Dominic Jordan, Mathematics department, Keele University,
and Peter Smith, Mathematics department, Keele University
Mathematical techniques - An introduction for the engineering, physical, and mathematical sciences Third Edition
0-19-924972-5 (Paperback )
Publication date: May 2002
808 pages, 690 line, 246 mm x 189mm
A new edition of this popular textbook, revised to accomodate the varied backgrounds of students starting degree courses in engineering and sciences
Short, modular chapters make the book flexible so that it can be used on a variety of courses
Over 500 worked examples show how the techniques are used and are useful for the reader tackling the problems
Summary boxes provide easy reference to the key points and aid revision
Emphasis on methods and techniques keeps students moving through the subject
Projects given in the book with Mathematica programs freely available on a website. These encourage students to use symbolic computation
Description
'Review from previous edition This book gives a comprehensive and clear introduction to the mathematics required for the early stages of an undergraduate course in Electrical and Electronic Engineering.' -Alistair Hooking,International Journal of Electrical Engineering Education, Volume 35
The book presents an introduction to mathematical methods for students in the engineering, physical and mathematical sciences. The aim is to cater for students with varied backgrounds in pre-university mathematics. This new edition by this successful writing partnership teaches by example rather than by proofs, and presents summary material clearly.
Readership: Undergraduate students in the engineering, physical and mathematical sciences
Contents
Elementary methods, differentiation, complex numbers
Matrix algebra and vectors
Integration and differential equations
Transforms and Fourier series
Multivariable calculus
Discrete mathematics
Probability and statistics
Projects using symbolic computation
Jean Zinn-Justin,
CEA/Saclay, Service de Physique Theorique, Gif sur Yvette, Franc
Quantum Field Theory and Critical Phenomena Fourth Edition
0-19-850923-5(Hardback )
Publication date: June 2002
Clarendon Press 1072 pages, 84 line illustrations, 240mm x 168mm
Series: International Series of Monographs on Physics
Completely revised fourth edition of a classic text
Fully updated, containing 50% new material, including three new chapters
Emphasis on common aspects of particle physics and critical phenomena
Provides profound understanding of QFT, renormalization group, and their main applications in physics
Website for exercises
Description
Review from previous edition:
"This excellent book offers a systematic presentation of the quantum field theory approach in describing all fundamental interactions in particle physics and the second order phase transition in statistical mechanics" Giuseppe Mussardo, Mathematical Reviews
"...a remarkable achievement..." I. D. Lawrie, Contemporary Physics
"This excellent book is surely destined to become a valuable and standard work of reference." Lewis Ryder, Times Higher Educational Supplement
This is the first book on Quantum Field Theory which emphasizes the common aspects of particle physics and the theory of critical phenomena. This new fourth edition is completely revised, with more than 50% new material added to the OUP classic.
Readership: Theoretical particle physicists and statistical physicists at graduate level and above.
Contents
1 Algebraic Preliminaries
2 Euclidean Path Integrals in Quantum Mechanics
3 Path Integrals in Quantum Mechanics: Generalizations
4 Stochastic Differential Equatons: Langevin, Fokker-Planck Equations
5 Path and Functional Integrals in Quantum Statistical Physics
6 Quantum Evolution: from Particles to Fields
7 Quantum Field Theory: Functional Methods. Perturbation Theory
8 Relativistic Fermions
9 Quantum Field Theory: Divergences and Regularization
10 Introduction to Renormalization Theory. Renormalization Group Equations
11 Dimensional Regularization, Minimal Subtraction: RG Functions
12 Renormalization of Composite Operators. Short Distance Expansion
13 Symmetries and Renormalization
14 The Non-Linear sigma-Model: An Example of a Non-Linear Symmetry
15 General Non-Linear Models in Two Dimensions
16 BRS Symmetry and Stochastic Field Equations
17 From Langevin Equation to Supersymmetry
