Описание: This classic work, written in a clear and interesting style, with many exercises, offers a thorough and reliable treatment of an important branch of higher analysis. It lends itself well to use in course work; however, because of its consistent clear illustrations of theoretical difficulties, the book is also ideal for self-study. Since all higher analysis depends on the theory of numbers, Professor Knopp (formerly Professor of Mathematics, University of T bingen) begins with an introduction to the theory of real numbers, an indispensable foundation for what is to come. This introduction is followed by an extensive account of the theory of sequences and the actual theory of infinite series. The latter is covered in two stages: (1) the classical theory (2) later developments of the 19th century. Carefully selected exercises have been included throughout, emphasizing applications of the theory, rather than purely theoretical considerations. Aimed at students already acquainted with the elements of differential and integral calculus, this work grew out of the author's lectures and course work at the universities of Berlin and K nigsberg. This pedagogical background helped him achieve a work of utmost clarity and precision -- one that belongs in the library of every serious mathematician or student of higher analysis.
Описание: This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. Intended for graduate students and professionals, its coverage includes such topics as the Holder condition, Hilbert and Riemann-Hilbert problems, the Dirichlet problem, inversion formulas for arcs, and many other areas. 1992 edition.
Описание: This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It focuses on a relatively small number of basic concepts and techniques. Many exercises appear throughout the text, most with solutions. An extensive tutorial explains how to solve problems with C++.
Описание: A rigorous, critical presentation of the mathematics of nonrelativistic quantum mechanics, this text is suitable for advanced undergraduate and graduate courses in functional analysis. Exercises, hints, solutions. 1981 edition.
Описание: Acclaimed as "excellent"("Nature") and "very original and refreshing" ("Physics Today"), this collection of self-contained studies is geared toward advanced undergraduates and graduate students. Its broad selection of topics includes the Mossbauer effect, many-body quantum mechanics, scattering theory, Feynman diagrams, and relativistic quantum mechanics. 1973 edition.
Автор: Waerden B. L. van der Название: Sources of Quantum Mechanics ISBN: 048645892X ISBN-13(EAN): 9780486458922 Издательство: Dover Рейтинг: Цена: 2293 р. Наличие на складе: Нет в наличии.
Описание: Seventeen seminal papers, published from 1917 to 1926, develop and formulate modern quantum theory. Contributors include many of the leading physicists of the early 20th century: Einstein, Ehrenfest, Bohr, Born, Van Vleck, Heisenberg, Dirac, Pauli, and Jordan. The editor, a distinguished Dutch mathematician, provides a 59-page historical introduction.
Описание: Geared toward upper-level undergraduates and graduate students in applied mathematics, this text develops the subject in a systematic and logical manner from a minimal set of axioms. Special physical problems, with suggestions for solutions, appear in the numerous sets of exercises. 1967 edition.
Описание: Geared toward research students in physics and chemistry, this text introduces the three main uses of group theory in quantum mechanics: (1) to label energy levels and the corresponding eigenstates; (2) to discuss qualitatively the splitting of energy levels, starting from an approximate Hamiltonian and adding correction terms; and (3) to aid in the evaluation of matrix elements of all kinds. "The theme," states author Volker Heine, "is to show how all this is achieved by considering the symmetry properties of the Hamiltonian and the way in which these symmetries are reflected in the wave functions." Early chapters cover symmetry transformations, the quantum theory of a free atom, and the representations of finite groups. Subsequent chapters address the structure and vibrations of molecules, solid state physics, nuclear physics, and relativistic quantum mechanics. A previous course in quantum theory is necessary, but the relevant matrix algebra appears in an appendix. A series of examples of varying levels of difficulty follows each chapter. They include simple drills related to preceding material as well as extensions of theory and further applications. The text is enhanced with 46 illustrations and 12 helpful appendixes.
Автор: Tinkham Michael Название: Group Theory and Quantum Mechanics ISBN: 0486432475 ISBN-13(EAN): 9780486432472 Издательство: Dover Рейтинг: Цена: 2868 р. Наличие на складе: Невозможна поставка.
Описание: This graduate-level text develops aspects of group theory most relevant to physics and chemistry and illustrates their applications to quantum mechanics: abstract group theory, theory of group representations, physical applications of group theory, full rotation group and angular momentum, quantum mechanics of atoms, molecular quantum mechanics, and solid-state theory. 1964 edition.
Описание: Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantum theory. The authors based their text on a physics course they taught at a prominent Soviet university. Readers will find it a lucid guide to group theory and matrix representations that develops concepts to the level required for applications. The text's main focus rests upon point and space groups, with applications to electronic and vibrational states. Additional topics include continuous rotation groups, permutation groups, and Lorentz groups. A number of problems involve studies of the symmetry properties of the Schroedinger wave function, as well as the explanation of "additional" degeneracy in the Coulomb field and certain subjects in solid-state physics. The text concludes with an instructive account of problems related to the conditions for relativistic invariance in quantum theory.
Описание: Suitable for advanced undergraduates and graduate students in mathematics and physics, this three-part treatment of operators and representation theory begins with background material on definitions and terminology as well as on operators in Hilbert space. The introductory section concludes with a look at the imprimitivity theorem, which grounds in more mathematical language the work of Wigner on representations of the Poincare and Galilei groups. The second part of the monograph addresses the algebras of operators in Hilbert space, broadening the mathematics used in earlier versions of quantum theory. There are many examples in which the Hamiltonian, the operator that translates a quantum system in time, can be written as a polynomial in elements of an underlying Lie algebra. This section deals with properties of such operators. Part 3 explores covariant representation and connections, with a particular focus on infinite-dimensional Lie algebras. Connections to mathematical physics are stressed throughout the text, which concludes with three helpful appendixes, including a Guide to the Literature.
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