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1. 

Mathematical Analysis Fundamentals

Mathematical Analysis Fundamentals

By: Agamirza Bashirov

Publisher: Elsevier

Publication Date: 27-MAR-2014

Insert Date: 14-APR-2014

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The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many...

2. 

Understanding Uncertainty, Revised Edition

Understanding Uncertainty, Revised Edition

By: 

Publisher: John Wiley & Sons

Publication Date: 16-DEC-2013

Insert Date: 05-APR-2014

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Praise for the First Edition "...a reference for everyone who is interested in knowing and handling uncertainty." —Journal of Applied Statistics The critically acclaimed First Edition of Understanding Uncertainty provided a study of uncertainty addressed to scholars in all fields, showing that uncertainty could be measured by probability, and that probability obeyed three basic rules that enabled uncertainty to be handled sensibly in everyday life. These ideas were extended to embrace the scientific method and to show how decisions, containing an uncertain element, could be...

3. 

Fast Sequential Monte Carlo Methods for Counting and Optimization

Fast Sequential Monte Carlo Methods for Counting and Optimization

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Publisher: John Wiley & Sons

Publication Date: 04-DEC-2013

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A comprehensive account of the theory and application of Monte Carlo methods Based on years of research in efficient Monte Carlo methods for estimation of rare-event probabilities, counting problems, and combinatorial optimization, Fast Sequential Monte Carlo Methods for Counting and Optimization is a complete illustration of fast sequential Monte Carlo techniques. The book provides an accessible overview of current work in the field of Monte Carlo methods, specifically sequential Monte Carlo techniques, for solving abstract counting and optimization problems. Written by authorities in...

4. 

Moduli Spaces

Moduli Spaces

By: Leticia Brambila-Paz; Peter Newstead; Richard P. W. Thomas; Oscar Garcia-Prada

Publisher: Cambridge University Press

Publication Date: 28-FEB-2014

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Moduli theory is the study of how objects, typically in algebraic geometry but sometimes in other areas of mathematics, vary in families and is fundamental to an understanding of the objects themselves. First formalised in the 1960s, it represents a significant topic of modern mathematical research with strong connections to many areas of mathematics (including geometry, topology and number theory) and other disciplines such as theoretical physics. This book, which arose from a programme at the Isaac Newton Institute in Cambridge, is an ideal way for graduate students and more experienced...

5. 

Computation and Modelling in Insurance and Finance

Computation and Modelling in Insurance and Finance

By: Erik Bølviken

Publisher: Cambridge University Press

Publication Date: 01-MAR-2014

Insert Date: 05-APR-2014

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Focusing on what actuaries need in practice, this introductory account provides readers with essential tools for handling complex problems and explains how simulation models can be created, used and re-used (with modifications) in related situations. The book begins by outlining the basic tools of modelling and simulation, including a discussion of the Monte Carlo method and its use. Part II deals with general insurance and Part III with life insurance and financial risk. Algorithms that can be implemented on any programming platform are spread throughout and a program library written in R...

6. 

The Skew-Normal and Related Families

The Skew-Normal and Related Families

By: Adelchi Azzalini; Antonella Capitanio

Publisher: Cambridge University Press

Publication Date: 31-DEC-2013

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Interest in the skew-normal and related families of distributions has grown enormously over recent years, as theory has advanced, challenges of data have grown, and computational tools have made substantial progress. This comprehensive treatment, blending theory and practice, will be the standard resource for statisticians and applied researchers. Assuming only basic knowledge of (non-measure-theoretic) probability and statistical inference, the book is accessible to the wide range of researchers who use statistical modelling techniques. Guiding readers through the main concepts and...

7. 

Judgment Aggregation

Judgment Aggregation

By: Davide Grossi; Gabriella Pigozzi

Publisher: Morgan & Claypool Publishers

Publication Date: 01-MAR-2014

Insert Date: 04-APR-2014

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Judgment aggregation is a mathematical theory of collective decision-making. It concerns the methods whereby individual opinions about logically interconnected issues of interest can, or cannot, be aggregated into one collective stance. Aggregation problems have traditionally been of interest for disciplines like economics and the political sciences, as well as philosophy, where judgment aggregation itself originates from, but have recently captured the attention of disciplines like computer science, artificial intelligence and multi-agent systems. Judgment aggregation has emerged in the last...

8. 

An Easy Path to Convex Analysis and Applications

An Easy Path to Convex Analysis and Applications

By: Boris S. Mordukhovich; Nguyen Mau Nam

Publisher: Morgan & Claypool Publishers

Publication Date: 01-DEC-2013

Insert Date: 28-MAR-2014

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Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical foundation for convex optimization, having deep knowledge of convex analysis helps students and researchers apply its tools more effectively. The main goal of this book is to provide an easy access to the most fundamental parts of convex analysis and its applications to optimization. Modern techniques of variational analysis are employed to...

9. 

Handbook of Probability

Handbook of Probability

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Publisher: John Wiley & Sons

Publication Date: 04-NOV-2013

Insert Date: 22-MAR-2014

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THE COMPLETE COLLECTION NECESSARY FOR A CONCRETE UNDERSTANDING OF PROBABILITY Written in a clear, accessible, and comprehensive manner, the Handbook of Probability presents the fundamentals of probability with an emphasis on the balance of theory, application, and methodology. Utilizing basic examples throughout, the handbook expertly transitions between concepts and practice to allow readers an inclusive introduction to the field of probability. The book provides a useful format with self-contained chapters, allowing the reader easy and quick reference. Each chapter includes an...

10. 

