A First Look at Perturbation Theory

Author: James G. Simmonds,James E. Mann

Publisher: Courier Corporation

ISBN: 0486315584

Category: Mathematics

Page: 160

View: 2227

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.
Posted in Mathematics

Stability, Control, and Computation for Time-Delay Systems

An Eigenvalue-Based Approach, Second Edition

Author: Wim Michiels,Silviu-Iulian Niculescu

Publisher: SIAM

ISBN: 1611973635

Category: Mathematics

Page: 435

View: 2411

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.
Posted in Mathematics

Einführung in die Himmelsmechanik

Author: Forest Ray Moulton

Publisher: Springer-Verlag

ISBN: 3663160483

Category: Science

Page: 416

View: 9061

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.
Posted in Science

A First Look at Numerical Functional Analysis

Author: W. W. Sawyer

Publisher: Courier Dover Publications

ISBN: 0486478823

Category: Mathematics

Page: 208

View: 1984

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.
Posted in Mathematics

Quantum Mechanics for Applied Physics and Engineering

Author: Albert T. Fromhold

Publisher: Courier Corporation

ISBN: 0486164691

Category: Science

Page: 448

View: 5123

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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Perturbation Theory and the Nuclear Many Body Problem

Author: Kailash Kumar

Publisher: Courier Dover Publications

ISBN: 0486818950

Category: Science

Page: 256

View: 9556

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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Some Mathematical Methods of Physics

Author: Gerald Goertzel,Nunzio Tralli

Publisher: Courier Corporation

ISBN: 048679332X

Category: Science

Page: 320

View: 2429

Well-rounded, thorough treatment introduces basic concepts of mathematical physics involved in the study of linear systems, with emphasis on eigenvalues, eigenfunctions, and Green's functions. Topics include discrete and continuous systems and approximation methods. 1960 edition.
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Introduction to the Quantum Theory

Third Edition

Author: David Park

Publisher: Courier Corporation

ISBN: 0486137767

Category: Science

Page: 624

View: 7588

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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Vorlesungen über Differential- und Integralrechnung

Zweiter Band: Funktionen Mehrerer Veränderlicher

Author: Richard Courant

Publisher: Springer-Verlag

ISBN: 3709158184

Category: Mathematics

Page: 412

View: 3687

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.
Posted in Mathematics

Vectors and Tensors in Engineering and Physics

Author: Donald A. Danielson

Publisher: Perseus Books

ISBN: 9780201442106

Category: Mathematics

Page: 282

View: 7803

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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Quantum Theory

Author: David Bohm

Publisher: Courier Corporation

ISBN: 0486134881

Category: Science

Page: 672

View: 1273

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.
Posted in Science

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: 5970

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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Quantenmechanik

Author: Albert Messiah

Publisher: Walter de Gruyter

ISBN: 9783110114522

Category: Science

Page: 452

View: 6182

Posted in Science

The Theory of Groups and Quantum Mechanics

Author: Hermann Weyl

Publisher: Courier Corporation

ISBN: 9780486602691

Category: Mathematics

Page: 422

View: 422

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.
Posted in Mathematics

Introduction to Quantum Mechanics with Applications to Chemistry

Author: Linus Pauling,E. Bright Wilson

Publisher: Courier Corporation

ISBN: 0486134938

Category: Science

Page: 496

View: 4547

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.
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Quantum Theory of Many-Particle Systems

Author: Alexander L. Fetter,John Dirk Walecka

Publisher: Courier Corporation

ISBN: 048613475X

Category: Science

Page: 640

View: 8796

Self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 1971 edition.
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Partielle Differentialgleichungen

Eine Einführung

Author: Walter A. Strauss

Publisher: Springer-Verlag

ISBN: 366312486X

Category: Mathematics

Page: 458

View: 2838

Dieses Buch ist eine umfassende Einführung in die klassischen Lösungsmethoden partieller Differentialgleichungen. Es wendet sich an Leser mit Kenntnissen aus einem viersemestrigen Grundstudium der Mathematik (und Physik) und legt seinen Schwerpunkt auf die explizite Darstellung der Lösungen. Es ist deshalb besonders auch für Anwender (Physiker, Ingenieure) sowie für Nichtspezialisten, die die Methoden der mathematischen Physik kennenlernen wollen, interessant. Durch die große Anzahl von Beispielen und Übungsaufgaben eignet es sich gut zum Gebrauch neben Vorlesungen sowie zum Selbststudium.
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Foundations of Laser Spectroscopy

Author: Stig Stenholm

Publisher: Courier Corporation

ISBN: 0486150372

Category: Science

Page: 288

View: 479

A simple presentation of the theoretical foundations of steady-state laser spectroscopy, this text helps students to apply theory to calculations with a systematic series of examples and exercises. 1984 edition.
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Elements of Gasdynamics

Author: Hans Wolfgang Liepmann,Anatol Roshko

Publisher: Courier Corporation

ISBN: 0486419630

Category: Technology & Engineering

Page: 443

View: 2620

The increasing importance of concepts from compressible fluid flow theory for aeronautical applications makes the republication of this first-rate text particularly timely. Intended mainly for aeronautics students, the text will also be helpful to practicing engineers and scientists who work on problems involving the aerodynamics of compressible fluids. Covering the general principles of gas dynamics to provide a working understanding of the essentials of gas flow, the contents of this book form the foundation for a study of the specialized literature and should give the necessary background for reading original papers on the subject. Topics include introductory concepts from thermodynamics, including entropy, reciprocity relations, equilibrium conditions, the law of mass action and condensation; one-dimensional gasdynamics, one-dimensional wave motion, waves in supersonic flow, flow in ducts and wind tunnels, methods of measurement, the equations of frictionless flow, small-perturbation theory, transonic flow, effects of viscosity and conductivity, and much more. The text includes numerous detailed figures and several useful tables, while concluding exercises demonstrate the application of the material in the text and outline additional subjects. Advanced undergraduate or graduate physics and engineering students with at least a working knowledge of calculus and basic physics will profit immensely from studying this outstanding volume.
Posted in Technology & Engineering

Primer of Quantum Mechanics

Author: Marvin Chester

Publisher: Courier Corporation

ISBN: 0486138208

Category: Science

Page: 328

View: 1938

Introductory text examines classical quantum bead on a track: state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; bead in spherical shell. 1992 edition.
Posted in Science