Calculus Set Free

Infinitesimals to the Rescue

C. BRYAN DAWSON (Autor)

Buch | Hardcover

1616 Seiten

2021
Oxford University Press (Verlag)
978-0-19-289559-2 (ISBN)

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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.

C. Bryan Dawson has been teaching calculus for three decades and currently holds the title University Professor of Mathematics at Union University in Jackson, Tennessee, USA. Originally trained in functional analysis, in 2013 Dawson began working in nonstandard calculus, developing many of the infinitesimal procedures featured in this book. Dawson and his wife Martha are both enrolled citizens of the Cherokee Nation, the largest federally recognized tribe of Native Americans. They have three grown children.

Review
1: Hyperreals, Limits, and Continuity
2: Derivatives
3: Applications of the Derivative
4: Integration
5: Transcendental Functions
6: Applications of Integration
7: Techniques of Integration
8: Alternate Representations: Parametric and Polar Curves
9: Additional Applications of Integration
10: Sequences and Series

Erscheinungsdatum	01.12.2021
Zusatzinfo	149
Verlagsort	Oxford
Sprache	englisch
Maße	196 x 252 mm
Gewicht	2786 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-19-289559-1 / 0192895591
ISBN-13	978-0-19-289559-2 / 9780192895592
Zustand	Neuware