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Introduction to Global Variational Geometry

Author : Demeter Krupka
Publisher : Elsevier
ISBN 13 : 0080954286
Total Pages : 383 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Introduction to Global Variational Geometry by : Demeter Krupka

Download or read book Introduction to Global Variational Geometry written by Demeter Krupka and published by Elsevier. This book was released on 2000-04-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether's theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles- First book on the geometric foundations of Lagrange structures- New ideas on global variational functionals - Complete proofs of all theorems - Exact treatment of variational principles in field theory, inc. general relativity- Basic structures and tools: global analysis, smooth manifolds, fibred spaces

Classical Groups and Geometric Algebra

Author : Larry C. Grove
Publisher : American Mathematical Soc.
ISBN 13 : 0821820192
Total Pages : 181 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classical Groups and Geometric Algebra by : Larry C. Grove

Download or read book Classical Groups and Geometric Algebra written by Larry C. Grove and published by American Mathematical Soc.. This book was released on 2002 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level text on the classical groups: groups of matrices, or (more often) quotients of matrix groups by small normal subgroups. It pulls together into a single source the basic facts about classical groups defined over fields, together with the required geometrical background information, from first principles. The chief prerequisites are basic linear algebra and abstract algebra, including fundamentals of group theory and some Galois Theory. The author teaches at the U. of Arizona. c. Book News Inc.

Simulation and Modeling Related to Computational Science and Robotics Technology

Author : Fumio Kojima
Publisher : IOS Press
ISBN 13 : 1614990913
Total Pages : 264 pages
Book Rating : 4.6/5 (149 download)

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Book Synopsis Simulation and Modeling Related to Computational Science and Robotics Technology by : Fumio Kojima

Download or read book Simulation and Modeling Related to Computational Science and Robotics Technology written by Fumio Kojima and published by IOS Press. This book was released on 2012 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulation and modeling contribute to a broad range of applications in computational science and robotics technology, often addressing important design and control problems. This book presents a selection of papers from the International Workshop on Simulation and Modeling related to Computational Science and Robotics Technology (SiMCTR 2011), held at Kobe University, Japan, in November 2011. The workshop provided a forum for discussing recent developments in the growing field of engineering science and mathematical sciences, and brought together a diverse group of researchers in these areas to share and compare the different approaches to simulation and modeling in computational science and robotics technology. The workshop was also aimed at establishing collaborative links between engineering researchers related to information and robotics technology (IRT) and applied mathematicians working in modeling and computational methods for design and control.

Hodge Theory (MN-49)

Author : Eduardo Cattani
Publisher : Princeton University Press
ISBN 13 : 1400851475
Total Pages : 608 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Hodge Theory (MN-49) by : Eduardo Cattani

Download or read book Hodge Theory (MN-49) written by Eduardo Cattani and published by Princeton University Press. This book was released on 2014-07-21 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers. The exposition is as accessible as possible and doesn't require a deep background. At the same time, the book presents some topics at the forefront of current research. The book is divided between introductory and advanced lectures. The introductory lectures address Kähler manifolds, variations of Hodge structure, mixed Hodge structures, the Hodge theory of maps, period domains and period mappings, algebraic cycles (up to and including the Bloch-Beilinson conjecture) and Chow groups, sheaf cohomology, and a new treatment of Grothendieck’s algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne’s theorem on absolute Hodge cycles), and variation of mixed Hodge structures. The contributors include Patrick Brosnan, James Carlson, Eduardo Cattani, François Charles, Mark Andrea de Cataldo, Fouad El Zein, Mark L. Green, Phillip A. Griffiths, Matt Kerr, Lê Dũng Tráng, Luca Migliorini, Jacob P. Murre, Christian Schnell, and Loring W. Tu.

Calculus in Vector Spaces, Revised Expanded

Author : Lawrence Corwin
Publisher : Routledge
ISBN 13 : 1351462822
Total Pages : 616 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Calculus in Vector Spaces, Revised Expanded by : Lawrence Corwin

Download or read book Calculus in Vector Spaces, Revised Expanded written by Lawrence Corwin and published by Routledge. This book was released on 2017-11-22 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.

