real numbers by means of approximations by rational numbers Includes fifteen short ‘essays’ that are accessible to undergraduate readers, but which direct interested students to more advanced developments of the material Expanded references Contains chapter exercises with solutions provided online at www.routledge.com/9780367563035


Download Building a Popular Science Library Collection for High School to Adult Learners PDF

Building a Popular Science Library Collection for High School to Adult Learners

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Publisher : Greenwood Publishing Group
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ISBN 10 : 0313289360
Pages : 329 pages
Rating : 4.9/5 (893 users)

Download or read book Building a Popular Science Library Collection for High School to Adult Learners PDF or another Format written by Gregg Sapp and published by Greenwood Publishing Group. This book was released on 1995 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses science literacy, recommends reference resources, and presents annotated bibliographies for nine subject areas featuring print and nonprint titles


Download Excursions in the History of Mathematics PDF

Excursions in the History of Mathematics

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Publisher : Springer Science & Business Media
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ISBN 10 : 9780817682682
Pages : 347 pages
Rating : 4.7/5 (176 users)

Download or read book Excursions in the History of Mathematics PDF or another Format written by Israel Kleiner and published by Springer Science & Business Media. This book was released on 2012-02-02 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses.


Download Encyclopedia of Mathematics Education PDF

Encyclopedia of Mathematics Education

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Publisher : Routledge
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ISBN 10 : 9781136787232
Pages : 912 pages
Rating : 4.6/5 (367 users)

Download or read book Encyclopedia of Mathematics Education PDF or another Format written by Louise Grinstein and published by Routledge. This book was released on 2001-03-15 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.


Download Sophie's Diary: A Mathematical Novel PDF

Sophie's Diary: A Mathematical Novel

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Publisher : MAA
Release Date :
ISBN 10 : 9780883855775
Pages : 292 pages
Rating : 4.3/5 (838 users)

Download or read book Sophie's Diary: A Mathematical Novel PDF or another Format written by Dora Musielak and published by MAA. This book was released on 2012-05-24 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sophie Germain, the first and only woman in history to make a substantial contribution to the proof of Fermat's Last Theorem, grew up during the most turbulent years of the French Revolution. Her mathematical genius was discovered by Lagrange around 1797. Published research about Germain focuses on her achievements, noting that she assumed a man's name at the École Polytechnique in Paris, to submit her own work to Lagrange. Yet, no biography has explained how Germain learned mathematics before that time to become so sure of her analytical skills to carry out such a daring act. Sophie's Diary is an attempt to answer this question: How did Germain learn enough mathematics to enter the world of Lagrange's analysis in the first place? In Sophie's Diary, Germain comes to life through a fictionalized journal that intertwines mathematics with history of mathematics plus historically-accurate accounts of the brutal events that took place in Paris between 1789 and 1793. This format provides a plausible perspective of how a young Sophie could have learned mathematics on her own—both fascinated by numbers and eager to master tough subjects without a tutor's guidance. Her passion for mathematics is integrated into her personal life as an escape from societal outrage. Sophie's Diary is suitable for a variety of readers?both students and teachers, mathematicians and novices?who will be inspired and enlightened on a field of study made easy as is told through the intellectual and personal struggles of an exceptional young woman.