The Historical Development of the Calculus

Author: C.H.Jr. Edwards

Publisher: Springer Science & Business Media

ISBN: 9780387943138

Category: Mathematics

Page: 368

View: 4463

The calculus has served for three centuries as the principal quantitative language of Western science. In the course of its genesis and evolution some of the most fundamental problems of mathematics were first con fronted and, through the persistent labors of successive generations, finally resolved. Therefore, the historical development of the calculus holds a special interest for anyone who appreciates the value of a historical perspective in teaching, learning, and enjoying mathematics and its ap plications. My goal in writing this book was to present an account of this development that is accessible, not solely to students of the history of mathematics, but to the wider mathematical community for which my exposition is more specifically intended, including those who study, teach, and use calculus. The scope of this account can be delineated partly by comparison with previous works in the same general area. M. E. Baron's The Origins of the Infinitesimal Calculus (1969) provides an informative and reliable treat ment of the precalculus period up to, but not including (in any detail), the time of Newton and Leibniz, just when the interest and pace of the story begin to quicken and intensify. C. B. Boyer's well-known book (1949, 1959 reprint) met well the goals its author set for it, but it was more ap propriately titled in its original edition-The Concepts of the Calculus than in its reprinting.
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Calculus and ODEs

Author: D. B. Pearson

Publisher: Butterworth-Heinemann

ISBN: 0340625309

Category: Mathematics

Page: 227

View: 6132

Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.
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Vom Calculus zum Chaos

Author: David J. Acheson

Publisher: Walter de Gruyter

ISBN: 3486598996

Category: Mathematics

Page: 301

View: 7010

Eine spannende Abhandlung zu ausgewählten Fragen der Mechanik quer durch die Jahrhunderte der Physik. Ohne großen mathematischen Ballast zeigt Acheson, wie hier die Infinitesimalrechnung - oder auch Calculus - den passenden Schlüssel zum Verständnis liefert. Das dynamische Verhalten der vorgestellten Systeme wird sowohl analytisch als auch mit Simulationen untersucht. Dazu werden QBasic-Programme verwendet, die so einfach sind, daß sie jeder leicht zum Laufen bringen und seinen Fragestellungen entsprechend anpassen kann. Der Inhalt wird durch historische Darstellungen der Mechanik und durch Bilder berühmter Physiker und Faksimiles ihrer Originaltexte bereichert. Das Buch für Studenten und Dozenten der Mathematik und Physik ist auch für interessierte Schüler der Oberstufe geeignet.
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Calculus Candidus

Leich- unnd Lobpredig ... Deß ... Herrn Johann Christoff Grafen von LiechtenStein, Bischoffen zu Chiemsee ...

Author: Roman Müller

Publisher: N.A

ISBN: N.A

Category:

Page: 42

View: 4651

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Series Calculus (Meerut)

Author: A.R. Vasishtha

Publisher: Krishna Prakashan Media

ISBN: N.A

Category:

Page: N.A

View: 3268

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A Tour of the Calculus

Author: David Berlinski

Publisher: Vintage

ISBN: 9780307789730

Category: Mathematics

Page: 352

View: 7865

Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review From the Trade Paperback edition.
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Calculus

Author: James Stewart

Publisher: Cengage Learning

ISBN: 0538497815

Category: Mathematics

Page: 1368

View: 1330

James Stewart's CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Seventh Edition of CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Seventh Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Calculus

Basic Concepts and Applications

Author: R. A. Rosenbaum,G. P. Johnson

Publisher: CUP Archive

ISBN: 9780521250122

Category: Mathematics

Page: 422

View: 6484

Here is a textbook of intuitive calculus. The material is presented in a concrete setting with many examples and problems chosen from the social, physical, behavioural and life sciences. Chapters include core material and more advanced optional sections. The book begins with a review of algebra and graphing.
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CALCULUS

Based on Latest Syllabus under Choice Based Credit System for Honours Courses other than Mathematics (H)

Author: Dinesh Khattar,Kavita Gupta

Publisher: PHI Learning Pvt. Ltd.

ISBN: 8120353609

Category: Mathematics

Page: 400

View: 5467

Written from examination point of view, this textbook provides the basic concepts of calculus to the undergraduate students of all disciplines (Honours courses) other than Mathematics (Hons.) of all Central Universities of India following Choice Based Credit System (CBCS) including University of Delhi. The text follows a student-centric approach which communicates the practical aspects of Mathematics in such a way that it drives out the common fear of learning any mathematical subject. The concepts are properly supported by illustrations followed by several varied types of examples to provide students an integrated view of theory and applications. There are about four hundred examples in this book and the concepts are explained geometrically through numerous figures. A large number of self-practice problems with hints and answers have been added in each chapter to enable students to learn. Most of the questions conform to the examination-style universities of Indian. SALIENT FEATURES • Gives step by step procedure of solving worked problems for better understanding • Includes Chapter Objectives at the beginning of each chapter. • Familiarizes students with the basic techniques of calculus used in analysing the behaviour of a function.
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Calculus II

Author: Jerrold Marsden,A. Weinstein

Publisher: Springer Science & Business Media

ISBN: 9780387909752

Category: Mathematics

Page: 345

View: 6688

The second of a three-volume work, this is the result of the authors'experience teaching calculus at Berkeley. The book covers techniques and applications of integration, infinite series, and differential equations, the whole time motivating the study of calculus using its applications. The authors include numerous solved problems, as well as extensive exercises at the end of each section. In addition, a separate student guide has been prepared.
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Calculus

Author: Gilbert Strang

Publisher: SIAM

ISBN: 9780961408824

Category: Mathematics

Page: 614

View: 3310

contient des exercices.
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Calculus

Author: Ron Larson,Bruce H. Edwards

Publisher: Cengage Learning

ISBN: 0547167024

Category: Mathematics

Page: 1328

View: 1376

The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Differential and Integral Calculus

Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 9780471608424

Category: Mathematics

Page: 640

View: 4743

Now available in a low-priced paperback edition! Written by one of the foremost mathematicians of the 20th century, this text remains the only modern treatment to successfully integrate principles of analysis into first-year calculus. Further, Courant's treatment introduces the differential and integral calculus simultaneously, emphasizing the central point of the calculus, namely, the connection between definite integral, indefinite integral, and derivative. Exposition exhibits the close connection between analysis and its applications, making this text appropriate for students of mathematics, or of science and engineering. Courant makes the subject easier to grasp by giving proofs step-by-step, and by developing the intuition that gave rise to the calculus and guides its use today.
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Calculus

Problems and Solutions

Author: Abraham Ginzburg

Publisher: Courier Corporation

ISBN: 9780486432779

Category: Mathematics

Page: 455

View: 8869

This text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. Over 1,200 problems, with hints and complete solutions. Topics include sequences, functions of a single variable, limit of a function, differential calculus for functions of a single variable, the differential, indefinite and definite integrals, more. 1963 edition.
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Single Variable Calculus

Author: James Stewart

Publisher: Cengage Learning

ISBN: 0538497831

Category: Mathematics

Page: 960

View: 9466

James Stewart's CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Seventh Edition of SINGLE VARIABLE CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Seventh Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Calculus

A Short Course

Author: Michael C. Gemignani

Publisher: Courier Corporation

ISBN: 0486438236

Category: Mathematics

Page: 269

View: 6476

Clearly written and well-illustrated, this text is geared toward undergraduate business and social science students. Topics include sets, functions, and graphs; limits and continuity; special functions; the derivative; the definite integral; and functions of several variables. Answers to more than half of the problems appear in the appendix. 1972 edition. Includes 142 figures.
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