A First Look at Perturbation Theory

Author: James G. Simmonds,James E. Mann

Publisher: Courier Corporation

ISBN: 0486315584

Category: Mathematics

Page: 160

View: 885

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This introductory text explains methods for obtaining approximate solutions to mathematical problems by exploiting the presence of small, dimensionless parameters. For engineering and physical science undergraduates.
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Stability, Control, and Computation for Time-Delay Systems

An Eigenvalue-Based Approach, Second Edition

Author: Wim Michiels,Silviu-Iulian Niculescu

Publisher: SIAM

ISBN: 1611973627

Category: Mathematics

Page: 435

View: 5459

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Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems.÷ In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book?s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.÷
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A First Look at Numerical Functional Analysis

Author: W. W. Sawyer

Publisher: Courier Dover Publications

ISBN: 0486478823

Category: Mathematics

Page: 208

View: 7595

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Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in numerical analysis and shows how they lead naturally to the concepts of functional analysis. Suitable for advanced undergraduates and graduate students, this book provides coherent explanations for complex concepts. Topics include Banach and Hilbert spaces, contraction mappings and other criteria for convergence, differentiation and integration in Banach spaces, the Kantorovich test for convergence of an iteration, and Rall's ideas of polynomial and quadratic operators. Numerous examples appear throughout the text.
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Perturbation Theory and the Nuclear Many Body Problem

Author: Kailash Kumar

Publisher: Courier Dover Publications

ISBN: 0486818950

Category: Science

Page: 256

View: 4459

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Introductory treatment provides overview of basics and diagrammatic methods. Topics include rearrangement methods and techniques of solving the t-matrix and other equations that arise in the nuclear many body problem. 1962 edition.
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Quantum Mechanics for Applied Physics and Engineering

Author: Albert T. Fromhold

Publisher: Courier Corporation

ISBN: 0486164691

Category: Science

Page: 448

View: 6522

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For upper-level undergraduates and graduate students: an introduction to the fundamentals of quantum mechanics, emphasizing aspects essential to an understanding of solid-state theory. Numerous problems (and selected answers), projects, exercises.
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Vectors and Tensors in Engineering and Physics

Author: Donald A. Danielson

Publisher: Perseus Books

ISBN: 9780201442106

Category: Mathematics

Page: 282

View: 9343

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The second edition develops the calculus of tensor fields and uses this mathematics to model the physical world. This new edition includes expanded derivations and solutions, and new applications, to make this successful text an even more useful and user-friendly book than the first edition.
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A Guide to Feynman Diagrams in the Many-Body Problem

Second Edition

Author: Richard D. Mattuck

Publisher: Courier Corporation

ISBN: 0486131645

Category: Science

Page: 464

View: 3520

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Superb introduction for nonspecialists covers Feynman diagrams, quasi particles, Fermi systems at finite temperature, superconductivity, vacuum amplitude, Dyson's equation, ladder approximation, and more. "A great delight." — Physics Today. 1974 edition.
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Quantum Theory

Author: David Bohm

Publisher: Courier Corporation

ISBN: 0486134881

Category: Science

Page: 672

View: 8480

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This advanced undergraduate-level text presents the quantum theory in terms of qualitative and imaginative concepts, followed by specific applications worked out in mathematical detail.
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The Theory of Groups and Quantum Mechanics

Author: Hermann Weyl

Publisher: Courier Corporation

ISBN: 9780486602691

Category: Mathematics

Page: 422

View: 5179

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This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves — rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations.
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Introduction to the Quantum Theory

Third Edition

Author: David Park

Publisher: Courier Corporation

ISBN: 0486137767

Category: Science

Page: 624

View: 6138

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Geared toward upper-level undergraduates and graduate students, this self-contained first course in quantum mechanics covers basic theory and selected applications and includes numerous problems of varying difficulty. 1992 edition.
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