Calculus and mathematical analysis

This textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |x|p + |y|p = 1 where p = 1.

The text covers a wide range of topics such as mathematical modeling of crop pest control management, water resources management, impact of anthropogenic activities on atmospheric carbon dioxide concentrations, impact of climate changes on melting of glaciers and polar bear populations, dynamics of slow-fast predator-prey system and spread and control of HIV epidemic.

This book convenes peer-reviewed, selected papers presented at the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Sozopol, Bulgaria, June 17-20, 2022.

Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods provides readers with the information necessary to choose appropriate numerical methods to solve a variety of engineering problems.

Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods provides readers with the information necessary to choose appropriate numerical methods to solve a variety of engineering problems.

Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus.

This book helps the reader make use of the mathematical models of biological phenomena starting from the basics of programming and computer simulation.

This book provides a modern perspective on the analytic structure of scattering amplitudes in quantum field theory, with the goal of understanding and exploiting consequences of unitarity, causality, and locality.

Introduction to Stochastic Dynamic Programming

This textbook introduces the study of partial differential equations using both analytical and numerical methods.

This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations.

Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis.

The purpose, level, and style of this new edition conform to the tenets set forth in the original preface.

This monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth.

The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations.

This handbook is the sixth and last volume in the series devoted to stationary partial differential equations.

This book gives a comprehensive overview of the relationship between admissibility and hyperbolicity.

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces.

Flight Mechanics Modeling and Analysis comprehensively covers flight mechanics and flight dynamics using a systems approach.

Flight Mechanics Modeling and Analysis comprehensively covers flight mechanics and flight dynamics using a systems approach.

This book describes the direct and inverse problems of the multidimensional Schrodinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues.

This book describes the direct and inverse problems of the multidimensional Schrodinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues.

In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume.

In this book, innovative research using artificial neural networks (ANNs) is conducted to automate the sizing task of RF IC design, which is used in two different steps of the automatic design process.

This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space.

This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years.

The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr.

This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience.

A collection of self contained state-of-the art surveys.

This is a comprehensive exposition of topics covered by the American Mathematical Society's classification "e;Global Analysis, dealing with modern developments in calculus expressed using abstract terminology.

This is Volume 5 of a Handbook that has been well-received by the thermal analysis and calorimetry community.

Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of applications to problems in engineering and applied science, such as fluid dynamics, heat flow, electromagnetics, astronomy and economics.

This monograph provides a compendium of established and novel error estimation procedures applied in the field of Computational Mechanics.

This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences.

This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry.

This volume contains extended abstracts outlining selected presentations given by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2016 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), which was dedicated to the mathematical theory and applications of multiple scale systems and systems with hysteresis, and held at the Centre de Recerca Matematica (CRM) in Barcelona from June 13th to 17th, 2016.

This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications.

This volume provides a short summary of the essentials of Lagrangian dynamics for practicing engineers and students of physics and engineering.

The book addresses many topics not usually in "e;second course in complex analysis"e; texts.

The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity.

Students and researchers from all fields of mathematics are invited to read and treasure this special Proceedings.

Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience.

There is an ever increasing need for modelling complex processes reliably.

The majority of modern instruments are computerised and provide incredible amounts of data.

This highly acclaimed work has so far been available only in French.

The subject of this textbook is the mathematical theory of singular perturbations, which despite its respectable history is still in a state of vigorous development.

Matrix Singular Value Decomposition (SVD) and its application to problems in signal processing is explored in this book.

Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches.

This text provides a thorough explanation of the underlying principles of spectral analysis and the full range of estimation techniques used in engineering.