Analysis: A Gateway to Understanding Mathematics, Dineen Sean
Автор: Michael Ruzhansky, Hemen Dutta, Ravi P. Agarwal Название: Mathematical Analysis and Applications: Selected Topics ISBN: 1119414342 ISBN-13(EAN): 9781119414346 Издательство: Wiley Рейтинг: Цена: 18525.00 р. Наличие на складе: Поставка под заказ.
Описание: An authoritative text that presents the current problems, theories, and applications of mathematical analysis research
Mathematical Analysis and ApplicationsSelected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss-Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors--a noted team of international researchers in the field-- highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text:
Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc.
Contains chapters written by a group of esteemed researchers in mathematical analysis
Includes problems and research questions in order to enhance understanding of the information provided
Offers references that help readers advance to further study
Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and ApplicationsSelected Topics includes the most recent research from a range of mathematical fields.
Michael Ruzhansky, Ph.D., is Professor in the Department of Mathematics at Imperial College London, UK. Dr. Ruzhansky was awarded the Ferran Sunyer I Balaguer Prize in 2014.
Hemen Dutta, Ph.D., is Senior Assistant Professor of Mathematics at Gauhati University, India.
Ravi P. Agarwal, Ph.D., is Professor and Chair of the Department of Mathematics at Texas A&M University-Kingsville, Kingsville, USA.
Автор: Swartz Charles Название: Functional Calculi ISBN: 9814415979 ISBN-13(EAN): 9789814415972 Издательство: World Scientific Publishing Рейтинг: Цена: 12514.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows.
The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms.
There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching.
Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus.
Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided.
Автор: K?rner Название: Calculus for the Ambitious ISBN: 1107686741 ISBN-13(EAN): 9781107686748 Издательство: Cambridge Academ Рейтинг: Цена: 6019.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This short introduction is perfect for any 16- to 18-year-old, about to begin studies in mathematics, or anyone who would like to see a different account of the calculus from that given in the standard texts. Easy to read, this book will enthuse a new generation of mathematicians.
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
Автор: K?rner Название: Calculus for the Ambitious ISBN: 1107063922 ISBN-13(EAN): 9781107063921 Издательство: Cambridge Academ Рейтинг: Цена: 16790.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This short introduction is perfect for any 16- to 18-year-old, about to begin studies in mathematics, or anyone who would like to see a different account of the calculus from that given in the standard texts. Easy to read, this book will enthuse a new generation of mathematicians.
Автор: Stewart Ian Название: Complex Analysis ISBN: 110843679X ISBN-13(EAN): 9781108436793 Издательство: Cambridge Academ Рейтинг: Цена: 5702.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This new edition of a classic textbook develops complex analysis using simple topological ideas to translate visual intuition into formal arguments. With numerous examples and exercises, clear and direct proofs, and three new chapters including a view to the future of the subject, this is an invaluable companion for any complex analysis course.
Автор: Bruce J. West Название: Nature`s Patterns and the Fractional Calculus ISBN: 3110534118 ISBN-13(EAN): 9783110534115 Издательство: Walter de Gruyter Цена: 18586.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system's functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system's information gradient. Based on first principles, the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature, the book is of interest to researchers in applied mathematics, as well as, investigators in the natural, social, physical and life sciences.
Contents Complexity Empirical allometry Statistics, scaling and simulation Allometry theories Strange kinetics Fractional probability calculus
Автор: Ashlock Daniel Название: Fast Start Integral Calculus ISBN: 1681736500 ISBN-13(EAN): 9781681736501 Издательство: Mare Nostrum (Eurospan) Цена: 6237.00 р. Наличие на складе: Нет в наличии.
Описание:
This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums.
It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'H pital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.
Автор: Ashlock Daniel Название: Fast Start Differential Calculus ISBN: 1681736411 ISBN-13(EAN): 9781681736419 Издательство: Mare Nostrum (Eurospan) Цена: 6237.00 р. Наличие на складе: Нет в наличии.
Описание:
This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions.
It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.
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