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: Scopatz Anthony, Huff Kathryn D. Название: Effective Computation in Physics ISBN: 1491901535 ISBN-13(EAN): 9781491901533 Издательство: Wiley Рейтинг: Цена: 4878.00 р. 6968.00-30% Наличие на складе: Есть (1 шт.) Описание: Written by two PhDs in nuclear engineering, this book includes practical examples drawn from a working knowledge of physics concepts. You`ll learn how to use the Python programming language to perform everything from collecting and analyzing data to building software and publishing your results.
Автор: Griffiths, David J. (Reed College, Oregon) Название: Introduction to electrodynamics. 4 ed. ISBN: 1108420419 ISBN-13(EAN): 9781108420419 Издательство: Cambridge Academ Рейтинг: Цена: 8710.00 р. Наличие на складе: Поставка под заказ.
Описание: A re-issued and affordable edition of the well-known undergraduate electrodynamics textbook. The Fourth Edition provides a rigorous, yet clear and accessible treatment of the fundamentals of electromagnetic theory and offers a sound platform for explorations of related applications (AC circuits, transmission lines, plasmas, optics and more).
Автор: Bengtsson Ingemar Название: Geometry of Quantum States ISBN: 1107026253 ISBN-13(EAN): 9781107026254 Издательство: Cambridge Academ Рейтинг: Цена: 13779.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.
Автор: Alexander S. Holevo Название: Quantum Systems, Channels, Information: A Mathematical Introduction ISBN: 311027325X ISBN-13(EAN): 9783110273250 Издательство: Walter de Gruyter Цена: 16916.00 р. 24166.00-30% Наличие на складе: Есть (1 шт.) Описание: The main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world.The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements.
Автор: Falkovich, Gregory (weizmann Institute Of Science, Название: Fluid mechanics 2ed ISBN: 1107129567 ISBN-13(EAN): 9781107129566 Издательство: Cambridge Academ Рейтинг: Цена: 7445.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Revised for the second edition, this textbook presents the minimum of what physicists, engineers and mathematicians needs to know about hydrodynamics. Aimed at undergraduate and graduate students, it contains forty-one original problems and uses examples from everyday life throughout to help readers understand fluid mechanics.
Автор: Jaffe Robert L Название: Physics of Energy ISBN: 1107016657 ISBN-13(EAN): 9781107016651 Издательство: Cambridge Academ Рейтинг: Цена: 10930.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Aimed at students, scientists, engineers, and professionals, this definitive textbook provides an introduction to the scientific principles governing the flow of energy from sources such as solar power, wind power, nuclear power, and fossil fuels, through engines and electric grids, to end uses ranging from automobiles to air conditioners.
Описание: What every neuroscientist should know about the mathematical modeling of excitable cells. Combining empirical physiology and nonlinear dynamics, this text provides an introduction to the simulation and modeling of dynamic phenomena in cell biology and neuroscience. It introduces mathematical modeling techniques alongside cellular electrophysiology. Topics include membrane transport and diffusion, the biophysics of excitable membranes, the gating of voltage and ligand-gated ion channels, intracellular calcium signalling, and electrical bursting in neurons and other excitable cell types. It introduces mathematical modeling techniques such as ordinary differential equations, phase plane, and bifurcation analysis of single-compartment neuron models. With analytical and computational problem sets, this book is suitable for life sciences majors, in biology to neuroscience, with one year of calculus, as well as graduate students looking for a primer on membrane excitability and calcium signalling.
Автор: John L. Bohn Название: A Student`s Guide to Analytical Mechanics ISBN: 1107145767 ISBN-13(EAN): 9781107145764 Издательство: Cambridge Academ Рейтинг: Цена: 6019.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An accessible guide to analytical mechanics, clearly explaining the mathematical theory to help students formulate, solve and interpret problems in mechanics. Each chapter includes easily-visualised examples to provide context and reinforcement of important theory, and concludes with a set of exercises to test understanding.
Автор: Blundell Название: Concepts in Thermal Physics ISBN: 0199562105 ISBN-13(EAN): 9780199562107 Издательство: Oxford Academ Рейтинг: Цена: 6255.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This modern introduction to thermal physics contains a step-by-step presentation of the key concepts. The text is copiously illustrated and each chapter contains several worked examples.
Автор: Ort?n Название: Gravity and Strings ISBN: 0521768136 ISBN-13(EAN): 9780521768139 Издательство: Cambridge Academ Рейтинг: Цена: 20275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Self-contained, comprehensive, and consistent, this definitive new edition is a unique resource for graduate students and researchers in theoretical physics. This second edition contains over 300 pages of new material, covers an extensive array of topics, and is accompanied by an exhaustive index and bibliography. An exceptional reference work.
Автор: Andreas Knauf; Jochen Denzler Название: Mathematical Physics: Classical Mechanics ISBN: 366255772X ISBN-13(EAN): 9783662557723 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior.
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