Computational Aspects of Cooperative Game Theory

Computational Aspects of Cooperative Game Theory

By: Georgios Chalkiadakis; Edith Elkind; Michael Wooldridge

Publisher: Morgan & Claypool Publishers

Publication Date: 01-OCT-2011

Insert Date: 15-MAR-2014

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Cooperative game theory is a branch of (micro-)economics that studies the behavior of self-interested agents in strategic settings where binding agreements among agents are possible. Our aim in this book is to present a survey of work on the computational aspects of cooperative game theory. We begin by formally defining transferable utility games in characteristic function form, and introducing key solution concepts such as the core and the Shapley value. We then discuss two major issues that arise when considering such games from a computational perspective: identifying compact...

11. 

Differential Forms, 2nd Edition

Differential Forms, 2nd Edition

By: Steven H. Weintraub

Publisher: Academic Press

Publication Date: 19-FEB-2014

Insert Date: 15-MAR-2014

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Differential forms are utilized as a mathematical technique to help students, researchers, and engineers analyze and interpret problems where abstract spaces and structures are concerned, and when questions of shape, size, and relative positions are involved. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems through mathematical analysis on a computer. Differential Forms, 2 nd Edition, is a solid resource for students and professionals...

12. 

Introduction to Stochastic Analysis: Integrals and Differential Equations

Introduction to Stochastic Analysis: Integrals and Differential Equations

By: Vigirdas Mackevičius

Publisher: John Wiley & Sons

Publication Date: 15-AUG-2011

Insert Date: 08-MAR-2014

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This is an introduction to stochastic integration and stochastic differential equations written in an understandable way for a wide audience, from students of mathematics to practitioners in biology, chemistry, physics, and finances. The presentation is based on the naïve stochastic integration, rather than on abstract theories of measure and stochastic processes. The proofs are rather simple for practitioners and, at the same time, rather rigorous for mathematicians. Detailed application examples in natural sciences and finance are presented. Much attention is paid to simulation diffusion...

13. 

Guide to Essential Math, 2nd Edition

Guide to Essential Math, 2nd Edition

By: Sy M. Blinder

Publisher: Elsevier

Publication Date: 14-FEB-2013

Insert Date: 28-FEB-2014

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This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly), which is needed to succeed in science courses. The focus is on math actually used in physics, chemistry and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed Illustrations and links to reference material online help further comprehension....

14. 

Agent-Based Modeling and Simulation with Swarm:

Agent-Based Modeling and Simulation with Swarm:

By: Hitoshi Iba

Publisher: Chapman and Hall/CRC

Publication Date: 24-JUN-2013

Insert Date: 26-FEB-2014

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A thorough overview of multi-agent simulation and supporting tools, this book provides the methodology for a multi-agent-based modeling approach that integrates computational techniques such as artificial life, cellular automata, and bio-inspired optimization. It shows how this type of simulation is used to acquire an understanding of complex systems and artificial life. The author carefully explains how to construct a simulation program for various applications. Swarm-based software and source codes are available on his website. ...

15. 

Handbook of Product Graphs, Second Edition

Handbook of Product Graphs, Second Edition

By: Richard Hammack; Wilfried Imrich; Sandi Klavžar

Publisher: CRC Press

Publication Date: 06-JUN-2011

Insert Date: 26-FEB-2014

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This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book’s website. ...

16. 

Smoothing Splines: Methods and Applications

Smoothing Splines: Methods and Applications

By: Yuedong Wang

Publisher: Chapman and Hall/CRC

Publication Date: 22-JUN-2011

Insert Date: 26-FEB-2014

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With many real-world examples, this book shows how to apply the powerful methods of smoothing splines in practice. It covers basic smoothing spline models as well as more advanced models, such as spline smoothing with correlated random errors. It also presents methods for model selection and inference. The author makes the advanced smoothing spline methodology based on reproducing kernel Hilbert space (RKHS) accessible to practitioners and students by keeping theory to a minimum. R is used throughout to implement the methods, with code available for download on the book’s web page. ...

17. 

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

By: Tullio Ceccherini-Silberstein; Fabio Scarabotti; Filippo Tolli

Publisher: Cambridge University Press

Publication Date: 31-DEC-2013

Insert Date: 25-FEB-2014

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This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulation of the little group method. This provides essential tools for the determination of all irreducible representations of wreath products of finite groups. The exposition also includes a detailed harmonic analysis of the finite lamplighter groups, the hyperoctahedral groups, and the wreath...

18. 

A Primer on the Dirichlet Space

A Primer on the Dirichlet Space

By: Omar El-Fallah; Karim Kellay; Javad Mashreghi; Thomas Ransford

Publisher: Cambridge University Press

Publication Date: 31-DEC-2013

Insert Date: 25-FEB-2014

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The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account of the Dirichlet space, assembling results previously only found in scattered research articles, and improving upon many of the proofs. Topics treated include: the Douglas and Carleson formulas for the Dirichlet integral, reproducing kernels, boundary behaviour and capacity, zero sets and...

19. 

Quasiconformal Surgery in Holomorphic Dynamics

Quasiconformal Surgery in Holomorphic Dynamics

By: Bodil Branner; Núria Fagella

Publisher: Cambridge University Press

Publication Date: 31-DEC-2013

Insert Date: 25-FEB-2014

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Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, and it is essential background knowledge for any researcher in the field. In this comprehensive introduction the authors begin with the foundations and a general description of surgery techniques before turning their attention to a wide variety of applications. They demonstrate the different types of surgeries that lie behind many important results in holomorphic dynamics, dealing in particular with Julia sets and the Mandelbrot set. Two of...

20. 

A Course in Mathematical Analysis

A Course in Mathematical Analysis

By: D. J. H. Garling

Publisher: Cambridge University Press

Publication Date: 30-APR-2013

Insert Date: 25-FEB-2014

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The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume I focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and...