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.

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.

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.

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


An Elementary Course of Infinitesimal Calculus

An Elementary Course of Infinitesimal Calculus PDF Author: Sir Horace Lamb
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 556

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Book Description


Elementary Calculus

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

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Book Description


Infinitesimal Calculus

Infinitesimal Calculus PDF Author: Jean Dieudonné
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 440

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Book Description


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.

Cauchy's Calcul Infinitésimal

Cauchy's Calcul Infinitésimal PDF Author: Dennis M. Cates
Publisher: Springer
ISBN: 3030110362
Category : Mathematics
Languages : en
Pages : 267

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Book Description
This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.

Introductory Electrical Engineering With Math Explained in Accessible Language

Introductory Electrical Engineering With Math Explained in Accessible Language PDF Author: Magno Urbano
Publisher: John Wiley & Sons
ISBN: 1119580188
Category : Technology & Engineering
Languages : en
Pages : 612

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Book Description
Offers an understanding of the theoretical principles in electronic engineering, in clear and understandable terms Introductory Electrical Engineering With Math Explained in Accessible Language offers a text that explores the basic concepts and principles of electrical engineering. The author—a noted expert on the topic—explains the underlying mathematics involved in electrical engineering through the use of examples that help with an understanding of the theory. The text contains clear explanations of the mathematical theory that is needed to understand every topic presented, which will aid students in engineering courses who may lack the necessary basic math knowledge. Designed to breakdown complex math concepts into understandable terms, the book incorporates several math tricks and knowledge such as matrices determinant and multiplication. The author also explains how certain mathematical formulas are derived. In addition, the text includes tables of integrals and other tables to help, for example, find resistors’ and capacitors’ values. The author provides the accessible language, examples, and images that make the topic accessible and understandable. This important book: • Contains discussion of concepts that go from the basic to the complex, always using simplified language • Provides examples, diagrams, and illustrations that work to enhance explanations • Explains the mathematical knowledge that is crucial to understanding electrical concepts • Contains both solved exercises in-line with the explanations Written for students, electronic hobbyists and technicians, Introductory Electrical Engineering With Math Explained in Accessible Language is a much-needed text that is filled with the basics concepts of electrical engineering with the approachable math that aids in an understanding of the topic.

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