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Author  Title  Accn#  Year  Item Type  Claims 
61 
Ruymgaart, Peter A 
Mathematics of KalmanBucy Filtering 
I01720 
1988 
eBook 

62 
Haag, Rudolf 
Local Quantum Physics 
I01643 
1996 
eBook 

63 
Bucy, S 
Nonlinear Stochastic Problems 
I01632 
1983 
eBook 

64 
Lieb, Elliott H 
The Stability of Matter: From Atoms to Stars 
I01250 
1997 
eBook 

65 
Arkeryd, Leif O 
Nonstandard Analysis 
I01155 
1997 
eBook 

66 
Sirovich, Lawrence 
New Perspectives in Turbulence 
I01065 
1991 
eBook 

67 
Branner, B 
Real and Complex Dynamical Systems 
I01006 
1995 
eBook 

68 
Balslev, Erik 
Schr??dinger Operators The Quantum Mechanical ManyBody Problem 
I00940 
1992 
eBook 

69 
Sahney, B.N 
Polynomial and Spline Approximation 
I00899 
1979 
eBook 

70 
Chan, Y. T 
Wavelet Basics 
I00403 
1995 
eBook 


61.


Title  Mathematics of KalmanBucy Filtering 
Author(s)  Ruymgaart, Peter A;Soong, Tsu T 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 1988. 
Description  XII, 170 p : online resource 
Abstract Note  The second edition has not deviated significantly from the first. The printing of this edition, however, has allowed us to make a number of corrections which escaped our scrutiny at the time of the first printing, and to generally improve and tighten our presentation of the material. Many of these changes were suggested to us by colleagues and readers and their kindness in doing so is greatly appreciated. Delft, The Netherlands and P. A. Ruymgaart Buffalo, New York, December, 1987 T. T. Soong Preface to the First Edition Since their introduction in the mid 1950s, the filtering techniques developed by Kalman, and by Kalman and Bucy have been widely known and widely used in all areas of applied sciences. Starting with applications in aerospace engineering, their impact has been felt not only in all areas of engineering but as all also in the social sciences, biological sciences, medical sciences, as well other physical sciences. Despite all the good that has come out of this devel?? opment, however, there have been misuses because the theory has been used mainly as a tool or a procedure by many applied workers without fully understanding its underlying mathematical workings. This book addresses a mathematical approach to KalmanBucy filtering and is an outgrowth of lectures given at our institutions since 1971 in a sequence of courses devoted to KalmanBucy filters 
ISBN,Price  9783642733413 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. Coding and Information Theory
4. CODING THEORY
5. EBOOK
6. EBOOK  SPRINGER
7. INFORMATION THEORY
8. MATHEMATICAL ANALYSIS
9. PROBABILITIES
10. Probability Theory and Stochastic Processes
11. Statistics, general
12. Statistics??

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Call#  Status  Issued To  Return Due On  Physical Location 
I01720 


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62.


Title  Local Quantum Physics : Fields, Particles, Algebras 
Author(s)  Haag, Rudolf 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 1996. 
Description  XV, 390 p : online resource 
Abstract Note  This textbook gives a comprehensive account of local quantum physics, understood as the synthesis of quantum theory with the principle of locality. Centered on the algebraic approach it describes the physical concepts, the mathematical structures, and their consequences. These include the emergence of the particle picture, general collision theory covering the cases of massless particles and infraparticles, and the analysis of possible charge structures and exchange symmetries, including braid group statistics. Thermal states of an unbounded medium and local equilibrium are discussed in detail. The author, one of the most original researchers in this field, takes care both to describe the ideas and to give a critical assessment of future perspectives. The new edition contains numerous improvements and a new chapter concerning formalism and interpretation of quantum theory. "Under his influence the synthesis of relativity, quantum theory and the theory of operator algebras now called algebraic quantum field theory has proven itself to be extremely flexible and powerful. /.../ This book is by no means the summa of the field of algebraic quantum field theory" Stephen J. Summers, Gainesville, FL, Mathematical Reviews, Issue 94d, USA 1994 "Indeed, both the expert in the field and the novice will enjoy Haag's insightful exposition of the basic physics behind the abstract mathematics, and his unique way of making complicated mathematical theorems plausible without getting bogged down in tedious details. /.../ This book is bound to occupy a place on a par with other classics in the mathematical physics literature." Meinhard E. Mayer, University of California, Irvine, Physics Today, May 1993 
ISBN,Price  9783642614583 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. EBOOK
4. EBOOK  SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. MATHEMATICAL ANALYSIS
8. Mathematical Methods in Physics
9. PHYSICS
10. QUANTUM FIELD THEORY
11. QUANTUM PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I01643 


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63.


