Interdisciplinary Mathematics

Interdisciplinary Mathematics PDF Author: Robert Hermann
Publisher:
ISBN: 9780915692255
Category : Mathematics
Languages : en
Pages : 216

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Book Description

Interdisciplinary Mathematics

Interdisciplinary Mathematics PDF Author: Robert Hermann
Publisher:
ISBN: 9780915692255
Category : Mathematics
Languages : en
Pages : 216

Get Book Here

Book Description


Interdisciplinary Mathematics: Yang-Mills, Kaluza-Klein, and the Einstein Program

Interdisciplinary Mathematics: Yang-Mills, Kaluza-Klein, and the Einstein Program PDF Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 218

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Gauge Theory and Variational Principles

Gauge Theory and Variational Principles PDF Author: David Bleecker
Publisher: Courier Corporation
ISBN: 0486151875
Category : Science
Languages : en
Pages : 202

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Book Description
This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas. Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.

Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems

Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems PDF Author: Robert Hermann
Publisher: Math-Sci Press
ISBN: 9780915692453
Category : Mathematics
Languages : en
Pages : 286

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Geometric Structures in Nonlinear Physics

Geometric Structures in Nonlinear Physics PDF Author: Robert Hermann
Publisher: Math Science Press
ISBN: 9780915692422
Category : Mathematics
Languages : en
Pages : 363

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Book Description
VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.

Geometric Methods in Mathematical Physics

Geometric Methods in Mathematical Physics PDF Author: G. Kaiser
Publisher: Springer
ISBN: 3540385711
Category : Science
Languages : en
Pages : 269

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Book Description
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.

Cartanian Geometry, Nonlinear Waves, and Control Theory

Cartanian Geometry, Nonlinear Waves, and Control Theory PDF Author: Robert Hermann
Publisher:
ISBN: 9780915692279
Category : Mathematics
Languages : en
Pages : 526

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Mexican Mathematicians in the World

Mexican Mathematicians in the World PDF Author: Fernando Galaz-García
Publisher: American Mathematical Society
ISBN: 1470465361
Category : Mathematics
Languages : en
Pages : 319

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Book Description
Articles in this volume are based on presentations given at the IV Meeting of Mexican Mathematicians Abroad (IV Reunión de Matemáticos Mexicanos en el Mundo), held from June 10–15, 2018, at Casa Matemática Oaxaca (CMO), Mexico. This meeting was the fourth in a series of ongoing biannual meetings bringing together Mexican mathematicians working abroad with their peers in Mexico. This book features surveys and research articles from five broad research areas: algebra, analysis, combinatorics, geometry, and topology. Their topics range from general relativity and mathematical physics to interactions between logic and ergodic theory. Several articles provide a panoramic view of the fields and problems on which the authors are currently working on, showcasing diverse research lines complementary to those currently pursued in Mexico. The research-oriented manuscripts provide either alternative approaches to well-known problems or new advances in active research fields.

Quantum Theory and Gravitation

Quantum Theory and Gravitation PDF Author: A Marlow
Publisher: Elsevier
ISBN: 0323157971
Category : Science
Languages : en
Pages : 280

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Book Description
Quantum Theory and Gravitation provides information pertinent to quantum theory and general relativity. This book defines the problem areas and presents specific solutions to problems in relativity or quantum theory. Organized into 17 chapters, this book starts with an overview of the concept of pregeometry wherein the geometry of space and space time are based. This text then explores the restriction to real amplitude in photon polarization experiment, which appears in the fact that the elliptical polarizations are not included as possibilities. Other chapters consider the primary role that space-time models play in the expression of physical theories. This book discusses as well the basic structure of an axiomatic model for a fully relativistic quantum theory, which consists of four axioms imposed on an operational quantum logical universe of discourse. The final chapter describes the relationships between certain areas of mathematics and the developments in theoretical physics. Physicists, mathematicians, and researchers will find this book useful.

Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control and Fluid Dynamics

Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control and Fluid Dynamics PDF Author: Louis R. Hunt
Publisher:
ISBN: 9780915692378
Category : Science
Languages : en
Pages : 466

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Book Description