This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
The book is divided into eight parts: The first covers finite- dimensional vector spaces and the linear operators defined on them. The second is devoted to infinite-dimensional vector spaces, and includes discussions of the classical orthogonal polynomials and of Fourier series and transforms. The third part deals with complex analysis, including complex series and their convergence, the calculus of residues, multivalued functions, and analytic continuation. Part IV treats ordinary differential equations, concentrating on second-order equations and discussing both analytical and numerical methods of solution. The next part deals with operator theory, focusing on integral and Sturm--Liouville operators. Part VI is devoted to Green's functions, both for ordinary differential equations and in multidimensional spaces. Parts VII and VIII contain a thorough discussion of differential geometry and Lie groups and their applications, concluding with Noether's theorem on the relationship between symmetries and conservation laws.
Intended for advanced undergraduates or beginning graduate students, this comprehensive guide should also prove useful as a refresher or reference for physicists and applied mathematicians. Over 300 worked-out examples and more than 800 problems provide valuable learning aids.
Numerous enhancements and revision are incorporated into this new edition. For example, fiber bundle techniques are used to introduce differential geometry. This more elegant and intuitive approach naturally connects differential geometry with not only the general theory of relativity, but also gauge theories of fundamental forces.
Some praise for the previous edition:
PAGEOPH Pure and Applied Geophysics]
Review by Daniel Wojcik, University of Maryland
"This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. ... I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers."
ZENTRALBLATT MATH
Review by G.Roepstorff, University of Aachen, Germany
..". Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. ... A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. ... For the physics studen
Автор: Walecka John Dirk Название: Advanced Modern Physics: Theoretical Foundations ISBN: 9814291528 ISBN-13(EAN): 9789814291521 Издательство: World Scientific Publishing Рейтинг: Цена: 8554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Our understanding of the physical world was revolutionized in the twentieth century - the era of modern physics. This book, aimed at the very best students, extends the coverage of the theoretical groundwork of today`s physics presented in the previous volume: "Introduction to Modern Physics: Theoretical Foundations (Vol I)".
Автор: Walecka John Dirk Название: Advanced Modern Physics: Theoretical Foundations ISBN: 981429151X ISBN-13(EAN): 9789814291514 Издательство: World Scientific Publishing Рейтинг: Цена: 14256.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Our understanding of the physical world was revolutionized in the twentieth century - the era of modern physics. This book, aimed at the very best students, extends the coverage of the theoretical groundwork of today`s physics presented in the previous volume: "Introduction to Modern Physics: Theoretical Foundations (Vol I)".
Название: Theoretical Foundations of Macroeconomic Policy ISBN: 1138645842 ISBN-13(EAN): 9781138645844 Издательство: Taylor&Francis Рейтинг: Цена: 24499.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The recent economic events driven by the great financial crisis of 2007-08 has challenged some "dogma," highlighting various limits and drawbacks of current paradigms. The crisis showed the limitations of monetary policy and led to a revaluation of what levels of public debt can be considered safe. This volume aims to refresh the debate on some important long-run macroeconomic issues from new and fresh perspectives.
Theoretical Foundations of Macroeconomic Policy raises a number of questions relating to the challenges faced by macroeconomic theory and policies. The common line is the long run and policy perspective. The first part of the book is devoted to the theory of growth and productivity. The second part concentrates on long-run effects of fiscal and monetary policy. Specifically, topics investigated by the international range of authors are the theory of optimal growth, the productivity policies and production function estimations, demand- vs. supply- driven growth, optimal debt default and the incompleteness of financial markets, the long-run optimal inflation target and its relationship with public finance, the long term effects of government budget constraints on growth, and effect on optimal policies in non-market clearing environment.
The book will be of interest to postgraduates, researchers, and academics studying macroeconomics and fiscal policies.
Автор: Walecka John Dirk Название: Topics In Modern Physics: Theoretical Foundations ISBN: 9814436887 ISBN-13(EAN): 9789814436885 Издательство: World Scientific Publishing Рейтинг: Цена: 11563.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: While the two previous books entitled Introduction to Modern Physics: Theoretical Foundations and Advanced Modern Physics: Theoretical Foundations exposed the reader to the foundations and frontiers of today's physics, the goal of this third volume is to cover in some detail several topics omitted in the essentially linear progression of the first two.This book is divided into three parts. Part 1 is on quantum mechanics. Analytic solutions to the Schr dinger equation are developed for some basic systems. The analysis is then formalized, concluding with a set of postulates for the theory. Part 2 is on applications of quantum mechanics: approximation methods for bound states, scattering theory, time-dependent perturbation theory, and electromagnetic radiation and quantum electrodynamics. Part 3 covers some selected topics in relativistic quantum field theory: discrete symmetries, the Heisenberg picture, and the Feynman rules for quantum chromodynamics.The three volumes in this series taken together provide a clear, logical, self-contained, and comprehensive base from which the very best students can learn modern physics. When finished, readers should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.
Автор: Amador Kane, Suzanne Donaldson, Nancy Gelman, Boris Название: Introduction to Physics in Modern Medicine, Second Edition ISBN: 1584889438 ISBN-13(EAN): 9781584889434 Издательство: Taylor&Francis Рейтинг: Цена: 7961.00 р. Наличие на складе: Поставка под заказ.
Описание: Provides medical and physics students with an exploration of the physics-related applications found in medical centers. With an emphasis on digital imaging and computers in medicine, the text gives readers a fundamental understanding of the practical application of each.
Автор: Yang, F. Название: Modern Atomic and Nuclear Physics ISBN: 9814307688 ISBN-13(EAN): 9789814307680 Издательство: World Scientific Publishing Рейтинг: Цена: 1841.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A problems and solutions manual that is intended as a companion to an earlier textbook, "Modern Atomic and Nuclear Physics" (Revised Edition) (World Scientific, 2010). It presents solutions to many end-of-chapter problems in the textbook. These solutions are useful to the instructors and students working in the modern atomic field.
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