Elementary Calculus

Elementary Calculus PDF Author: H. Jerome Keisler
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 968

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Book Description

Elementary Calculus

Elementary Calculus PDF Author: H. Jerome Keisler
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 968

Get Book Here

Book Description


Infinitesimal Calculus

Infinitesimal Calculus PDF Author: James M. Henle
Publisher: Courier Corporation
ISBN: 0486151018
Category : Mathematics
Languages : en
Pages : 146

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Book Description
Introducing 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

Calculus Set Free PDF 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.

A Primer of Infinitesimal Analysis

A Primer of Infinitesimal Analysis PDF Author: John L. Bell
Publisher: Cambridge University Press
ISBN: 0521887186
Category : Mathematics
Languages : en
Pages : 7

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Book Description
A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.

Foundations of Infinitesimal Calculus

Foundations of Infinitesimal Calculus PDF Author: H. Jerome Keisler
Publisher: Prindle Weber & Schmidt
ISBN: 9780871502155
Category : Mathematics
Languages : en
Pages : 214

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Book Description


Elementary Calculus

Elementary Calculus PDF Author: H. Jerome Keisler
Publisher: Orange Groove Books
ISBN: 9781616100315
Category : Mathematics
Languages : en
Pages : 992

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Book Description


Infinitesimal

Infinitesimal PDF Author: Amir Alexander
Publisher: Simon and Schuster
ISBN: 1780745338
Category : Science
Languages : en
Pages : 317

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Book Description
On 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.

Infinite Powers

Infinite Powers PDF Author: Steven Strogatz
Publisher: Mariner Books
ISBN: 1328879984
Category : Biography & Autobiography
Languages : en
Pages : 389

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Book Description
This 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.

Real Analysis Through Modern Infinitesimals

Real Analysis Through Modern Infinitesimals PDF Author: Nader Vakil
Publisher: Cambridge University Press
ISBN: 1107002028
Category : Mathematics
Languages : en
Pages : 587

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Book Description
A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.

The Origins of Infinitesimal Calculus

The Origins of Infinitesimal Calculus PDF Author: Margaret E. Baron
Publisher: Elsevier
ISBN: 1483280926
Category : Mathematics
Languages : en
Pages : 313

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Book Description
The 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.