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Advanced Calculus, James J. Callahan


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Автор: James J. Callahan
Название:  Advanced Calculus
ISBN: 9781493940707
Издательство: Springer
Классификация:



ISBN-10: 1493940708
Обложка/Формат: Paperback
Страницы: 526
Вес: 1.02 кг.
Дата издания: 23.08.2016
Серия: Undergraduate Texts in Mathematics
Язык: English
Размер: 179 x 253 x 39
Основная тема: Mathematics
Подзаголовок: A Geometric View
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: A half-century ago, advanced calculus was a well-de?ned subject at the core of the undergraduate mathematics curriulum. The classic texts of Taylor 19], Buck 1], Widder 21], and Kaplan 9], for example, show some of the ways it was approached. Over time, certain aspects of the course came to be seen as more signi?cant--those seen as giving a rigorous foundation to calculus--and they - came the basis for a new course, an introduction to real analysis, that eventually supplanted advanced calculus in the core. Advanced calculus did not, in the process, become less important, but its role in the curriculum changed. In fact, a bifurcation occurred. In one direction we got c- culus on n-manifolds, a course beyond the practical reach of many undergraduates; in the other, we got calculus in two and three dimensions but still with the theorems of Stokes and Gauss as the goal. The latter course is intended for everyone who has had a year-long introduction to calculus; it often has a name like Calculus III. In my experience, though, it does not manage to accomplish what the old advancedcalculus course did. Multivariable calculusnaturallysplits intothreeparts: (1)severalfunctionsofonevariable, (2)one function of several variables, and (3) several functions of several variables. The ?rst two are well-developed in Calculus III, but the third is really too large and varied to be treated satisfactorily in the time remaining at the end of a semester. To put it another way: Greens theorem ?ts comfortably; Stokes and Gauss do not.


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 II

Автор: Shreve, Steven E.
Название: Stochastic Calculus for Finance II
ISBN: 0387401016 ISBN-13(EAN): 9780387401010
Издательство: Springer
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Цена: 8384.00 р.
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Описание: "A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions.

Stochastic Calculus for Finance I

Автор: Shreve
Название: Stochastic Calculus for Finance I
ISBN: 0387401008 ISBN-13(EAN): 9780387401003
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;

Problems and Solutions in Mathematical Finance: Volume I - Stochastic Calculus

Автор: Chin Eric, Olafsson Sverrir, Nel Dian
Название: Problems and Solutions in Mathematical Finance: Volume I - Stochastic Calculus
ISBN: 1119965837 ISBN-13(EAN): 9781119965831
Издательство: Wiley
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Цена: 6653.00 р.
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Описание: Mathematical finance requires the use of advanced mathematical techniques drawn from the theory of probability, stochastic processes and stochastic differential equations. These areas are generally introduced and developed at an abstract level, making it problematic when applying these techniques to practical issues in finance.

Advanced Calculus: A Differential Forms Approach

Автор: Edwards Harold M.
Название: Advanced Calculus: A Differential Forms Approach
ISBN: 0817684115 ISBN-13(EAN): 9780817684112
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This soft cover reprint of the original 1994 edition begins by with a lucid review of differential forms and proceeds to fundamental theorems of calculus and Stokes` theorem. Covers differential forms in linear algebra, and more. Includes numerous exercises.

Advanced calculus of a single variable

Автор: Geveci, Tunc
Название: Advanced calculus of a single variable
ISBN: 3319278061 ISBN-13(EAN): 9783319278063
Издательство: Springer
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Цена: 9083.00 р.
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Описание: The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.

Advanced Calculus

Название: Advanced Calculus
ISBN: 9814583936 ISBN-13(EAN): 9789814583930
Издательство: World Scientific Publishing
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Цена: 3960.00 р.
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Описание: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

The Finite Volume Method in Computational Fluid Dynamics : An Advanced Introduction with OpenFOAM and MATLAB

Автор: Darwish, M. Mangani, L. Moukalled, F.
Название: The Finite Volume Method in Computational Fluid Dynamics : An Advanced Introduction with OpenFOAM and MATLAB
ISBN: 3319168738 ISBN-13(EAN): 9783319168739
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The Finite Volume Method in Computational Fluid Dynamics

Advanced Engineering Mathematics

Автор: Stroud K A
Название: Advanced Engineering Mathematics
ISBN: 0230275486 ISBN-13(EAN): 9780230275485
Издательство: Springer
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Цена: 9083.00 р.
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Описание: This bestselling textbook is a comprehensive course for undergraduates in engineering and science from second year level onwards. Its highly successful technique-oriented approach guides the student through the development of each topic. There are hundreds of worked examples and exercises. New material has been added throughout this edition.

Brownian Motion and Stochastic Calculus

Автор: Karatzas
Название: Brownian Motion and Stochastic Calculus
ISBN: 0387976558 ISBN-13(EAN): 9780387976556
Издательство: Springer
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Цена: 6981.00 р.
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Описание: This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). This book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises.

Topology, calculus and approximation

Автор: Komornik, Vilmos
Название: Topology, calculus and approximation
ISBN: 1447173155 ISBN-13(EAN): 9781447173151
Издательство: Springer
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Цена: 4890.00 р.
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Описание: Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejer, Stieltjes, and Turan.

The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Caratheodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations.
Students of both pure and applied mathematics, as well as physics and engineering should find this textbook useful. Only basic results of one-variable calculus and linear algebra are used, and simple yet pertinent examples and exercises illustrate the usefulness of most theorems. Many of these examples are new or difficult to locate in the literature, and so the original sources of most notions and results are given to help readers understand the development of the field.


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