This textbook gives a broad and modern introduction to statistics for multivariate data. A bunch of interesting examples is used to illustrate the techniques. Most of the observable phenomena in the empirical sciences are of a multivariate natur

Read More »# Mathematics

## Statistical Spectral Analysis: A Non-Probabilistic Theory

This book is intended to serve as both a graduate-level textbook and a technical reference. The focus is on fundamental concepts, analytical techniques, and basic empirical methods. The only prerequisite is an introductory course on Fourier analysi

Read More »## Bayesian Methods for Statistical Analysis

Bayesian methods for statistical analysis is a book on statistical methods for analysing a wide variety of data. The book consists of 12 chapters, starting with basic concepts and covering numerous topics, including Bayesian estimation, decision theo

Read More »## Variational Analysis

From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but

Read More »## Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties

The theory of toric varieties (also called torus embeddings) describes a fascinating interplay between algebraic geometry and the geometry of convex figures in real affine spaces. This book is a unified up-to-date survey of the various results and

Read More »## Classical Algebraic Geometry: A Modern View

Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern wor

Read More »## Differential Geometry: A Geometric Introduction

The only book that introduces differential geometry through a combination of an intuitive geometric foundation, a rigorous connection with the standard formalisms, computer exercises with Maple, and a problems-based approach. Starting with basic

Read More »## Mathematical Reasoning: Writing and Proof

Mathematical Reasoning: Writing and Proof is a text for the first college mathematics course that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of t

Read More »## Mathematics under the Microscope: Notes on Cognitive Aspects of Mathematical Practice

The author's goal is to start a dialogue between mathematicians and cognitive scientists. He discusses, from a working mathematician's point of view, the mystery of mathematical intuition: why are certain mathematical concepts more intuitive than o

Read More »## Math in Society: A Survey of Mathematics for the Liberal Arts Major

This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level quantitative literacy topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the ins

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