Part of Acta Numerica
DATE PUBLISHED: June 2018
Available FORMAT: Hardback
ISBN: 9781108470520
Acta Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.
Offers a high-impact survey volume on numerical analysis and scientific computing
Contains contributions from leading researchers
Covers topics of current interest and presents state-of-the-art overviews
1. Modern regularization methods for inverse problems Martin Benning and Martin Burger
2. Geometric integrators and the Hamiltonian Monto Carlo method Nawaf Bou-Rabee and J. M. Sanz-Serna
3. Numerical methods for nonlinear equations C. T. Kelley
4. Finite-volume schemes for shallow-water equations Alexander Kurganov
5. Adaptive multiscale predictive modelling J. Tinsley Oden.
Part of Institute of Mathematical Statistics Textbooks
PUBLICATION PLANNED FOR: June 2019
Not yet published - available from June 2019
FORMAT: Hardback ISBN: 9781108481038
FORMAT: Paperback ISBN: 9781108703741
Meaningful use of advanced Bayesian methods requires a good understanding of the fundamentals. This engaging book explains the ideas that underpin the construction and analysis of Bayesian models, with particular focus on computational methods and schemes. The unique features of the text are the extensive discussion of available software packages combined with a brief but complete and mathematically rigorous introduction to Bayesian inference. The text introduces Monte Carlo methods, Markov chain Monte Carlo methods, and Bayesian software, with additional material on model validation and comparison, transdimensional MCMC, and conditionally Gaussian models. The inclusion of problems makes the book suitable as a textbook for a first graduate-level course in Bayesian computation with a focus on Monte Carlo methods. The extensive discussion of Bayesian software - R/R-INLA, OpenBUGS, JAGS, STAN, and BayesX - makes it useful also for researchers and graduate students from beyond statistics.
1. Bayesian inference
2. Representation of prior information
3. Bayesian inference in basic problems
4. Inference by Monte Carlo methods
5. Model assessment
6. Markov chain Monte Carlo methods
7. Model selection and transdimensional MCMC
8. Methods based on analytic approximations
9. Software.
Hardback
Published February 11, 2019
Reference - 266 Pages - 86 B/W Illustrations
ISBN 9781138601031 - CAT# K387948
The equations of mathematical physics are the mathematical models of the large class of phenomenon of physics, chemistry, biology, economics, etc. In Sequential Models of Mathematical Physics, the author considers the justification of the process of constructing mathematical models. The book seeks to determine the classic, generalized and sequential solutions, the relationship between these solutions, its direct physical sense, the methods of its practical finding, and its existence.
Describes a sequential method based on the construction of space completion, as well as its applications in number theory, the theory of distributions, the theory of extremum, and mathematical physics
Presentation of the material is carried out on the simplest example of a one-dimensional stationary heat transfer process; all necessary concepts and constructions are introduced and illustrated with elementary examples, which makes the material accessible to a wide area of readers
The solution of a specific mathematical problem is obtained as a result of the joint application of methods and concepts from completely different mathematical directions
I Mathematical physics problems
1 Classic models
2 Generalized models
II Sequential method
3 Convergence and Cauchy principle
4 Completeness and real numbers
5 Real numbers and completion
III Sequential objects
6 p-adic numbers
7 Sequential controls
8 Distributions
IV Sequential models
9 Sequential models of mathematical physics phenomenon
Hardback
March 26, 2019 Forthcoming
Reference - 162 Pages - 9 B/W Illustrations
ISBN 9780367138066 - CAT# K409990
Series: Mathematics and its Applications
Theoretically, the subject of "Tensor calculus" is critical for students to under understand for the complex nature of uses of subscripts and superscripts. Besides the lack of knowledge about the fields of application, this poses rather more difficulty to learn the concepts. The elegant nature of description of the theory with specific style of changing the suffixes and prefixes and reasons to recover meaningful results of the subsequent fields will inspire the readers for the book. Special techniques are adopted in the book to remove confusion from the minds (as inferred from practical experience) of students/readers for pure knowledge.
For absolute understanding of the subject clear indication on where to change the suffix in terms and to what, are given with directions (hints) in respective terms. Moreover, this book distinguishes different classes of tensors; pictorial representations are furnished as well. Without identification of non-isotropic media where application of tensors is inevitable, researchers /readers cannot use it in true sense. For this purpose, the Chapter 7 is included for step-by-step evolution of the branch. To amplify the uses of tensors in gravitationally distorted space-time of General Theory of Relativity and in non-isotropic media like viscous fluids and physical bodies with elasticity including Structural Geology, Chapter 7 is developed to infuse real interest in to the minds of readers.
Provides a clear indication and understanding of the subject on how to change suffixes
Describes the original evolution of symbols necessary for tensors
Offers a pictorial representation of referential systems required for different kinds of tensors for physical problems
Presents the correlation between critical concepts
1. Pre-requisites for Tensors. 2. Concept of Tensors. 3. Riemannian Metric and Fundamental Tensors. 4. Christoffel Three Index Symbols (Brackets) and Covariant Differentiation. 5. Properties of Curves in Vn and Geodesics. 6. Riemann Symbols (Curvature Tensors). 7A. Applications of Tensors in General Theory of Relativity. 7B. Tensors in Continuum Mechanics. 7C. Application in Geology. 7D. Tensors in Fluid Dynamics.
Paperback
ISBN 9781138063495
Hardback
ISBN 9781138063518
March 18, 2019 Forthcoming
Textbook - 146 Pages - 40 B/W Illustrations
Series: Textbooks in Mathematics
This text is meant to be a hands-on lab manual that can be used in class everyday to guide the exploration of the theory and applications of linear algebra. For the most part, labs can be used individually or in a sequence. Each lab consists of and explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections.The exercise sections integrate problems using Mathematica demonstrations (an online tool that can be used with an browser with java capabilities) and Matlab coding. This allows students to discover the theory and applications of linear algebra in a meaningful and memorable way
Preface ix; 1 Limits and Continuity 1; 2 Derivatives and Their Applications;3 Areas, Integrals, and Accumulation; 4 Applications of AntiderivativesMathematica Demonstrations and References; Index