Academic Articles & Research Papers

Mathematics for Physics

An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of ph...

Enhancing young children’s mathematical knowledge through a pre-kindergarten mathematics intervention

Advanced Mathematical Thinking

Encyclopedic Dictionary of Mathematics

Relationship between Mathematical Thinking, Mathematics Anxiety and Mathematics Attitudes among University Students

This study investigates the relationships between mathematics anxiety, attitudes toward mathematics and mathematical thinking among university students. A 60-item questionnaire included mathematical thinking rating scale, mathematics anxiet...

The Psychology of Learning Mathematics

This classic text presents problems of learning and teaching mathematics from both a psychological and mathematical perspective. The Psychology of Learning Mathematics, already translated into six languages (including Chinese and Japanese),...

Mathematical Biology

Assessing the Relationship between Attitude toward Mathematics and Achievement in Mathematics: A Meta-Analysis

Xin Ma, Nand Kishor, Assessing the Relationship between Attitude toward Mathematics and Achievement in Mathematics: A Meta-Analysis, Journal for Research in Mathematics Education, Vol. 28, No. 1 (Jan., 1997), pp. 26-47...

Mathematical and Physical Papers

William Thomson, first Baron Kelvin (1824–1907), is best known for devising the Kelvin scale of absolute temperature and for his work on the first and second laws of thermodynamics, though throughout his 53-year career as a mathematical phy...

Mathematical Methods of Classical Mechanics

A Mathematical Introduction to Robotic Manipulation

A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motio...

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

Varieties of Constructive Mathematics

This is an introduction to, and survey of, the constructive approaches to pure mathematics. The authors emphasise the viewpoint of Errett Bishop's school, but intuitionism. Russian constructivism and recursive analysis are also treated, wit...

The Philosophy of Mathematical Practice

Contemporary philosophy of mathematics offers us an embarrassment of riches. Among the major areas of work one could list developments of the classical foundational programs, analytic approaches to epistemology and ontology of mathematics, ...

Mathematical Morphology

Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, ...

Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions

We study the existence and regularity of weak solutions of a phase field type model for pure material solidification in presence of natural convection. We assume that the non-stationary solidification process occurs in a two dimensional bou...

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...