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Introduction to Symplectic Geometry
This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the... | | Contamination-Free Manufacturing for Semiconductors and Other Precision ProductsProvides 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... | | 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... |
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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)
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... | | 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... |
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Quantum Cosmology and Baby UniversesQuantum 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)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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