The History of the Calculus and Its Conceptual Development

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Publisher : Courier Corporation
ISBN 13 : 0486175383
Total Pages : 431 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The History of the Calculus and Its Conceptual Development by : Carl B. Boyer

Download or read book The History of the Calculus and Its Conceptual Development written by Carl B. Boyer and published by Courier Corporation. This book was released on 2012-10-09 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.

The History of the Calculus and Its Conceptual Development

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis The History of the Calculus and Its Conceptual Development by :

Download or read book The History of the Calculus and Its Conceptual Development written by and published by . This book was released on 1959 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Concepts of the Calculus

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Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Concepts of the Calculus by : Carl Benjamin Boyer

Download or read book The Concepts of the Calculus written by Carl Benjamin Boyer and published by . This book was released on 1949 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The History of the Calculus and Its Conceptual Development

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis The History of the Calculus and Its Conceptual Development by : Carl Benjamin Boyer

Download or read book The History of the Calculus and Its Conceptual Development written by Carl Benjamin Boyer and published by . This book was released on 1959 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Historical Development of the Calculus

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461262305
Total Pages : 363 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Historical Development of the Calculus by : C.H.Jr. Edwards

Download or read book The Historical Development of the Calculus written by C.H.Jr. Edwards and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The History of the Calculus and Its Conceptual Development

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Publisher :
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.:/5 (265 download)

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Book Synopsis The History of the Calculus and Its Conceptual Development by : Carl B. Boyer

Download or read book The History of the Calculus and Its Conceptual Development written by Carl B. Boyer and published by . This book was released on 1949 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:

History of Analytic Geometry

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Publisher : Courier Corporation
ISBN 13 : 0486154513
Total Pages : 306 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis History of Analytic Geometry by : Carl B. Boyer

Download or read book History of Analytic Geometry written by Carl B. Boyer and published by Courier Corporation. This book was released on 2012-06-28 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.

A History of Mathematics

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0470525487
Total Pages : 695 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis A History of Mathematics by : Carl B. Boyer

Download or read book A History of Mathematics written by Carl B. Boyer and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

The History of the Calculus and Its Conceptual Development

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Publisher : Courier Corporation
ISBN 13 : 9780486158228
Total Pages : 376 pages
Book Rating : 4.1/5 (582 download)

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Book Synopsis The History of the Calculus and Its Conceptual Development by : Carl Benjamin Boyer

Download or read book The History of the Calculus and Its Conceptual Development written by Carl Benjamin Boyer and published by Courier Corporation. This book was released on 1949 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus Reordered

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Publisher : Princeton University Press
ISBN 13 : 0691218781
Total Pages : 242 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Calculus Reordered by : David M. Bressoud

Download or read book Calculus Reordered written by David M. Bressoud and published by Princeton University Press. This book was released on 2021-05-04 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus presents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--especially Syracuse in Sicily and Alexandria in Egypt--as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends instead that the historical order--which follows first integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities--makes more sense in the classroom environment. Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.

The Calculus Wars

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Publisher : Basic Books
ISBN 13 : 0786733640
Total Pages : 304 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis The Calculus Wars by : Jason Socrates Bardi

Download or read book The Calculus Wars written by Jason Socrates Bardi and published by Basic Books. This book was released on 2009-04-29 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This vibrant and gripping history ultimately exposes how these twin mathematical giants (Newton, Leibniz) were proud, brilliant, at times mad, and in the end completely human.

Mathematics and Its History

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Publisher : Springer Nature
ISBN 13 : 3030551938
Total Pages : 400 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Mathematics and Its History by : John Stillwell

Download or read book Mathematics and Its History written by John Stillwell and published by Springer Nature. This book was released on 2020-11-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition

The Concepts of the Calculus

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Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Concepts of the Calculus by : Carl Benjamin Boyer

Download or read book The Concepts of the Calculus written by Carl Benjamin Boyer and published by . This book was released on 1939 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a critical account of the creation of the fundamental ideas of calculus from their inception to the formulation of these in the concepts familiar to students of the elements of mathematical analysis.

The Rainbow from Myth to Mathematics

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Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Rainbow from Myth to Mathematics by : Carl Benjamin Boyer

Download or read book The Rainbow from Myth to Mathematics written by Carl Benjamin Boyer and published by . This book was released on 1959 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Virtually every volume on mythology contains legends connected with the rainbow and practically all modern textbooks of physics include some exposition of the optical principles which account for the bow. Mankind has been thinking, talking and writing about the rainbow for thousands of years. The Rainbow: from Myth to Mathematics gathers material from a great number of primary and secondary sources in the hopes that readers may be tempted to study further some aspects of the history of the theory of the rainbow. Includes information on Aristotle, Francis Bacon, the Christian tradition, color, Rene, Descartes, fogbow, Augustin Fresnel, Galileo Galilei, halo, Islamic tradition, Jesuits, Johann Kepler, nature of light, mirrors, Sir Isaac Newton, Olympiodorus, physics, rainbow breadth, reflection, refraction, Robert Grosseteste, Themo Judoci, Witelo, etc.

Infinite Powers

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Publisher : Eamon Dolan Books
ISBN 13 : 1328879984
Total Pages : 389 pages
Book Rating : 4.3/5 (288 download)

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Book Synopsis Infinite Powers by : Steven Strogatz

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.

A History of Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821826239
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A History of Analysis by : Hans Niels Jahnke

Download or read book A History of Analysis written by Hans Niels Jahnke and published by American Mathematical Soc.. This book was released on 2003 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.

Advanced Calculus

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Publisher : Courier Corporation
ISBN 13 : 0486137864
Total Pages : 434 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Advanced Calculus by : Avner Friedman

Download or read book Advanced Calculus written by Avner Friedman and published by Courier Corporation. This book was released on 2012-10-16 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.