Numerical analysis Books
Springer New York Number Theory
Book SynopsisThis book deals with several aspects of what is now called "explicit number theory." The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions.Trade ReviewFrom the reviews:"Cohen (Université Bordeaux I, France), an instant classic, uniquely bridges the gap between old-fashioned, naive treatments and the many modern books available that develop the tools just mentioned … . Summing Up: Recommended. … Upper-division undergraduates through faculty." (D. V. Feldman, CHOICE, Vol. 45 (5), January, 2008)"The book deals with aspects of ‘explicit number theory’. … The central theme … is the solution of Diophantine equations. … It combines an interesting ‘philosophy’ of the subject with an encyclopedic grasp of detail. The extension of the author’s reach via the contributed chapters is a good idea. Perhaps it is the start of a trend, as the subject grows more and more. … It will undoubtedly be mined by instructors for their graduate courses, particularly for the purpose of including some recently-proved content." (R. C. Baker, Mathematical Reviews, Issue 2008 e)“This is the second volume of a highly impressive two-volume textbook on Diophantine analysis. … readers are presented with an almost overwhelming amount of material. This … text book is bound to become an important reference for students and researchers alike.” (C. Baxa, Monatshefte für Mathematik, Vol. 157 (2), June, 2009)Table of ContentsAnalytic Tools.- Bernoulli Polynomials and the Gamma Function.- Dirichlet Series and L-Functions.- p-adic Gamma and L-Functions.- Modern Tools.- Applications of Linear Forms in Logarithms.- Rational Points on Higher-Genus Curves.- The Super-Fermat Equation.- The Modular Approach to Diophantine Equations.- Catalan’s Equation.
£44.99
Springer Mathematica in Action
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£66.49
Springer Advances in Numerical Methods
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£85.49
Springer Problems in Real Analysis Advanced Calculus on the Real Axis
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£64.99
Springer Bayesian Computation with R
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£62.99
Springer New York Matrix Analysis
Book SynopsisThis book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities.Trade ReviewR. Bhatia Matrix Analysis "A highly readable and attractive account of the subject. The book is a must for anyone working in matrix analysis; it can be recommended to graduate students as well as to specialists."—ZENTRALBLATT MATH "There is an ample selection of exercises carefully positioned throughout the text. In addition each chapter includes problems of varying difficulty in which themes from the main text are extended."—MATHEMATICAL REVIEWSTable of ContentsI A Review of Linear Algebra.- I.1 Vector Spaces and Inner Product Spaces.- I.2 Linear Operators and Matrices.- I.3 Direct Sums.- I.4 Tensor Products.- I.5 Symmetry Classes.- I.6 Problems.- I.7 Notes and References.- II Majorisation and Doubly Stochastic Matrices.- II.1 Basic Notions.- II. 2 Birkhoff’s Theorem.- II.3 Convex and Monotone Functions.- II.4 Binary Algebraic Operations and Majorisation.- II.5 Problems.- II.6 Notes and References.- III Variational Principles for Eigenvalues.- III.1 The Minimax Principle for Eigenvalues.- III.2 Weyl’s Inequalities.- III.3 Wielandt’s Minimax Principle.- III.4 Lidskii’s Theorems.- III. 5 Eigenvalues of Real Parts and Singular Values.- III.6 Problems.- III.7 Notes and References.- IV Symmetric Norms.- IV.l Norms on ?n.- IV.2 Unitarily Invariant Norms on Operators on ?n.- IV.3 Lidskii’s Theorem (Third Proof).- IV.4 Weakly Unitarily Invariant Norms.- IV.5 Problems.- IV.6 Notes and References.- V Operator Monotone and Operator Convex Functions.- V.1 Definitions and Simple Examples.- V.2 Some Characterisations.- V.3 Smoothness Properties.- V.4 Loewner’s Theorems.- V.5 Problems.- V.6 Notes and References.- VI Spectral Variation of Normal Matrices.- VI. 1 Continuity of Roots of Polynomials.- VI. 2 Hermitian and Skew-Hermitian Matrices.- VI. 3 Estimates in the Operator Norm.- VI. 4 Estimates in the Frobenius Norm.- VI. 5 Geometry and Spectral Variation: the Operator Norm.- VI. 6 Geometry and Spectral Variation: wui Norms.- VI. 7 Some Inequalities for the Determinant.- VI. 8 Problems.- VI. 9 Notes and References.- VII Perturbation of Spectral Subspaces of Normal Matrices.- VII. 1 Pairs of Subspaces.- VII. 2 The Equation AX — XB = Y.- VII. 3 Perturbation of Eigenspaces.- VII. 4 A Perturbation Bound for Eigenvalues.- VII. 5 Perturbation of the Polar Factors.- VII. 6 Appendix: Evaluating the (Fourier) constants.- VII. 7 Problems.- VII. 8 Notes and References.