Introduction 1 I. Linear Algebra 4 1. The Linear Space with Real Multiplier Domain 4 2. Finite Dimensional Linear Spaces 10 3. Linear Mappings 13 4. Bilinear and Quadratic Functions 26 5. Multilincar Functions 41 6. Metrization of affine Space 56 II. Differential Calculus 74
Mathematical Problems and Puzzles from the Polish Mathematical Olympiads
This book is a translation of the second Polish edition, published in 1960, in which various improvements were made. The contest for secondary school pupils known as the Mathematical Olympiad has been held in Poland every year since 1949/50. The problems set at the contests require only a knowledge of school mathematics (i.e., elementary algebra, geometry and trigonometry) but are on the whole more difficult than the usual school exercises.
Experiments in Undergraduate Mathematics: A Mathematica-Based Approach
All students need to master a variety of mathematical tools and concepts at the start of their university career. This distinctive book helps students learn these by doing. The approach is interactive, using experiments, performed in the symbolic algebra package Mathematica, to impart the fundamentals of many of the topics students encounter. A clear exposition of the topic accompanies every experiment.
Algebraic Geometry and Statistical Learning Theory
Sure to be influential, Watanabe's book lays the foundations for the use of algebraic geometry in statistical learning theory. Many models/machines are singular: mixture models, neural networks, HMMs, Bayesian networks, stochastic context-free grammars are major examples. The theory achieved here underpins accurate estimation techniques in the presence of singularities.
English translation of standard mathematical work on theory of numbers, first published in Latin in 1801. "Among the greatest mathematical treatises of all fields and periods."--Asger Aaboe. Summary: Great Classic Math Book from a Master This is an incredible work, painstakingly and lovingly translated by someone with more patience than I might ever have. Thank God there are people out there who can do such tedious things so we can all enjoy these great works in English.
