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Advanced Calculus: An Introduction to Mathematical Analysis
Advanced Calculus: An Introduction to Mathematical Analysis

This work is an introduction to mathematical analysis at an elementary level. Emphasis is given to the construction of national and then real numbers, using the method of equivalence classes and of Cauchy sequences. The text includes the presentation of: sequences of real numbers, infinite numerical series, continuous functions, deriviatives...

Modeling of Curves and Surfaces with MATLAB®
Modeling of Curves and Surfaces with MATLAB®

This text on geometry modeling is devoted to a number of central geometrical topics— graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces— and presents some elementary methods for analytical modeling and visualization of them.

In 1872 F. Klein proposed his Erlangen Programme in...

Lean Analytics: Use Data to Build a Better Startup Faster (Lean Series)
Lean Analytics: Use Data to Build a Better Startup Faster (Lean Series)

Marc Andreesen once said that "markets that don't exist don't care how smart you are." Whether you're a startup founder trying to disrupt an industry, or an intrapreneur trying to provoke change from within, your biggest risk is building something nobody wants.

Lean Analytics can help. By measuring and
...

Geometric Computing: for Wavelet Transforms, Robot Vision, Learning, Control and Action
Geometric Computing: for Wavelet Transforms, Robot Vision, Learning, Control and Action

Geometric algebra (GA) is a powerful new mathematical system for computational geometry. Although its origins can be traced back to Hermann Grassmann (1844), its development as a language for space–time geometry with applications to all of physics did not begin until 1966. Suddenly, in the year 2000 it was recognized that a specialized...

Robust Range Image Registration Using Genetic Algorithms And The Surface Interpenetration Measure
Robust Range Image Registration Using Genetic Algorithms And The Surface Interpenetration Measure
This book addresses the range image registration problem for automatic 3D model construction. The focus is on obtaining highly precise alignments between different view pairs of the same object to avoid 3D model distortions; in contrast to most prior work, the view pairs may exhibit relatively little overlap and need not be prealigned. To this end,...
Computational Line Geometry (Mathematics and Visualization)
Computational Line Geometry (Mathematics and Visualization)

The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces. This book covers line geometry from various viewpoints and aims towards...

Unbounded Linear Operators: Theory and Applications (Dover Books on Mathematics)
Unbounded Linear Operators: Theory and Applications (Dover Books on Mathematics)
In recent years important progress has been made in the study of linear operators by extending to closed operators many fundamental theorems which were known for bounded operators. The applications of the theory permit unification of a series of diverse questions in differential equations, which leads to significant results with substantial...
Handbook of Discrete and Computational Geometry
Handbook of Discrete and Computational Geometry

While books and journals of high quality have proliferated in discrete and compu- tational geometry during recent years, there has been to date no single reference work fully accessible to the nonspecialist as well as to the specialist, covering all the major aspects of both fields. The Handbook of Discrete and Computational Geometry...

Contamination-Free Manufacturing for Semiconductors and Other Precision Products
Contamination-Free Manufacturing for Semiconductors and Other Precision Products
Provides advanced treatment and in-depth coverage of the origins, procedures, and disposal of contaminants in the manufacturing of semiconductors and other precision products. Offers solutions to inadequate areas of measurement capability and control technology, clarifying problems in the industry.

Semiconductor chip manufacturing, now a
...
Elementary Real Analysis
Elementary Real Analysis

University mathematics departments have for many years offered courses with titles such as Advanced Calculus or Introductory Real Analysis.The se courses are taken by a variety of students, serve a number of purposes, and are written at various levels of sophistication.T he students range from ones who have just completed a course in...

Quantum Cosmology and Baby Universes
Quantum Cosmology and Baby Universes
Quantum gravity is notoriously a subject where problems vastly outnumber results. This is no surprise at short distances, on the order of the Planck length, where most of us expect quantum fluctuations in the metric to cause space-time itself to lose its meaning and gravity to be subsumed (along with the other so-called fundamental interactions)...
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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