free math ebooks
Algorithmic Information Theory.pdf
Taken from Foreword: Turing’s deep 1937 paper made it clear that G¨odel’s astonishing earlier
results on arithmetic undecidability related in a very natural way to a class of computing automata, nonexistent at the time of Turing’s paper, but destined to appear only a few years later, subsequently to proliferate as the ubiquitous stored-program computer of today. The appearance of computers, and the involvement of a large scienti c community in elucidation of their properties and limitations, greatly enriched the line of thought opened by Turing. Turing’s distinction between computational problems was rawly binary: some were solvable by algorithms, others not. Later work, of which an attractive part is elegantly developed in the present volume, re ned this into a multiplicity of scales of computational difficulty, which is still developing as a fundamental theory of information and computation that plays much the same role in computer science that classical thermodynamics plays in physics: by de ning the outer limits of the possible, it prevents designers of algorithms from trying to create computational structures which provably do not exist. It is not surprising that such a thermodynamics of information should be as rich in philosophical consequence as thermodynamics itself.
Control in an Information Rich World: Report of the Panel on Future Directions in Control, Dynamics, and Systems.pdf
The purpose of this report is to spell out some of the prospects for control in the current and future technological environment, to describe the role the field will play in military, commercial, and scientific applications over the next decade, and to recommend actions required to enable new breakthroughs in engineering and technology through application of control research.
Calculus.pdf
This Calculus text book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.
LAYMAN’s Guidebook on how Develop a Small Hydro Site.pdf
Taken from Definition of small hydropower: There is no consensus in EU member states on the definition of small hydropower: Some countries like Portugal, Spain, Ireland, and now, Greece and Belgium, accept 10 MW as the upper limit for installed capacity. In Italy the limit is fixed at 3 MW (plants with larger installed power should sell their electricity at lower prices); in France the limit was established at 8 MW and UK favour 5 MW. Hereunder will be considered as small any scheme with an installed capacity of 10 MW or less. This figure is adopted by five member states, ESHA, the European Commission and UNIPEDE (International Union of Producers and Distributors of Electricity).
Classical Geometry - Lecture Notes.pdf
Lecture Notes of Classical Geometry, prepared by Danny Calegari, contains classical geometry theorems, lemmas, definitions etc..
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