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Mathematics for Machine Learning
The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, …
An Introduction to Nonlinear Analysis
The techniques that can be used to solve non-linear problems are far different than those that are used to solve linear problems. Many courses in analysis and applied mathematics …
Classical and Multilinear Harmonic Analysis
This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and …
Introduction to Hp Spaces
The first edition of this well known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete point of view (in the unit circle …
An Introduction to Homological Algebra
The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of …
Philosophy of Mathematics
The twentieth century has witnessed an unprecedented ‘crisis in the foundations of mathematics’, featuring a world-famous paradox (Russell’s Paradox), a challenge to ‘classical’ …
A Synopsis of Elementary Results in Pure and Applied Mathematics: Volume 2
When George Shoobridge Carr (1837–1914) wrote his Synopsis of Elementary Results he intended it as an aid to students preparing for degree-level examinations such as the Cambridge …
A Synopsis of Elementary Results in Pure and Applied Mathematics: Volume 1
When George Shoobridge Carr (1837–1914) wrote his Synopsis of Elementary Results he intended it as an aid to students preparing for degree-level examinations such as the Cambridge …
A User's Guide to Measure Theoretic Probability
Rigorous probabilistic arguments, built on the foundation of measure theory introduced seventy years ago by Kolmogorov, have invaded many fields. Students of statistics, …
Matrices and Graphs in Geometry
Simplex geometry is a topic generalizing geometry of the triangle and tetrahedron. The appropriate tool for its study is matrix theory, but applications usually involve solving …