David Acheson
— 2017
in MATHEMATICS

Author : David Acheson

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"[Acheson] introduces the fundamental ideas of calculus through the story of how the subject developed, from approximating π to imaginary numbers, and from Newton's falling apple to the vibrations of an electric guitar."--Back cover

David Acheson
— 2017-11-04
in Mathematics

Author : David Acheson

File Size : 55.34 MB

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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.

Steven H. Strogatz
— 2020-02
in Mathematics

Author : Steven H. Strogatz

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

Bruce van Brunt
— 2006-04-18
in Mathematics

Author : Bruce van Brunt

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Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether’s theorem. The text includes numerous examples along with problems to help students consolidate the material.

Jason Socrates Bardi
— 2009-04-29
in Science

Author : Jason Socrates Bardi

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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.

David Berlinski
— 2011-04-27
in Mathematics

Author : David Berlinski

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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

Oscar Fernandez
— 2019-06-11
in Mathematics

Author : Oscar Fernandez

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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

Dr. R. Prabakaran
— 2021-08-13
in Education

Author : Dr. R. Prabakaran

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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

I. Grattan-Guinness
— 2020-10-06
in Mathematics

Author : I. Grattan-Guinness

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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.

William Dunham
— 2018-11-13
in Mathematics

Author : William Dunham

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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.