- VIII Spectral Variation of Nonnormal Matrices.- VIII. 1 General Spectral Variation Bounds.- VIII. 4 Matrices with Real Eigenvalues.- VIII. 5 Eigenvalues with Symmetries.- VIII. 6 Problems.- VIII. 7 Notes and References.- IX A Selection of Matrix Inequalities.- IX. 1 Some Basic Lemmas.- IX. 2 Products of Positive Matrices.- IX. 3 Inequalities for the Exponential Function.- IX. 4 Arithmetic-Geometric Mean Inequalities.- IX. 5 Schwarz Inequalities.- IX. 6 The Lieb Concavity Theorem.- IX. 7 Operator Approximation.- IX. 8 Problems.- IX. 9 Notes and References.- X Perturbation of Matrix Functions.- X. 1 Operator Monotone Functions.- X. 2 The Absolute Value.- X. 3 Local Perturbation Bounds.- X. 4 Appendix: Differential Calculus.- X. 5 Problems.- X. 6 Notes and References.- References.
£53.99
Springer Microflows
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£44.99
Springer Analysis of a Finite Element Method PdeProtran
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£85.49
Springer A Guide to Simulation Universitext
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£123.49
Springer The Mathematics of Nonlinear Programming
The Mathematics of Nonlinear Programming | 9780387966144
£60.99
Springer Numerical Mathematics
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£44.99
Springer New York Computational Statistics Statistics and Computing
Book SynopsisComputational inference is based on an approach to statistical methods that uses modern computational power to simulate distributional properties of estimators and test statistics.Trade ReviewFrom the reviews:“This is a book that covers many of the computational issues that statisticians will encounter as part of their research and applied work. … The writing in the book is quite clear and the author has done a good job providing the essence of each topic. … Overall, I think this is an excellent book. … This book will give a graduate student a good overview of the field. There are exercises provided for each chapter together with some solutions.” (Michael J. Evans, Mathematical Reviews, Issue 2011 b)“This book is a superior treatment of the important subject of statistical computing. I strongly recommend this book to anyone who analyzes data using either a commercial statistical software package or statistical computer programs written by the user or someone else. Thus this book is important not only for data oriented statisticians but for econometricians, psychometricians, political methodologists and biometricians as well. … All terms in this work including computing terms are clearly defined.” (Melvin Hinich, Technometrics, Vol. 53 (1), February, 2011)“I greatly appreciated the author’s command of both numerical and statistical computing … . The book also contains many exercises that substantiate the concepts, with solutions and hints in the appendix, an extensive bibliography, and a link to further literature and notes. The target readership includes undergraduates, postgraduates in statistics and allied fields such as computer science and mathematics, scientific research workers, and practitioners of statistics and numerical techniques. … I strongly recommend it for all scientific libraries.” (Soubhik Chakraborty, ACM Computing Reviews, October, 2010)“This book has a very large scope in that … it covers the dual fields of computational statistics and of statistical computing. … must-read for all students and researchers engaging into any kind of serious statistical programming. … is well-written, in a lively and personal style. … a reference book that should appear in the shortlist of any computational statistics/statistical computing graduate course as well as on the shelves of any researchers supporting his or her statistical practice with a significant dose of computing backup.” (Christian P. Robert, Statistical and Computation, Vol. 21, 2011)Table of ContentsPreliminaries.- Mathematical and Statistical Preliminaries.- Statistical Computing.- Computer Storage and Arithmetic.- Algorithms and Programming.- Approximation of Functions and Numerical Quadrature.- Numerical Linear Algebra.- Solution of Nonlinear Equations and Optimization.- Generation of Random Numbers.- Methods of Computational Statistics.- Graphical Methods in Computational Statistics.- Tools for Identification of Structure in Data.- Estimation of Functions.- Monte Carlo Methods for Statistical Inference.- Data Randomization, Partitioning, and Augmentation.- Bootstrap Methods.- Exploring Data Density and Relationships.- Estimation of Probability Density Functions Using Parametric Models.- Nonparametric Estimation of Probability Density Functions.- Statistical Learning and Data Mining.- Statistical Models of Dependencies.
