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Advanced Calculus, Petrovic, John


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Автор: Petrovic, John
Название:  Advanced Calculus
ISBN: 9781138568211
Издательство: Taylor&Francis
Классификация:

ISBN-10: 113856821X
Обложка/Формат: Hardcover
Страницы: 608
Вес: 1.20 кг.
Дата издания: 21.05.2020
Серия: Textbooks in Mathematics
Язык: English
Издание: 2 ed
Иллюстрации: 25 illustrations, black and white
Размер: 184 x 261 x 39
Читательская аудитория: Tertiary education (us: college)
Основная тема: Analysis - Mathematics
Подзаголовок: Theory and Practice
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Европейский союз
Описание:

Advanced Calculus: Theory and Practice, Second Edition offers a text for a one- or two-semester course on advanced calculus or analysis. 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 explains how various topics in calculus may seem unrelated but 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.

Features of the Second Edition:

  • Improved Organization. Chapters are reorganized to address common preferences.
  • Enhanced Coverage of Axiomatic Systems. A section is added to include Peanos system of axioms for the set of natural numbers and their use in developing the well-known properties of the set N.
  • Expanded and Organized Exercise Collection. There are close to 1,000 new exercises, many of them with solutions or hints. Exercises are classified based on the level of difficulty. Computation-oriented exercises are paired and solutions or hints provided for the odd-numbered questions.
  • Enrichment Material. Historical facts and biographies of over 60 mathematicians.
  • Illustrations. Thirty-five new illustrations are added in order to guide students through examples or proofs.

About the Author:

John Srdjan Petrovic is a professor at Western Michigan University.




      Старое издание

Calculus

Автор: Spivak Michael
Название: Calculus
ISBN: 0521867444 ISBN-13(EAN): 9780521867443
Издательство: Cambridge Academ
Рейтинг:
Цена: 7762.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.

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
Рейтинг:
Цена: 9661.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.

Advanced Calculus

Автор: Widder David V
Название: Advanced Calculus
ISBN: 1607964945 ISBN-13(EAN): 9781607964940
Издательство: Неизвестно
Рейтинг:
Цена: 5516.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Advanced Calculus

Название: Advanced Calculus
ISBN: 9814583936 ISBN-13(EAN): 9789814583930
Издательство: World Scientific Publishing
Рейтинг:
Цена: 3960.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.

Advanced Calculus: Differential Calculus and Stokes` Theorem

Автор: Pietro-Luciano Buono
Название: Advanced Calculus: Differential Calculus and Stokes` Theorem
ISBN: 3110438216 ISBN-13(EAN): 9783110438215
Издательство: Walter de Gruyter
Цена: 6499.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green’s, Stokes’ and Gauss’ theorems. Furthermore, the presentation offers a natural route to differential geometry. Contents:Calculus of Vector FunctionsTangent Spaces and 1-formsLine IntegralsDifferential Calculus of MappingsApplications of Differential CalculusDouble and Triple IntegralsWedge Products and Exterior DerivativesIntegration of FormsStokes’ Theorem and Applications

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
Рейтинг:
Цена: 9756.00 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 Courses Of Mathematical Analysis V - Proceedings Of The Fifth International School

Автор: Pascual Juan Carlos Navarro & Kaidi El Amin
Название: Advanced Courses Of Mathematical Analysis V - Proceedings Of The Fifth International School
ISBN: 9814699683 ISBN-13(EAN): 9789814699686
Издательство: World Scientific Publishing
Цена: 19008.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This volume contains recent papers by several specialists in different fields of mathematical analysis. It offers a reasonably wide perspective of the current state of research, and new trends, in areas related to measure theory, harmonic analysis, non-associative structures in functional analysis and summability in locally convex spaces.

Problems And Solutions In Introductory And Advanced Matrix Calculus (Second Edition)

Автор: Steeb Willi-Hans & Hardy Yorick
Название: Problems And Solutions In Introductory And Advanced Matrix Calculus (Second Edition)
ISBN: 9813143789 ISBN-13(EAN): 9789813143784
Издательство: World Scientific Publishing
Цена: 19483.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices, Kronecker product and vec-operation as well as functions of matrices. Furthermore, specialized topics such as spectral theorem, nonnormal matrices and mutually unbiased bases are included. Many of the problems are related to applications for group theory, Lie algebra theory, wavelets, graph theory and matrix-valued differential forms, benefitting physics and engineering students and researchers alike. It also branches out to problems with tensors and the hyperdeterminant. Computer algebra programs in Maxima and SymbolicC++ have also been provided.

Problems And Solutions In Introductory And Advanced Matrix Calculus (Second Edition)

Автор: Steeb Willi-Hans & Hardy Yorick
Название: Problems And Solutions In Introductory And Advanced Matrix Calculus (Second Edition)
ISBN: 9813143797 ISBN-13(EAN): 9789813143791
Издательство: World Scientific Publishing
Цена: 8870.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices, Kronecker product and vec-operation as well as functions of matrices. Furthermore, specialized topics such as spectral theorem, nonnormal matrices and mutually unbiased bases are included. Many of the problems are related to applications for group theory, Lie algebra theory, wavelets, graph theory and matrix-valued differential forms, benefitting physics and engineering students and researchers alike. It also branches out to problems with tensors and the hyperdeterminant. Computer algebra programs in Maxima and SymbolicC++ have also been provided.

Advanced Courses Of Mathematical Analysis Vi - Proceedings Of The Sixth International School

Автор: Martin-Reyes Francisco Javier Et Al
Название: Advanced Courses Of Mathematical Analysis Vi - Proceedings Of The Sixth International School
ISBN: 9813147636 ISBN-13(EAN): 9789813147638
Издательство: World Scientific Publishing
Цена: 14414.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis. It offers a wide perspective of the current state of research, and new trends, in areas related to Geometric Analysis, Harmonic Analysis, Complex Analysis, Functional Analysis and History of Mathematics. The contributions are presented with a remarkable expository nature and this makes the discussed topics accessible to a more general audience.


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