Optimal Transport: Old and New

Optimal Transport: Old and New by Cédric Villani
English | PDF | 2009 | 970 Pages | ISBN : 3540710493 | 9.25 MB

At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results.

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Theory of Sobolev Multipliers: With Applications to Differential and Integral Operators

Theory of Sobolev Multipliers: With Applications to Differential and Integral Operators By Vladimir G. Maz’ya
English | PDF | 2009 | 615 Pages | ISBN : 3540694900 | 6.67 MB

The purpose of this book is to give a comprehensive exposition of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The theory was essentially developed by the authors during the last thirty years and the present volume is mainly based on their results.

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Convex and Discrete Geometry

Convex and Discrete Geometry by Peter M. Gruber
English | PDF | 2007 | 590 Pages | ISBN : 3540711325 | 5.99 MB

Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives an overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers. It should also be of use to people working in other areas of mathematics and in the applied fields.

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Nonlinear Waves and Pattern Dynamics

Nonlinear Waves and Pattern Dynamics By Nizar Abcha
English | PDF,EPUB | 2018 | 238 Pages | ISBN : 3319781928 | 18.65 MB

This book addresses the fascinating phenomena associated with nonlinear waves and spatio-temporal patterns. These appear almost everywhere in nature from sand bed forms to brain patterns, and yet their understanding still presents fundamental scientific challenges.

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Signals and Systems

Signals and Systems By K. Deergha Rao
English | PDF,EPUB | 2018 | 434 Pages | ISBN : 3319686747 | 19.73 MB

This textbook covers the fundamental theories of signals and systems analysis, while incorporating recent developments from integrated circuits technology into its examples. Starting with basic definitions in signal theory, the text explains the properties of continuous-time and discrete-time systems and their representation by differential equations and state space. From those tools, explanations for the processes of Fourier analysis, the Laplace transform, and the z-Transform provide new ways of experimenting with different kinds of time systems. The text also covers the separate classes of analog filters and their uses in signal processing applications.

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Moving from C to C++: Discussing Programming Problems, Why They Exist, and How C++ Solves Them

Moving from C to C++: Discussing Programming Problems, Why They Exist, and How C++ Solves Them By Arunesh Goyal
English | True PDF,EPUB | 2013 | 655 Pages | ISBN : 1430260947 | 6.9 MB

The author says it best, “I hope to move you, a little at a time,from understanding C to the point where C++ becomes your mindset”. This remarkable book is designed to streamline the process of learning C++ in a way that discusses programming problems, why they exist, and the approach C++ has taken to solve such problems.

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Approximate Quantum Markov Chains

Approximate Quantum Markov Chains By David Sutter
English | PDF,EPUB | 2018 | 124 Pages | ISBN : 3319787314 | 4.26 MB

This book is an introduction to quantum Markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem. To achieve this goal, we strengthen the data-processing inequality such that it reveals a statement about the reconstruction of lost information.

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Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids By Yoshikazu Giga
English | PDF,EPUB | 2018 | 3035 Pages | ISBN : 3319133438 | 83.88 MB

Mathematics has always played a key role for researches in fluid mechanics. The purpose of this handbook is to give an overview of items that are key to handling problems in fluid mechanics. Since the field of fluid mechanics is huge, it is almost impossible to cover many topics. In this handbook, we focus on mathematical analysis on viscous Newtonian fluid. The first part is devoted to mathematical analysis on incompressible fluids while part 2 is devoted to compressible fluids.

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Galileo Galilei, The Tuscan Artist

Galileo Galilei, The Tuscan Artist By Pietro Greco
English | PDF,EPUB | 2018 | 373 Pages | ISBN : 3319720317 | 5.3 MB

This book is a distinctively original biography of Galileo Galilei, probably the last eclectic genius of the Italian Renaissance, who was not only one of the greatest scientists ever, but also a philosopher, a theologian, and a man of great literary, musical, and artistic talent – “The Tuscan Artist”, as the poet John Milton referred to him. Galileo was exceptional in simultaneously excelling in the Arts, Science, Philosophy, and Theology.

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