Tensor Calculus for Engineers and Physicists, de Souza Sбnchez Filho Emil
Автор: Emil De Souza Sanchez Filho Название: Tensor Calculus for Engineers and Physicists ISBN: 3319315196 ISBN-13(EAN): 9783319315195 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces.
The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors.
Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.
Описание: This book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors, differential geometry, and differential forms; and to apply them to the physical and engineering world. Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics (CFD), and continuum mechanics. The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers.
General Basis and Bra-Ket Notation.- Tensor Analysis.- Elementary Differential Geometry.- Differential Forms.- Applications of Tensors and Differential Geometry.- Tensors and Bra-Ket Notation in Quantum Mechanics.- Appendices.
Автор: Arak M. Mathai, Hans J. Haubold Название: Linear Algebra: A Course for Physicists and Engineers ISBN: 3110562359 ISBN-13(EAN): 9783110562354 Издательство: Walter de Gruyter Цена: 7987.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In order not to intimidate students by a too abstract approach, this textbook on linear algebra is written to be easy to digest by non-mathematicians. It introduces the concepts of vector spaces and mappings between them without dwelling on statements such as theorems and proofs too much. It is also designed to be self-contained, so no other material is required for an understanding of the topics covered. As the basis for courses on space and atmospheric science, remote sensing, geographic information systems, meteorology, climate and satellite communications at UN-affiliated regional centers, various applications of the formal theory are discussed as well. These include differential equations, statistics, optimization and some engineering-motivated problems in physics. ContentsVectorsMatricesDeterminantsEigenvalues and eigenvectorsSome applications of matrices and determinantsMatrix series and additional properties of matrices
Автор: Misra Ram Bilas Название: Mathematics for Engineers and Physicists, Part 3 ISBN: 1925823644 ISBN-13(EAN): 9781925823646 Издательство: Неизвестно Рейтинг: Цена: 15035.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Misra Ram Bilas Название: Mathematics for Engineers and Physicists: Part 1 ISBN: 1925823512 ISBN-13(EAN): 9781925823516 Издательство: Неизвестно Рейтинг: Цена: 16691.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Misra Ram Bilas Название: Mathematics for Engineers and Physicists: Part 2 ISBN: 1925823539 ISBN-13(EAN): 9781925823530 Издательство: Неизвестно Рейтинг: Цена: 16691.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Arak M. Mathai, Hans J. Haubold Название: Probability and Statistics: A Course for Physicists and Engineers ISBN: 3110562537 ISBN-13(EAN): 9783110562538 Издательство: Walter de Gruyter Цена: 7987.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers an introduction to concepts of probability theory, probability distributions relevant in the applied sciences, as well as basics of sampling distributions, estimation and hypothesis testing. As a companion for classes for engineers and scientists, the book also covers applied topics such as model building and experiment design. ContentsRandom phenomenaProbabilityRandom variablesExpected valuesCommonly used discrete distributionsCommonly used density functionsJoint distributionsSome multivariate distributionsCollection of random variablesSampling distributionsEstimationInterval estimationTests of statistical hypothesesModel building and regressionDesign of experiments and analysis of varianceQuestions and answers
Автор: Marc Potters, Jean-Philippe Bouchaud Название: A First Course in Random Matrix Theory ISBN: 1108488080 ISBN-13(EAN): 9781108488082 Издательство: Cambridge Academ Рейтинг: Цена: 9186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Classical statistical tools that handled real-life data have become inadequate upon the emergence of Big Data. Random matrix theory and free calculus introduced here present valuable solutions to the complex challenges posed by large datasets. Real world applications make it an essential tool for physicists, engineers, data analysts and economists.
Introduces the fundamentals of numerical mathematics and illustrates its applications to a wide variety of disciplines in physics and engineering
Applying numerical mathematics to solve scientific problems, this book helps readers understand the mathematical and algorithmic elements that lie beneath numerical and computational methodologies in order to determine the suitability of certain techniques for solving a given problem. It also contains examples related to problems arising in classical mechanics, thermodynamics, electricity, and quantum physics.
Fundamentals of Numerical Mathematics for Physicists andEngineers is presented in two parts. Part I addresses the root finding of univariate transcendental equations, polynomial interpolation, numerical differentiation, and numerical integration. Part II examines slightly more advanced topics such as introductory numerical linear algebra, parameter dependent systems of nonlinear equations, numerical Fourier analysis, and ordinary differential equations (initial value problems and univariate boundary value problems). Chapters cover: Newton's method, Lebesgue constants, conditioning, barycentric interpolatory formula, Clenshaw-Curtis quadrature, GMRES matrix-free Krylov linear solvers, homotopy (numerical continuation), differentiation matrices for boundary value problems, Runge-Kutta and linear multistep formulas for initial value problems. Each section concludes with Matlab hands-on computer practicals and problem and exercise sets. This book:
Provides a modern perspective of numerical mathematics by introducing top-notch techniques currently used by numerical analysts
Contains two parts, each of which has been designed as a one-semester course
Includes computational practicals in Matlab (with solutions) at the end of each section for the instructor to monitor the student's progress through potential exams or short projects
Contains problem and exercise sets (also with solutions) at the end of each section
Fundamentals of Numerical Mathematics for Physicists andEngineers is an excellent book for advanced undergraduate or graduate students in physics, mathematics, or engineering. It will also benefit students in other scientific fields in which numerical methods may be required such as chemistry or biology.
Автор: Klaus Weltner; Sebastian John; Wolfgang J. Weber; Название: Mathematics for Physicists and Engineers ISBN: 3662502437 ISBN-13(EAN): 9783662502433 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In its new edition, this book offers an all-new chapter on Fourier integrals and Fourier transforms, plus numerous updates to existing material, 30 new problems with solutions and a substantial update to the contents of the online interactive study guide.
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