Author: Fabio Silva Botelho Publisher: CRC Press ISBN: 1000411028 Category : Mathematics Languages : en Pages : 335
Book Description
Presents a rigorous study on manifolds in Rn. Develops in details important standard topics on advanced calculus, such as the differential forms in surfaces in Rn. Presents a proposal to connect classical and quantum mechanics. Presents variational formulations for relativistic mechanics through semi-Riemannian geometry and differential geometry. Develops a rigorous study on causal structures in space-time manifolds.
Author: Lynn Harold Loomis Publisher: World Scientific Publishing Company ISBN: 9814583952 Category : Mathematics Languages : en Pages : 595
Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author: Wolfgang Yourgrau Publisher: Courier Corporation ISBN: 0486151131 Category : Science Languages : en Pages : 222
Book Description
DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
Author: Oliver Johns Publisher: OUP Oxford ISBN: 0191001627 Category : Science Languages : en Pages : 653
Book Description
An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory.
Author: Linus Pauling Publisher: Courier Corporation ISBN: 0486134938 Category : Science Languages : en Pages : 500
Book Description
Classic undergraduate text explores wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, and the structure of simple and complex molecules. Numerous tables and figures.
Author: Nicholas Woodhouse Publisher: Springer Science & Business Media ISBN: 1848828160 Category : Science Languages : en Pages : 240
Book Description
First published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton’s laws through Lagrange’s equations and Hamilton’s principle, to Hamilton’s equations and canonical transformations. This new edition has been extensively revised and updated to include: A chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations. A more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles. A greater emphasis on the links to special relativity and quantum theory showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics. A wealth of examples show the subject in action and a range of exercises – with solutions – are provided to help test understanding.
Author: M. I. Petrashen Publisher: Courier Corporation ISBN: 0486172724 Category : Science Languages : en Pages : 338
Book Description
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.
Author: E. Atlee Jackson Publisher: Courier Corporation ISBN: 0486149390 Category : Science Languages : en Pages : 276
Book Description
Key features include an elementary introduction to probability, distribution functions, and uncertainty; a review of the concept and significance of energy; and various models of physical systems. 1968 edition.
Author: Robert D. Reed Publisher: Courier Corporation ISBN: 9780486685687 Category : Science Languages : en Pages : 354
Book Description
Concise text, designed for one-semester course, covers classical Maxwell-Boltzmann-Planck statistics and two quantum statistics. Physical applications. Useful problems. 1971 edition.
Author: Fabio Silva Botelho
Author: Lynn Harold Loomis
Author: Wolfgang Yourgrau
Author: Oliver Johns
Author: Linus Pauling
Author: Nicholas Woodhouse
Author: 
Author: M. I. Petrashen
Author: E. Atlee Jackson
Author: Robert D. Reed