Hardcover with dust jacket. Text contains underlining. Covers show very minor shelving wear. Binding is tight, hinges strong. Dust jacket shows edge wear.

Advanced Calculus (Addison-Wesley Series in Mathematics)

Science & Math

Sternberg, Shlomo

Loomis, Lynn H.

Mathematics

Addison-Wesley Publishing Company

This original 2019 work, based on the author's many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics. Its intended audience is students of mathematics at the senor university level and beginning graduate students in mathematics and physics. Early chapters address such topics as the Fourier transform, the spectral theorem for bounded self-joint operators, and unbounded operators and semigroups. Subsequent topics include a discussion of Weyl's theorem on the essential spectrum and some of its applications, the Rayleigh-Ritz method, one-dimensional quantum mechanics, Ruelle's theorem, scattering theory, Huygens' principle, and many other subjects.

A Mathematical Companion to Quantum Mechanics (Dover Books on Physics)

Physics

Dover Publications

Symplectic Fibrations and Multiplicity Diagrams

Multiplicity diagrams can be viewed as schemes for describing the phenomenon of "symmetry breaking" in quantum physics. The subject of this book is the multiplicity diagrams associated with the classical groups U(n), O(n), etc. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacunae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take a novel approach, using the techniques of symplectic geometry. The book develops in detail some themes which were touched on in the highly successful Symplectic Techniques in Physics by V. Guillemin and S. Sternberg (CUP, 1984) , including the geometry of the moment map, the Duistermaat-Heckman theorem, the interplay between coadjoint orbits and representation theory, and quantization. Students and researchers in geometry and mathematical physics will find this book fascinating.

Guillemin, Victor

Lerman, Eugene

Cambridge University Press

Symplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. It is thus a subject of interest to both mathematicians and physicists, though they have approached the subject from different viewpoints. This is the first book that attempts to reconcile these approaches. The authors use the uncluttered, coordinate-free approach to symplectic geometry and classical mechanics that has been developed by mathematicians over the course of the past thirty years, but at the same time apply the apparatus to a great number of concrete problems. Some of the themes emphasized in the book include the pivotal role of completely integrable systems, the importance of symmetries, analogies between classical dynamics and optics, the importance of symplectic tools in classical variational theory, symplectic features of classical field theories, and the principle of general covariance.

Symplectic Techniques in Physics

This text breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Aimed at physics students, it covers the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The exterior differential calculus is now being recognized by mathematicians and physicists as the best method of formulating the geometrical laws of physics, and the frontiers of physics have already begun to reopen fundamental questions about the geometry of space and time. Covering the basics of differential and integral calculus, the authors then apply the theory to interesting problems in optics, electronics (networks), electrostatics, wave dynamics, and finally to classical thermodynamics. The authors adopt the "spiral method" of teaching (rather than rectilinear), covering the same topic several times at increasing levels of sophistication and range of application.

A Course in Mathematics for Students of Physics: Volume 1

Bamberg, Paul

This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.

A Course in Mathematics for Students of Physics: Volume 2

Modern elementary mathematics: A laboratory approach

JOHN

Weiss Edwin Callahan

Xerox College Pub.

See the best price to sell, buy, or rent books by Sternberg, Shlomo. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Sternberg, Shlomo

See the best price to sell, buy, or rent books by Sternberg, Shlomo. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Advanced Calculus (Addison-Wesley Series in Mathematics)

A Mathematical Companion to Quantum Mechanics (Dover Books on Physics)

Symplectic Fibrations and Multiplicity Diagrams

Symplectic Techniques in Physics

A Course in Mathematics for Students of Physics: Volume 1

A Course in Mathematics for Students of Physics: Volume 2

A Course in Mathematics for Students of Physics: Volume 1

A Course in Mathematics for Students of Physics: Volume 2

Symplectic Fibrations and Multiplicity Diagrams

Modern elementary mathematics: A laboratory approach