Book Description:
This book will serve as a reference book that contains a comprehensive list of formulas for the first time, tables of the Volterra functions. It also includes critically evaluated older material on the functions, but many new results that were obtained by the author. These results include: the behaviour of the Volterra Functions as a function of parameters, the integral representations of the functions, many new Laplace and other-one-dimensional and two-dimensional integral transforms, integrals and series as well as extensive numerical computations that are presented in graphical and tabular forms.
Table of Contents:
・ Preface:
Chapter 1: Introduction
Chapter 2: Basic Properties of Volterra Functions
Chapter 3: Volterra Integral Equations
Chapter 4: Integral Transforms and Volterra Functions
Chapter 5: Integrals, Series and Limits Associated with Volterra Functions
Appendix A
Appendix B
Appendix C
Appendix D
・ References
・ Index
Binding: Hardcover
Publication Date: 2008, 2nd Quarter-C
ISBN: 978-1-60456-169-2
Book Description:
The monograph is devoted to in-depth analysis of the Langrangian approach in momentum picture of motion to quantum free scalar, spinor and vector fields. The main purpose of the monograph is to suggest a new approach and analysis of known of problems which results in reestablishment of known facts and new results. Almost all considerations will be done in the momentum picture of motion instead of the standard representation in Heisenberg picture of motion. All calculations are given in full details and the hypotheses underlying the theory are explicitly formulated at the points when they are logically required.
Table of Contents:
Preface:
Chapter 1: Lagrangian Formalism and the Momentum Picture
Chapter 2: Free Scalar Fields
Chapter 3: Free Spinor Fields
Chapter 4: Free Vector Fields
Chapter 5: Commutation Relations for Free Fields
Bibliography
Index
Binding: Hardcover
Publication Date: 2008, 2nd Quarter-C
ISBN: 978-1-60456-170-8
Book Description:
Applying mathematics to biology has a long history, but only recently has there been an explosion of interest in the field. Some reasons for this include: the explosion of data-rich information sets, due to the genomics revolution, which are difficult to understand without the use of analytical tools, recent development of mathematical tools such as chaos theory to help understand complex, nonlinear mechanisms in biology, an increase in computing power which enables calculations and simulations to be performed that were not previously possible, and an increasing interest in in silico experimentation due to the complications involved in human and animal research. This new book presents the latest leading-edge research in the field.
Table of Contents:
・ Preface
・ Geometric Properties and Problems of Thick Knots
・ Instability, Evolution and Morphogenesis
・ A Guide to Topological Sequence Entropy
・ Analysis Situs of Spatial-Temporal Architecture in Biological Morphogenesis
・ Crossing the borders of spatial analysis and modelling: a rethink
・ Mathematical modelling of Hantavirus: from the mean field to the individual level
・ Determination of genetic subnetworks relevant to a particular biological function: a logical analysis approach
・ An Inverse System Approach to Fractal Geometry
・ On computational models for the hyperspace
・ A Mathematical Standpoint on Sexual Dimorphism
・ Ergodicity and abstract formulation of an age-physiology dependent population dynamic model
・ An analytical solution for the ionic flux in an axonial membrane model
・ Index
Binding: Hardcover
Publication Date: 2008, 2nd Quarter
ISBN: 978-1-60456-171-5