Title  Nonlinear Stochastic Problems 
Author(s)  Bucy, S;Moura, J.M.F 
Publication  Dordrecht, Springer Netherlands, 1983. 
Description  XII, 623 p : online resource 
Abstract Note  This volume corresponds to the invited lectures and advanced research papers presented at the NATD Advanced Study Institute on Nonlinear Stochastic Problems with emphasis on Identification, Signal Processing, Control and Nonlinear Filtering held in Algarve (Portugal), on May 1982. The book is a blend of theoretical issues, algorithmic implementation aspects, and application examples. In many areas of science and engineering, there are problems which are intrinsically nonlinear 3nd stochastic in nature. Clear examples arise in identification and mOdeling, signal processing, nonlinear filtering, stochastic and adaptive conLrol. The meeting was organized because it was felt that there is a need for discussion of the methods and philosophy underlying these different areas, and in order to communicate those approaches that have proven to be effective. As the computational technology progresses, more general approaches to a number of problems which have been treated previously by linearization and perturbation methods become feasible and rewarding 
ISBN,Price  9789400971424 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. EBOOK
4. EBOOK  SPRINGER
5. MATHEMATICAL ANALYSIS
6. PROBABILITIES
7. Probability Theory and Stochastic Processes

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Call#  Status  Issued To  Return Due On  Physical Location 
I01632 


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64.


Title  The Stability of Matter: From Atoms to Stars : Selecta of Elliot H. Lieb 
Author(s)  Lieb, Elliott H;Thirring, Walter 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 1997. 
Description  XI, 676 p : online resource 
Abstract Note  The 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 ThomasFermi 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 ThomasFermitype 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 ThomasFermi 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,Price  9783662034361 
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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Call#  Status  Issued To  Return Due On  Physical Location 
I01250 


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65.


Title  Nonstandard Analysis : Theory and Applications 
Author(s)  Arkeryd, Leif O;Cutland, Nigel J;Henson, C. Ward 
Publication  Dordrecht, Springer Netherlands, 1997. 
Description  XIV, 366 p : online resource 
Abstract Note  1 More than thirty years after its discovery by Abraham Robinson , the ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an im?? portant field of research in their own right. The current methods of NSA now greatly extend Robinson's original work with infinitesimals. However, while the range of applications is broad, certain fundamental themes re?? cur. The nonstandard framework allows many informal ideas (that could loosely be described as idealisation) to be made precise and tractable. For example, the real line can (in this framework) be treated simultaneously as both a continuum and a discrete set of points; and a similar dual ap?? proach can be used to link the notions infinite and finite, rough and smooth. This has provided some powerful tools for the research mathematician  for example Loeb measure spaces in stochastic analysis and its applications, and nonstandard hulls in Banach spaces. The achievements of NSA can be summarised under the headings (i) explanation  giving fresh insight or new approaches to established theories; (ii) discovery  leading to new results in many fields; (iii) invention  providing new, rich structures that are useful in modelling and representation, as well as being of interest in their own right. The aim of the present volume is to make the power and range of appli?? cability of NSA more widely known and available to research mathemati?? cians 
ISBN,Price  9789401155441 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. Applications of Mathematics
4. APPLIED MATHEMATICS
5. EBOOK
6. EBOOK  SPRINGER
7. ENGINEERING MATHEMATICS
8. Fluid and Aerodynamics
9. FLUIDS
10. FUNCTIONAL ANALYSIS
11. MATHEMATICAL ANALYSIS
12. PROBABILITIES
13. Probability Theory and Stochastic Processes

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Call#  Status  Issued To  Return Due On  Physical Location 
I01155 


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66.


Title  New Perspectives in Turbulence 
Author(s)  Sirovich, Lawrence 
Publication  New York, NY, Springer New York, 1991. 
Description  XV, 367 p : online resource 
Abstract Note  This collection of articles has its origin in a meeting which took place June 1215, 1989, on the grounds of Salve Regina College in Newport, Rhode Island. The meeting was blessed by beautiful, balmy weather and an idyllic setting. The sessions themselves took place in Ochre Court, one of the elegant and stately old summer cottages for which Newport is acclaimed. Lectures were presented in the grand ballroom overlooking the famous Cliff Walk and Block Island Sound. Counter to general belief, the pleasant surroundings did not appear to encourage truancy or in any other way diminish the quality of the meeting. On the contrary, for the four days of the meeting there was a high level of excitement and optimism about the new perspectives in turbulence, a tone that carried over to lively dinner and evening discussions. The participants represented a broad range of backgrounds, extending from pure mathemat?? ics to experimental engineering. A dialogue began with the first speakers which cut across the boundaries and gave to the meeting a mood of unity which persisted 
ISBN,Price  9781461231561 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. EBOOK
4. EBOOK  SPRINGER
5. Fluid and Aerodynamics
6. FLUIDS
7. MATHEMATICAL ANALYSIS
8. Mathematical Modeling and Industrial Mathematics
9. MATHEMATICAL MODELS
10. MATHEMATICAL PHYSICS
11. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I01065 


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67.


