Calculus Set Free: Infinitesimals to the Rescue, Volume 3 PDF Download
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Author: C. Dawson
Publisher:
ISBN:
Category :
Languages : en
Pages : 200
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Book Description
This calculus-level textbook (in multiple volumes) uses infinitesimal methods developed by the author and debuted in articles in The American Mathematical Monthly (Feb. 2018) and The College Mathematics Journal (Nov. 2019). The book is in the classroom testing stage in first-semester calculus and most of second-semester calculus. Features of the textbook include a student-friendly narrative that helps the student think through the development of concepts; a larger font and less-cramped style than popular calculus texts; reading exercises in the narrative; margin notes giving explanations, tips, cautions against common errors, and other notes of interest; hundreds of examples with complete solutions, some of which include details of the thinking process; thousands of exercises of various levels of difficulty, including rapid response exercises meant for in-classroom use; answers to odd-numbered exercises that sometimes include hints, brief explanations of common incorrect answers, alternate forms of answers, or both simplified and unsimplified answers; a review section on avoiding common errors; and an extensive index. These features make the book suitable for individual study as well as classroom use. Since the book is in a preliminary edition, readers are invited to give the author feedback at
[email protected].
Author: C. Dawson
Publisher:
ISBN:
Category :
Languages : en
Pages : 200
Get Book Here
Book Description
This calculus-level textbook (in multiple volumes) uses infinitesimal methods developed by the author and debuted in articles in The American Mathematical Monthly (Feb. 2018) and The College Mathematics Journal (Nov. 2019). The book is in the classroom testing stage in first-semester calculus and most of second-semester calculus. Features of the textbook include a student-friendly narrative that helps the student think through the development of concepts; a larger font and less-cramped style than popular calculus texts; reading exercises in the narrative; margin notes giving explanations, tips, cautions against common errors, and other notes of interest; hundreds of examples with complete solutions, some of which include details of the thinking process; thousands of exercises of various levels of difficulty, including rapid response exercises meant for in-classroom use; answers to odd-numbered exercises that sometimes include hints, brief explanations of common incorrect answers, alternate forms of answers, or both simplified and unsimplified answers; a review section on avoiding common errors; and an extensive index. These features make the book suitable for individual study as well as classroom use. Since the book is in a preliminary edition, readers are invited to give the author feedback at
[email protected].
Author: C Bryan Dawson
Publisher:
ISBN: 9781703359053
Category :
Languages : en
Pages : 106
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Book Description
This calculus-level textbook (in multiple volumes) uses infinitesimal methods developed by the author and debuted in articles in The American Mathematical Monthly (Feb. 2018) and The College Mathematics Journal (to appear). The book is in the classroom testing stage in first-semester calculus and most of second-semester calculus.Features of the textbook include a student-friendly narrative that helps the student think through the development of concepts; a larger font and less-cramped style than popular calculus texts; reading exercises in the narrative; margin notes giving explanations, tips, cautions against common errors, and other notes of interest; hundreds of examples with complete solutions, some of which include details of the thinking process; thousands of exercises of various levels of difficulty, including rapid response exercises meant for in-classroom use; answers to odd-numbered exercises that sometimes include hints, brief explanations of common incorrect answers, alternate forms of answers, or both simplified and unsimplified answers; a review section on avoiding common errors; and an extensive index. These features make the book suitable for individual study as well as classroom use.Since the book is in a preliminary edition, readers are invited to give the author feedback at
[email protected].
Author: C. Dawson
Publisher:
ISBN: 9781974582563
Category :
Languages : en
Pages : 490
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Book Description
This calculus textbook is being tested in sections of Calculus I taught by the author fall 2017 at Union University.
Author: C. Dawson
Publisher:
ISBN: 9781724581198
Category :
Languages : en
Pages : 338
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Book Description
This calculus textbook (volume 2, fall 2018 preliminary edition) is being tested at Union University.Calculus Set Free: Infinitesimals to the Rescue uses infinitesimals to simplify the calculation of limits anywhere they occur, including the development of the derivative and the definite integral, through the use of new definitions, notation, and procedures developed by the author. The author's approach to the definite integral used in this volume is introduced in the article "A New Approach to the Riemann Integral," The American Mathematical Monthly 125:2 (February 2018), pp. 130-140.
Author:
Publisher: Oxford University Press
ISBN: 0192895591
Category : Calculus
Languages : en
Pages : 1617
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Book Description
Calculus Set Free: Infinitesimals to the Rescue is a single-variable calculus textbook that incorporates the use of infinitesimal methods. The procedures used throughout make many of the calculations simpler and the concepts clearer for undergraduate students, heightening success and easing a significant burden of entry into STEM disciplines. This text features a student-friendly exposition with ample marginal notes, examples, illustrations, and more. The exercises include a wide range of difficulty levels, stretching from very simple rapid response questions to the occasional exercise meant to test knowledge. While some exercises require the use of technology to work through, none are dependent on any specific software. The answers to odd-numbered exercises in the back of the book include both simplified and non-simplified answers, hints, or alternative answers. Throughout the text, notes in the margins include comments meant to supplement understanding, sometimes including line-by-line commentary for worked examples. Without sacrificing academic rigor, Calculus Set Free offers an engaging style that helps students to solidify their understanding on difficult theoretical calculus.
Author: C. Bryan Dawson
Publisher:
ISBN: 9781983750595
Category :
Languages : en
Pages : 490
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Book Description
This Spring 2018 Preliminary Edition of Calculus Set Free: Infinitesimals to the Rescue is being tested in sections of MAT 211 Calculus and Analytic Geometry I taught by the author at Union University.
Author: C. Bryan Dawson
Publisher:
ISBN: 9781983752469
Category :
Languages : en
Pages : 150
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Book Description
This Spring 2018 Preliminary Edition of Calculus Set Free: Infinitesimals to the Rescue is being tested in sections of MAT 211 Calculus and Analytic Geometry I taught by the author at Union University.
Author: Bartholomew Price
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 13
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Book Description
Author: Erwin Engeler
Publisher: Springer Science & Business Media
ISBN: 3642780520
Category : Mathematics
Languages : en
Pages : 105
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Book Description
This book appeared about ten years ago in Gennan. It started as notes for a course which I gave intermittently at the ETH over a number of years. Following repeated suggestions, this English translation was commissioned by Springer; they were most fortunate in finding translators whose mathemati cal stature, grasp of the language and unselfish dedication to the essentially thankless task of rendering the text comprehensible in a second language, both impresses and shames me. Therefore, my thanks go to Dr. Roberto Minio, now Darmstadt and Professor Charles Thomas, Cambridge. The task of preparing a La'JEX-version of the text was extremely daunting, owing to the complexity and diversity of the symbolisms inherent in the various parts of the book. Here, my warm thanks go to Barbara Aquilino of the Mathematics Department of the ETH, who spent tedious but exacting hours in front of her Olivetti. The present book is not primarily intended to teach logic and axiomat ics as such, nor is it a complete survey of what was once called "elementary mathematics from a higher standpoint". Rather, its goal is to awaken a certain critical attitude in the student and to help give this attitude some solid foun dation. Our mathematics students, having been drilled for years in high-school and college, and having studied the immense edifice of analysis, regrettably come away convinced that they understand the concepts of real numbers, Euclidean space, and algorithm.
Author: Steven Strogatz
Publisher: Eamon Dolan Books
ISBN: 1328879984
Category : History
Languages : en
Pages : 389
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Book Description
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.
