## Introduction to Probability (Cambridge Mathematical Textbooks)

This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random…

## From Probability to Finance: Lecture Notes of BICMR Summer School on Financial Mathematics (Mathematical Lectures from Peking University)

This volume presents a collection of lecture notes of mini-courses taught at BICMR Summer School of Financial Mathematics, from May 29 to June 9, 2017. Each chapter is self-contained and corresponds to one mini-course which deals with a distinguished topic, such as branching processes, enlargement…

## Advances in Fluid Mechanics and Solid Mechanics: Proceedings of the 63rd Congress of ISTAM 2018 (Lecture Notes in Mechanical Engineering)

This book comprises select proceedings of the 63rd Congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM) held in Bangalore, in December 2018. Latest research in computational, experimental, and applied mechanics is presented in the book. The chapters are broadly classified into two…

## Distribution-Free Methods for Statistical Process Monitoring and Control

This book explores nonparametric statistical process control. It provides an up-to-date overview of nonparametric Shewhart-type univariate control charts, and reviews the recent literature on nonparametric charts, particularly multivariate schemes. Further, it discusses observations tied to the monitored population quantile, focusing on the Shewhart Sign chart….

## Probability: Theory and Examples (Cambridge Series in Statistical and Probabilistic Mathematics) Ed 5

This lively introduction to measure-theoretic probability theory covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. Concentrating on results that are the most useful for applications, this comprehensive treatment is a rigorous graduate text and reference….

## Elementary Differential Equations: Applications, Models, and Computing (Textbooks in Mathematics) Ed 2

Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the way the topic has been taught in introductory courses has barely changed to reflect…

## Linear and Integer Optimization: Theory and Practice, Third Edition (Advances in Applied Mathematics) Ed 3

Presenting a strong and clear relationship between theory and practice, Linear and Integer Optimization: Theory and Practice is divided into two main parts. The first covers the theory of linear and integer optimization, including both basic and advanced topics. Dantzig’s simplex algorithm, duality, sensitivity analysis,…

## Method of Lines PDE Analysis in Biomedical Science and Engineering

Presents the methodology and applications of ODE and PDE models within biomedical science and engineering With an emphasis on the method of lines (MOL) for partial differential equation (PDE) numerical integration, Method of Lines PDE Analysis in Biomedical Science and Engineering demonstrates the use of…

## Sampling: Design and Analysis (Chapman & Hall/CRC Texts in Statistical Science) Ed 2

This edition is a reprint of the second edition published by Cengage Learning, Inc. Reprinted with permission. What is the unemployment rate? How many adults have high blood pressure? What is the total area of land planted with soybeans? Sampling: Design and Analysis tells you…

## Moving Boundary PDE Analysis: Biomedical Applications in R

Mathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and biochemical concentrations and cell densities, as…

## R For College Mathematics and Statistics

R for College Mathematics and Statistics encourages the use of R in mathematics and statistics courses. Instructors are no longer limited to “nice” functions in calculus classes. They can require reports and homework with graphs. They can do simulations and experiments. R can be useful…

## Non-perturbative Renormalization Group Approach to Some Out-of-Equilibrium Systems: Diffusive Epidemic Process and Fully Developed Turbulence (Springer Theses)

This thesis presents the application of non-perturbative, or functional, renormalization group to study the physics of critical stationary states in systems out-of-equilibrium. Two different systems are thereby studied. The first system is the diffusive epidemic process, a stochastic process which models the propagation of an…

## Spatial Analysis for the Social Sciences (Analytical Methods for Social Research)

Many theories in the social sciences predict spatial dependence or the similarity of behaviors at neighboring locations. Spatial Analysis for the Social Sciences demonstrates how researchers can diagnose and model this spatial dependence and draw more valid inferences as a result. The book is structured…

## Introduction to Time Series Analysis and Forecasting

An accessible introduction to the most current thinking in and practicality of forecasting techniques in the context of time-oriented data. Analyzing time-oriented data and forecasting are among the most important problems that analysts face across many fields, ranging from finance and economics to production operations…

## Improved Classification Rates for Localized Algorithms under Margin Conditions

Support vector machines (SVMs) are one of the most successful algorithms on small and medium-sized data sets, but on large-scale data sets their training and predictions become computationally infeasible. The author considers a spatially defined data chunking method for large-scale learning problems, leading to so-called…

## Regularization Algorithms for Ill-Posed Problems (Inverse and Ill-posed Problems)

This specialized and authoritative book presents the state of the art on iterative algorithms and methods for the regularization of a variety of ill-posed problems. Topics covered include iterative regularization of linear and nonlinear operator equations in Hilbert and Banach spaces, regularization of ill-posed Cauchy…

## Introduction to the Mathematical Structure of Quantum Mechanics, An: A Short Course for Mathematicians (2nd Edition) (Advanced Series in Mathematical Physics) Ed 2

The second printing contains a critical discussion of Dirac derivation of canonical quantization, which is instead deduced from general geometric structures. This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. The mathematical structure…

## Reviews of Accelerator Science and Technology: Volume 1

Particle accelerators are a major invention of the 20th century. In the last eight decades,they have evolved enormously and have fundamentally changed the way we live, think and work. Accelerators are the most powerful microscopes for viewing the tiniest inner structure of cells, genes, molecules,…

## Foundation Mathematics for Computer Science: A Visual Approach Ed 2

In this second edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the original book and written new chapters on combinatorics, probability, modular arithmetic and complex numbers. These subjects complement the existing chapters on number systems, algebra, logic, trigonometry, coordinate systems,…

## Networking and Computation: Technology, Modeling and Performance Ed 2

This useful volume adopts a balanced approach between technology and mathematical modeling in computer networks, covering such topics as switching elements and fabrics, Ethernet, and ALOHA design. The discussion includes a variety of queueing models, routing, protocol verification and error codes and divisible load theory,…

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