Probability and statistics

The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds.

One of the most important subjects for all engineers and scientists is probability and statistics.

This text is intended as an introduction to mathematical proofs for students.

This is an introductory book on discrete statistical distributions and its applications.

Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems.

The subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering.

This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications.

This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums.

This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions.

Introduction to Statistics Using R is organized into 13 major chapters.

The inverse obstacle scattering problem consists of finding the unknown surface of a body (obstacle) from the scattering ,,,,(,,,,;,,,,;,,,,), where ,,,,(,,,,;,,,,;,,,,) is the scattering amplitude, ,,,,;,,,, ,,,, ,,,,2 is the direction of the scattered, incident wave, respectively, ,,,,2 is the unit sphere in the R and k > 0 is the modulus of the wave vector.

This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs).

Book IV continues the discussion begun in the first three volumes.

This book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric.

This book is an introduction to methods for solving partial differential equations (PDEs).

Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering.

Differential Geometry is a wide field.

This book assumes the students know some of the basic facts about Calculus.

Differential Geometry is a wide field.

Differential Geometry is a wide field.

Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications.

Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with the metric structure.

The Second Edition of this popular book on practical mathematics for engineers includes new and expanded chapters on perturbation methods and theory.

This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China.

This book is intended as an undergraduate text introducing matrix methods as they relate to engineering problems.

This book treats all of the most commonly used theories of the integral.

Statistics is the activity of inferring results about a population given a sample.

This is a short book on the fundamental concepts of the no-arbitrage theory of pricing financial derivatives.

Jordan Canonical Form (JCF) is one of the most important, and useful, concepts in linear algebra.

This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry.

The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student.

Jordan Canonical Form (JCF) is one of the most important, and useful, concepts in linear algebra.

The text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis.

In the past decade, social media has become increasingly popular for news consumption due to its easy access, fast dissemination, and low cost.

Unstructured text, as one of the most important data forms, plays a crucial role in data-driven decision making in domains ranging from social networking and information retrieval to scientific research and healthcare informatics.

This book presents pattern-based problem-solving methods for a variety of machine learning and data analysis problems.

The real-world data, though massive, is largely unstructured, in the form of natural-language text.

Graphs naturally represent information ranging from links between web pages, to communication in email networks, to connections between neurons in our brains.

A lot of digital ink has been spilled on "e;big data"e; over the past few years.

Many scientific disciplines rely on observational data of systems for which it is difficult (or impossible) to implement controlled experiments.

In recent years, there has been a rapid growth of location-based social networking services, such as Foursquare and Facebook Places, which have attracted an increasing number of users and greatly enriched their urban experience.

The "e;big data"e; era is characterized by an explosion of information in the form of digital data collections, ranging from scientific knowledge, to social media, news, and everyone's daily life.

Social media shatters the barrier to communicate anytime anywhere for people of all walks of life.

What does the Web look like?

Real-world physical and abstract data objects are interconnected, forming gigantic, interconnected networks.

This synthesis lecture provides a survey of work on privacy in online social networks (OSNs).

The past decade has witnessed the emergence of participatory Web and social media, bringing people together in many creative ways.

This book offers a comprehensive overview of the various concepts and research issues about blogs or weblogs.