Books in the Series On Analysis, Applications And Computation series

Provides the construction and characterization of ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. This book is suitable for users of ultradistributions in applications as well as to research mathematicians in areas of analysis.

Deals with equations of mathematical physics as the different modifications of the KdV equation, the Camassa-Holm type equations, several modifications of Burger's equation, the Hunter-Saxton equation and others. This book studies the interaction of two piecewise smooth waves in the case of two space variables.

The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions.

This unique book overturns our ideas about non-Euclidean geometry and explains the role of the "golden ratio" in Euclid's Elements.