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1.
˜The œboltzmann equation and its applications / by Cercignani, Carlo. Publication: [S.l.] : Springer, 1987 . 476 p. ; , This book gives a complete exposition of the present status of the theory of the Boltzmann equation and its applications. The Boltzmann equation, an integrodifferential equation established by Boltzmann in 1872 to describe the state of a dilute gas, still forms the basis for the kinetic theory of gases. It has proved fruitful not only for the study of the classical gases Boltzmann had in mind, but also, properly generalized, for electron transport in nuclear reactors, photon transport in superfluids, and radiative transport in planetary and stellar atmospheres. The text presents a unified approach to the problems arising in these different fields, by exploiting similarities whenever they exist and underlining the differences when necessary. But the main exposition is tied to the classical equation established by Boltzmann. Hence the detailed description of applications refers almost exclusively to monatomic neutral gases. Appropiate references are given to papers dealing with similar problems arising in other fields, with particular concern for neutron transport. A unique feature is the detailed consideration of the boundary conditions to be used in connection with the Boltzmann equation. Other topics covered in detail are the derivation of the Boltzmann equation from first principles, the theory of the linearized Boltzmann equation, the use of model equations, and the various regimes of rarefied gas dynamics. In addition to updating the material to 1987, the main improvement over the previous book of the author, "Theory and Application of the Boltzmann equation" is the detailed survey of the use of the techniques of functional analysis in connection with the nonlinear Boltzmann equation, a subject which has greatly progressed in the last ten years. 24 cm. Date: 1987 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

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˜The œgalactic black hole : lectures on general relativity and astrophysics / by Falcke,, H. Publication: [S.l.] : Institute of Physics Publishing, 2002 . 353 p. ; , BrochØ. 24 cm. Date: 2002 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

