Elementary Calculus
Author: H. Jerome Keisler
Publisher:
Published: 1976
Total Pages: 968
ISBN-13:
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Infinitesimal Calculus
Author: James M. Henle
Publisher: Courier Corporation
Published: 2014-01-15
Total Pages: 146
ISBN-13: 0486151018
DOWNLOAD EBOOKIntroducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.
Calculus Set Free
Author:
Publisher: Oxford University Press
Published: 2021-11-30
Total Pages: 1617
ISBN-13: 0192895591
DOWNLOAD EBOOKCalculus 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.
Foundations of Infinitesimal Calculus
Author: H. Jerome Keisler
Publisher: Prindle Weber & Schmidt
Published: 1976-01-01
Total Pages: 214
ISBN-13: 9780871502155
DOWNLOAD EBOOKA Primer of Infinitesimal Analysis
Author: John L. Bell
Publisher: Cambridge University Press
Published: 2008-04-07
Total Pages: 7
ISBN-13: 0521887186
DOWNLOAD EBOOKA rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.
Infinitesimal
Author: Amir Alexander
Publisher: Simon and Schuster
Published: 2014-07-03
Total Pages: 317
ISBN-13: 1780745338
DOWNLOAD EBOOKOn August 10, 1632, five leading Jesuits convened in a sombre Roman palazzo to pass judgment on a simple idea: that a continuous line is composed of distinct and limitlessly tiny parts. The doctrine would become the foundation of calculus, but on that fateful day the judges ruled that it was forbidden. With the stroke of a pen they set off a war for the soul of the modern world. Amir Alexander takes us from the bloody religious strife of the sixteenth century to the battlefields of the English civil war and the fierce confrontations between leading thinkers like Galileo and Hobbes. The legitimacy of popes and kings, as well as our modern beliefs in human liberty and progressive science, hung in the balance; the answer hinged on the infinitesimal. Pulsing with drama and excitement, Infinitesimal will forever change the way you look at a simple line.
Elementary Calculus
Author: H. Jerome Keisler
Publisher: Orange Groove Books
Published: 2009-09-01
Total Pages: 992
ISBN-13: 9781616100315
DOWNLOAD EBOOKReal Analysis Through Modern Infinitesimals
Author: Nader Vakil
Publisher: Cambridge University Press
Published: 2011-02-17
Total Pages: 587
ISBN-13: 1107002028
DOWNLOAD EBOOKA coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.
Infinite Powers
Author: Steven Strogatz
Publisher: Mariner Books
Published: 2019
Total Pages: 389
ISBN-13: 1328879984
DOWNLOAD EBOOKThis is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.
The Origins of Infinitesimal Calculus
Author: Margaret E. Baron
Publisher: Elsevier
Published: 2014-05-09
Total Pages: 313
ISBN-13: 1483280926
DOWNLOAD EBOOKThe Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.
