Автор: Toni Название: 100+1 Problems in Advanced Calculus ISBN: 3030918653 ISBN-13(EAN): 9783030918651 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book convenes a collection of carefully selected problems in mathematical analysis, crafted to achieve maximum synergy between analytic geometry and algebra and favoring mathematical creativity in contrast to mere repetitive techniques. With eight chapters, this work guides the student through the basic principles of the subject, with a level of complexity that requires good use of imagination. In this work, all the fundamental concepts seen in a first-year Calculus course are covered. Problems touch on topics like inequalities, elementary point-set topology, limits of real-valued functions, differentiation, classical theorems of differential calculus (Rolle, Lagrange, Cauchy, and l’Hospital), graphs of functions, and Riemann integrals and antiderivatives. Every chapter starts with a theoretical background, in which relevant definitions and theorems are provided; then, related problems are presented. Formalism is kept at a minimum, and solutions can be found at the end of each chapter. Instructors and students of Mathematical Analysis, Calculus and Advanced Calculus aimed at first-year undergraduates in Mathematics, Physics and Engineering courses can greatly benefit from this book, which can also serve as a rich supplement to any traditional textbook on these subjects as well.
Автор: Viana Название: Lectures on Lyapunov Exponents ISBN: 1107081734 ISBN-13(EAN): 9781107081734 Издательство: Cambridge Academ Рейтинг: Цена: 47510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.
Автор: Lizhen Ji Название: Hodge Theory and L?-analysis ISBN: 1571463518 ISBN-13(EAN): 9781571463517 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 44350.00 T Наличие на складе: Невозможна поставка. Описание: This volume consists of survey papers and introductions pertaining to Hodge theory, variation of Hodge structures, L(2)-methods in complex analysis and geometry, and related results in algebraic geometry. Contributors include some of the world`s leading experts: Ayoub, Bierstone, Griffiths, M. Green, Hain, and Ohsawa.
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.
Автор: Karatzas Название: Brownian Motion and Stochastic Calculus ISBN: 0387976558 ISBN-13(EAN): 9780387976556 Издательство: Springer Рейтинг: Цена: 46540.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Botelho Fabio Silva Название: Advanced Calculus and Its Applications in Variational Quantum Mechanics and Relativity Theory ISBN: 036774645X ISBN-13(EAN): 9780367746452 Издательство: Taylor&Francis Рейтинг: Цена: 153120.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The approach presented includes detailed and rigorous studies on surfaces in Rn which comprises items such as differential forms and an abstract version of the Stokes Theorem in Rn. The conclusion section introduces readers to Riemannian geometry, which is used in the subsequent chapters.
Автор: Edwards Harold M. Название: Advanced Calculus: A Differential Forms Approach ISBN: 0817684115 ISBN-13(EAN): 9780817684112 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
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: 126720.00 T 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.
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: 96090.00 T 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.
Автор: Nazarov Alexander I, Poborchi Sergei Название: Poincare Inequality And Its Applications To Pde: An Advanced Textbook ISBN: 9814725870 ISBN-13(EAN): 9789814725873 Издательство: World Scientific Publishing Рейтинг: Цена: 65470.00 T Наличие на складе: Нет в наличии. Описание: This book presents an introduction to the theory of Sobolev spaces that is a fundamental tool in the modern study of partial differential equations. The authors' approach is based on the Poincare inequality and demonstrates its importance in function theory and in the theory of PDEs.
Автор: Yanpei Liu Название: Combinatorial Functional Equations: Advanced Theory ISBN: 3110624354 ISBN-13(EAN): 9783110624359 Издательство: Walter de Gruyter Цена: 223090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This two-volume set presents combinatorial functional equations using an algebraic approach, and illustrates their applications in combinatorial maps, graphs, networks, etc. The second volume mainly presents several kinds of meson functional equations which are divided into three types: outer, inner and surface. It is suited for a wide readership, including pure and applied mathematicians, and also computer scientists.
Автор: Cao, Daomin (chinese Academy Of Sciences, Beijing) Peng, Shuangjie Yan, Shusen Название: Singularly perturbed methods for nonlinear elliptic problems ISBN: 1108836836 ISBN-13(EAN): 9781108836838 Издательство: Cambridge Academ Рейтинг: Цена: 66530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book introduces singularly perturbed methods in a self-contained manner by investigating two relatively simple but typical non-compact elliptic problems. Avoiding using too many sophisticated estimates, this book is written for PhD students and junior mathematicians who plan to do their research in the area of elliptic differential equations.
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