18 Abelian Gauge Theories
19 Non-Abelian Gauge Theories: Introduction
20 The Standard Model. Anomalies
21 Gauge Theories: Master Equation and Renormalization
22 Classical and Quantum Gravity. Riemannian Manifolds and Tensors
23 Critical Phenomena: General Considerations
24 Mean Field Theory for Ferromagnetic Systems
25 General Renormalization Group. The Critical Theory Near Dimension Four
26 Scaling Behaviour in the Critical Domain
27 Corrections to Scaling Behaviour
28 Non-Magnetic Systems and the (phi squared)squared Field Theory (see TOC for exact title)
29 Calculation of Universal Quantities
30 The O(N) Vector Model for N Large
31 Phase Transitions Near Two Dimensions
32 Two-Dimensional Modes and Bosonization Method
33 The O(2) Classical Spin Model in Two Dimensions
34 Critical Properties of Gauge Theories
35 UV Fixed Points in Quantum Field Theory
36 Critical Dynamics
37 Field Theory in a Finite Geometry: Finite Size Scaling
38 Quantum Field Theory at Finite Temperature: Equilibrium Properties
39 Instantons in Quantum Mechanics
40 Unstable Vacua in Quantum Field Theory
41 Degenerate Classical Minima and Instantons
42 Perturbation Series at Large Orders. Summation Methods
43 Multi-Instantons in Quantum Mechanics
Edited by J. G. McWhirter, Defence Evaluation and Research Agency,Malvern,
and I. K. Proudler, Defence Evaluation and Research Agency,Malvern
Mathematics in Signal Processing V
0-19-850734-8(Hardback )
Publication date: 14 March 2002
Clarendon Press 362 pages, 70, 234mm x 156mm
Series: IMA Conference Series
Collection of up-to-date research and review papers
Excellent reference manual
Contributions from prominent researchers
Description
A selection of papers presented at the four-yearly IMA conference on Mathematics in Signal Processing. Covering a wide range of recent topics, including excellent review papers and original research.
Readership: Graduate students and researchers in signal processing, applied mathematics, electrical engineering, navigation and biomedical applications.
Contents/contributors
1 P. Comon: Tensor Decompositions: State of the ART and Applications
2 P.A. Regalia: Blind Deconvolution and Source Separation
3 L. De Lathauwer, B. De Moor, and J. Vandewalle: An Algebraic Algorithm for Independent Component Analysis with More Sources than Sensors
4 Y. Luo, and J. Chambers: Quasi-Newton Cross-Correlation and Constant Modulus Adaptive Algorithm for Space-Time Blind Equalization
5 M. Davies: Audio Source Separation
6 M. Klajman, and J. A. Chambers: Approximate Joint Diagonalization Based on the Cayley Transform
7 P. Yuvapoositanon, and J. Chambers: An Adaptive Blind CMOE-CMA Receiver for DS-CDMA Systems
8 I. Mann, and S. McLaughlin: Statistics of Impulse Noise in xDSL
9 D.S. Broomhead, J.P. Huke, M.R. Muldoon, and A.G. Brown: Nonlinear Thoughts about Linear Signal Processing
10 M. Anderle, and M. Kirby: An Application of the Maximum Noise Fraction Method to Filtering Noisy Time Series
11 C.-C. Chen, K. Yao, K. Umeno, and E. Biglieri: Applications of Chaotic Dynamical Systems and Ergodic Theory to Spread Spectrum Sequences Design
12 P. Ashwin, and X.-C. Fu: On the Dynamics of Some Nonhyperbolic Area-preserving Piecewise Linear Maps
13 H. Koeppl, and G. Paoli: Nonlinear System Identification of a Broadband Subscriber Line Interface Circuitry using the Volterra Approach
14 S. Chen, and L. Hanzo: Importance Sampling Simulation and Multiple-Hyperplane Realization of the Bayesian Decision Feedback Equalizer
15 J.F. Ralph: Accumulated Evidence and Dimensionality Reduction
16 T.R. Field: Information Geometric Approaches to Acoustic Signal Classification
17 S.P. Luttrell: Using Stochastic Vector Quantizers to Characterize Signal and Noise Subspaces
18 R. Wilson: Multiresolution Gaussian Mixtures for Image Analysis
19 S. Van Huffel: Mathematics in Biomedical Signal Processing
20 Y. Wang, S. Van Huffel, E. Heyvaert, and L. Vanhamme: Automatic Frequency Correction for Quantification of Magnetic Resonance Spectroscopic Images
21 N. Aydin: Time-frequency and Time Scale Analysis of Embolic Signals
22 B. Barkat: Instantaneous Frequency Estimation of Quadratic FM Signals Corrupted by Multiplicative and Additive Noise
23 S. Weiss: Analysis and Fast Implementation of Oversampled Modulated Filter Banks
24 F.T. Luk, S. Qiao, and D. Vandervoorde: Exponential Decomposition and Hankel Matrix
