Archimedes is known as the Father of Mathematics. It is one of the ancient sciences developed in time immemorial. Algebra, geometry, calculus and statistics & probability are considered to be the 4 main branches of mathematics. It is also broadly divided into pure mathematics and applied...
This document is an attempt to provide a summary of the mathematical background needed for an introductory class in machine learning, which at UC Berkeley is known as CS 189/289A. Our assumption is that the reader is already familiar with the basic concepts of multivariable calculus and linear...
Some would say that the hunt for knowledge is a never ending adventure, and I bet all of us will agree on this. There are so many things to learn, test and try out but various limitations are stopping us from getting there. Not to mention the nearly unlimited free resources of ebooks out there...
This text contains sufficient material for a one-semester course in mathematical algorithms, for second year mathematics students. The course requires some exposure to the basic concepts of discrete mathematics, but no computing experience. The aim of this course is twofold. Firstly, to introduce...
Download free PDF files of "Digital Second Editions" of the four books of Knapp whose first editions were published in the Cornerstones series of Birkhäuser Boston between 2005 and 2007. These books are at the first-year graduate level or a little higher, depending on one's university. All four...
These lecture notes were translated from the Finnish lecture notes for the TUT course 'Matemaattinen kryptologia'. The laborious bulk translation was taken care of by the students Jussi Kangas (visiting from the University of Tampere) and Paul Coughlan (visiting from the University of Dublin,...
This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer...
When you've finished a problem and your answer agrees with the back of the book or with your friends or even a teacher, you're not done. The way to get an intuitive understanding of the mathematics and of the physics is to analyze your solution thoroughly. Does it make sense? There are almost...
This survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between...