Download or read book Calculus Set Free written by and published by Oxford University Press. This book was released on 2021-11-30 with total page 1617 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Calculus Set Free Infinitesimals to the Rescue written by C. Dawson and published by . This book was released on 2017-08-14 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This calculus textbook is being tested in sections of Calculus I taught by the author fall 2017 at Union University.
Download or read book Calculus Set Free written by Charles Bryan Dawson and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Calculus Set Free V1 Spring 2018 Preliminary Edition written by C. Bryan Dawson and published by . This book was released on 2018-01-10 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advanced Calculus Revised Edition written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Calculus Set Free written by C. Dawson and published by . This book was released on 2017-08-18 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 of a text being tested by the author at Union University in sections of MAT 211 Calculus and Analytic Geometry.
Download or read book Calculus Set Free V2 Spring 2018 Preliminary Edition written by C. Bryan Dawson and published by . This book was released on 2018-01-10 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Calculus Set Free Infinitesimals to the Rescue written by C. Dawson and published by . This book was released on 2018-07-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Calculus Set Free written by C Bryan Dawson and published by . This book was released on 2019-10-28 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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].
Download or read book Calculus Set Free Infinitesimals to the Rescue Volume 3 written by C. Dawson and published by . This book was released on 2020-03-28 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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].
Download or read book APEX Calculus written by Gregory Hartman and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
Download or read book Sets for Mathematics written by F. William Lawvere and published by Cambridge University Press. This book was released on 2003-01-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
Download or read book Basic Set Theory written by Azriel Levy and published by Courier Corporation. This book was released on 2012-06-11 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic notions, order and well-foundedness, cardinal numbers, the ordinals, and the axiom of choice and some of its consequences. The second part deals with applications and advanced topics, among them a review of point set topology, the real spaces, Boolean algebras, and infinite combinatorics and large cardinals. A helpful appendix deals with eliminability and conservation theorems, while numerous exercises supply additional information on the subject matter and help students test their grasp of the material. 1979 edition. 20 figures.
Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
Download or read book Classic Set Theory written by D.C. Goldrei and published by Routledge. This book was released on 2017-09-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes:The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbersDefining natural numbers in terms of setsThe potential paradoxes in set theoryThe Zermelo-Fraenkel axioms for set theoryThe axiom of choiceThe arithmetic of ordered setsCantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these.The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed.Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.
Download or read book Introduction to Calculus and Analysis II 1 written by Richard Courant and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991
Download or read book Calculus written by Gilbert Strang and published by . This book was released on 2016-03-07 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.
