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Shalit Orr Moshe: The Analyst’s Gambit

The Analyst’s Gambit

A Second Course in Functional Analysis

This surprisingly accessible book uses key math concepts and more than 500 short exercises to teach functional programming to experienced coders. Functional programming is a coding paradigm that emphasizes functions, repeatable computations that take input data and produce corresponding outputs. Functions are also important concepts in math, and a lot of deep mathematical insights shed light on functional computer programming. In this book, the author uses functional programming to introduce mathematical concepts – most notably set theory, abstract algebra, and category theory – and in turn uses that math to describe functional programming design patterns. The more than 500 short programming exercises included in the book will help you master functional programming and math skills alike, with code examples presented in the F# language.

Explore Set Theory, Abstract Algebra, and Category Theory with Functional Programming

The Book of Functions

Annals of Mathematics Studies

A comprehensive new theory of adelic line bundles on quasi-projective varieties over finitely generated fields This book introduces a comprehensive theory of adelic line bundles on quasi-projective varieties over finitely generated fields, developed in both geometric and arithmetic contexts. In the geometric setting, adelic line bundles are defined as limits of line bundles on projective compactifications under the boundary topology. In the arithmetic setting, they are defined as limits of Hermitian line bundles on projective arithmetic compactifications, also under the boundary topology. After establishing these foundational definitions, the book uses the theory to explore key concepts such as intersection theory, effective sections, volumes, and positivity of adelic line bundles. It also applies these results to study height functions of algebraic points and prove an equidistribution theorem on quasi-projective varieties. This theory has broad applications in the study of numerical, dynamical, and Diophantine properties of moduli spaces, quasi-projective varieties, and varieties over finitely generated fields.

Adelic Line Bundles on Quasi-projective Varieties

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

A Mathematical Tour

Chapman & Hall/CRC The Python Series

Python for Mathematics introduces readers to effective methods for doing mathematics using the Python programming language

Python for Mathematics

The Mending of Broken Bones reveals that far from a set of mundane exercises, algebra is the delicate craft of untangling numerical puzzles to uncover the hidden patterns and surprising behaviors of the numbers themselves. As Paul Lockhart shows, you don't have to be a mathematician to experience the joy and creativity of mathematical discovery.

A Modern Guide to Classical Algebra

The Mending of Broken Bones

"A hands-on Python-based guide to mathematical optimization for undergraduates and graduates in applied math, industrial engineering and operations research programs, as well as practitioners in related fields. Focuses on practical applications, with over 50 Jupyter notebooks and extensive exercises to test understanding"--

Hands-On Mathematical Optimization with Python

The nine chapters of this book make appeal to thermodynamic notions and laws to get under the hood of mathematics without just echoing things best said and written in math books. It presents a novel perspective to students and teachers in the physical sciences, biology, and mathematics, with the goal of enriching classroom and seminar hours.

The Thermodynamics of Mathematical Representation

Textbooks in Mathematics

An Invitation to Real Analysis

Mathematical Modelling from a Cognitive Perspective

The book comprises original articles on topical issues in risk theory, rational decision making, statistical decisions, and control of stochastic systems.

Modern Optimization Methods for Decision Making Under Risk and Uncertainty

Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs.

A Path into Rigorous Mathematics

Number Systems

In this book, the authors provide a framework for evaluating reproducibility, replicability and generalizability of empirical research in the social sciences. They define different types of reproducibility and replicability and show how they can be measured to evaluate the credibility of published findings.

Evaluating and Improving Empirical Research in the Social Sciences

The Credibility Gap

The Analyst’s Gambit

Informations bibliographiques

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