Applied mathematics Books

This book bridges a very clear gap between the knowledge gained over the last 20 years in the physical and life sciences about network theory, organ synchronicity and communication, the understanding of fractal signatures in health and disease, and the...

This book is written for undergraduate and graduate students in Earth and Environmental sciences. It is intended to give students enough background in linear algebra to work with systems of equations and data in geology, hydrology, geophysics, or...

This book is directed to the computer-based modeling of chemotaxis inflammation, typically resulting from an infection by a pathogen (e.g., bacteria, viruses). The book has particular relevance to the coronavirus pandemic since long-Covid neurological...

Mathematical Modeling in Biology: A Research Methods Approach is a textbook written primarily for advanced mathematics and science undergraduate students and graduate-level biology students. Although the applications center on ecology, the expertise of...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

Solids subjected to sufficiently large loads undergo plastic strain that does not vanish after unloading

This series on the International Conference on Difference Equations and Applications has established a tradition within the mathematical community. It brings together scientists from many different areas of research to highlight current interests,...

Fourier analysis is one of the most important concepts when you apply physical ideas to engineering issues. This book provides a comprehensive understanding of Fourier transform and spectral analysis in optics, image processing, and signal processing.

The prolonged boom in the US and European stock markets has led to increased interest in the mathematics of security markets, most notably in the theory of stochastic integration. This text gives a rigorous development of the theory of stochastic...

This book is devoted to the systematic exposition of the contemporary theory of controlled Markov processes with discrete time parameter or in another termi­ nology multistage Markovian decision processes. We discuss the...

​Waves in Neural Media: From Single Neurons to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The work provides a...

This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates...

Mathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large...

This book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intended audience is researchers...

Preface * Ackn. * Prologue * Part I: Simple Single-Species Models * 1 Continuous Population Models * 2 Discrete Population Models * 3 Continuous single-species Population Models with Delays * Part II: Models for Interacting Species * 4 Introduction and...

Robert Rosen was not only a biologist, he was also a brilliant mathematician whose extraordinary contributions to theoretical biology were tremendous. Founding, with this book, the area of Anticipatory Systems Theory is a remarkable outcome of his work...

 Some Equivalences among Nonlinear Complementarity Problems, Least-Element Problems and Variational Inequality Problems in Ordered Spaces. Qamrul Hasan Ansari and Jen-Chih Yao. -Generalized Monotone Maps and Complementarity Problems. S. K. Neogy and...

A long long time ago, echoing philosophical and aesthetic principles that existed since antiquity, William of Ockham enounced the principle of parsimony, better known today as Ockham's razor: "Entities should not be multiplied...

This book on constrained optimization is novel in that it fuses these themes: • use examples to introduce general ideas; • engage the student in spreadsheet computation; • survey the uses of constrained optimization;. •...

This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering...

Preface.- Control of Systems Described by Elliptic-Type Partial-Differential Equations Under Conjugation Conditions.- Control of a Conditionally Correct System Described by the Neumann Problem for an Elliptic-Type Equation Under Conjugation Conditions.-...

Convective flow in the liquid phase is always present in a realistic process of freezing and melting and may significantly affect the dynamics and results of the process. The study of the interplay of growth and convection flow...

This book addresses two main problems with interconnections at the chip and package level: crosstalk and simultaneous switching noise. Its orientation is towards giving general information rather than a compilation of practical...

This book is about time-domain modelling, stability, stabilization, control design and filtering for JTDS. It gives readers a thorough understanding of the basic mathematical analysis and fundamentals, offers a straightforward...

The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of...

Why Both Game Theory and Reliability Theory Are Important in Defending Infrastructure against Intelligent Attacks.- Game Theory Models of Intelligent Actors in Reliability Analysis: An Overview of the State of the Art.- Optimizing Defense Strategies for...

Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and...

Quadratic programming (QP) is one advanced mathematical technique that allows for the optimization of a quadratic function in several variables in the presence of linear constraints. This book presents recently developed...

