Mathematics for Physicists: Introductory Concepts and Methods, Alexander Altland, Jan von Delft

Автор: Vargas Jose G
Название: Differential Geometry for Physicists and Mathematicians
ISBN: 981456639X ISBN-13(EAN): 9789814566391
Издательство: World Scientific Publishing
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Цена: 105600.00 T
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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: Albert S. Schwarz; Silvio Levy
Название: Topology for Physicists
ISBN: 3642081312 ISBN-13(EAN): 9783642081316
Издательство: Springer
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Цена: 130390.00 T
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Описание: But other subjects also play an important role: homology theory, fibration theory (and characteristic classes in particular), and also branches of mathematics that are not directly a part of topology, but which use topological methods in an essential way: for example, the theory of indices of elliptic operators and the theory of complex manifolds.

Автор: Emil De Souza Sanchez Filho
Название: Tensor Calculus for Engineers and Physicists
ISBN: 3319315196 ISBN-13(EAN): 9783319315195
Издательство: Springer
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Цена: 93160.00 T
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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.

Автор: Wang Huaiyu
Название: Mathematics For Physicists
ISBN: 9813148004 ISBN-13(EAN): 9789813148000
Издательство: World Scientific Publishing
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Цена: 77090.00 T
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Описание: This book covers the necessary aspects of mathematics for graduate students in physics and engineering. Advanced undergraduate students and researchers who intend to enter the field of theoretical physics can also pick up this book. The first eight chapters include variational method, Hilbert space and operators, ordinary linear differential equations, Bessel functions, Dirac delta function, the Green's function in mathematical physics, norm, integral equations. Beside these traditional contents, the last two chapters introduce some recent achievements of scientific research while presenting their mathematical background. Like the basis of number theory and its application in physics, material science and other scientific fields, the fundamental equations in spaces with arbitrary dimensions, not limited to Euclid space; Pseudo spherical coordinates. Plain terminologies were used to present the concept of metric, as well as new and interesting work on the Klein-Gorden equation and Maxwell equation.

Автор: Wang Huaiyu
Название: Mathematics For Physicists
ISBN: 9813146486 ISBN-13(EAN): 9789813146488
Издательство: World Scientific Publishing
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Цена: 129890.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers the necessary aspects of mathematics for graduate students in physics and engineering. Advanced undergraduate students and researchers who intend to enter the field of theoretical physics can also pick up this book. The first eight chapters include variational method, Hilbert space and operators, ordinary linear differential equations, Bessel functions, Dirac delta function, the Green's function in mathematical physics, norm, integral equations. Beside these traditional contents, the last two chapters introduce some recent achievements of scientific research while presenting their mathematical background. Like the basis of number theory and its application in physics, material science and other scientific fields, the fundamental equations in spaces with arbitrary dimensions, not limited to Euclid space; Pseudo spherical coordinates. Plain terminologies were used to present the concept of metric, as well as new and interesting work on the Klein-Gorden equation and Maxwell equation.

Автор: Nicolas A Pereyra
Название: Logic for Physicists
ISBN: 1643270176 ISBN-13(EAN): 9781643270173
Издательство: Mare Nostrum (Eurospan)
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Цена: 56370.00 T
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Описание: This book gives a rigorous yet 'physics-focused' introduction to mathematical logic that is geared towards natural science majors. We present the science major with a robust introduction to logic, focusing on the specific knowledge and skills that will unavoidably be needed in calculus topics and natural science topics in general (rather than taking a philosophical math fundamental oriented approach that is commonly found in mathematical logic textbooks).

Автор: Klaus Weltner; Sebastian John; Wolfgang J. Weber;
Название: Mathematics for Physicists and Engineers
ISBN: 3662502437 ISBN-13(EAN): 9783662502433
Издательство: Springer
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Цена: 51230.00 T
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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: Nicolas A Pereyra
Название: Logic for Physicists
ISBN: 1643270133 ISBN-13(EAN): 9781643270135
Издательство: Mare Nostrum (Eurospan)
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Цена: 36030.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives a rigorous yet 'physics-focused' introduction to mathematical logic that is geared towards natural science majors. We present the science major with a robust introduction to logic, focusing on the specific knowledge and skills that will unavoidably be needed in calculus topics and natural science topics in general (rather than taking a philosophical math fundamental oriented approach that is commonly found in mathematical logic textbooks).

Автор: Pietro Giuseppe Fre, Alexander Fedotov
Название: Groups and Manifolds: Lectures for Physicists with Examples in Mathematica
ISBN: 3110551195 ISBN-13(EAN): 9783110551198
Издательство: Walter de Gruyter
Цена: 99110.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions.

Автор: Petrini Michela
Название: Guide To Mathematical Methods For Physicists, A: With Proble
ISBN: 1786343444 ISBN-13(EAN): 9781786343444
Издательство: World Scientific Publishing
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Цена: 42240.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

Mathematics plays a fundamental role in the formulation of physical theories. This textbook provides a self-contained and rigorous presentation of the main mathematical tools needed in many fields of Physics, both classical and quantum. It covers topics treated in mathematics courses for final-year undergraduate and graduate physics programmes, including complex function: distributions, Fourier analysis, linear operators, Hilbert spaces and eigenvalue problems. The different topics are organised into two main parts -- complex analysis and vector spaces -- in order to stress how seemingly different mathematical tools, for instance the Fourier transform, eigenvalue problems or special functions, are all deeply interconnected. Also contained within each chapter are fully worked examples, problems and detailed solutions.

A companion volume covering more advanced topics that enlarge and deepen those treated here is also available.

Автор: Michela Petrini, Pradisi Gianfranco, Zaffaroni Alberto
Название: A Guide to Mathematical Methods for Physicists
ISBN: 178634548X ISBN-13(EAN): 9781786345486
Издательство: World Scientific Publishing
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Цена: 84480.00 T
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Описание:

This book provides a self-contained and rigorous presentation of the main mathematical tools needed to approach many courses at the last year of undergraduate in Physics and MSc programs, from Electromagnetism to Quantum Mechanics. It complements A Guide to Mathematical Methods for Physicists with advanced topics and physical applications. The different arguments are organised in three main sections: Complex Analysis, Differential Equations and Hilbert Spaces, covering most of the standard mathematical method tools in modern physics.

One of the purposes of the book is to show how seemingly different mathematical tools like, for instance, Fourier transforms, eigenvalue problems, special functions and so on, are all deeply interconnected. It contains a large number of examples, problems and detailed solutions, emphasising the main purpose of relating concrete physical examples with more formal mathematical aspects.

Автор: Petrini Michela, Pradisi Gianfranco, Zaffaroni Alberto
Название: A Guide to Mathematical Methods for Physicists: With Problems and Solutions
ISBN: 1786343436 ISBN-13(EAN): 9781786343437
Издательство: World Scientific Publishing
Рейтинг:
Цена: 85530.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

Mathematics plays a fundamental role in the formulation of physical theories. This textbook provides a self-contained and rigorous presentation of the main mathematical tools needed in many fields of Physics, both classical and quantum. It covers topics treated in mathematics courses for final-year undergraduate and graduate physics programmes, including complex function: distributions, Fourier analysis, linear operators, Hilbert spaces and eigenvalue problems. The different topics are organised into two main parts -- complex analysis and vector spaces -- in order to stress how seemingly different mathematical tools, for instance the Fourier transform, eigenvalue problems or special functions, are all deeply interconnected. Also contained within each chapter are fully worked examples, problems and detailed solutions.

A companion volume covering more advanced topics that enlarge and deepen those treated here is also available.