Academic Articles & Research Papers

Problem-Based Tasks in Mathematics Learning: Opportunities and Challenges for Teachers

Mathematics education and teaching should not only include routine tasks; but tasks that need practice and memorization are mathematically more prosperous and more difficult because they promote problem-solving, investigation, and the disco...

On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity

The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere. By investigation of...

Semi-Analytical Option Pricing Under Double Heston Jump-Diffusion Hybrid Model

We examine European call options in the jump-diffusion version of the Double Heston stochastic volatility model for the underlying price process to provide a more flexible model for the term structure of volatility. We assume, in addition, ...

Series Solution for Steady Three-Dimensional Flow due to Spraying on Inclined Spinning Disk by Homotopy Perturbation Method

The steady three-dimensional flow of condensation or spraying on inclined spinning disk is studied analytically. The governing nonlinear equations and their associated boundary conditions are transformed into the system of nonlinear ordinar...

Homotopy perturbation Shehu transform method for solving fractional models arising in applied sciences

Microbial network inference for longitudinal microbiome studies with LUPINE

Abstract Background The microbiome is a complex ecosystem of interdependent taxa that has traditionally been studied through cross-sectional studies. However, longitudinal microbiome studies are becoming increasingly popular. These studies ...

Research on the Spatial Correlation and Influence Factors of Regional Internet Finance in China

Based on the Internet Finance development index developed by Peking University in investigating 31 provinces, we use social network analysis to investigate the spatial correlation and influencing factors of the Internet Finance of China’s p...

Predicting potato plant vigor from the seed tuber properties

Abstract The vigor of potato plants is of crucial importance for potato seed producers, who are interested in predicting it at scale by exploiting the dependence of plant growth and development on the origin and physiological state of the s...

Adaptive Control of the Chaotic System via Singular System Approach

This paper deals with the control problem of the chaotic system subject to disturbance. The sliding mode surface is designed by singular system approach, and sufficient condition for convergence is given. Then, the adaptive sliding mode con...

What is mathematics, really?

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolv...

Mathematics has a front and a back

Mathematical models of hysteresis

A new approach to the scalar Preisach model of hysteresis, which emphasizes its phenomenological nature and mathematical generality, is described. The theorem, which gives the necessary and sufficient conditions for the representation of ac...

The Sociology of Mathematics Education: Mathematical Myths / Pedagogic Texts

Until the 1960s, maths was studied as an academic subject in a desire to have more mathematicians. The current trend, however, has moved away from viewing maths as a purely intellectual endeavour and towards developing a more mathematically...

Mathematics Black Life

(2014). Mathematics Black Life. The Black Scholar: Vol. 44, States of Black Studies, pp. 16-28....

Lectures on Applied Mathematics

Conceptual Mathematics

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics introduces this tool for the learning, development, and use of mathematics, to beginning s...

Creativity: The Essence of Mathematics

For the gifted mathematics student, early mastery of concepts and skills in the mathematics curriculum usually results in getting more of the same work and/or moving through the curriculum at a faster pace. Testing, grades, and pacing overs...

The Mathematics of Diffusion

By J. Crank London: Oxford University Press. Pp.347 + vi. Price 50s. This book presents a full account of the differential equations applicable to many diffusion problems. Analytical discussions are given of a wide variety of problems, and ...

National Council of Teachers of Mathematics

Organized groups of teachers of mathematics or of individuals preparing to become teachers of mathematics may petition the NCTM Board of Directors to become affiliated with the Council. Affiliated Groups are entitled to send a delegate to t...

Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables