Kategoria BISAC: Mathematics >> Counting & Numeration

Leonardo wrote, "Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics"; replace "Mechanics" by "Fluid mechanics" and here we are.
- From the Preface to the Second Edition

Although the exponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and technologies, the discipline of fluid mechanics is still large, and turbulence in flows remains a challenging problem in classical physics. Like its predecessor, the revised and expanded Second...

This edited monograph provides a compelling analysis of the interplay between neuroscience and aesthetics. The book broaches a wide spectrum of topics including, but not limited to, mathematics and creator algorithms, neurosciences of artistic creativity, paintings and dynamical systems as well as computational research for architecture. The international authorship is genuinely interdisciplinary and the target audience primarily comprises readers interested in transdisciplinary research between neuroscience and the broad field of aesthetics.

This book offers unique insight on structural safety and reliability by combining computational methods that address multiphysics problems, involving multiple equations describing different physical phenomena and multiscale problems, involving discrete sub-problems that together describe important aspects of a system at multiple scales. The book examines a range of engineering domains and problems using dynamic analysis, nonlinear methods, error estimation, finite element analysis and other computational techniques.

This book also:

- Introduces novel numerical methods

-...

This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed:

1. Lagrangian discretizations and wavefront tracking for synchronization models;

2. Astrophysics computations and post-Newtonian approximations;

3. Hyperbolic balance laws and corrugated isometric embeddings;

4. "Caseology"...

This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics. It includes a vertiginous collection of ideas and tools which will offer something new to all interested readers. Discrete curvature arose as much as a theoretical development as in response to unforeseen challenges coming from applications. Discrete and continuous geometries have turned out to be intimately connected - the bridges between the two are manifold and involve numerous fields: metric spaces,...