The Calculus Story

The Calculus Story

Author: David Acheson

Publisher: Oxford University Press

ISBN: 9780198804543

Category: MATHEMATICS

Page: 192

View: 367

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Calculus 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 this book, David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day.

The Calculus Story

The Calculus Story

Author: David Acheson

Publisher: Oxford University Press

ISBN: 9780192526717

Category: Mathematics

Page: 160

View: 413

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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.

Infinite Powers

Infinite Powers

Author: Steven H. Strogatz

Publisher:

ISBN: 1786492970

Category: Mathematics

Page: 384

View: 456

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A magisterial history of calculus (and the people behind it) from one of the world's foremost mathematicians.

The Calculus Wars

The Calculus Wars

Author: Jason Socrates Bardi

Publisher: Hachette UK

ISBN: 9780786733644

Category: Science

Page: 304

View: 808

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Now regarded as the bane of many college students' existence, calculus was one of the most important mathematical innovations of the seventeenth century. But a dispute over its discovery sewed the seeds of discontent between two of the greatest scientific giants of all time -- Sir Isaac Newton and Gottfried Wilhelm Leibniz. Today Newton and Leibniz are generally considered the twin independent inventors of calculus, and they are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret. This long and bitter dispute has been swept under the carpet by historians -- perhaps because it reveals Newton and Leibniz in their worst light -- but The Calculus Wars tells the full story in narrative form for the first time. This vibrant and gripping scientific potboiler ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad and, in the end, completely human.

A Tour of the Calculus

A Tour of the Calculus

Author: David Berlinski

Publisher: Vintage

ISBN: 9780307789730

Category: Mathematics

Page: 352

View: 469

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Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

Calculus Simplified

Calculus Simplified

Author: Oscar Fernandez

Publisher: Princeton University Press

ISBN: 9780691189413

Category: Mathematics

Page: 272

View: 244

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An accessible, streamlined, and user-friendly approach to calculus Calculus is a beautiful subject that most of us learn from professors, textbooks, or supplementary texts. Each of these resources has strengths but also weaknesses. In Calculus Simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a “Goldilocks approach” to learning calculus: just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure. Fernandez begins by offering an intuitive introduction to the three key ideas in calculus—limits, derivatives, and integrals. The mathematical details of each of these pillars of calculus are then covered in subsequent chapters, which are organized into mini-lessons on topics found in a college-level calculus course. Each mini-lesson focuses first on developing the intuition behind calculus and then on conceptual and computational mastery. Nearly 200 solved examples and more than 300 exercises allow for ample opportunities to practice calculus. And additional resources—including video tutorials and interactive graphs—are available on the book’s website. Calculus Simplified also gives you the option of personalizing your calculus journey. For example, you can learn all of calculus with zero knowledge of exponential, logarithmic, and trigonometric functions—these are discussed at the end of each mini-lesson. You can also opt for a more in-depth understanding of topics—chapter appendices provide additional insights and detail. Finally, an additional appendix explores more in-depth real-world applications of calculus. Learning calculus should be an exciting voyage, not a daunting task. Calculus Simplified gives you the freedom to choose your calculus experience, and the right support to help you conquer the subject with confidence. · An accessible, intuitive introduction to first-semester calculus · Nearly 200 solved problems and more than 300 exercises (all with answers) · No prior knowledge of exponential, logarithmic, or trigonometric functions required · Additional online resources—video tutorials and supplementary exercises—provided

From the Calculus to Set Theory 1630-1910

From the Calculus to Set Theory 1630-1910

Author: I. Grattan-Guinness

Publisher: Princeton University Press

ISBN: 9780691219660

Category: Mathematics

Page: 320

View: 357

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From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Møller-Pedersen.

The Calculus Gallery

The Calculus Gallery

Author: William Dunham

Publisher: Princeton University Press

ISBN: 9780691184548

Category: Mathematics

Page: 256

View: 970

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More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.