Title  Real and Complex Dynamical Systems 
Author(s)  Branner, B;Hjorth, Poul 
Publication  Dordrecht, Springer Netherlands, 1995. 
Description  XVIII, 348 p : online resource 
Abstract Note  This volume contains edited versions of 11 contributions given by main speakers at the NATO Advanced Study Institute on lReal and Complex Dynamical Systems in Hiller0d, Denmark, June 20th  July 2nd, 1993. The vision of the institute was to illustrate the interplay between two important fields of Mathematics: Real Dynamical Systems and Complex Dynamical Systems. The interaction between these two fields has been growing over the years. Problems in Real Dynamical Systems have recently been solved using complex tools in the real or by extension to the complex. In return, problems in Complex Dynamical Systems have been settled using results from Real Dynamical Systems. The programme of the institute was to examine the state of the art of central parts of both Real and Complex Dynamical Systems, to reinforce contact between the two aspects of the theory and to make recent progress in each accessible to a larger group of mathematicians 
ISBN,Price  9789401584395 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. EBOOK
4. EBOOK  SPRINGER
5. GLOBAL ANALYSIS (MATHEMATICS)
6. Global Analysis and Analysis on Manifolds
7. Manifolds (Mathematics)
8. MATHEMATICAL ANALYSIS
9. NUMBER THEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I01006 


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68.


Title  Schr??dinger Operators The Quantum Mechanical ManyBody Problem : Proceedings of a Workshop Held at Aarhus, Denmark 15 May  1 August 1991 
Author(s)  Balslev, Erik 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 1992. 
Description  VIII, 264 p : online resource 
Abstract Note  In these proceedings basic questions regarding nbody Schrdinger operators are dealt with, such as asymptotic completeness of systems with longrange potentials (including Coulomb), a new proof of completeness for shortrange potentials, energy asymptotics of large Coulomb systems,asymptotic neutrality of polyatomic molecules. Other contributions deal withdifferent types of problems, such as quantum stability, Schrdinger operators on a torus and KAM theory, semiclassical theory, time delay, radiation conditions, magnetic Stark resonances, random Schrdinger operators and stochastic spectral analysis. The volume presents the results in such detail that it could well serve as basic literature for seminar work 
ISBN,Price  9783540471073 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. EBOOK
4. EBOOK  SPRINGER
5. MATHEMATICAL ANALYSIS
6. PROBABILITIES
7. Probability Theory and Stochastic Processes
8. QUANTUM COMPUTERS
9. Quantum Information Technology, Spintronics
10. QUANTUM PHYSICS
11. SPINTRONICS

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I00940 


On Shelf 




70.
 
Title  Wavelet Basics 
Author(s)  Chan, Y. T 
Publication  New York, NY, Springer US, 1995. 
Description  IX, 134 p : online resource 
Abstract Note  Since the study of wavelets is a relatively new area, much of the research coming from mathematicians, most of the literature uses terminology, concepts and proofs that may, at times, be difficult and intimidating for the engineer. Wavelet Basics has therefore been written as an introductory book for scientists and engineers. The mathematical presentation has been kept simple, the concepts being presented in elaborate detail in a terminology that engineers will find familiar. Difficult ideas are illustrated with examples which will also aid in the development of an intuitive insight. Chapter 1 reviews the basics of signal transformation and discusses the concepts of duals and frames. Chapter 2 introduces the wavelet transform, contrasts it with the shorttime Fourier transform and clarifies the names of the different types of wavelet transforms. Chapter 3 links multiresolution analysis, orthonormal wavelets and the design of digital filters. Chapter 4 gives a tour d'horizon of topics of current interest: wavelet packets and discrete time wavelet transforms, and concludes with applications in signal processing 
ISBN,Price  9781461522133 
Keyword(s)  1. ACOUSTICS
2. ANALYSIS
3. Analysis (Mathematics)
4. EBOOK
5. EBOOK  SPRINGER
6. ELECTRICAL ENGINEERING
7. IMAGE PROCESSING
8. Image Processing and Computer Vision
9. MATHEMATICAL ANALYSIS
10. OPTICAL DATA PROCESSING
11. SIGNAL PROCESSING
12. Signal, Image and Speech Processing
13. Speech processing systems

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I00403 


On Shelf 



 