Calculus in Vector Spaces, Second Edition, Revised Expanded

Author : Lawrence Corwin
Publisher : CRC Press
ISBN 13 : 9780824792794
Total Pages : 616 pages
Book Rating : 4.7/5 (927 download)

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Book Synopsis Calculus in Vector Spaces, Second Edition, Revised Expanded by : Lawrence Corwin

Download or read book Calculus in Vector Spaces, Second Edition, Revised Expanded written by Lawrence Corwin and published by CRC Press. This book was released on 1994-12-08 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.

Rigidity in Dynamics and Geometry

Author : Marc Burger
Publisher : Springer Science & Business Media
ISBN 13 : 3662047438
Total Pages : 494 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Rigidity in Dynamics and Geometry by : Marc Burger

Download or read book Rigidity in Dynamics and Geometry written by Marc Burger and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from Jan uary until July, 2000. Beside the activities during the semester, there were workshops held in January, March and July, the first being of introductory nature with five short courses delivered over a week. Although the quality of the workshops was excellent throughout the semester, the idea of these proceedings came about during the March workshop, which is hence more prominently represented, The format of the volume has undergone many changes, but what has remained untouched is the enthusiasm of the contributors since the onset of the project: suffice it to say that even though only two months elapsed between the time we contacted the potential authors and the deadline to submit the papers, the deadline was respected in the vast majority of the cases. The scope of the papers is not completely uniform throughout the volume, although there are some points in common. We asked the authors to write papers keeping in mind the idea that they should be accessible to students. At the same time, we wanted the papers not to be a summary of results that appeared somewhere else.

Schrödinger Equations in Nonlinear Systems

Author : Wu-Ming Liu
Publisher : Springer
ISBN 13 : 9811365814
Total Pages : 576 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Schrödinger Equations in Nonlinear Systems by : Wu-Ming Liu

Download or read book Schrödinger Equations in Nonlinear Systems written by Wu-Ming Liu and published by Springer. This book was released on 2019-03-20 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schrödinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schrödinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose–Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures.

Tutorials on Multiresolution in Geometric Modelling

Author : Armin Iske
Publisher : Springer Science & Business Media
ISBN 13 : 3662043882
Total Pages : 424 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Tutorials on Multiresolution in Geometric Modelling by : Armin Iske

Download or read book Tutorials on Multiresolution in Geometric Modelling written by Armin Iske and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only textbook available on multiresolution methods in geometric modeling, a central topic in visualization, which is of great importance for industrial applications. Written in tutorial form, the book is introductory in character, and includes supporting exercises. Other supplementary material and software can be downloaded from the website www.ma.tum.de/primus 2001/.

Algebraic and Logic Programming

Author : Michael Hanus
Publisher : Springer Science & Business Media
ISBN 13 : 9783540617358
Total Pages : 360 pages
Book Rating : 4.6/5 (173 download)

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Book Synopsis Algebraic and Logic Programming by : Michael Hanus

Download or read book Algebraic and Logic Programming written by Michael Hanus and published by Springer Science & Business Media. This book was released on 1996-09-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Fifth International Conference on Algebraic and Logic Programming, ALP '96, held in Aachen, Germany, in September 1996 in conjunction with PLILP and SAS. The volume presents 21 revised full papers selected from 54 submissions; also included is an invited contribution by Claude Kirchner and Ilies Alouini entitled "Toward the Concurrent Implementation of Computational Systems". The volume is divided into topical sections on logic programming, term rewriting, integration of paradigms, abstract interpretation, Lambda-calculus and rewriting, and types.

Analysis on Fractals

Author : Jun Kigami
Publisher : Cambridge University Press
ISBN 13 : 0521793211
Total Pages : 238 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Analysis on Fractals by : Jun Kigami

Download or read book Analysis on Fractals written by Jun Kigami and published by Cambridge University Press. This book was released on 2001-06-07 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.

The Kansas University Science Bulletin

Author :
Publisher :
ISBN 13 :
Total Pages : 896 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis The Kansas University Science Bulletin by :

Download or read book The Kansas University Science Bulletin written by and published by . This book was released on 1922 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to the publication of the results of research by members of the University of Kansas.

