Nonlinear Mathematical Physics and Natural Hazards, Boyka Aneva; Mihaela Kouteva-Guentcheva
Автор: Sadri Hassani Название: Mathematical Physics: A Modern Introduction To Its Foundations ISBN: 3319011944 ISBN-13(EAN): 9783319011943 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
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: Steeb Willi-Hans Название: Problems And Solutions In Theoretical And Mathematical Physics - Volume I: Introductory Level (Third Edition) ISBN: 9814282146 ISBN-13(EAN): 9789814282147 Издательство: World Scientific Publishing Рейтинг: Цена: 51750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. This work covers the techniques and methods in theoretical and mathematical physics.
Автор: Steeb Willi-Hans Название: Problems And Solutions In Theoretical And Mathematical Physics - Volume I: Introductory Level (Third Edition) ISBN: 9814282154 ISBN-13(EAN): 9789814282154 Издательство: World Scientific Publishing Рейтинг: Цена: 30630.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Provides a comprehensive collection of problems together with their detailed solutions in the field of Theoretical and Mathematical Physics. This book covers the techniques and methods in theoretical and mathematical physics.
Автор: Boyka Aneva; Mihaela Kouteva-Guentcheva Название: Nonlinear Mathematical Physics and Natural Hazards ISBN: 3319143271 ISBN-13(EAN): 9783319143279 Издательство: Springer Рейтинг: Цена: 130610.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Foreword.- Preface.- Part I Nonlinear Mathematical Physics towards Critical Phenomena.- Predictions and Correlations in Self-Organised Criticality.- The Space-time Structure of Extreme Current and Activity Events in the ASEP.- Quantum Spin Chains and Integrable Many-Body Systems of Classical Mechanics.- Discriminantly Separable Polynomials and their Applications.- MKdV-type of Equations Related to and .- Chaotic versus Regular Behavior in Yang-Mills Theories.- Part II Seismic Hazard and Risk.- A New Probabilistic Shift away from Seismic Hazard Reality in Italy ? .- Steps in Seismic Risk Mapping for the Romanian Capital City.- Romanian Seismic Network since 1980 to the Present.- Seismic Monitoring and Data Processing in Seismological Observation in Seismological Observatory in Skopje - Republic of Macedonia - Basis for Complex Geophysical Research.
Автор: Ammari Habib Et Al Название: Recent Developments In Nonlinear Analysis - Proceedings Of The Conference In Mathematics And Mathematical Physics ISBN: 9814295566 ISBN-13(EAN): 9789814295567 Издательство: World Scientific Publishing Рейтинг: Цена: 154170.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Contains a selection of contributions by mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco during the period of 28-30 October, 2008. This title covers both the theoretical and numerical aspects of nonlinear analysis.
Автор: Blackmore Denis Et Al Название: Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis ISBN: 9814327158 ISBN-13(EAN): 9789814327152 Издательство: World Scientific Publishing Рейтинг: Цена: 190080.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presents a grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to the developments in the field. This book begins with an introduction modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability.
Автор: Freeden Название: Special Functions of Mathematical (Geo-)Physics ISBN: 3034805624 ISBN-13(EAN): 9783034805629 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field).
Автор: Felder Название: Mathematical Methods in Engineering and Physics ISBN: 1118449606 ISBN-13(EAN): 9781118449608 Издательство: Wiley Рейтинг: Цена: 201640.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This text is intended for the undergraduate course in math methods, with an audience of physics and engineering majors. As a required course in most departments, the text relies heavily on explained examples, real-world applications and student engagement.
Автор: Blanchard, Philippe, Bruning, Erwin Название: Mathematical Methods in Physics ISBN: 3319140442 ISBN-13(EAN): 9783319140445 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book corrects popular misconceptions about China`s trade surplus. It examines the relation between RMB`s exchange rate and China`s trade surplus and discusses how China could potentially reduce trade frictions.
Автор: Ge Mo-Lin Et Al Название: Fifty Years Of Mathematical Physics: Selected Works Of Ludwig Faddeev ISBN: 9814340952 ISBN-13(EAN): 9789814340953 Издательство: World Scientific Publishing Рейтинг: Цена: 200640.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Summarizes with a historical perspective several of the major scientific achievements of Ludvig Faddeev. This volume that spans over fifty years of Faddeev`s career begins where he started his own scientific research, in the subject of scattering theory and the three body problem. It then continues to describe Faddeev`s contributions.
Автор: Lam Kai S Название: Topics In Contemporary Mathematical Physics (Second Edition) ISBN: 9814667803 ISBN-13(EAN): 9789814667807 Издательство: World Scientific Publishing Рейтинг: Цена: 68640.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
"This self-contained work still provides a useful introduction of basic ideas, structures, and results which have made a great impact on the development of mathematical physics."
Zentralblatt MATH
This new (second) edition contains a general treatment of quantum field theory (QFT) in a simple scalar field setting in addition to the modern material on the applications of differential geometry and topology, group theory, and the theory of linear operators to physics found in the first edition. All these are introduced without assuming more background on the part of the reader than a good foundation in undergraduate (junior) level mathematical physics. The new material entirely focuses on an introduction to quantum field theory, emphasizing the Feynman path (functional integral) approach to QFT and the renormalization group. With respect to the latter, the focus is on an introduction of its application to critical phenomena in statistical physics, following the outgrowth of the Callan-Symanzik equation originally developed in the context of high energy physics, and the seminal contributions of Kenneth Wilson. One of the overriding aims of the new material is also to draw students' attention to the deep connections between high energy physics and statistical mechanics.
The unavoidable technical aspects are explained with a minimum of prerequisite material and jargon, and conceptual understanding is always given prominence before mastery of technical details, but the importance of the latter is never underestimated. Derivational details and motivational discussions are provided in abundance in order to ensure continuity of reading, and to avoid trying the readers' patience.
Автор: Lam Kai S Название: Topics In Contemporary Mathematical Physics (Second Edition) ISBN: 981466779X ISBN-13(EAN): 9789814667791 Издательство: World Scientific Publishing Рейтинг: Цена: 111930.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
"This self-contained work still provides a useful introduction of basic ideas, structures, and results which have made a great impact on the development of mathematical physics."
Zentralblatt MATH
This new (second) edition contains a general treatment of quantum field theory (QFT) in a simple scalar field setting in addition to the modern material on the applications of differential geometry and topology, group theory, and the theory of linear operators to physics found in the first edition. All these are introduced without assuming more background on the part of the reader than a good foundation in undergraduate (junior) level mathematical physics. The new material entirely focuses on an introduction to quantum field theory, emphasizing the Feynman path (functional integral) approach to QFT and the renormalization group. With respect to the latter, the focus is on an introduction of its application to critical phenomena in statistical physics, following the outgrowth of the Callan-Symanzik equation originally developed in the context of high energy physics, and the seminal contributions of Kenneth Wilson. One of the overriding aims of the new material is also to draw students' attention to the deep connections between high energy physics and statistical mechanics.
The unavoidable technical aspects are explained with a minimum of prerequisite material and jargon, and conceptual understanding is always given prominence before mastery of technical details, but the importance of the latter is never underestimated. Derivational details and motivational discussions are provided in abundance in order to ensure continuity of reading, and to avoid trying the readers' patience.
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