Analytic Geometry with Introductory Chapter on the Calculus.

Introductory Chapter

The long-term clinical practice of traditional Chinese medicine (TCM) confirms its importance and essential role in the health care system in China, especially in the prevention and treatment of chronic diseases [1]. TCM is not only looked upon as a bright pearl, but also a treasure house in Chinese ancient culture. TCM has made great contribution to the health of Chinese people for thousands o...

Introductory Geometry: Algebraic Geometry

Introductory Lectures on Contact Geometry

Though contact topology was born over two centuries ago, in the work of Huygens, Hamilton and Jacobi on geometric optics, and been studied by many great mathematicians, such as Sophus Lie, Elie Cartan and Darboux, it has only recently moved into the foreground of mathematics. The last decade has witnessed many remarkable breakthroughs in contact topology, resulting in a beautiful theory with ma...

Introductory Chapter: Myelodysplastic Syndromes

An analytic study on the Euler-Lagrange equation arising in calculus of variations

The Euler-Lagrange equation plays an important role in the minimization problems of the calculus of variations. This paper employs the differential transformation method (DTM) for finding the solution of the Euler-Lagrange equation which arise from problems of calculus of variations. DTM provides an analytical solution in the form of an infinite power series with easily computable components. S...