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Cauchy`s Calcul Infinitйsimal: An Annotated English Translation, Cates Dennis M.


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Автор: Cates Dennis M.
Название:  Cauchy`s Calcul Infinitйsimal: An Annotated English Translation
ISBN: 9783030110352
Издательство: Springer
Классификация:


ISBN-10: 3030110354
Обложка/Формат: Hardcover
Страницы: 267
Вес: 0.58 кг.
Дата издания: 09.05.2019
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 1 illustrations, black and white; xxiv, 267 p. 1 illus.
Размер: 234 x 156 x 18
Читательская аудитория: Professional & vocational
Подзаголовок: An annotated english translation
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
This book is a complete English translation of Augustin-Louis Cauchys historic 1823 text (his first devoted to calculus), R?sum? des le?ons sur le calcul infinit?simal, Summary of Lectures on the Infinitesimal Calculus, originally written to benefit his ?cole 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 Cauchys 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.

Дополнительное описание: Differential Calculus.- Lecture One.- ?Lecture Two.- ?Lecture Three.- ?Lecture Four.- ?Lecture Five.- ?Lecture Six.- ?Lecture Seven.- ?Lecture Eight.- ?Lecture Nine.- ?Lecture Ten.- ?Lecture Eleven.- ?Lecture Twelve.- ?Lecture Thirteen.- ?Lecture Fourteen



Calculus

Автор: Spivak Michael
Название: Calculus
ISBN: 0521867444 ISBN-13(EAN): 9780521867443
Издательство: Cambridge Academ
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Цена: 7762.00 р.
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Описание: Spivak`s celebrated Calculus combines leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Ideal for honours students and mathematics majors seeking an alternative to doorstop textbooks and more formidable introductions to real analysis.

Stochastic Calculus for Finance I

Автор: Shreve
Название: Stochastic Calculus for Finance I
ISBN: 0387249680 ISBN-13(EAN): 9780387249681
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Developed for the professional Master`s program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several yearsExercises conclude every chapter;

Fractional Signals and Systems

Автор: Manuel Duarte Ortigueira, Duarte Valerio
Название: Fractional Signals and Systems
ISBN: 3110621290 ISBN-13(EAN): 9783110621297
Издательство: Walter de Gruyter
Цена: 22305.00 р.
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Описание:

The series is devoted to the publication of high-level monographs which cover progresses in fractional calculus research in mathematics and applications in physics, mechanics, engineering and biology etc. Methodological aspects e.g., theory, modeling and computational methods are presented from mathematical point of view, and emphases are placed in computer simulation, analysis, design and control of application-oriented issues in various scientific disciplines. It is designed for mathematicians, and researchers using fractional calculus as a tool in the field of physics, mechanics, engineering and biology. Contributions which are interdisciplinary and which stimulate further research at the crossroads of sciences and engineering are particularly welcomed.

Editor-in-chief: Changpin Li, Shanghai University, China

Editorial Board:
Virginia Kiryakova, Bulgarian Academy of Sciences, Bulgaria
Francesco Mainardi, University of Bologna, Italy
Dragan Spasic, University of Novi Sad, Serbia
Bruce Ian Henry, University of New South Wales, Australia
YangQuan Chen, University of California, Merced, USA

Please submit book proposals to Professor Changpin Li: lcp@shu.edu.cn

Complex Integration and Cauchy`s Theorem

Автор: Watson
Название: Complex Integration and Cauchy`s Theorem
ISBN: 1107493951 ISBN-13(EAN): 9781107493957
Издательство: Cambridge Academ
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Цена: 3008.00 р.
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Описание: Originally published in 1914 as number fifteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise proof of Cauchy`s Theorem, along with some applications of the theorem to the evaluation of definite integrals.

Tensor Calculus and Applications: Simplified Tools and Techniques

Автор: Bhaben Chandra Kalita
Название: Tensor Calculus and Applications: Simplified Tools and Techniques
ISBN: 0367138069 ISBN-13(EAN): 9780367138066
Издательство: Taylor&Francis
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Цена: 23734.00 р.
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Описание: The aim of this book is to make the subject easier to understand. This book provides clear concepts, tools, and techniques to master the subject of Tensors, and can be used in many fields of research. Special applications are discussed in the book, in order to remove any confusion, and for absolute understanding of the subject.

Student`s Guide to Calculus by J. Marsden and A. Weinstein

Автор: Frederick H. Soon
Название: Student`s Guide to Calculus by J. Marsden and A. Weinstein
ISBN: 0387962077 ISBN-13(EAN): 9780387962078
Издательство: Springer
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Цена: 5589.00 р.
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Описание: This Student Guide is exceptional, maybe even unique, among such guides in that its author, Fred Soon, was actually a student user of the textbook during one of the years we were writing and debugging the book.

Calculus: Concepts and methods, 2nd ed.

Автор: Ken Binmore, Davies J.
Название: Calculus: Concepts and methods, 2nd ed.
ISBN: 0521775418 ISBN-13(EAN): 9780521775410
Издательство: Cambridge Academ
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Цена: 9661.00 р.
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Описание: Takes readers gently from single to multivariate calculus and simple differential and difference equations. Unusually the book offers a wide range of applications in business and economics, as well as more conventional scientific examples. Full colour Mathematica diagrams have been used to give accurate and attractive diagrams to help students visualise the complex mathematical objects.

Functional Calculi

Автор: Swartz Charles
Название: Functional Calculi
ISBN: 9814415979 ISBN-13(EAN): 9789814415972
Издательство: World Scientific Publishing
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Цена: 12514.00 р.
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Описание: A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, such as a method for defining "functions of an operator". This book contains an exposition of several such functional calculi.

A History of the Calculus of Variations from the 17th through the 19th Century

Автор: H. H. Goldstine
Название: A History of the Calculus of Variations from the 17th through the 19th Century
ISBN: 1461381088 ISBN-13(EAN): 9781461381082
Издательство: Springer
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Цена: 12577.00 р.
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Описание: The calculus of variations is a subject whose beginning can be precisely dated. This analysis of Fermat seems to me especially appropriate as a starting point: He used the methods of the calculus to minimize the time of passage cif a light ray through the two media, and his method was adapted by John Bernoulli to solve the brachystochrone problem.

Stochastic Calculus of Variations in Mathematical Finance

Автор: Malliavin
Название: Stochastic Calculus of Variations in Mathematical Finance
ISBN: 3540434313 ISBN-13(EAN): 9783540434313
Издательство: Springer
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Цена: 12577.00 р.
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Описание: Malliavin calculus provides an infinite-dimensional differential calculus in the context of continuous paths stochastic processes. The calculus includes formulae of integration by parts and Sobolev spaces of differentiable functions defined on a probability space. This new book, demonstrating the relevance of Malliavin calculus for Mathematical Finance, starts with an exposition from scratch of this theory. Greeks (price sensitivities) are reinterpreted in terms of Malliavin calculus. Integration by parts formulae provide stable Monte Carlo schemes for numerical valuation of digital options. Finite-dimensional projections of infinite-dimensional Sobolev spaces lead to Monte Carlo computations of conditional expectations useful for computing American options. The discretization error of the Euler scheme for a stochastic differential equation is expressed as a generalized Watanabe distribution on the Wiener space. Insider information is expressed as an infinite-dimensional drift. The last chapter gives an introduction to the same objects in the context of jump processes where incomplete markets appear.


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