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 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 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 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 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 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 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 A Treatise on Infinitesimal Calculus written by Bartholomew Price and published by . This book was released on 1857 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundations of Mathematics written by Erwin Engeler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Infinite Powers written by Steven Strogatz and published by Eamon Dolan Books. This book was released on 2019 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.
Download or read book Calculus and Vectors 12 written by and published by . This book was released on 2008 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book From Indivisibles to Infinitesimals written by Antoni Malet and published by . This book was released on 1996 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Their Own Terms written by Benjamin A. Elman and published by Harvard University Press. This book was released on 2009-07-01 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: In On Their Own Terms, Benjamin A. Elman offers a much-needed synthesis of early Chinese science during the Jesuit period (1600-1800) and the modern sciences as they evolved in China under Protestant influence (1840s-1900). By 1600 Europe was ahead of Asia in producing basic machines, such as clocks, levers, and pulleys, that would be necessary for the mechanization of agriculture and industry. In the seventeenth and eighteenth centuries, Elman shows, Europeans still sought from the Chinese their secrets of producing silk, fine textiles, and porcelain, as well as large-scale tea cultivation. Chinese literati borrowed in turn new algebraic notations of Hindu-Arabic origin, Tychonic cosmology, Euclidian geometry, and various computational advances. Since the middle of the nineteenth century, imperial reformers, early Republicans, Guomindang party cadres, and Chinese Communists have all prioritized science and technology. In this book, Elman gives a nuanced account of the ways in which native Chinese science evolved over four centuries, under the influence of both Jesuit and Protestant missionaries. In the end, he argues, the Chinese produced modern science on their own terms.
Download or read book The Computer Modelling of Mathematical Reasoning written by Alan Bundy and published by . This book was released on 1983 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review of the work done to date on the computer modelling of mathematical reasoning processes brings together a variety of approaches and disciplines within a coherent frame. A limited knowledge of mathematics is assumed in the introduction to the principles of mathematical logic. The plan of the book is such that students with varied backgrounds can find necessary information as quickly as possible. Exercises are included throughout the book.
Download or read book Leonhard Euler written by Robert E. Bradley and published by Elsevier. This book was released on 2007-03-20 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment’s most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world’s best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler’s life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler’s philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler’s innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science. - Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich- New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova- New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century
Download or read book Distinctions of Reason and Reasonable Distinctions written by Jason M. Rampelt and published by BRILL. This book was released on 2019-07-22 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intellectual biography of John Wallis (1616-1703), professor of mathematics at Oxford. Despite war, church upheaval, and a revolution in science, Wallis advanced mathematics and natural philosophy within the university, bridging old and new.
