This work is intended to give a quick overview on the subject of the geometric measure theory with emphases on various basic ideas, techniques and their applications in problems arising in the calculus of variations, geometrical analysis and nonlinear partial differential equations.
Project Origami: Activities for Exploring Mathematics
When it comes to mathematics, paper isn't just for pen and pencil any more! Origami, the art and science of paper folding, can be used to explain concepts and solve problems in mathematics-and not just in the field of geometry. The origami activities collected here also relate to topics in calculus, abstract algebra, discrete mathematics, topology, and more.
This text intends to provide the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric. The geometry of surfaces is an ideal starting point for students learning geometry...
If you're doing anything technical, think Mathematica--not just for computation but for modeling, simulation, visualization, development, documentation, and deployment.
Why Mathematica? Because this one integrated software system delivers unprecedented workflow, coherence, reliability, and innovation. Rather than requiring different toolkits for different jobs, Mathematica has been built from its inception to deliver one vision: the ultimate technical computing environment
New Trends in Nanotechnology and Fractional Calculus Applications
In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation.
