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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

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1-10 of 3351 results in All results

Mathematical Modelling in Bioscience

  • 1st Edition
  • December 1, 2099
  • Hemen Dutta
  • English
Mathematical Modeling in Bioscience: Theory and Applications provides readers with the tools and techniques needed for mathematical modeling in bioscience. The book concentrates on larger elements of mathematical modeling in bioscience, including topics such as modeling of the Topp-Leone new power generalized Weibull-G distribution family, vector-borne disease modeling, transmission modeling of SARS-COV-2 among other infectious diseases, pattern formulation models, compartmental models for HIV/AIDS transmission, population models, irrigation scheduling models, and predator-prey models. Readers will discover a variety of new methods, approaches, and techniques, as well as a wide range of applications demonstrating key concepts in bioscience modeling. The book provides a leading-edge resource for researchers in a variety of scientific fields who are interested in mathematical modeling, including mathematics, statistics, biology, biomedical engineering, computer science, and applied sciences.

Statistical Process Capability Indices with Industrial Applications

  • 1st Edition
  • December 1, 2099
  • Muhammad Aslam + 2 more
  • English
Statistical Process Capability Indices with Industrial Applications explores new statistical methods that have been developed and applied during the past several years in various industries dealing with manufacturing and production. This book introduces various sampling schemes that can be applied for product inspection in various fields and especially in manufacturing industry. The use of inspection schemes has been found to be helpful in reducing the cost and time of inspection, hence, this book will be useful to the scientific community and industries dealing with manufacturing, inspection, and production. Industrial engineers, academics, quality services companies, graduate and post-graduate students, and environmental engineers interested to learn about advanced inspection schemes using process capability indices will benefit from the book.

Computational Mechanics

  • 1st Edition
  • December 31, 2029
  • Peter Edvard Gustaf Hansbo
  • English
Computational Mechanics: Continuous and Discrete Models for Solids, Fluids and Structures offers a unified presentation of continuum mechanical models and their discrete counterparts, giving a deeper understanding of the relationship that exists between the main numerical methods, finite element methods, and finite volume methods, also presenting the advantages and shortcomings of each. This book shows, with the use of MATLAB code snippets, how to implement the methods described for all types of different problems, including linear and nonlinear, stationary and time dependent, and solids and fluids, all presented for the typical common finite element, finite volume, and time stepping methods.

Linear Programming

  • 1st Edition
  • December 31, 2029
  • Jouhaina Siala Chaouachi + 1 more
  • English
Linear Programming is a must-have guide for students, researchers, and academics seeking to understand the fundamentals of linear programming, as well as its many applications. Operations research involves the use of management skills, knowledge of the economy, and mathematical application. Linear programming lies at the heart of operations research and is a valuable tool for modeling and solving linear optimization problems. This book covers the essential elements of linear programming, including modeling management situations in diverse contexts. Features definitions, didactical examples, and exercises with detailed correction. The author provides easy-to-follow mathematical formulations of an economic problem and describes how to use the tools of linear programming to solve it. The economic interpretation of the obtained results is also included.

Structures and Forms in Spatial Data

  • 1st Edition
  • December 1, 2029
  • Radu Stoica
  • English
This book presents probabilistic and statistical tools to answer the question "what is the forms that is hidden in data". We focused on the developments of those points:-stochastic modeling: what is the form that is sought?-MCMC type simulation: how to implement the form?-Statistical inference and evaluation: how to detect the form, what are the parameters of the form, Does the form found really exist?

Local Perturbations of the Steady States in the Population Dynamics

  • 1st Edition
  • January 1, 2029
  • Michael Cranston + 2 more
  • English
Local Perturbations of the Steady States in the Population Dynamics studies the connection between spectral theory of discrete operators on the integer lattice and particle dynamics of branching Markov chains associated to this operator. In a novel direction, a connection to phase transitions of pinned polymer models is examined.

Branching Processes in Random Environment

  • 1st Edition
  • January 1, 2029
  • Gotz Kersting + 1 more
  • English
Branching Processes in Random Environment provides a unique and new approach to study branching processes in random environments. Branching processes in random environment are an important direction of the general theory of branching processes which, in turn, is a well-developed part of probability theory having various applications in physics and biology. There are several books devoted to the theory of branching processes; however, the theory of branching processes in random environments is not examined in-depth in those books. During the last two decades essential progress was achieved in this field in particular, due primarily to the authors' efforts.

Controlled Branching Processes

  • 1st Edition
  • January 1, 2029
  • Miguel González Velasco + 2 more
  • English
Controlled Branching Processes provides a comprehensive discussion of the available results for discrete time branching processes with random control functions. The independence of individuals’ reproduction is a fundamental assumption in the classical branching processes. Alternatively, the controlled branching processes (CBPs) allow the number of reproductive individuals in one generation to decrease or increase depending on the size of the previous generation. Generating a wide range of behaviors, the CBPs have been successfully used as modeling tools in diverse areas of applications.