Basics of Nonlinearities in Mathematical Sciences
Published on 1. January 2006
Book
Hardback
330 pages
978-1-84331-702-9 (ISBN)
Description
This book is primarily an attempt to familiarize the reader with nonlinear systems, in particular qualitative characteristics in a variety of systems amenable to mathematization. Differential equations form the bulk of the book, while the basics of nonlinearities are presented through theorems and problems, aiming to bring out the essence of some aspects of nonlinearities in the emerging discipline of mathematical science. Qualitative studies that reflect the evolution of nonlinearities have not thus far been approached in this way.
More details
Series
Language
English
Place of publication
London
United Kingdom
Target group
Professional and scholarly
Product notice
Laminated cover
Illustrations
Illustrations
Dimensions
Height: 245 mm
Width: 188 mm
Thickness: 17 mm
Weight
839 gr
ISBN-13
978-1-84331-702-9 (9781843317029)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Dilip Kumar Sinha
Basics of Nonlinearities in Mathematical Sciences
E-Book
05/2007
1st Edition
Anthem Press
€78.49
Available for download
Person
Dilip Kumar Sinha, formerly Sir Rashbehary Ghose Professor of Applied Mathematics at the University of Calcutta is a Professor of Mathematics at Jadavpur University, Fellow of the Institute of Mathematics and its Applications (UK), Fellow of the International Academy of Mathematical Chemistry (USA Crotia) and Fellow of the National Academy of Sciences of India.
Content
Preface; Preamble; Motivation; Recapturing linear ordinary differential equations; Linear systems: qualitative behaviour; Stability studies; Study of equilibria: another approach; Non-linear vis a vis linear systems; Stability aspects: Liapunov's direct method; Manifolds: introduction and applications in nonlinearity studies; Periodicity: orbits, limit cycles, Poincare map; Bifurcations: a prelude; Catastrophes: a prelude; Theorizing, further, bifurcations and catastrophes; Dynamical systems; Epilogue; Appendix I; Appendix II; Appendix III; Appendix IV; Appendix V