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Cauchys Calcul Infinitesimal
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Book Synopsis Cauchy's Calcul Infinitésimal by : Dennis M. Cates
Download or read book Cauchy's Calcul Infinitésimal written by Dennis M. Cates and published by Springer. This book was released on 2019-04-03 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cauchy's Calcul Infinitésimal by : Augustin Louis Baron Cauchy
Download or read book Cauchy's Calcul Infinitésimal written by Augustin Louis Baron Cauchy and published by . This book was released on 2012-05-10 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cauchy’s Cours d’analyse by : Robert E. Bradley
Download or read book Cauchy’s Cours d’analyse written by Robert E. Bradley and published by Springer Science & Business Media. This book was released on 2010-01-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such rigorous foundations. Today, the quality of a work of mathematics is judged in part on the quality of its rigor, and this standard is largely due to the transformation brought about by Cauchy and the Cours d’analyse. For this translation, the authors have also added commentary, notes, references, and an index.
Book Synopsis From the Calculus to Set Theory, 1630-1910 by : I. Grattan-Guinness
Download or read book From the Calculus to Set Theory, 1630-1910 written by I. Grattan-Guinness and published by Princeton University Press. This book was released on 2000-12-10 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Møller-Pedersen.
Book Synopsis The Origins of Cauchy's Rigorous Calculus by : Judith V. Grabiner
Download or read book The Origins of Cauchy's Rigorous Calculus written by Judith V. Grabiner and published by . This book was released on 1981 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Dragoslav S. Mitrinovic Publisher :Springer Science & Business Media ISBN 13 :9789027716231 Total Pages :218 pages Book Rating :4.7/5 (162 download)
Book Synopsis The Cauchy Method of Residues by : Dragoslav S. Mitrinovic
Download or read book The Cauchy Method of Residues written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 1984-04-30 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not' grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory arid the struc ture of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-5cale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. This program, Mathematics and Its Applications, is devoted to such (new) interrelations as exampla gratia: - a central concept which plays an important role in several different mathe matical and/or scientific specialized areas; - new applications of the results and ideas from one area of scientific en deavor into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another.
Book Synopsis Augustin-Louis Cauchy by : Bruno Belhoste
Download or read book Augustin-Louis Cauchy written by Bruno Belhoste and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: A great difficulty facing a biographer of Cauchy is that of delineating the curious interplay between the man, his times, and his scientific endeavors. Professor Belhoste has succeeded admirably in meeting this challenge and has thus written a vivid biography that is both readable and informative. His subject stands out as one of the most brilliant, versatile, and prolific fig ures in the annals of science. Nearly two hundred years have now passed since the young Cauchy set about his task of clarifying mathematics, extending it, applying it wherever possible, and placing it on a firm theoretical footing. Through Belhoste's work we are afforded a detailed, rather personalized picture of how a first rate mathematician worked at his discipline - his strivings, his inspirations, his triumphs, his failures, and above all, his conflicts and his errors.
Book Synopsis A Rudimentary Treatise on the Integral Calculus by : Homersham COX (the Elder.)
Download or read book A Rudimentary Treatise on the Integral Calculus written by Homersham COX (the Elder.) and published by . This book was released on 1852 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis MVT: A Most Valuable Theorem by : Craig Smorynski
Download or read book MVT: A Most Valuable Theorem written by Craig Smorynski and published by Springer. This book was released on 2017-04-07 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the rise and supposed fall of the mean value theorem. It discusses the evolution of the theorem and the concepts behind it, how the theorem relates to other fundamental results in calculus, and modern re-evaluations of its role in the standard calculus course. The mean value theorem is one of the central results of calculus. It was called “the fundamental theorem of the differential calculus” because of its power to provide simple and rigorous proofs of basic results encountered in a first-year course in calculus. In mathematical terms, the book is a thorough treatment of this theorem and some related results in the field; in historical terms, it is not a history of calculus or mathematics, but a case study in both. MVT: A Most Valuable Theorem is aimed at those who teach calculus, especially those setting out to do so for the first time. It is also accessible to anyone who has finished the first semester of the standard course in the subject and will be of interest to undergraduate mathematics majors as well as graduate students. Unlike other books, the present monograph treats the mathematical and historical aspects in equal measure, providing detailed and rigorous proofs of the mathematical results and even including original source material presenting the flavour of the history.
Book Synopsis A Rudimentary Treatise on the Integral Calculus by : Homersham Cox
Download or read book A Rudimentary Treatise on the Integral Calculus written by Homersham Cox and published by . This book was released on 1852 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Historian Looks Back by : Judith V. Grabiner
Download or read book A Historian Looks Back written by Judith V. Grabiner and published by MAA. This book was released on 2010-10-14 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: An inspiring collection of a historian's work on the history of mathematics.
Book Synopsis A Rudimentary Treatise on the Integral Calculus by Homersham Cox by : Homersham Cox
Download or read book A Rudimentary Treatise on the Integral Calculus by Homersham Cox written by Homersham Cox and published by . This book was released on 1852 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Real and the Complex: A History of Analysis in the 19th Century by : Jeremy Gray
Download or read book The Real and the Complex: A History of Analysis in the 19th Century written by Jeremy Gray and published by Springer. This book was released on 2015-10-14 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass. This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subjects, in keeping with how they were seen at the time. It is suitable as a course in the history of mathematics for students who have studied an introductory course in analysis, and will enrich any course in undergraduate real or complex analysis.
Book Synopsis The Math Book by : Clifford A. Pickover
Download or read book The Math Book written by Clifford A. Pickover and published by Union Square + ORM. This book was released on 2011-09-27 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
Book Synopsis The Origins of Cauchy's Rigorous Calculus by : Judith V. Grabiner
Download or read book The Origins of Cauchy's Rigorous Calculus written by Judith V. Grabiner and published by Courier Corporation. This book was released on 2012-05-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
Book Synopsis The Place of the Elementary Calculus in the Senior High-school Mathematics by : Noah Bryan Rosenberger
Download or read book The Place of the Elementary Calculus in the Senior High-school Mathematics written by Noah Bryan Rosenberger and published by . This book was released on 1921 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Infinitesimal Calculus by : Jean Dieudonné
Download or read book Infinitesimal Calculus written by Jean Dieudonné and published by . This book was released on 1971 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