"Analytical System Dynamics: Modeling and Simulation" combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a...

Seeking Feasibility.- Preliminaries.- Seeking Feasibility in Linear Programs.- Seeking Feasibility in Mixed-Integer Linear Programs.- A Brief Tour of Constraint Programming.- Seeking Feasibility in Nonlinear Programs.- Analyzing Infeasibility.- Isolating...

Scalar Derivatives in Euclidean Spaces.- Asymptotic Derivatives and Asymptotic Scalar Derivatives.- Scalar Derivatives in Hilbert Spaces.- Scalar Derivatives in Banach Spaces.- Monotone Vector Fields on Riemannian Manifolds and Scalar Derivatives.

Pseudo-Jacobian Matrices.- Calculus Rules for Pseudo-Jacobians.- Openness of Continuous Vector Functions.- Nonsmooth Mathematical Programming Problems.- Monotone Operators and Nonsmooth Variational Inequalities.

Preliminaries.- The Theory of Apportionment and Just-In-Time Sequences.- Minimization of Just-In-Time Sequence Deviation.- Optimality of Cyclic Sequences and the Oneness.- Bottleneck Minimization.- Competition-Free Instances, The Fraenkel's Conjecture,...

System-Theoretical Description of Open Physical Processes.- Control of Bilinear Systems.- Bilinear Systems and Nonlinear Estimation Theory.- Control Of Dynamical Processes And Geometrical Structures.- Superconducting Levitation and Bilinear Systems.-...

Preface.- 1. Customer-oriented traffic planning.- PART I. STOP LOCATION.- 2. Introduction.- 3. Covering all demand points.- 4. Bicriterial stop location.- 5. Extensions.- PART II. DELAY MANAGEMENT.- 6. Introduction.- 7. Delay management with fixed...

Classical Training Methods.- Local Search Based Methods.- Simulated Annealing.- Tabu Search.- Variable Neighbourhood Search.- Population Based Methods.- Estimation of Distribution Algorithms.- Genetic Algorithms.- Scatter Search.- Other Advanced Methods...

Preface.- PART I. BILEVEL PROGRAMMING.- Optimality conditions for bilevel programming problems (Stephan Dempe, Vyatcheslav V. Kalashnikov and Nataliya Kalashnykova).- Path-based formulations of a bilevel toll setting problem (Mohamed Didi-Biha, Patrice...

Infinite Horizon Variational Problems.- Extremals of Nonautonomous Problems.- Extremals of Autonomous Problems.- Infinite Horizon Autonomous Problems.- Turnpike for Autonomous Problems.- Linear Periodic Control Systems.- Linear Systems with Nonperiodic...

Continuous optimization is the study of problems in which we wish to opti­ mize (either maximize or minimize) a continuous function (usually of several variables) often subject to a collection of restrictions on these variables...

Preface Contributing Authors Part I. 4d Formalism 1. On establishing balance and conservation laws in elastodynamics (George Herrmann, Reinhold Kienzler) 2. From mathematical physics to engineering science (Gérard A. Maugin) Part II. Evolving...

Foreword.- Contributing Authors.- Preface.- A Primer in Column Generation.- Shortest Path Problems with Resource Constraints.- Vehicle Routing Problem with Time Windows.- Branch-and-Price Heuristics: A Case Study on the Vehicle Routing Problem with Time...

Preface 1 Introduction 1.1 Introduction 1.2 Mathematics Foundations 1.2.1 Norm 1.2.2 Inverse and Generalized Inverse of a Matrix1.2.3 Properties of Eigenvalues 1.2.4 Rank-One Update 1.2.5 Function and Differential 1.3 Convex Sets and Convex Functions 1.3...

Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has been working on an approach to optimization theory based on image space analysis. His theory has been elaborated by many other...

Quadratic programs and affine variational inequalities represent two fundamental, closely-related classes of problems in the t,heories of mathematical programming and variational inequalities, resp- tively. This book develops a...