25 J.-P. Delmas: A Robustness Property of Algorithms Using Second-Order Statistics
26 S.D. Hayward: Bias/Variance Trade-Offs in Direction of Arrival Estimation Using Sensor Arrays
27 Y. Meurisse, and J.-P. Delmas: Robustness of Narrowband DOA Algorithms with Respect to Signal Bandwidth
28 C.Z.W. Hassell Sweatman, J.S. Thompson, B. Mulgrew, and P.M. Grant: A Mathematical Representation and Comparison of Detectors for Wireless Communication using Multiple Antennas
29 C.R. Baker: Likelihood Ratio Methods for Underwater Acoustics Signal Detection
30 M.D. Macleod: Solution of The General Harmonic Estimation Problem (High-Resolution Sinusoid Parameter Estimation)
Steffen L. Lauritzen,
Professor of Mathematics and Statistics, Aalborg University, Denmark
Thiele: Pioneer in Statistics
0-19-850972-3 (Hardback )
Publication date: 18 July 2002
Clarendon Press 288 pages, 10 halftone, 234mm x 156mm
Contains the first translations into English of Thiele's main work in statistics
Includes modern articles commenting on Thiele's work
Contains footnotes that explain the texts and set them in perspective
Detailed index and cross referencing
Commences with an introduction giving a broad overview of Thiele's work
Description
This book studies the brilliant Danish 19th Century astronomer, T.N. Thiele who made important contributions to statistics, actuarial science, astronomy and mathematics. The most important of these contributions in statistics are translated into English for the first time, and the text includes comments that set his achievements in a modern and historical perspective.
Readership: Graduate students and researchers in the History of Statistics, the History of Science, and those interested in the historical aspects of Mathematical Statistics.
Contents/contributors
1 S.L. Lauritzen: Introduction to Thiele
2 T.N. Thiele: On the Application of the Method of Least Squares to some Cases, in which a Combination of Certain Types of Inhomogeneous Random Sources of Errors gives these a "Systematic" Character
3 S.L. Lauritzen: Time Series Analysis in 1880: A Discussion of Contributions made by T.N. Thiele
4 T.N. Thiele: The General Theory of Observations: Calculus of Probability and the Method of Least Squares
5 A. Hald: T.N. Thiele's Contributions to Statistics
6 T.N. Thiele: On the Halfinvariants of the Theory of Observations
7 A. Hald: The Early History of Cumulants and the Gram-Charlier Series
8 S.L. Lauritzen: Epilogue
Bibliography
Index
Benoit Perthame, Ecole Normale Superieure, Paris
Kinetic Formulation of Conservation Laws
0-19-850913-8 (Hardback )
Publication date: July 2002
Clarendon Press 208 pages, 4, 234mm x 156mm
Series: Oxford Lecture Series in Mathematics and its Applications
Presented with enough details to allow for use as an upper-level textbook
Contains both theoretical and numerical material
Includes a section with open problems
Relates kinetic theory and laws of conservation
Description
"Kinetic Formulation has received wide attention and Perthame is the person most responsible for it." T-P Liu, Department of Mathematics, Stanford, CA
"A well-known expert, who made some of the key breakthroughs in this area." A Bressan, SISSA, Trieste, Italy
"It has been known within the community that Benoit Perthame is writing such a book. The book is anticipated from the community and expected to fill a gap in the literature." A Tzavaras, Department of Mathematics, University of Wisconsin-Madison
Written by a well-known expert in the field, the focus of this book is on an innovative mathematical theory which applies to classical models of physics such as shock waves and balance laws. The text is based on early works in common with P.L. Lions (field medalist).
Readership: This book will be of interest to researchers in partial differential equations, graduate level students, and engineers involved in the field of partial differential equations.
Contents
Foreword
1 A brief overview of the kinetic approach
2 The function chi, entropies and representation of nonlinear functions
3 Kinetic formulation of multidimensional scalar conservation laws
4 Uniqueness of solutions to scalar conservation laws and consequences
5 Compactness, cancellation of oscillations and averaging lemmas
6 Kinetic schemes for SCL
7 Isentropic gas dynamics
8 Kinetic schemes for gas dynamics
Appendices