Borges and Mathematics is a short book of essays that explores the scientific thinking of the Argentine writer Jorge Luis Borges (1899-1986). Around half of the book consists of two "lectures" focused on mathematics. The rest of the book reflects on the relationship between literature, artistic creation, physics, and mathematics more generally. Written in a way that will be accessible even to those "who can only count to ten," the book presents a bravura demonstration of the intricate links between the worlds of sciences and arts, and it is a thought-provoking call to dialog for readers from both traditions. The author, Guillermo Mart nez, is both a recognized writer, whose murder mystery The Oxford Murders has been translated into thirty-five languages, and a PhD in mathematics. Contents: Borges and Mathematics: First Lecture; Borges and Mathematics: Second Lecture; The Golem and Artificial Intelligence; The Short Story as Logical System; A Margin Too Narrow; Euclid, or the Aesthetics of Mathematical Reasoning; Solutions and Disillusions; The Pythagorean Twins; The Music of Chance (Interview with Gregory Chaikin); Literature and Rationality; Who's Afraid of the Big Bad One?; A Small, Small God; God's Sinkhole. This book was originally published in Spanish as Borges y la matem tica (2003). It has been translated with generous support from the Latino Cultural Center at Purdue University.

Every mathematician (beginner, amateur, and professional alike) thrills to find simple, elegant solutions to seemingly difficult problems. Such happy resolutions are called 'aha! solutions,' a phrase popularized by mathematics and science writer Martin Gardner. Aha! solutions are surprising, stunning, and scintillating: they reveal the beauty of mathematics. This collection includes one hundred problems in the areas of arithmetic, geometry, algebra, calculus, probability, number theory, and combinatorics. The problems start out easy and generally get more difficult as you progress through the book. A few solutions require the use of a computer. An important feature of the book is the discussion of related mathematics that follows the solution of each problem. This material is there to entertain and inform you or point you to new questions.

​*** OVER 13 MILLION COPIES SOLD​*** Time and again, the work performed at The Institutes for the Achievement of Human Potential has demonstrated that children from birth to age six are capable of learning better and faster than older children. How To Teach Your Baby To Read shows just how easy it is to teach a young child to read, while How To Teach Your Baby Math presents the simple steps for teaching mathematics through the development of thinking and reasoning skills. Both books explain how to begin and expand each program, how to make and organize necessary materials, and how to more fully develop your child’s reading and math potential. How to Give Your Baby Encyclopedic Knowledge shows how simple it is to develop a program that cultivates a young child’s awareness and understanding of the arts, science, and nature—to recognize the insects in the garden, to learn about the countries of the world, to discover the beauty of a Van Gogh painting, and much more. How To Multiply Your Baby’s Intelligence provides a comprehensive program for teaching your young child how to read, to understand mathematics, and to literally multiply his or her overall learning potential in preparation for a lifetime of success. The Gentle Revolution Series: The Institutes for the Achievement of Human Potential has been successfully serving children and teaching parents for five decades. Its goal has been to significantly improve the intellectual, physical, and social development of all children. The groundbreaking methods and techniques of The Institutes have set the standards in early childhood education. As a result, the books written by Glenn Doman, founder of this organization, have become the all-time best-selling parenting series in the United States and the world.

MATEMAX is a bilingual schoolbook of mathematical problems written with the premise that one of the fundamental ways of learning mathematics, in addition to being one of the goals of the subject, is to solve problems. The book is designed for children and young teens and aims to teach mathematics in an entertaining way. Problems are based on familiar everyday situations, and helpful hints guide students to develop strategies before diving into calculations, leading to practice in abstract thinking, an essential feature of mathematics. Presented in both English and Spanish it also provides equal access to students, parents and teachers with facility in either or both languages. An online supplement is available upon request at [email protected]. This companion book provides complete solutions, alternative methods and additional suggestions to complement the short answers contained in the book. In addition, while problems are arranged in the book as they appear naturally in life, the companion text connects the mathematical tools with standard curricula. Here is a sampling of those pages. MATEMAX es un libro escolar bilingüe de problemas matemáticos escrito bajo la premisa de que una de las formas fundamentales de aprender matemática, además de ser uno de los objetivos de la asignatura, es resolver problemas. El libro está diseñado para niños y adolescentes y tiene como objetivo enseñar matemática de una manera entretenida. Los problemas se basan en situaciones cotidianas familiares, y sugerencias útiles guían a los estudiantes para desarrollar estrategias antes de sumergirse en los cálculos, lo que lleva a la práctica del pensamiento abstracto, una característica esencial de la matemática. Presentado tanto en inglés como en español, también proporciona un acceso igual a estudiantes, padres y maestros con facilidad en uno o ambos idiomas. Un suplemento en línea está disponible a pedido en [email protected]. Este libro acompañante proporciona soluciones completas, métodos alternativos y sugerencias adicionales para complementar las respuestas cortas contenidas en el libro. Además, mientras que los problemas están ubicados en el libro como aparecen naturalmente en la vida, el texto complementario conecta las herramientas matemáticas con los planes de estudio estándar. Aquí hay una muestra de esas páginas.

The digital revolution that we have experienced since the last quarter of the twentieth century has had some influence, yet to be analysed and extended, on the way mathematics is made, taught and learned. While the rate of innovation in these technologies is growing exponentially, the potential impact of most information technologies on mathematical education remains to be fully exploited. In particular, several authoritative voices point out that the technology that will most likely transform education in the coming years is artificial intelligence (AI). Interestingly, today AI is mainly associated with technologies to automate tasks and lower costs, thus serving primarily the interests of the political-administrative, industrial and commercial world. In this scenario, the world of education and, more specifically, didactics, appears at best as a mere user of AI techniques developed in other fields, forgetting that AI should play a much more relevant role here, serving the human being who is doing his work as a mathematician or who is learning mathematics. The AI4ME symposium at the International Centre for Mathematical Meetings (CIEM) in Castro Urdiales is a space for research and reflection to better understand the interconnected challenges of instrumental learning of mathematics and instrumental mathematics, taking advantage of the achievements and opportunities of Artificial Intelligence for Mathematical Education. This book of abstracts gathers the summaries of the talks presented at the symposium, as well as the conclusions of each of the four thematic groups.

Recull dels textos de les conferències donades al Curso de Verano que, sota el títol "400 años de matemáticas en torno al último teorema de Fermat" va organitzar la Universidad Complutense de Madrid a El Escorial (Madrid), durant el mes d'agost de 1994.