The Calculus According to S.F. Lacroix (1765-1843) PDF Download

Author: Joao Manuel Caramalho de Melo Domingues
Publisher:
ISBN:
Category :
Languages : en
Pages : 453

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Author: João Caramalho Domingues
Publisher: Springer Science & Business Media
ISBN: 376438638X
Category : Mathematics
Languages : en
Pages : 475

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Silvestre François Lacroix was not a prominent mathematical researcher, but he was certainly a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral, which is an encyclopedic appraisal of 18th-century calculus that remained the standard reference on the subject through much of the 19th century. This book provides the first global and detailed study of Lacroix's Traité Traité du calcul.

Author: Lukas M. Verburgt
Publisher: University of Pittsburgh Press
ISBN: 0822991527
Category : Science
Languages : en
Pages : 563

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William Whewell, the famous master of Trinity College in Cambridge, was a central figure in nineteenth-century British scientific culture and one of the last great polymaths. His influential work ranged from history and philosophy of science, education, architecture, mineralogy, and political economy to mathematics, engineering, natural theology, metaphysics, and moral philosophy. Among his many gifts to science was his role as cofounder and president of the British Association for the Advancement of Science and his wordsmithing; he coined the terms scientist, physicist, linguistics, and electrode. While he was himself an opponent of evolution through natural selection, Whewell’s most famous works, including his Bridgewater Treatise (1833) and Philosophy of the Inductive Sciences (1840), played a formative role in Charles Darwin’s creation of the theory of evolution. William Whewell: Victorian Polymath reexamines the whole of Whewell’s oeuvre, as well as the wide range and internal unity of his many polymathic endeavors, placing him within the early Victorian intellectual landscape and highlighting his exchanges with other important figures of the period, such as John Herschel, Charles Lyell, and Robert Peel. Bringing together a group of eminent and emergent scholars, the volume explores all major aspects of Whewell’s reform project and its legacy, both in the sciences and the humanities, in the Victorian era and beyond.

Author: Vladimir A. Zorich
Publisher: Springer Science & Business Media
ISBN: 9783540403869
Category : Mathematics
Languages : en
Pages : 610

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This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.

Author: Judith V. Grabiner
Publisher: Courier Corporation
ISBN: 0486143740
Category : Mathematics
Languages : en
Pages : 274

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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.

Author: Lokenath Debnath
Publisher: World Scientific
ISBN: 1848165250
Category : Mathematics
Languages : en
Pages : 420

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This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler?s works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler?s personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author's historically motivated method of teaching, special attention is given to demonstrate that Euler?s work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler?s extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research.

Author: J. Aczél
Publisher: Springer Science & Business Media
ISBN: 9400963203
Category : Mathematics
Languages : en
Pages : 243

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Approach your problems from It isn't that they can't see the right end and begin with the solution. It is that they the answers. Then one day, can't see the problem. perhaps you will find the G.K. Chesterton. The Scandal of final question. Father Brown 'The Point of a Pin' . 'The Hermit Clad ~n Crane Feathers' in R. van Gulik's The Chinese Haze Murders. 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 mathe matics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) ~n re gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are rele vant to filtering; and prediction and electrical en~ineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existinf, classifi~ation schemes. They draw upon widely different sections of mathematics.

Author: John Srdjan Petrovic
Publisher: CRC Press
ISBN: 1466565632
Category : Mathematics
Languages : en
Pages : 574

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Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. The book takes a motivating approach that makes ideas less abstract to students. It explains how various topics in calculus may seem unrelated but in reality have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems. Proofs are also presented in an accessible way to students. By strengthening skills gained through elementary calculus, this textbook leads students toward mastering calculus techniques. It will help them succeed in their future mathematical or engineering studies.

Author: John Farrar
Publisher: Legare Street Press
ISBN: 9781017023480
Category : Education
Languages : en
Pages : 0

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author: New York Public Library. Research Libraries
Publisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 536

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