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Fifty Years of Women in Mathematics
The Association for Women in Mathematics (AWM), the oldest organization in the world for women in mathematics, had its fiftieth anniversary in 2021. This collection of refereed articles, illustrated by color photographs, reflects on women in mathematics and the organization as a whole. Some articles focus on the situation for women in mathematics at various times and places, including other countries. Others describe how individuals have shaped AWM, and, in turn, how the organization has impacted individuals as well as the broader mathematical community. Some are personal stories about careers in mathematics. Fifty Years of Women in Mathematics: Reminiscences, History, and Visions for the Fu...
The Global History of Childhood Reader
The Global History of Childhood Reader provides an essential collection of chapters and articles on the global history of childhood. The Reader is structured thematically so as to provide both a representative sampling of the historiography as well as an overview of the key issues of the field, such as childhood as a social construct, commonalities and differences globally, and why the twentieth century was not the "century of the child" for most of the world’s children. The Reader is divided into four parts: Theories and methodologies of the history of childhood Constructions of childhood in different times and places Children’s experiences in different times and places Usage of the pas...
A First Journey through Logic
The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Gödel's incompleteness theorem, and, finally, the axiomatic set theory. Each chapter includes several interesting highlights—outside of logic when possible—either in the main text, or as exercises or appendices. Exercises are an essential component of the book, and a good number of them are designed to provide an opening to additional topics of interest.
An Introduction to Ramsey Theory
This book takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. Written in an informal style with few requisites, it develops two basic principles of Ramsey theory: many combinatorial properties persist under partitions, but to witness this persistence, one has to start with very large objects. The interplay between those two principles not only produces beautiful theorems but also touches the very foundations of mathematics. In the course of this book, the reader will learn about both aspects. Among the topics explored are Ramsey's theorem for graphs and hypergraphs, van der Waerden's theorem on arithmetic progre...
An Introduction to Symmetric Functions and Their Combinatorics
This book is a reader-friendly introduction to the theory of symmetric functions, and it includes fundamental topics such as the monomial, elementary, homogeneous, and Schur function bases; the skew Schur functions; the Jacobi–Trudi identities; the involution ω ω; the Hall inner product; Cauchy's formula; the RSK correspondence and how to implement it with both insertion and growth diagrams; the Pieri rules; the Murnaghan–Nakayama rule; Knuth equivalence; jeu de taquin; and the Littlewood–Richardson rule. The book also includes glimpses of recent developments and active areas of research, including Grothendieck polynomials, dual stable Grothendieck polynomials, Stanley's chromatic sy...
Open Problems in Algebraic Combinatorics
In their preface, the editors describe algebraic combinatorics as the area of combinatorics concerned with exact, as opposed to approximate, results and which puts emphasis on interaction with other areas of mathematics, such as algebra, topology, geometry, and physics. It is a vibrant area, which saw several major developments in recent years. The goal of the 2022 conference Open Problems in Algebraic Combinatorics 2022 was to provide a forum for exchanging promising new directions and ideas. The current volume includes contributions coming from the talks at the conference, as well as a few other contributions written specifically for this volume. The articles cover the majority of topics in algebraic combinatorics with the aim of presenting recent important research results and also important open problems and conjectures encountered in this research. The editors hope that this book will facilitate the exchange of ideas in algebraic combinatorics.
Hilbert’s Tenth Problem: An Introduction to Logic, Number Theory, and Computability
Hilbert's tenth problem is one of 23 problems proposed by David Hilbert in 1900 at the International Congress of Mathematicians in Paris. These problems gave focus for the exponential development of mathematical thought over the following century. The tenth problem asked for a general algorithm to determine if a given Diophantine equation has a solution in integers. It was finally resolved in a series of papers written by Julia Robinson, Martin Davis, Hilary Putnam, and finally Yuri Matiyasevich in 1970. They showed that no such algorithm exists. This book is an exposition of this remarkable achievement. Often, the solution to a famous problem involves formidable background. Surprisingly, th...
Latinas in the United States, set
Latinas in the United States: A Historical Encyclopedia records the contribution of women of Latin American birth or heritage to the economic and cultural development of the United States. The encyclopedia, edited by Vicki L. Ruiz and Virginia Sánchez-Korrol, is the first comprehensive gathering of scholarship on Latinas. This encyclopedia will serve as an essential reference for decades to come. In more than 580 entries, the historical and cultural narratives of Latinas come to life. From mestizo settlement, pioneer life, and diasporic communities, the encyclopedia details the contributions of women as settlers, comadres, and landowners, as organizers and nuns. More than 200 scholars explo...
Peru
This Peru Country Program Evaluation for the World Bank Group, 2003-2009 is part of IEG s country program evaluation series. To date, IEG s in-depth country evaluations have comprised IEG-WB Country Assistance Evaluations (CAEs) and IEG-IFC Country Impact Reviews (CIRs). Both the CAEs and CIRs have involved comprehensive evaluations of the respective institutions activities in a country. In a pilot approach, this evaluation was prepared by a single IEG team that looked at development interventions across the three WBG institutions. The evaluation draws on WBG documents, external literature, and on interviews with government officials, representatives of the private sector and civil society, nongovernmental organizations, bilateral and multilateral development partners, and Bank, IFC, and MIGA staff in Washington and in Peru. An IEG mission visited Peru in September 2009. IEG also cooperated with the Evaluation Office of the Global Environment Facility that was conducting a parallel evaluation in Peru.
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