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The History of Approximation Theory: From Euler to Bernstein
The History of Approximation Theory: From Euler to Bernstein

The problem of approximating a given quantity is one of the oldest challenges faced by mathematicians. Its increasing importance in contemporary mathematics has created an entirely new area known as Approximation Theory. The modern theory was initially developed along two divergent schools of thought: the Eastern or Russian group, employing...

GNU Octave Beginner's Guide
GNU Octave Beginner's Guide

Using a range of very different examples, this beginner's guide will take you through the most important aspects of GNU Octave. The book starts by introducing how you work with mathematical objects like vectors and matrices, demonstrating how to perform simple arithmetic operations on these objects and explaining how to use some of...

The Art of R Programming: A Tour of Statistical Software Design
The Art of R Programming: A Tour of Statistical Software Design

R is the world's most popular language for developing statistical software: Archaeologists use it to track the spread of ancient civilizations, drug companies use it to discover which medications are safe and effective, and actuaries use it to assess financial risks and keep economies running smoothly.

...

Advances in Applied Artificial Intelligence (Computational Intelligence and Its Applications)
Advances in Applied Artificial Intelligence (Computational Intelligence and Its Applications)
Discussion on the nature of intelligence long pre-dated the development of the
electronic computer, but along with that development came a renewed burst of investigation
into what an artificial intelligence would be. There is still no consensus on how
to define artificial intelligence: Early definitions tended to discuss the type of
...
Exploring Scanning Probe Microscopy with MATHEMATICA
Exploring Scanning Probe Microscopy with MATHEMATICA
This second edition of the book Exploring Scanning Probe Microscopy with Mathematica is a revised and extended version of the first edition. It consists of a collection of self-contained, interactive, computational examples from the fields of scanning tunneling microscopy, scanning force microscopy, and related technologies, using Mathematica...
Computers and Intractability: A Guide to the Theory of NP-Completeness (Series of Books in the Mathematical Sciences)
Computers and Intractability: A Guide to the Theory of NP-Completeness (Series of Books in the Mathematical Sciences)

Few technical lerms have gained such rapid notoriety as the appela tion "NP-complete." In the short lime since its introduction in the early 1970's, this term has come to symbolize the abyss of inherent intractability that algorithm designers increasingly face as they seek to solve larger and more complex problems. A...

Encyclopaedia of Mathematics: Coproduct ― Hausdorff ― Young Inequalities
Encyclopaedia of Mathematics: Coproduct ― Hausdorff ― Young Inequalities
Coproduct - Hausdorff- Young Inequalities An updated and annotated translation of the Soviet 'Mathematical Encyclopaedia...
Despeckling Methods for Medical Ultrasound Images
Despeckling Methods for Medical Ultrasound Images
Based upon the research they have conducted over the past decade in the field of denoising processes for medical ultrasonic imaging, in this book, the authors systematically present despeckling methods for medical ultrasonic images. Firstly, the respective methods are reviewed and divided into five categories. Secondly, after introducing some...
Topographical Tools for Filtering and Segmentation 1: Watersheds on Node- or Edge-weighted Graphs (Digital Signal and Image Processing)
Topographical Tools for Filtering and Segmentation 1: Watersheds on Node- or Edge-weighted Graphs (Digital Signal and Image Processing)

Mathematical morphology has developed a powerful methodology for segmenting images, based on connected filters and watersheds. We have chosen the abstract framework of node- or edge-weighted graphs for an extensive mathematical and algorithmic description of these tools.

Volume 1 is devoted to watersheds. The
...

Bioinformatics: Problem Solving Paradigms
Bioinformatics: Problem Solving Paradigms
There are fundamental principles for problem analysis and algorithm design that are continuously used in bioinformatics. This book concentrates on a clear presentation of these principles, presenting them in a self-contained, mathematically clear and precise manner, and illustrating them with lots of case studies from main fields of bioinformatics...
Understanding Search Engines: Mathematical Modeling and Text Retrieval (Software, Environments, Tools), Second Edition
Understanding Search Engines: Mathematical Modeling and Text Retrieval (Software, Environments, Tools), Second Edition
“There is no other information retrieval/search book where the heart is the mathematical foundations. This book is greatly needed to further establish information retrieval as a serious academic, as well as practical and industrial, area." ---Jaime Carbonell, Carnegie Mellon University. “Berry and Browne describe most of what...
Topics in Mathematical Analysis (Series on Analysis, Applications and Computation)
Topics in Mathematical Analysis (Series on Analysis, Applications and Computation)
This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide...
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