Vector Calculus Through Stories

Vector Calculus Through Stories

Author: Dr. R. Prabakaran

Publisher: Pustaka Digital Media

ISBN: PKEY:6580541407412

Category: Education

Page: 40

View: 392

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Learning math through story is an interesting phenomenon. That too learning higher mathematics as story is similar to adding honey to a fruit bowl. A student never sleeps deliberately in the class. If at all he sleeps, I strongly believe that the teacher is also one of the reasons for that. Some innovative methods to overcome this difficulty are Storytelling, Open Classroom Learning, Students Learning as a group. From the day I joined as a math teacher in engineering college, the only question that is asked by students till date is “What is the use of this math?” Generally a maths graduate teaches math. An engineering graduate teaches engineering. But an unanswered question till date is who is the right person to teach engineering maths in an engineering college. Unable to get the answer for this question, In the classroom while teaching the students, I was like an unwilling mother talking to her child. My inability to answer this question, made me feel soulless in my classroom. Hatred for myself started growing day by day. This question enlightened a spark in me to upgrade myself as an engineering maths teacher. The effect was emergence of math learning through story narration. Corona 19 curfew helped me a lot to have various views and thoughts about this. This curfew was very helpful in implementing this math learning through story narration and was also very successful. Both Students and teachers were at home during this period without any contact in person. First I narrated a story using the terminologies in Vector calculus to the students. Then I divided the students into groups and made them to form stories of their own. This was very successful. I did not see students.The students did not see me either. We were all separated by spaces but united by Voices. Students submitted their stories to me. The feel I had when I read those stories was like the feel a mother had when she sees her son years after birth for first time. I realized that 80 percent of the learning was done. That's the minute I started calculating my teaching profession. Here I am presenting to you the vector calculus story that was written by my students. I thank the almighty for providing this great opportunity and also my family and friends who gave their full support for my work. Kanithaachariyar Dr.R.Prabakaran Assistant Professor of Mathematics Coimbatore Institute of Technology Coimbatore- 641014 [email protected] 9789652826

The Calculus Collection

The Calculus Collection

Author: Caren L. Diefenderfer

Publisher: American Mathematical Soc.

ISBN: 9780883857618

Category: Mathematics

Page: 507

View: 650

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The Calculus Collection is a useful resource for everyone who teaches calculus, in high school or in a 2- or 4-year college or university. It consists of 123 articles, selected by a panel of six veteran high school teachers, each of which was originally published in Math Horizons, MAA Focus, The American Mathematical Monthly, The College Mathematics Journal, or Mathematics Magazine. The articles focus on engaging students who are meeting the core ideas of calculus for the first time. The Calculus Collection is filled with insights, alternate explanations of difficult ideas, and suggestions for how to take a standard problem and open it up to the rich mathematical explorations available when you encourage students to dig a little deeper. Some of the articles reflect an enthusiasm for bringing calculators and computers into the classroom, while others consciously address themes from the calculus reform movement. But most of the articles are simply interesting and timeless explorations of the mathematics encountered in a first course in calculus.

Nonstandard Methods in the Calculus of Variations

Nonstandard Methods in the Calculus of Variations

Author: Curtis Tuckey

Publisher: CRC Press

ISBN: 0582231809

Category: Mathematics

Page: 112

View: 525

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This monograph is unique in its treatment of the application of methods of nonstandard analysis to the theory of curves in the calculus of variations. It will be of particular value to researchers in the calculus of variations and optimal control theory.

The Calculus of Violence

The Calculus of Violence

Author: Aaron Sheehan-Dean

Publisher: Harvard University Press

ISBN: 9780674916319

Category: History

Page: 430

View: 346

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Discarding tidy abstractions about the conduct of war, Aaron Sheehan-Dean shows that the notoriously bloody US Civil War could have been much worse. Despite agonizing debates over Just War and careful differentiation among victims, Americans could not avoid living with the contradictions inherent in a conflict that was both violent and restrained.