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...

Maor attempts to give the irrational number e its rightful standing alongside pi as a fundamental constant in science and nature; he succeeds very well.... Maor writes so that both mathematical newcomers and long-time professionals alike can thoroughly enjoy his book, learn something new, and witness the ubiquity of mathematical ideas in...

“The book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field.” Journal of Symbolic Logic

Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and...

This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. It is also shown...

Post-Optimal Analysis in Linear Semi-Infinite Optimization examines the following topics in regards to linear semi-infinite optimization: modeling uncertainty, qualitative stability analysis, quantitative stability analysis and sensitivity analysis. Linear semi-infinite optimization (LSIO) deals with linear optimization...

"A practical guide to using the TMS320C31 DSP Starter Kit

With applications and demand for high-performing digital signal processors expanding rapidly, it is becoming increasingly important for today's students and practicing engineers to master real-time digital signal processing (DSP) techniques.

In setting up Apache Solr, you'll want to ensure it's achieving optimum search results with maximum efficiency. This book shows you just how to achieve that with a comprehensive tutorial including troubleshooting.

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Achieve high scores by boosting query time and index time,...

This book covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. It deals with systems that have an infinite number of degrees of freedom. The book discusses the general physical background and concepts of the path integral approach used, followed by the most typical and important...

Matthew's Enigma unfolds the complex relationship between a father, who is a Romanian emigré and distinguished university professor, and his son, who was diagnosed with autism when he was 7 years old. Matei Calinescu's desire to understand Matthew -- his namesake -- is the theme of this moving memoir. Calinescu's determined...

The idea of infinity plays a crucial role in our understanding of the universe, with the infinite spacetime continuum perhaps the best-known example - but is spacetime really continuous? Throughout the history of science, many have felt that the continuum model is an unphysical idealization, and that spacetime should be thought of as...

What seems routine today was not always so. The field of Si-based heterostructures rests solidly on the shoulders of materials scientists and crystal growers, those purveyors of the semiconductor “black arts” associated with the deposition of pristine films of nanoscale dimensionality onto enormous Si wafers with near infinite...