Academic Articles & Research Papers

Mathematics

The aim of Mathematics: A Very Short Introduction is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. It offers readers an insight into ...

The Emergence of Mathematical Meaning

Contents: Preface. P. Cobb, H. Bauersfeld, Introduction: The Coordination of Psychological and Sociological Perspectives in Mathematics Education. P. Cobb, E. Yackel, T. Wood, The Teaching Experiment Classroom. P. Cobb, Mathematical Learnin...

Handbook of Mathematics and Computational Science

Mathematics and Indispensability

Mathematics plays an indispensable role in the explanations that modern science provides of empirical phenomena. From this unexceptionable observation, a controversial philosophical conclusion is sometimes drawn. The claim is advanced that ...

Mathematics and Reality

The subject of this paper is the philosophical problem of accounting for the relationship between mathematics and non-mathematical reality. The first section, devoted to the importance of the problem, suggests that many of the reasons for e...

The Language of Mathematics

A History of Mathematics: An Introduction

Part I. Ancient Mathematics 1. Egypt and Mesopotamia 1.1 Egypt 1.2 Mesopotamia 2. The Beginnings of Mathematics in Greece 2.1 The Earliest Greek Mathematics 2.2 The Time of Plato 2.3 Aristotle 3. Euclid 3.1 Introduction to the Elements 3.2 ...

Mathematics, Statistics, and Teaching

How does statistical thinking differ from mathematical thinking? What is the role of mathematics in statistics? If you purge statistics of its mathematical content, what intellectual substance remains?In what follows, we offer some answers ...

The indispensability of mathematics

Looks at the Quine–Putnam indispensability argument in the philosophy of mathematics. This argument urges us to place mathematical entities on the same ontological footing as other theoretical entities indispensable to our best scientific t...

Methods of Mathematical Physics

This well-known text and reference contains an account of those parts of mathematics that are most frequently needed in physics. As a working rule, it includes methods which have applications in at least two branches of physics. The authors...

Mathematics anxiety and mathematics achievement

With an Eye on the Mathematical Horizon: Dilemmas of Teaching Elementary School Mathematics

Ideas like "understanding," "authenticity," and "community" are central in current debates about curriculum, instruction, and assessment. Many believe that teaching and learning would be improved if classrooms were organized to engage stude...

Mathematical Models in Biology

Life scientists are not always fully aware of the powerful role that mathematical models have in both answering biological research questions and in making predictions. Scientists have a clear view of the problem; they know the questions; t...

Mathematical Ideas in Biology

This is a lucid introduction to some of the mathematical ideas which are useful to biologists. Professor Maynard Smith introduces the reader to the ways in which biological problems can be expressed mathematically, and shows how the mathema...

A Novel Energy-Efficient Reception Method Based on Random Network Coding in Cooperative Wireless Sensor Networks

This paper presents an opportunistic reception (OR) algorithm for energy-efficient transmission in cooperative wireless sensor networks (WSNs), where the characteristics of random linear network coding and the energy consumption property of...

Numerical Modal Analysis of Vibrations in a Three-Phase Linear Switched Reluctance Actuator

This paper addresses the problem of vibrations produced by switched reluctance actuators, focusing on the linear configuration of this type of machines, aiming at its characterization regarding the structural vibrations. The complexity of t...

О классе потенциалов с тривиальной монодромией

Рассматривается задача описания класса TM(Ω;A) потенциалов, мероморфных в односвязной области Ω, с множеством полюсов A, удовлетворяющих условию тривиальной монодромии: любое решение соответствующего уравнения Штурма–Лиувилля при всех зн...

A compact model for the home healthcare routing and scheduling problem

Home healthcare has become more and more central in the last decades, due to the advantages it can bring to both healthcare institutions and patients. Planning activities in this context, however, presents significant challenges related to ...

On practical ℎ-observer design for nonlinear non-autonomous dynamical systems with disturbances

In this paper, a particular form of practical ℎ-observers for piecewise continuous Lipschitz, one-sided piecewise continuous Lipschitz systems and quasi-one-sided piecewise continuous Lipschitz systems is extended to nonlinear non-autonomou...

A local meshless method for the one-dimensional Fisher’s equation

This study presents a novel local meshless approach for solving one-dimensional Fisher’s equation, combining a local scheme, Gaussian radial basis functions (G-RBF), and a collocation technique. The method leverages the Gaussian basis’s non...