The book assists Calculus students to gain a better understanding and command of integration and its applications. It reaches to students in more advanced courses such as Multivariable Calculus, Differential Equations, and Analysis, where the ability to effectively integrate is essential for their success.
Keeping the reader constantly focused on the three principal epistemological questions: "What for?," "Why?," and "How?," the book is designated as a supplementary instructional tool and consists of
9 Chapters treating the three kinds of integral: indefinite, definite, and improper. Also covering various aspects of integral calculus from abstract definitions and theorems (with complete proof whenever appropriate) through various integration techniques to applications,
3 Appendices containing a table of basic integrals, reduction formulas, and basic identities of algebra and trigonometry.
It also contains
143 Examples, including 112 thoughtfully selected Problems with complete step-by-step solutions, the same problem occasionally solved in more than one way while encouraging the reader to find the most efficient integration path, and
6 Exercises, 162 Practice Problems offered at the end of each chapter starting with Chapter 2 as well as 30 Mixed Integration Problems "for dessert," where the reader is expected to independently choose and implement the best possible integration approach.
The Answers to all the 192 Problems are provided in the Answer Key. The book will benefit undergraduates, advanced undergraduates, and members of the public with an interest in science and technology, helping them to master techniques of integration at the level expected in a calculus course.
The book assists Calculus students to gain a better understanding and command of integration and its applications. It reaches to students in more advanced courses such as Multivariable Calculus, Differential Equations, and Analysis, where the ability to effectively integrate is essential for their success.
Keeping the reader constantly focused on the three principal epistemological questions: "What for?", "Why?", and "How?", the book is designated as a supplementary instructional tool and consists of
9 Chapters treating the three kinds of integral: indefinite, definite, and improper. Also covering various aspects of integral calculus from abstract definitions and theorems (with complete proof whenever appropriate) through various integration techniques to applications,
3 Appendices containing a table of basic integrals, reduction formulas, and basic identities of algebra and trigonometry.
It also contains
143 Examples, including 112 thoughtfully selected Problems with complete step-by-step solutions, the same problem occasionally solved in more than one way while encouraging the reader to find the most efficient integration path, and
6 Exercises, 162 Practice Problems offered at the end of each chapter starting with Chapter 2 as well as 30 Mixed Integration Problems "for dessert", where the reader is expected to independently choose and implement the best possible integration approach.
The Answers to all the 192 Problems are provided in the Answer Key. The book will benefit undergraduates, advanced undergraduates, and members of the public with an interest in science and technology, helping them to master techniques of integration at the level expected in a calculus course.
Автор: Corneliu Constantinescu; Alexia Sontag; Wolfgang F Название: Advanced Integration Theory ISBN: 9401037396 ISBN-13(EAN): 9789401037396 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Since about 1915 integration theory has consisted of two separate branches: the abstract theory required by probabilists and the theory, preferred by analysts, that combines integration and topology.
Автор: Sever S. Dragomir; Themistocles RASSIAS Название: Ostrowski Type Inequalities and Applications in Numerical Integration ISBN: 9048159903 ISBN-13(EAN): 9789048159901 Издательство: Springer Рейтинг: Цена: 18866.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It was noted in the preface of the book "Inequalities Involving Functions and Their Integrals and Derivatives", Kluwer Academic Publishers, 1991, by D.S.
Автор: Guillermo Curbera; Gerd Mockenhaupt; Werner J. Ric Название: Vector Measures, Integration and Related Topics ISBN: 3034602103 ISBN-13(EAN): 9783034602105 Издательство: Springer Рейтинг: Цена: 23757.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: papers represent rather well most of the topics covered in the conference.
Автор: Heinz K?nig Название: Measure and Integration ISBN: 3034807554 ISBN-13(EAN): 9783034807555 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This collection of Heinz Koenig`s publications connects to his book of 1997 "Measure and Integration" and presents significant developments in the subject from then up to the present day. 2, 319-323, 2012), and Measure and integration: the basic extension and representation theorems in terms of new inner and outer envelopes (Indag.
Описание: Using classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock - Kurzweil and McShane, this book shows how new theories of integration were developed to solve problems that earlier integration theories could not handle.
Автор: McShane Edward J. Название: Integration ISBN: 0691625751 ISBN-13(EAN): 9780691625751 Издательство: Wiley Рейтинг: Цена: 10296.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Book 7 in the Princeton Mathematical Series. Originally published in 1961. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting
Автор: Watson Название: Complex Integration and Cauchy`s Theorem ISBN: 1107493951 ISBN-13(EAN): 9781107493957 Издательство: Cambridge Academ Рейтинг: Цена: 3008.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: David Spring Название: Convex Integration Theory ISBN: 376435805X ISBN-13(EAN): 9783764358051 Издательство: Springer Рейтинг: Цена: 18161.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides a comprehensive study of convex integration theory in immersion-theoretic topology. This book presents a record and exposition of the basic concepts and technical results of convex integration theory in higher order jet spaces, including the theory of iterated convex hull extensions and the theory of relative h-principles.
Название: Course on Integration Theory ISBN: 3034806930 ISBN-13(EAN): 9783034806930 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Caratheodory Theorem.
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