Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers, Nguyen-Schдfer Hung, Schmidt Jan-Philip
Автор: Vargas Jose G Название: Differential Geometry for Physicists and Mathematicians ISBN: 981456639X ISBN-13(EAN): 9789814566391 Издательство: World Scientific Publishing Рейтинг: Цена: 15840.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative -- almost like a story being told -- that does not impede sophistication and deep results.It covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas of mathematics that are of interest to physicists and mathematicians, but are largely overlooked. Among these is Clifford Algebra and its uses in conjunction with differential forms and moving frames. It opens new research vistas that expand the subject matter.In an appendix on the classical theory of curves and surfaces, the author slashes not only the main proofs of the traditional approach, which uses vector calculus, but even existing treatments that also use differential forms for the same purpose.
Автор: Fecko Название: Differential Geometry and Lie Groups for Physicists ISBN: 0521187966 ISBN-13(EAN): 9780521187961 Издательство: Cambridge Academ Рейтинг: Цена: 10771.00 р. Наличие на складе: Заказано в издательстве.
Описание: Covering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical physics and mathematics. It develops understanding through over 1000 short exercises, and is suitable for advanced undergraduate or graduate courses in physics, mathematics and engineering.
Автор: Richard Herrmann Richard Название: Fractional Calculus: An Introduction for Physicists: 3rd Edition ISBN: 9813274573 ISBN-13(EAN): 9789813274570 Издательство: World Scientific Publishing Рейтинг: Цена: 33264.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'The third edition of this book is designed to carefully and coherently introduce fractional calculus to physicists, by applying the ideas to two distinct applications: classical problems and multi-particle quantum problems. There remain many open questions and the field remains an active area of research. Dr Herrmann (TM)s book is an excellent introduction to this field of study.'Contemporary PhysicsThe book presents a concise introduction to the basic methods and strategies in fractional calculus which enables the reader to catch up with the state-of-the-art in this field and to participate and contribute in the development of this exciting research area.This book is devoted to the application of fractional calculus on physical problems. The fractional concept is applied to subjects in classical mechanics, image processing, folded potentials in cluster physics, infrared spectroscopy, group theory, quantum mechanics, nuclear physics, hadron spectroscopy up to quantum field theory and will surprise the reader with new intriguing insights.This new, extended edition includes additional chapters about numerical solution of the fractional Schr dinger equation, self-similarity and the geometric interpretation of non-isotropic fractional differential operators. Motivated by the positive response, new exercises with elaborated solutions are added, which significantly support a deeper understanding of the general aspects of the theory.Besides students as well as researchers in this field, this book will also be useful as a supporting medium for teachers teaching courses devoted to this subject.
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.
Автор: de Souza Sбnchez Filho Emil Название: Tensor Calculus for Engineers and Physicists ISBN: 3319810561 ISBN-13(EAN): 9783319810560 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Chapter 1. Fundamental Concepts
1.1. Basic Concepts
1.2. N Dimensional Spaces
1.3. Homogeneous and Isotropic Spaces
1.4. Kronecker Delta
1.5. Metric Tensor
1.6. Angle between Curves
1.7. Some Useful Formulas
Chapter 2. Covariant, Absolute and Contravariant Differentiation
2.1. Initial Notes
2.2. Cartesian Tensor Differentiation
2.3. Base Vectors Differentiation
2.4. Christoffel Symbols
2.5. Covariant Differentiation
2.5.1. Contravariant Tensor
2.5.2. Covariant Tensor
2.5.3. Mixed Tensor
2.5.4. Covariant Differentiation: Addition and Product of Tensors
2.5.5. Covariant Differentiation of the Tensors
2.5.6. Particularities of the Covariant Derivative
2.6. Covariant Differentiation of the Relative Tensors
2.7. Intrinsic or Absolute Differentiation
2.8. Contravariant Differentiation
Chapter 3. Integral Theorems
3.1. Initial Concepts
3.2. Green Theorem
3.3. Stokes Theorem
3.4. Gauss-Ostrogadsky Theorem
Chapter 4. Differential Operators
4.1. Scalar, Vectorial and Tensorial Fields
4.2. Gradient
4.3. Divergent
4.4 Curl
4.5. Successive Applications of the Nabla Operator
Описание: Introduces students of engineering and physics to those areas of mathematics which, from a modern point of view, are important in relation to practical problems. The chapters in this book deal with various aspects and applications of vectors and matrices - important tools for solving physical and engineering systems.
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.
Автор: Alexander Altland, Jan von Delft Название: Mathematics for Physicists: Introductory Concepts and Methods ISBN: 1108471226 ISBN-13(EAN): 9781108471220 Издательство: Cambridge Academ Рейтинг: Цена: 7286.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduces all the mathematics needed in the undergraduate physics curriculum. Theoretical mathematical concepts and practical computational methods are presented in unison and from a physically motivated perspective, making even advanced mathematics tangible. Includes many worked examples and over 300 problems, half with fully worked solutions.
Автор: Andrey Grozin Название: Introduction to Mathematica® for Physicists ISBN: 3319008935 ISBN-13(EAN): 9783319008936 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book uses examples from physical sciences to illustrate the value of Mathematica. After reading this book and solving problems in it, the reader will be able to use Mathematica efficiently for solving his/her own problems.
Автор: Andrey Grozin Название: Introduction to Mathematica® for Physicists ISBN: 3319032844 ISBN-13(EAN): 9783319032849 Издательство: Springer Рейтинг: Цена: 7182.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book uses examples from physical sciences to illustrate the value of Mathematica. After reading this book and solving problems in it, the reader will be able to use Mathematica efficiently for solving his/her own problems.
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.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
