Calculus: concepts and connections with olc bi-card, Smith
Автор: Ken Binmore, Davies J. Название: Calculus: Concepts and methods, 2nd ed. ISBN: 0521775418 ISBN-13(EAN): 9780521775410 Издательство: Cambridge Academ Рейтинг: Цена: 5515 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The pebbles used in ancient abacuses gave their name to the calculus, which today is a fundamental tool in business, economics, engineering and the sciences. This introductory book 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. Ideas from univariate calculus and linear algebra are covered as needed, often from a new perspective. They are reinforced in the two-dimensional case, which is studied in detail before generalisation to higher dimensions. Although there are no theorems or formal proofs, this is a serious book in which conceptual issues are explained carefully using numerous geometric devices and a wealth of worked examples, diagrams and exercises. Mathematica has been used to generate many beautiful and accurate, full-colour illustrations to help students visualise complex mathematical objects. This adds to the accessibility of the text, which will appeal to a wide audience among students of mathematics, economics and science.
Описание: Provides a "friendly" approach to calculus by utilizing two organizing principles. This text breaks down main topics of calculus into five components such as: motivation, definition, notation, computational techniques, and applications. It explains a three-step process for attacking problems in the subject: approximation, refinement, and limit.
Описание: Conventional calculus is too hard and too complex. Students are forced to learn too many theorems and proofs. In "Free Calculus", the author suggests a
direct approach to the two fundamental concepts of calculus - differentiation and integration - using two inequalities.
Regular calculus is condensed into a single concise
chapter. This makes the teaching of physics in step with the calculus teaching.
This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”. This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches.
The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.
Автор: Paris, Alessandro De Vinogradov, Alexandre M. Название: Fat manifolds and linear connections ISBN: 9812819045 ISBN-13(EAN): 9789812819048 Издательство: World Scientific Publishing Рейтинг: Цена: 11779 р. Наличие на складе: Поставка под заказ.
Описание: The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but also in mathematical and theoretical physics (general relativity, gauge fields, mechanics of continuum media). This book presents the theory of linear connections as a natural part of differential calculus over commutative algebras.
Автор: Smith; Minton Название: Calculus (update) with olc bi-card ISBN: 0071248064 ISBN-13(EAN): 9780071248068 Издательство: McGraw-Hill Цена: 3761 р. Наличие на складе: Поставка под заказ.
Описание: The wide-ranging debate brought about by the calculus reform movement has had a significant impact on calculus textbooks. In response to many of the questions and concerns surrounding this debate, the authors have written a modern calculus textbook, intended for students majoring in mathematics, physics,emistry, engineering and related fields. The text is written for the average student - one who does not already know the subject, whose background is somewhat weak in spots, and who requires a significant motivation to study calculus. The authors follow a relatively standard order of presentation, while integrating technology and thought-provoking exercises throughout the text. Some minor changes have been made in the order of topics to reflect shifts in the importance of certain applications in engineering and science. This text also gives an early introduction to logarithms, exponentials and the trigonometric functions. Wherever practical, concepts are developed from graphical, numerical, and algebraic perspectives (the "Rule of Three") to give students a full understanding of calculus. This text places a significant emphasis on problem solving and presents realistic applications, as well as open-ended problems.
Описание: This modern calculus textbook places a strong emphasis on developing students' conceptual understanding and on building connections between key calculus topics and their relevance for the real world. It is written for the average student - one who is mostly unfamiliar with the subject and who requires significant motivation. It follows a relatively standard order of presentation, with early coverage of transcendentals, and integrates thought-provoking applications, examples and exercises throughout. The text also provides balanced guidance on the appropriate role of technology in problem-solving, including its benefits and its potential pitfalls. Wherever practical, concepts are developed from graphical, numerical, algebraic and verbal perspectives (the "Rule of Four") to give students a complete understanding of calculus.
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