- 4,842,513 books for free!

- Markus Antoni |
- 2019 |
- pdf |
- 3.59MB |
- 135pages

This book presents problems and solutions in calculus with curvilinear coordinates. Vector analysis can be performed in different coordinate systems, an optimal system considers the symmetry of the problem in order to reduce calculatory difficulty. The book presents the material in arbitrary orthogonal coordinates, and includes ...

- Stephane Mallat |
- 2018 |
- pdf |
- 737.16KB |
- 80pages

Les sciences des données ont pour but de répondre à des questions à partir de données ayant un très grand nombre de variables, qu’il s’agisse d’images, de sons, de textes, de données génomiques, de liens dans des réseaux sociaux ou de mesures physiques. Cette multitude de variables ouvre un champ gigantesque des possibles, ce qu...

- Michael T. Heath |
- 2018 |
- pdf |
- 3.45MB |

This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including...

- Douglas G. Martinson |
- 2018 |
- pdf |
- 23.42MB |
- 626pages

This book provides thorough and comprehensive coverage of most of the new and important quantitative methods of data analysis for graduate students and practitioners. In recent years, data analysis methods have exploded alongside advanced computing power, and it is critical to understand such methods to get the most out of data,...

- Venera Khoromskaia; Boris Khoromskij |
- 2018 |
- pdf |
- 29.66MB |

The conventional numerical methods when applied to multidimensional problems suffer from the so-called "curse of dimensionality," that cannot be eliminated by using parallel architectures and high performance computing. The novel tensor numerical methods are based on a "smart" rank-structured tensor representation of the multiva...

- Alfred S. Posamentier, Christian Spreitzer |
- 2018 |
- epub |
- 12.10MB |

- Steven G. Krantz |
- 2018 |
- pdf |
- 822.66KB |
- 187pages

It is important and useful to have a text on the Lebesgue theory that is accessible to bright undergraduates. This is such a text. Going back to the days of Isaac Newton and Gottfried Wilhelm von Leibniz, and even to Newton's teacher Isaac Barrow, the integral has been a mainstay of mathematical analysis. The integral is a devi...

- Alain Goriely |
- 2018 |
- epub |
- 3.38MB |

Mathematics is playing an increasingly important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world in which we live. This area of mathematics...

Tensors, or hypermatrices, are multi-arrays with more than two indices. In the last decade or so, many concepts and results in matrix theory - some of which are nontrivial - have been extended to tensors and have a wide range of applications (for example, spectral hypergraph theory, higher order Markov chains, polynomial optimiz...