Selected Papers, Volume 3

Author : S. Chandrasekhar
Publisher : University of Chicago Press
ISBN 13 : 9780226100944
Total Pages : 662 pages
Book Rating : 4.1/5 (9 download)

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Book Synopsis Selected Papers, Volume 3 by : S. Chandrasekhar

Download or read book Selected Papers, Volume 3 written by S. Chandrasekhar and published by University of Chicago Press. This book was released on 1989-10-23 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third of six volumes collecting significant papers of the distinguished astrophysicist and Nobel laureate S. Chandrasekhar. His work is notable for its breadth as well as for its brilliance; his practice has been to change his focus from time to time to pursue new areas of research. The result has been a prolific career full of discoveries and insights, some of which are only now being fully appreciated. Chandrasekhar has selected papers that trace the development of his ideas and that present aspects of his work not fully covered in the books he has periodically published to summarize his research in each area. This volume is divided into four sections. The first, on dynamical friction and Brownian motion, includes papers written after Chandrasekhar published his 1942 monograph Principles of Stellar Dynamics. Also in this section is "Stochastic Problems in Physics and Astronomy," one of the most cited papers in the physics literature, as well as papers written jointly with John von Neumann that have been given impetus to recent research. As Chandrasekhar notes, the papers in the second section, on statistical problems in astronomy, were influenced by Ambartsumian's analysis of brightness in the Milky Way. A third section on the statistical theory of turbulence addresses issues still unresolved in fluid dynamics, and the last section is devoted to hydromagnetic problems in astrophysics that are not discussed in Chandrasekhar's monographs.

Modern Semiconductor Physics and Device Applications

Author : Vitalii K Dugaev
Publisher : CRC Press
ISBN 13 : 1000462293
Total Pages : 397 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Modern Semiconductor Physics and Device Applications by : Vitalii K Dugaev

Download or read book Modern Semiconductor Physics and Device Applications written by Vitalii K Dugaev and published by CRC Press. This book was released on 2021-11-15 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a theoretical background for contemporary trends in solid-state theory and semiconductor device physics. It discusses advanced methods of quantum mechanics and field theory and is therefore primarily intended for graduate students in theoretical and experimental physics who have already studied electrodynamics, statistical physics, and quantum mechanics. It also relates solid-state physics fundamentals to semiconductor device applications and includes auxiliary results from mathematics and quantum mechanics, making the book useful also for graduate students in electrical engineering and material science. Key Features: Explores concepts common in textbooks on semiconductors, in addition to topics not included in similar books currently available on the market, such as the topology of Hilbert space in crystals Contains the latest research and developments in the field Written in an accessible yet rigorous manner

Stochastic-Process Limits

Author : Ward Whitt
Publisher : Springer Science & Business Media
ISBN 13 : 0387217487
Total Pages : 616 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Stochastic-Process Limits by : Ward Whitt

Download or read book Stochastic-Process Limits written by Ward Whitt and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The material is self-contained, but it is technical and a solid foundation in probability and queuing theory is beneficial to prospective readers. [... It] is intended to be accessible to those with less background. This book is a must to researchers and graduate students interested in these areas." ISI Short Book Reviews

NASA Technical Translation

Author :
Publisher :
ISBN 13 :
Total Pages : 1132 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Translation by :

Download or read book NASA Technical Translation written by and published by . This book was released on 1973 with total page 1132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Optimization and Extensions

Author : Dimitris Alevras
Publisher : Springer Science & Business Media
ISBN 13 : 3642566286
Total Pages : 451 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Linear Optimization and Extensions by : Dimitris Alevras

Download or read book Linear Optimization and Extensions written by Dimitris Alevras and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Books on a technical topic - like linear programming - without exercises ignore the principal beneficiary of the endeavor of writing a book, namely the student - who learns best by doing course. Books with exercises - if they are challenging or at least to some extent so exercises, of - need a solutions manual so that students can have recourse to it when they need it. Here we give solutions to all exercises and case studies of M. Padberg's Linear Optimization and Exten sions (second edition, Springer-Verlag, Berlin, 1999). In addition we have included several new exercises and taken the opportunity to correct and change some of the exercises of the book. Here and in the main text of the present volume the terms "book", "text" etc. designate the second edition of Padberg's LPbook and the page and formula references refer to that edition as well. All new and changed exercises are marked by a star * in this volume. The changes that we have made in the original exercises are inconsequential for the main part of the original text where several ofthe exercises (especiallyin Chapter 9) are used on several occasions in the proof arguments. None of the exercises that are used in the estimations, etc. have been changed.