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Sinopsis
""A Treatise On The Differential And Integral Calculus, And The Calculus Of Variations"" by Thomas G. Hall is a comprehensive guide to the fundamental concepts of calculus. The book covers both differential and integral calculus, as well as the calculus of variations, which is the study of how functions change when their inputs are varied.The book is divided into several chapters, each of which covers a specific topic in calculus. The first chapter introduces the basic concepts of differentiation, including limits, derivatives, and rules for finding derivatives. The second chapter covers integration, including the fundamental theorem of calculus and techniques for finding integrals.The third chapter introduces the calculus of variations, which involves finding the minimum or maximum value of a function subject to certain constraints. This chapter covers topics such as the Euler-Lagrange equation and the calculus of variations for multiple variables.Throughout the book, the author provides numerous examples and exercises to help readers understand the concepts and apply them to real-world problems. The book is written in a clear and concise style, making it accessible to both students and professionals in the field of mathematics.Overall, ""A Treatise On The Differential And Integral Calculus, And The Calculus Of Variations"" is an essential resource for anyone seeking a thorough understanding of calculus and its applications.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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Reseña del editor
By a method, similar to that of M. Poisson, it is shewn that Ui =f{x +h) can always be expanded in a series of ascending integral powers of h, which may be written under the convenient form of the equation M, =u +A h+ Ulr. The term A h, the first term of the difference between u-u, is defined to be the differential of u: and A the coefficient of his called the differential coefficient: and from these definitions, the rules forD ifferentiation are in general derived. But since when the general form off{x +h) has been demonstrated, we see that -is equal to A, when h= 0: we may therefore find the differential coefficient, by dividing both sides of the equation u-u (p (x, h) (not expanded), by h, and then make h= 0. This method which sometimes diminishes the algebraical labour of finding A, is in few instances made use of. It is in fact the method of Limits, often useful in the application of the Calculus, and to which the idea of series is so necessary an auxiliary. In truth the notion of a series seems inseparably connected with the method of Limits to which in theD iflferential Calculus it gives a clearness and precision, of which it stands much in need. For to say that when n=f{x); and nis its value when xbecomes xthe differential Coefficient is the value to which ~tends x- Xwhile xcontinually approaches x, without first exhibiting the relation which exists between ?, and ,is to use a mysterious obscurity which must heavily tax the faith or the credulousness of the reader. But put for 7i its expansion and the difficulty vanishes. It has been said that(.
(Typographical errors above are due to OCR software and don't occur in the book.)
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A Treatise On The Differential And Integral Calculus, And The Calculus Of Variations
Publicado por
Kessinger Publishing, 2007
ISBN 10: 1432649574
ISBN 13: 9781432649579
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Librería: California Books, Miami, FL, Estados Unidos de America
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Imagen de archivo
A Treatise On The Differential And Integral Calculus, And The Calculus Of Variations
Publicado por
Kessinger Publishing, 2007
ISBN 10: 1432649574
ISBN 13: 9781432649579
Nuevo
Tapa blanda
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Calificación del vendedor: 5 de 5 estrellas
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A Treatise On The Differential And Integral Calculus, And The Calculus Of Variations
Publicado por
Kessinger Publishing, LLC, 2007
ISBN 10: 1432649574
ISBN 13: 9781432649579
Nuevo
Tapa blanda
Librería: moluna, Greven, Alemania
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Klappentext A Treatise On The Differential And Integral Calculus, And The Calculus Of Variations by Thomas G. Hall is a comprehensive guide to the fundamental concepts of calculus. The book covers both differential and integral calcul. Nº de ref. del artículo: 447645684
Cantidad disponible: Más de 20 disponibles
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A Treatise On The Differential And Integral Calculus, And The Calculus Of Variations
Publicado por
Kessinger Publishing, LLC, 2007
ISBN 10: 1432649574
ISBN 13: 9781432649579
Nuevo
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - ''A Treatise On The Differential And Integral Calculus, And The Calculus Of Variations'' by Thomas G. Hall is a comprehensive guide to the fundamental concepts of calculus. The book covers both differential and integral calculus, as well as the calculus of variations, which is the study of how functions change when their inputs are varied.The book is divided into several chapters, each of which covers a specific topic in calculus. The first chapter introduces the basic concepts of differentiation, including limits, derivatives, and rules for finding derivatives. The second chapter covers integration, including the fundamental theorem of calculus and techniques for finding integrals.The third chapter introduces the calculus of variations, which involves finding the minimum or maximum value of a function subject to certain constraints. This chapter covers topics such as the Euler-Lagrange equation and the calculus of variations for multiple variables.Throughout the book, the author provides numerous examples and exercises to help readers understand the concepts and apply them to real-world problems. The book is written in a clear and concise style, making it accessible to both students and professionals in the field of mathematics.Overall, ''A Treatise On The Differential And Integral Calculus, And The Calculus Of Variations'' is an essential resource for anyone seeking a thorough understanding of calculus and its applications.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work. Nº de ref. del artículo: 9781432649579
Cantidad disponible: 1 disponibles