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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:
Publisher: Oxford University Press
ISBN: 0192895591
Category : Calculus
Languages : en
Pages : 1617
Get Book Here
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. 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: Charles Bryan Dawson
Publisher:
ISBN: 9780191947988
Category : Calculus
Languages : en
Pages : 0
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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.
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 596
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Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
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. Dawson
Publisher:
ISBN: 9781974698028
Category :
Languages : en
Pages : 150
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Book Description
Volume 2 of a text being tested by the author at Union University in sections of MAT 211 Calculus and Analytic Geometry.
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: 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: 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:
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].
