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La naturaleza de los números: una introducción. Su origen y evolución
La aritmética y el lenguaje son dos de las áreas fundamentales necesarias para enfrentarnos al mundo. Las reglas y los conceptos aritméticos llegan con la educación a formar parte del equipaje conceptual del ser humano en su proceso de entender la realidad. El lector que se tiene en mente conoce entonces la aritmética y la sabe utilizar, pero no necesariamente ha hecho una reflexión sobre ella. Le sucede con la aritmética lo mismo que con el lenguaje y sus reglas: las tiene en la mente como algo intuitivo —y quizás inconsciente— que maneja de manera suficiente para la comunicación, pero sin haber sometido ese lenguaje y sus reglas a un análisis con alguna profundidad. La ari...
La stoffa del matematico
Problemi e congetture sfidanti per appassionati di calcoli e teoremi per verificare il grado delle proprie conoscenze e abilità matematiche. Il libro propone una serie di giochi in cui cimentarsi, per misurare la propria capacità di sciogliere quesiti di matematica, di cui gli autori forniscono un'ipotesi di soluzione. L'intuizione di proprietà dei numeri, della geometria, delle funzioni è la parte più creativa della matematica e i maggiori contributi sono stati forniti dai più grandi scienziati della storia, di cui è proposta una galleria. Ma è una dote che appartiene anche ai non professionisti della matematica, ossia a persone capaci di fare le domande giuste al momento giusto del processo risolutivo.
13 Lectures on Fermat's Last Theorem
Lecture I The Early History of Fermat's Last Theorem.- 1 The Problem.- 2 Early Attempts.- 3 Kummer's Monumental Theorem.- 4 Regular Primes.- 5 Kummer's Work on Irregular Prime Exponents.- 6 Other Relevant Results.- 7 The Golden Medal and the Wolfskehl Prize.- Lecture II Recent Results.- 1 Stating the Results.- 2 Explanations.- Lecture III B.K. = Before Kummer.- 1 The Pythagorean Equation.- 2 The Biquadratic Equation.- 3 The Cubic Equation.- 4 The Quintic Equation.- 5 Fermat's Equation of Degree Seven.- Lecture IV The Naïve Approach.- 1 The Relations of Barlow and Abel.- 2 Sophie Germain.- 3 Co.
Mathematics
The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as "Is it true that mathematicians burn out at the age of 25?") ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
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Conditional Cash Transfers
Conditional Cash Transfer (CCT) programs aim to reduce poverty by making welfare programs conditional upon the receivers' actions. That is, the government only transfers the money to persons who meet certain criteria. These criteria may include enrolling children into public schools, getting regular check-ups at the doctor's office, receiving vaccinations, or the like. They have been hailed as a way of reducing inequality and helping households break out of a vicious cycle whereby poverty is transmitted from one generation to another. Do these and other claims make sense? Are they supported by the available empirical evidence? This volume seeks to answer these and other related questions. Sp...
Fermat’s Last Theorem
‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’
Women, Business and the Law 2020
Women, Business and the Law 2020, the sixth edition in a series, analyzes laws and regulations affecting women's economic inclusion in 190 economies. The Women, Business and the Law Index, composed by eight indicators structured around women's interactions with the law as they begin, progress through and end their careers, aligns different areas of the law with the economic decisions women make at various stages of their lives. The indicators are: Mobility, Workplace, Pay, Marriage, Parenthood, Entrepreneurship, Assets, and Pension.The report updates all indicators as of September 1, 2019, and builds evidence around the linkages between legal gender equality and women's economic inclusion. By examining the economic decisions women make as they go through different stages of their working lives and the pace of reforms over the past 2 years, Women, Business and the Law makes an important contribution to research and policy discussions about the state of women's economic opportunities and empowerment. While celebrating the progress made, the data and analysis emphasize the work still to be done to ensure economic empowerment for all.
The Pythagorean Theorem
Frontmatter --Contents --List of Color Plates --Preface --Prologue: Cambridge, England, 1993 --1. Mesopotamia, 1800 BCE --Sidebar 1: Did the Egyptians Know It? --2. Pythagoras --3. Euclid's Elements --Sidebar 2: The Pythagorean Theorem in Art, Poetry, and Prose --4. Archimedes --5. Translators and Commentators, 500-1500 CE --6. François Viète Makes History --7. From the Infinite to the Infinitesimal --Sidebar 3: A Remarkable Formula by Euler --8. 371 Proofs, and Then Some --Sidebar 4: The Folding Bag --Sidebar 5: Einstein Meets Pythagoras --Sidebar 6: A Most Unusual Proof --9. A Theme and Variations --Sidebar 7: A Pythagorean Curiosity --Sidebar 8: A Case of Overuse --10. Strange Coordinates --11. Notation, Notation, Notation --12. From Flat Space to Curved Spacetime --Sidebar 9: A Case of Misuse --13. Prelude to Relativity --14. From Bern to Berlin, 1905-1915 --Sidebar 10: Four Pythagorean Brainteasers --15. But Is It Universal? --16. Afterthoughts --Epilogue: Samos, 2005 --Appendixes --Chronology --Bibliography --Illustrations Credits --Index.
