A publication of the Societe Mathematique de France
Documenta Mathematiques Volume: 19
2022; 691 pp; Softcover
MSC: Primary 55; 57; 14; 32;
Print ISBN: 978-2-85629-942-5
Product Code: SMFDM/19
This last volume of Rene Thom's complete mathematical works contains the Fermi lectures Modeles mathematiques de la morphogenese given at the Scuola Normale Superiore di Pisa in 1971, followed by articles published between 1972 and 1997, together with previously unpublished texts and comments putting the whole into perspective. As in Volume II, this volume includes references presenting a wealth of imbrication between very innovative mathematics and their applications. Many of them reflect the extraordinary success of catastrophe theory in the seventies. The volume begins with an updated bibliography of Thom's works.
A publication of the Societe Mathematique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
Format: Hardback, 420 pages, height x width: 229x152 mm
Series: Handbook of Statistics ,vol. 46
Pub. Date: 01-Jul-2022
ISBN-13: 9780323913454
Geometry and Statistics, Volume 46 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors.
Provides the authority and expertise of leading contributors from an international board of authors
Presents the latest release in the Handbook of Statistics series
Updated release includes the latest information on Geometry and Statistics
Contributors in this volume include: Frederic Barbaresco Mark Girolami Wolfgang Stummer Salem Said Ke Sun Xavier Pennec Donald Martin Paul Marriott Steven G. Krantz Frank Nielsen Arni S.R. Srinivasa Rao
Format: Hardback,
257 pages, height x width: 235x155 mm,
weight: 646 g, 3 Illustrations, black and white;
XXIV, 257 p. 3 illus., 1 Hardback
Series: Indian Statistical Institute Series
Pub. Date: 09-May-2022
ISBN-13: 9789811914171
As a comprehensive textbook in survey sampling, this book discusses the inadequacies of classic, designed-based inferential procedures and provides alternative approaches in the form of model formulations, model-design-based procedures of analysis, inference and interpretation. The book focuses on a wide range of topics which included Bayesian and Empirical Bayesian approaches, complex procedures of stratification, clustering, sampling in multi stages and phases, linear and non-linear estimation of parameters, small area estimation by spatial and chronological modelling, network and adaptive sampling methods and more. The book includes detailed case studies and exercises, making it valuable for students of statistics, specifically survey sampling.
1. Meaning and purpose of Survey Sampling.-
2. Inference in Survey Sampling.-
3. Sampling with Varying Probabilities.-
4. Fixing the size of an Equal Probability Sample.-
5. Adjusting Unit-Nonresponse by weighting & Tackling Item-Nonresponse by Imputation.-
6. Randomized Response & Indirect Survey Techniques.-
7. Super-Population Modeling. Model-Assisted Approach.Asymptotics.-
8. Prediction Approach: Robustness, Bayesian Methods, Empirical Bayes.-
9. Small Area Estimation & Developing Small Domain Statistics.-
10. Estimation of non-linear Parametric functions.-
11. Permanent random numbers, Poisson Sampling and Collocated Sampling.-
12. Network and Adaptive Sampling.-
13. Fixing size of a sample in Complex Strategies.-
14. Inadequate and Multiple Frame Data and Conditional Inference.-
15. Study of Analytical Surveys.- An Epilogue.- References.
Format: Hardback, 855 pages, height x width: 235x155 mm,
32 Illustrations, color; 94 Illustrations, black and white;
XIV, 855 p. 126 illus., 32 illus. in color., 1 Hardback
Series: UNITEXT for Physics
Pub. Date: 07-Aug-2022
ISBN-13: 9783030995577
This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed.
The book covers modern developments in the field of Feynman integrals. Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is aimed at a) students at the master's level in physics or mathematics, b) physicists who want to learn how to calculate Feynman integrals (for whom state-of-the-art techniques and computations are provided), and c) mathematicians who are interested in the mathematical aspects underlying Feynman integrals. It is, indeed, the interwoven nature of their physical and mathematical aspects that make Feynman integrals so enthralling.
Format: Hardback, 172 pages, height x width: 235x155 mm,
7 Tables, color; 1 Illustrations, color; 3 Illustrations, black and white;
XI, 172 p. 4 illus., 1 illus. in color., 1 Hardback
Series: Bocconi & Springer Series 10
Pub. Date: 14-Jul-2022
ISBN-13: 9783031013102
This book is not a research monograph about Malliavin calculus with the latest results and the most sophisticated proofs. It does not contain all the results which are known even for the basic subjects which are addressed here. The goal was to give the largest possible variety of proof techniques. For instance, we did not focus on the proof of concentration inequality for functionals of the Brownian motion, as it closely follows the lines of the analog result for Poisson functionals. This book grew from the graduate courses I gave at Paris-Sorbonne and Paris-Saclay universities, during the last few years. It is supposed to be as accessible as possible for students who have knowledge of Ito^ calculus and some rudiments of functional analysis.
1 Wiener space.- 2 Gradient and divergence.- 3 Wiener chaos.- 4 Fractional Brownian motion.- 5 Poisson space.- 6 The Malliavin-Stein method.
Format: Hardback, 410 pages, height x width: 254x178 mm,
100 Illustrations, black and white;
XX, 410 p. 100 illus., 1 Hardback
Series: Solitons
Pub. Date: 06-Jul-2022
ISBN-13: 9781071624562
This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., Kadomtsev-Petviashvili (KP), Klein-Gordon (KG), Sine-Gordon (SG), Non-Linear Schrodinger (NLS), Korteweg-de-Vries Burgerfs (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iteration Method (VIM), Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM). Other non-analytic methods use the computational techniques available in such popular mathematical packages as Mathematica, Maple, and MATLAB.
The main purpose of this volume is to provide physicists, engineers, and their students with the proper methods and tools to solve the soliton equations, and to discover the new possibilities of using solitons in multi-disciplinary areas ranging from telecommunications to biology, cosmology, and oceanographic studies.
Nonlinear Water Waves and Nonlinear Evolution Equations with ApplicationsInverse Scattering Transform and the Theory of SolitonsKorteweg-de Vries Equation (KdV), Different Analytical Methods for Solving theKorteweg-de Vries Equation (KdV), History, Exact N-Soliton Solutions and Further Properties of theSemi-analytical Methods for Solving the KdV and mKdV EquationsKorteweg-de Vries Equation (KdV), Some Numerical Methods for Solving theNonlinear Internal WavesPartial Differential Equations that Lead to SolitonsShallow Water Waves and Solitary WavesSoliton PerturbationSolitons and CompactonsSolitons: Historical and Physical IntroductionSolitons InteractionsSolitons, Introduction toSolitons, Tsunamis and Oceanographical Applications ofWater Waves and the Korteweg-de Vries EquationSoliton Solutions for Some Nonlinear Water Wave Dynamical ModelsAnalytical Soliton Solutions for Some Nonlinear Dynamical Water Waves ModelsSoliton Propagation in Solids: Advances and ApplicationsApplications of lump and interaction soliton solutions to the model of liquid crystals and nerve fibersPeriodic cross-kink, rogue-waves, and lump interaction soliton solutions with kink and periodic waves for fractional Bogoyavlenskii equationDouble Tchebyshev spectral tau algorithm for solving KdV equation, with soliton application