Springer Proceedings in Mathematics & Statistics

Advances in Interdisciplinary Mathematical Research

Applications to Engineering, Physical and Life Sciences

Editors: Toni, Bourama (Ed.)

  • ​​Advanced research and applications in the mathematical sciences made accessible to a wide audience
  • Emphasis on the applicability of the research and its relevance to other research areas
  • ​Contributions written by experts for a multidisciplinary group of students and faculty​
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About this book

This volume contains the invited contributions to the Spring 2012 seminar series at Virginia State University on Mathematical Sciences and Applications. It is a thematic continuation of work presented in Volume 24 of the Springer Proceedings in Mathematics & Statistics series. Contributors present their own work as leading researchers to advance their specific fields and induce a genuine interdisciplinary interaction. Thus all articles therein are selective, self-contained, and are pedagogically exposed to foster student interest in science, technology, engineering and mathematics, stimulate graduate and undergraduate research, as well as collaboration between researchers from different areas.

 

The volume features new advances in mathematical research and its applications: anti-periodicity; almost stochastic difference equations; absolute and conditional stability in delayed equations; gamma-convergence and applications to block copolymer morphology; the dynamics of collision and near-collision in celestial mechanics; almost and pseudo-almost limit cycles; rainbows in spheres and connections to ray, wave and potential scattering theory; null-controllability of the heat equation with constraints; optimal control for systems subjected to null-controllability; the Galerkin method for heat transfer in closed channels; wavelet transforms for real-time noise cancellation; signal, image processing and machine learning in medicine and biology; methodology for research on durability, reliability, damage tolerance of aerospace materials and structures at NASA Langley Research Center.

 

The volume is suitable and valuable for mathematicians, scientists and research students in a variety of interdisciplinary fields, namely physical and life sciences, engineering and technology including structures and materials sciences, computer science for signal, image processing and machine learning in medicine.

Table of contents (13 chapters)

  • An Overview of Durability and Damage Tolerance Methodology at NASA Langley Research Center

    Ransom, Jonathan B. (et al.)

    Pages 1-34

  • On the $$\Gamma $$ -Convergence Theory and Its Application to Block Copolymer Morphology

    Ren, Xiaofeng

    Pages 35-56

  • “Rainbows” in Homogeneous and Radially Inhomogeneous Spheres: Connections with Ray, Wave, and Potential Scattering Theory

    Adam, John A.

    Pages 57-97

  • Understanding the Dynamics of Collision and Near-Collision Motions in the N-Body Problem

    Bakker, Lennard F.

    Pages 99-115

  • Absolute Stability and Conditional Stability in General Delayed Differential Equations

    Shi, Junping

    Pages 117-131

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4614-6345-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-4614-6344-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Interdisciplinary Mathematical Research
Book Subtitle
Applications to Engineering, Physical and Life Sciences
Editors
  • Bourama Toni
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
37
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-6345-0
DOI
10.1007/978-1-4614-6345-0
Hardcover ISBN
978-1-4614-6344-3
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XVIII, 284
Topics