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21 Strobach, Peter Linear Prediction Theory I01472 1990 eBook  
22 Lieb, Elliott H The Stability of Matter: From Atoms to Stars I01250 1997 eBook  
23 Yurtsever, E Frontiers of Chemical Dynamics I00797 1995 eBook  
24 I. M. Gelfand Calculus of variations 026012 1963 Book  
25 Michio Masujima Applied mathematical methods in theoretical physics 020482 2005 Book  
26 John W. Milnor Morse theory 016836 1963 Book  
27 Stefan Hildebrandt Mathematics and optimal form 016805 1985 Book  
28 Robert Weinstock Calculus of variations: With applications to physics and engineering 005445 1974 Book  
29 Mikhail Alekseevich Lavrentev Variational methods for boundary value problems for systems of elliptic equations 005431 1989 Book  
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TitleLinear Prediction Theory : A Mathematical Basis for Adaptive Systems
Author(s)Strobach, Peter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1990.
DescriptionXVI, 422 p : online resource
Abstract NoteLnear prediction theory and the related algorithms have matured to the point where they now form an integral part of many real-world adaptive systems. When it is necessary to extract information from a random process, we are frequently faced with the problem of analyzing and solving special systems of linear equations. In the general case these systems are overdetermined and may be characterized by additional properties, such as update and shift-invariance properties. Usually, one employs exact or approximate least-squares methods to solve the resulting class of linear equations. Mainly during the last decade, researchers in various fields have contributed techniques and nomenclature for this type of least-squares problem. This body of methods now constitutes what we call the theory of linear prediction. The immense interest that it has aroused clearly emerges from recent advances in processor technology, which provide the means to implement linear prediction algorithms, and to operate them in real time. The practical effect is the occurrence of a new class of high-performance adaptive systems for control, communications and system identification applications. This monograph presumes a background in discrete-time digital signal processing, including Z-transforms, and a basic knowledge of discrete-time random processes. One of the difficulties I have en?? countered while writing this book is that many engineers and computer scientists lack knowledge of fundamental mathematics and geometry
ISBN,Price9783642752063
Keyword(s)1. APPLIED MATHEMATICS 2. CALCULUS OF VARIATIONS 3. Calculus of Variations and Optimal Control; Optimization 4. COMBINATORICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. Mathematical Methods in Physics 10. Numerical and Computational Physics, Simulation 11. PHYSICS 12. SYSTEM THEORY 13. Systems Theory, Control
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I01472     On Shelf    

22.     
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TitleThe Stability of Matter: From Atoms to Stars : Selecta of Elliot H. Lieb
Author(s)Lieb, Elliott H;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1997.
DescriptionXI, 676 p : online resource
Abstract NoteThe first edition of "The Stability of Matter: From Atoms to Stars" was sold out after a time unusually short for a selecta collection and we thought it ap?? propriate not just to make a reprinting but to include eight new contributionso They demonstrate that this field is still lively and keeps revealing unexpected featureso Of course, we restricted ourselves to developments in which Elliott Lieb participated and thus the heroic struggle in Thomas-Fermi theory where 7 3 5 3 the accuracy has been pushed from Z 1 to Z 1 is not includedo A rich landscape opened up after Jakob Yngvason's observation that atoms in magnetic fields also are described in suitable limits by a Thomas-Fermi-type theoryo Together with Elliott Lieb and Jan Philip Solovej it was eventually worked out that one has to distinguish 5 regionso If one takes as a dimensionless measure of the magnetic field strength B the ratio Larmor radius/Bohr radius one can compare it with N "' Z and for each of the domains 4 3 (i) B ?? N 1 , 4 3 (ii) B "' N 1 , 4 3 3 (iii) N 1?? B ?? N , 3 (iv) B "' N , 3 (v) B ?? N a different version ofmagnetic Thomas-Fermi theory becomes exact in the limit N --+ ooo In two dimensions and a confining potential ("quantum dots") the situation is somewhat simpler, one has to distinguish only (i) B ?? N, (ii) B "'N
ISBN,Price9783662034361
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. CONDENSED MATTER 6. CONDENSED MATTER PHYSICS 7. EBOOK 8. EBOOK - SPRINGER 9. MATHEMATICAL ANALYSIS 10. QUANTUM COMPUTERS 11. Quantum Information Technology, Spintronics 12. QUANTUM PHYSICS 13. SPINTRONICS 14. SYSTEM THEORY 15. Systems Theory, Control
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23.     
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TitleFrontiers of Chemical Dynamics
Author(s)Yurtsever, E
PublicationDordrecht, Springer Netherlands, 1995.
DescriptionXVI, 406 p : online resource
Abstract NoteThis volume contains the lectures presented at the NATO Advanced Study Institute (ASI) on " Frontiers of Chemical Dynamics ", held in the Club AIda, Kerner, Turkey, from 5th September to 16th September 1994. The Kerner area, famous for its pristine beaches and craggy mountains provided an excellent atmosphere for an intellectually and socially active meeting. The first class facilities of Club AIda allowed the participants to concentrate on the scientific activities without any outside interferences and disturbances. The main objective of the meeting was to bring experts of chemical dynamics to discuss problems from both experimental and theoretical points of view. The organizing committee has helped a great deal to collect an impressive list of lecturers, although there were quite a number of other scientists whom we would have liked to invite. Unfortunately, the number of lecturers is limited and we had to leave out some of them. The selection of the lecturers from a very long list was a difficult process and those who are approached in our very first attempt were all known for giving very good lectures. The purpose of the ASI's are mainly educational even though they may be at a very high level and it is essential to keep in mind the pedagogical aspects of the meeting without sacrificing the scientific quality. This point was underlined several times in our communications with lecturers
ISBN,Price9789401103459
Keyword(s)1. Atomic, Molecular, Optical and Plasma Physics 2. ATOMS 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. EBOOK 6. EBOOK - SPRINGER 7. ORGANIC CHEMISTRY 8. PHYSICAL CHEMISTRY 9. PHYSICS
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24.     
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TitleCalculus of variations
Author(s)I. M. Gelfand ;S. V. Fomin;Richard A. Silverman (tr.)
PublicationNew York, Dover Publications, Inc., 1963.
Descriptionvii, 232p.
Abstract NoteBased on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws. The reader who merely wishes to become familiar with the most basic concepts and methods of the calculus of variations need only study the first chapter. Students wishing a more extensive treatment, however, will find the first six chapters comprise a complete university-level course in the subject, including the theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers the application of variational methods to the study of systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. The problems following each chapter were made specially for this English-language edition, and many of them comment further on corresponding parts of the text. Two appendices and suggestions for supplementary reading round out the text.
ISBN,Price9780486414485 : Rs. 450.00(PB)
Classification517.27
Keyword(s)CALCULUS OF VARIATIONS
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026012   517.27/GEL/026012  On Shelf    