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˜The œillustrated wavelet transform handbook / by Addison,, Napler. Publication: [S.l.] : Taylor & Francis, 2002 . 400 p. ; , Contents Preface Chapter 1: Getting started Chapter 2: The continuous wavelet transform 2.1 Introduction 2.2 The Wavelet 2.3 Requirements for the Wavelet 2.4 The Energy Spectrum of the Wavelet 2.5 The Wavelet Transform 2.6 Identification of Coherent Structures 2.7 Edge Detection 2.8 The Inverse Wavelet Transform 2.9 The Signal Energy: Wavelet Based Energy and Power Spectra 2.10 The Wavelet Transform in Terms of the Fourier Transform 2.11 Complex Wavelets: The Morlet Wavelet 2.12 The Wavelet Transform, Short Time Fourier Transform and Heisenberg Boxes 2.13 Adaptive Transforms: Matching Pursuits 2.14 Wavelets in Two or More Dimensions 2.15 The CWT: Computation, Boundary Effects and Viewing 2.16 Endnotes 2.16.1 Chapter Key Words and Phrases 2.16.2 Further Resources Chapter 3: The Discrete Wavelet Transform 3.1 Introduction 3.2 Frames and Orthogonal Wavelet Bases 3.2.1 Frames 3.2.2 Dyadic Grid Scaling and Orthonormal Wavelet Transforms 3.2.3 The Scaling Function and the Multiresolution Representation 3.2.4 The Scaling Equation, Scaling Coefficients and Associated Wavelet Equation 3.2.5 The Haar Wavelet 3.2.6 Coefficients from Coefficients: The Fast Wavelet Transform 3.3 Discrete Input Signals of Finite Length 3.3.1 Approximations and Details 3.3.2 The Multiresolution Algorithm - An Example 3.3.3 Wavelet Energy 3.3.4 Alternative Indexing of Dyadic Grid Coefficients 3.3.5 A Simple Worked Example: The Haar Wavelet Transform 3.4 Everything Discrete 3.4.1 Discrete Experimental Input Signals 3.4.2 Smoothing, Thresholding and Denoising 3.5 Daubechies Wavelets 3.5.1 Filtering 3.5.2 Symmlets and Coiflets 3.6 Translation Invariance 3.7 Biorthogonal Wavelets 3.8 Two-Dimensional Wavelet Transforms 3.9 Adaptive Transforms: Wavelet Packets 3.10 Endnotes 3.10.1 Chapter Key Words and Phrases 3.10.2 Further Resources CHAPTER 4: FLUIDS 4.1 Introduction 4.2 Statistical Measures 4.2.1 Moments, Energy and Power Spectra 4.2.2 Intermittency and Correlation 4.2.3 Wavelet Thresholding 4.2.4 Wavelet Selection using Entropy Measures 4.3 Engineering Flows 4.3.1 Jets, Wakes, Turbulence and Coherent Structures 4.3.2 Fluid-Structure Interaction 4.3.3 Two-Dimensional Flow Fields 4.4 Geophysical Flows 4.4.1 Atmospheric Processes 4.4.2 Ocean Processes 4.5 Other Applications in Fluids and Further Resources CHAPTER 5: ENGINEERING TESTING, MONITORING AND CHARACTERISATION 5.1 Introduction 5.2 Machining Processes: Control, Chatter, Wear and Breakage 5.3 Rotating Machinery 5.3.1 Gears 5.3.2 Shafts, Bearings and Blades 5.4 Dynamics 5.5 Chaos 5.6 Non-Destructive Testing 5.7 Surface Characterisation 5.8 Other Applications in Engineering and Further Resources 5.8.1 Impacting 5.8.2 Data Compression 5.8.3 Engines 5.8.4 Miscellaneous CHAPTER 6: MEDICINE 6.1 Introduction 6.2 The Electrocardiogram 6.2.1 ECG Timing, Distortions and Noise 6.2.2 Detection of Abnormalities 6.2.3 Heart Rate Variability 6.2.4 Cardiac Arrhythmias 6.2.5 ECG Data Compression 6.3 Neuroelectric Waveforms 6.3.1 Evoked Potentials and Event-Related Potentials 6.3.2 Epileptic Seizures and Epileptogenic Foci 6.3.3 Classification of the EEG using Artificial Neural Networks 6.4 Pathological Sounds, Ultrasounds and Vibrations 6.4.1 Blood Flow Sounds 6.4.2 Heart Sounds and Heart Rates 6.4.3 Lung Sounds 6.4.4 Acoustic Response 6.5 Blood Flow and Blood Pressure 6.6 Medical Imaging 6.6.1 Ultrasonic Images 6.6.2 Magnetic Resonance Imaging, Computed Tomography and other Radiographic Images 6.6.3 Optical Imaging 6.7 Other Applications in Medicine 6.7.1 Electromyographic Signals 6.7.2 Sleep Apnea 6.7.3 DNA 6.7.4 Miscellaneous 6.7.5 Further Resources CHAPTER 7: FRACTALS, FINANCE, GEOPHYSICS AND OTHER AREAS 7.1 Introduction 7.2 Fractals 7.2.1 Exactly Self-Similar Fractals 7.2.2 Stochastic Fractals 7.2.3 Multifractals 7.3 Finance 7.4 Geophysics 7.4.1 Properties of Subsurface Media 7.4.2 Surface Fea. 26 cm. Date: 2002 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

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The Theory of the Top, 1 by Klein, Felix. Publication: . 1 online resource (296 p.) , Description based upon print version of record. Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

5.
A Course of modern analysis / by Whittaker, E.T. Publication: [S.l.] : Cambridge University Press, 1996 . 616 p. ; , This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as ever. 23 cm. Date: 1996 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

6.
A Gallery of fluid motion / by Samimy,, M. Publication: [S.l.] : Cambridge University Press, 2004 . 128 p. ; , Broché. 30 cm. Date: 2004 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

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An Introduction to scientific computing : twelve computational projects solved with matlab / by Danaila, Ionut. Publication: [S.l.] : Springer, 2006 . 294 p. ; , This book provides twelve computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing. For each project the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussion of numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exercises and guides the reader in using the MATLAB scripts. The mathematical framework provides a basic foundation in the subject of numerical analysis of partial differential equations and main discretization techniques, such as finite differences, finite elements, spectral methods and wavelets). The book is primarily intended as a graduate-level text in applied mathematics, but it may also be used by students in engineering or physical sciences. It will also be a useful reference for researchers and practicing engineers. 24 cm. Date: 2006 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