£104.49
Springer An Introduction to Wavelets Through Linear Algebra
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Springer Mechanics
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Springer Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids
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£265.99
Springer Random Processes for Classical Equations of Mathematical Physics 34 Mathematics and its Applications
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Springer Systems of Nonlinear Partial Differential Equations Applications to Biology and Engineering 49 Mathematics and Its Applications
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Springer Numerical Determination of the Electronic Structure of Atoms Diatomic and Polyatomic Molecules 271 Nato Science Series C
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£170.99
Springer Combinatorics Computing and Complexity 1 Mathematics and its Applications
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Springer Applied and Industrial Mathematics Venice 1 1989 Conference Proceedings Mathematics and Its Applications
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Springer Applications of Fibonacci Numbers Volume 3 Proceedings of The Third International Conference on Fibonacci Numbers and Their Applications Pisa Italy July 2529 1988 003
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£85.49
Springer The Numerical Modelling of Nonlinear Stellar Pulsations Problems and Prospects 302 Nato Science Series C
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£237.49
Springer Hausdorff Approximations 50 Mathematics and its Applications
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£92.72
Springer Walsh Series and Transforms Theory and Applications 64 Mathematics and its Applications
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Springer Topics in Computational Algebra
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Springer Numerical Fracture Mechanics 8 Solid Mechanics and Its Applications
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£189.99
Springer Proceedings of the Fifth European Conference on Mathematics in Industry 7 European Consortium for Mathematics in Industry
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Springer Computer Algebra with LISP and REDUCE An Introduction to Computeraided Pure Mathematics 72 Mathematics and Its Applications
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Springer Exponential Sums and their Applications 80 Mathematics and its Applications
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Springer Computational Methods in Hypersonic Aerodynamics 9 Fluid Mechanics and Its Applications
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£170.99
Springer Chaos Resonance and Collective Dynamical Phenomena in the Solar System Proceedings of the 152nd Symposium of the International Astronomical Union International Astronomical Union Symposia
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Springer Chaos Resonance and Collective Dynamical Phenomena in the Solar System Proceedings of the 152nd Symposium of the International Astronomical Union International Astronomical Union Symposia
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Springer Differential and Integral Equations through Practical Problems and Exercises 7 Texts in the Mathematical Sciences
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Springer Algorithms for Elliptic Problems Efficient Sequential and Parallel Solvers 58 Mathematics and its Applications
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Springer Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters Proceedings of the NATO ARW on Asymptoticinduced May 2528 1992 384 Nato Science Series C
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Springer Instabilities and Turbulence in Engineering Flows 16 Fluid Mechanics and Its Applications
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Springer Advanced Multibody System Dynamics Simulation and Software Tools 20 Solid Mechanics and Its Applications
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Springer Spline Functions and Multivariate Interpolations 248 Mathematics and Its Applications
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Springer Bifurcations and Periodic Orbits of Vector Fields Proceedings of the NATO Advanced Study Institute and Seminaire De Mathematiques Superieures 1324 1992 408 Nato Science Series C
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Springer Topics in Applied Mechanics Integration of Theory and Applications in Applied Mechanics
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Springer The Finite Element Method in Structural Mechanics Principles and Practice of Design of Fieldconsistent Elements for Structural and Solid Mechanics 24 Solid Mechanics and Its Applications
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Springer Instabilities and Nonequilibrium Structures IV Workshop Proceedings 267 Mathematics and Its Applications
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Springer Algebraic Systems and Computational Complexity Theory
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Springer The Boundary Element Method 27 Solid Mechanics and Its Applications
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Springer Interior Point Approach to Linear Quadratic and Convex Programming Algorithms and Complexity 277 Mathematics and Its Applications
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Springer Nonlinear Numerical Methods and Rational Approximation II 296 Mathematics and Its Applications
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Springer Convex Functions and Optimization Methods on Riemannian Manifolds 297 Mathematics and Its Applications
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Springer IllPosed Problems Theory and Applications 301 Mathematics and Its Applications
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£78.89