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25.     
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TitleApplied mathematical methods in theoretical physics
Author(s)Michio Masujima
PublicationWeinheim, WILEY-VCH Verlag GmbH & Co, KGaA, 2005.
Descriptionxi, 377p.
ISBN,Price3527405348 : US $180.00
Classification530.1:51
Keyword(s)1. CALCULUS OF VARIATIONS 2. EBOOK 3. EBOOK - WILEY 4. INTEGRAL EQUATIONS 5. MATHEMATICAL METHODS - PHYSICS
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020482   530.1:51/MAS/020482  Issued SB02: Biplab Sarkar 16/May/2024
OB1811   530.1:51/MAS/  On Shelf    

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TitleMorse theory
Author(s)John W. Milnor
PublicationPrinceton, Princeton University Press, 1963.
Descriptionviii, 153p.
Series(Annals of mathematics studies)
ISBN,Price0-691-08008-9
Classification517.97
Keyword(s)1. CALCULUS OF VARIATIONS 2. EBOOK 3. EBOOK - PRINCETON UNIVERSITY PRESS 4. GEODESICS 5. LIE GROUPS 6. MORSE THEORY 7. RIEMANNIAN GEOMETRY 8. SYMMETRIC SPACES
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016836   517.97/MIL/016836  On Shelf    
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TitleMathematics and optimal form
Author(s)Stefan Hildebrandt;Anthony Tromba
PublicationNew York, Scientific American, Inc., 1985.
Description215p.
ISBN,Price0-7167-5009-0
Classification517.27
Keyword(s)1. AESTHETICS 2. CALCULUS OF VARIATIONS 3. FORM 4. MATHEMATICS 5. MAXIMA AND MINIMA 6. MOTION 7. OPTIMAL FORM
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016805   517.27/HIL/016805  On Shelf    

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28.     
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TitleCalculus of variations: With applications to physics and engineering
Author(s)Robert Weinstock
PublicationNew York, Dover Publications, Inc., 1974.
Descriptionx,326pp.
Classification517.27
Keyword(s)CALCULUS OF VARIATIONS
Item TypeBook

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005445   517.27/WEI/005445  On Shelf    

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29.    
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TitleVariational methods for boundary value problems for systems of elliptic equations
Author(s)Mikhail Alekseevich Lavrentev;J.R.M. Radok (tr.)
PublicationNew York, Dover Publications, Inc., 1989.
Description153pp.
Classification517.27
Keyword(s)1. BOUNDARY VALUE PROBLEMS 2. CALCULUS OF VARIATIONS 3. CONFORMAL MAPPING
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005431   517.27/LAV/005431  On Shelf    

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