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Applied shape optimization for fluids / by Mohammadi,, B. Publication: [S.l.] : Oxford University Press, USA, 2001 . 272 p. ; , Deals with shape optimization for fluids, with the equations needed for understanding them, and numerical simulations. Introduces tools of optimal shape design, such as automatic differentiation, approximate gradients, and automatic mesh refinement. 24 cm. Date: 2001 Availability: Items available: La bibliothèque des sciences de l'ingéneur (1),

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Applied stochastic processes / by Lefebvre, Mario. Publication: [S.l.] : Springer, 2006 . 382 p. ; , Applied Stochastic Processes uses a distinctly applied framework to present the most important topics in the field of stochastic processes. Key features: -Presents carefully chosen topics such as Gaussian and Markovian processes, Markov chains, Poisson processes, Brownian motion, and queueing theory -Examines in detail special diffusion processes, with implications for finance, various generalizations of Poisson processes, and renewal processes -Serves graduate students in a variety of disciplines such as applied mathematics, operations research, engineering, finance, and business administration -Contains numerous examples and approximately 350 advanced problems, reinforcing both concepts and applications -Includes entertaining mini-biographies of mathematicians, giving an enriching historical context -Covers basic results in probability Two appendices with statistical tables and solutions to the even-numbered problems are included at the end. This textbook is for graduate students in applied mathematics, operations research, and engineering. Pure mathematics students interested in the applications of probability and stochastic processes and students in business administration will also find this book useful. 23 cm. Date: 2006 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

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Convex analysis / by Rockafellar,, R.T. Publication: [S.l.] : Princeton University Press, 1996 . 469 p. ; , Broché. 23 cm. Date: 1996 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

13.
Differential topology and quantum field theory by Nash, Charles. Publication: Amsterdam Academic Press 2004 . xi, 386 pages. , First published 1991. Date: 2004 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

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Digraphs : theory, algorithms and applications / by Bang-Jensen, Jorgen. Publication: [S.l.] : Springer London Ltd, 2002 . 776 p. ; , BrochØ. 23 cm. Date: 2002 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

15.
Dynamical systems X : general theory of vortices / by Kozlov, V.V. Publication: [S.l.] : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2002 . 190 p. ; , ReliØ. 24 cm. Date: 2002 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

16.
Dynamics of viscous compressible fluids / by Feireisl,, Eduard. Publication: [S.l.] : Oxford University Press, USA, 2004 . 224 p. ; , The book develops the most recent ideas and concepts of the mathematical theory of viscous, compressible and heat conducting fluids. Two main goals are pursued: (I) global existence theory within the framework of variational (weak) solutions for the full system of the Navier-Stokes equations supplemented with large data; and (II) optimal existence results for the barotropic flows with respect to the available a priori estimates. The book is intended to be a compact and self-contained presentation of the most recent results of the mathematical theory of viscous compressible fluids. In order to place the text in better perspective, each chapter is concluded with a section devoted to historical notes including references to all-important and new results. The material is by no means intended to be the last word on the subject but rather to include possible directions of future research. It is aimed at research mathematicians, theoretical physicists, engineers and graduate students. 24 cm. Date: 2004 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

17.
Engineering Mechanics: Dynamics by Hibbeler, R.C Publication: Prentice-Hall 2007 . 736 p Date: 2007 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

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Engineering Mechanics: Dynamics Dynamics study pack: chapter reviews, free-body diagram workbook, problems website by Hibbeler, R.C Publication: Prentice-Hall 2007 . 161 p Date: 2007 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

19.
From vectors to tensors / by Ruiz-Tolosa,, Juan R. Publication: [S.l.] : Springer, 2005 . 550 p. ; , This textbook, deals with tensors that are treated as vectors, and has a practical orientation. In addition to dealing with the classical topics of tensor books, new tensor concepts are introduced, such as the rotation of tensors, the transposer tensor, the eigentensors, the permutation tensor structure, etc. The book covers an existing gap between the classic theory of tensors and the possibility of solving tensor problems with a computer. In fact, the computational algebra is formulated in matrix form to facilitate its implementation on computers. For the first time tensor contraction is formulated in terms of matrix operations. A computer package, written in Mathematica, is available through Internet that complements the book.   In summary, the book is not a standard book on tensors because of its orientation, the many novel contributions included in it, the careful notation and the stretching-condensing techniques used for most of the transformations used in the book. 24 cm. Date: 2005 Availability: Items available: La bibliothèque des Sciences Exactes et Naturelles (1),

20.
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