Book Description
A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation and Hamiltonian systems in diverse applications are explored.
Author : Jerrold E. Marsden
Publisher : SIAM
Page : 103 pages
File Size : 29,26 MB
Release : 1981-01-01
Category : Science
ISBN : 0898711703
A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation and Hamiltonian systems in diverse applications are explored.
Author : Jerrold E. Marsden
Publisher : SIAM
Page : 102 pages
File Size : 37,9 MB
Release : 1981-01-01
Category : Science
ISBN : 9781611970326
A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation and Hamiltonian systems in diverse applications are explored.
Author : Richard P. Feynman
Publisher : Addison-Wesley Longman
Page : 328 pages
File Size : 43,91 MB
Release : 1996-09-08
Category : Computers
ISBN :
Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b
Author : Maria Ulan
Publisher : Springer Nature
Page : 231 pages
File Size : 50,31 MB
Release : 2021-02-12
Category : Mathematics
ISBN : 3030632539
This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures were dedicated to symplectic and Poisson geometry, tractor calculus, and the integration of ordinary differential equations, and are included here as lecture notes comprising the first three chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and mathematical physics. Specific topics covered include: Parabolic geometry Geometric methods for solving PDEs in physics, mathematical biology, and mathematical finance Darcy and Euler flows of real gases Differential invariants for fluid and gas flow Differential Geometry, Differential Equations, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry is assumed.
Author : G. Kaiser
Publisher : Springer
Page : 269 pages
File Size : 19,41 MB
Release : 2006-11-14
Category : Science
ISBN : 3540385711
For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills-specifically, reasoning skills-that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.
Author : Jerrold E. Marsden
Publisher : Cambridge University Press
Page : 272 pages
File Size : 39,63 MB
Release : 1992-04-30
Category : Mathematics
ISBN : 9780521428446
Based on the 1991 LMS Invited Lectures given by Professor Marsden, this book discusses and applies symmetry methods to such areas as bifurcations and chaos in mechanical systems.
Author : Jerrold E. Marsden
Publisher :
Page : pages
File Size : 23,34 MB
Release : 1981
Category :
ISBN :
Author : K. Bleuler
Publisher : Springer
Page : 624 pages
File Size : 14,18 MB
Release : 2006-11-15
Category : Science
ISBN : 3540357211
Author : H.-D. Doebner
Publisher : Springer
Page : 319 pages
File Size : 16,9 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540390022
Author : Valter Moretti
Publisher : Springer
Page : 962 pages
File Size : 46,29 MB
Release : 2018-01-30
Category : Mathematics
ISBN : 331970706X
This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory. Further, this Second Edition collects in one volume a number of useful rigorous results on the mathematical structure of quantum mechanics focusing in particular on von Neumann algebras, Superselection rules, the various notions of Quantum Symmetry and Symmetry Groups, and including a number of fundamental results on the algebraic formulation of quantum theories. Intended for Master's and PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book also benefits established researchers by organizing and presenting the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly."