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Designed to explore the applications of mathematical techniques and methods related to biology, this text explores five areas: cell growth, enzymatic reactions, physiological tracers, biological fluid dynamics and diffusion. Topics essentially follow a course in elementary differential equations -- some linear algebra and graph theory, requires only a knowledge of elementary calculus.

Excerpt from The Shift of the Shadow Boundary and the Scattering Cross Section of an Opaque ObjectFinally we consider electromagnetic waves incident upon perfectly con ducting objects. We determine the shadow boundary shift and the scattering cross section for a circular cylinder. We obtain results similar to those we obtained in the scalar cases and make similar conjectures for arbitrary objects.About the PublisherForgotten Books publishes hu...

Excerpt from Effective Two-Body Method for Two-Electron AtomsIn the present note we wish to present same Observations on the non relativistic two-electron atomic system. We hope these may prove useful and stimulating to additional efforts to Obtain approximate eigenfunctions and eigenvalues. In particular, we examine the reducticn of the prbblem.to an effect1ve two-body' system, an idea that has been used in the corresponding three-body nuclea...

Excerpt from Scattering From a Penetrable Sphere at High FrequenciesWe consider a scalar plane wave incident on a penetrable sphere in the limit of high frequencies for which the wave length of the incident wave is small compared to the radius of the Sphere. Quantum mechanically, the prob lem represents the scattering of a highly energetic particle by an attractive square well. It is also closely related to the corresponding electromagnetic pr...

Excerpt from The Shift of the Shadow Boundary and the Scattering Cross Section of an Opaque ObjectFinally we consider electromagnetic waves incident upon perfectly con ducting objects. We determine the shadow boundary shift and the scattering cross section for a circular cylinder. We obtain results similar to those we obtained in the scalar cases and make similar conjectures for arbitrary objects.About the PublisherForgotten Books publishes hu...

Excerpt from Effective Two-Body Method for Two-Electron AtomsIn the present note we wish to present same Observations on the non relativistic two-electron atomic system. We hope these may prove useful and stimulating to additional efforts to Obtain approximate eigenfunctions and eigenvalues. In particular, we examine the reducticn of the prbblem.to an effect1ve two-body' system, an idea that has been used in the corresponding three-body nuclea...

Excerpt from Scattering From a Penetrable Sphere at High FrequenciesWe consider a scalar plane wave incident on a penetrable sphere in the limit of high frequencies for which the wave length of the incident wave is small compared to the radius of the Sphere. Quantum mechanically, the prob lem represents the scattering of a highly energetic particle by an attractive square well. It is also closely related to the corresponding electromagnetic pr...

Designed to explore the applications of mathematical techniques and methods related to biology, this text explores five areas: cell growth, enzymatic reactions, physiological tracers, biological fluid dynamics and diffusion. Topics essentially follow a course in elementary differential equations -- some linear algebra and graph theory, requires only a knowledge of elementary calculus.