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The Logic of Infinity

de Barnaby Sheppard ...

Few mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the door to an intricate axiomatic theory of sets which was born in the decades that followed. Written for the motivated novice, this book provides an overview of key ideas in set theory, bridging the gap between technical accounts of mathematical ... Leer más

$57.99 USD

Few mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the door to an intricate axiomatic theory of sets which was born in the decades that followed. Written for the motivated novice, this book provides an overview of key ideas in set theory, bridging the gap between technical accounts of mathematical
... Leer más

Introducing Infinity

A Graphic Guide

de Brian Clegg ...

Series series Graphic Guides
Infinity is a profoundly counter-intuitive and brain-twisting subject that has inspired some great thinkers – and provoked and shocked others.The ancient Greeks were so horrified by the implications of an endless number that they drowned the man who gave away the secret. And a German mathematician was driven mad by the repercussions of his discovery of transfinite numbers.Brian Clegg and Oliver ... Leer más

$5.99 USD o gratis con Kobo Plus

Infinity is a profoundly counter-intuitive and brain-twisting subject that has inspired some great thinkers – and provoked and shocked others.The ancient Greeks were so horrified by the implications of an endless number that they drowned the man who gave away the secret. And a German mathematician was driven mad by the repercussions of his discovery of transfinite numbers.Brian Clegg and Oliver
... Leer más
Basic Category Theory

de Tom Leinster ...

Series Libro 143 - Cambridge Studies in Advanced Mathematics
At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in ... Leer más

$63.99 USD

At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in
... Leer más
The philosophy of mathematics

de Comte ...

The Philosophy of Mathematics by Auguste Comte is a foundational work that explores the logical structure, historical development, and philosophical implications of mathematics. Comte, a pioneering figure in the field of positivism, delves into the evolution of mathematical thought from its earliest origins in ancient civilizations to its sophisticated forms in the modern era. The book examines ... Leer más

$29.99 USD

The Philosophy of Mathematics by Auguste Comte is a foundational work that explores the logical structure, historical development, and philosophical implications of mathematics. Comte, a pioneering figure in the field of positivism, delves into the evolution of mathematical thought from its earliest origins in ancient civilizations to its sophisticated forms in the modern era. The book examines
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Single Digits

In Praise of Small Numbers

de Marc Chamberland ...

The remarkable properties of the numbers one through nineIn Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics. For instance, why do eight perfect card ... Leer más

$15.89 USD

The remarkable properties of the numbers one through nineIn Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics. For instance, why do eight perfect card
... Leer más
Godel's Mistake

The Role of Meaning in Mathematics

de Ashish Dalela ...

Gödel's incompleteness theorem is a foundational result in mathematics that proves that any axiomatic theory of numbers will be either inconsistent or incomplete. Turing’s Halting problem is a foundational result in computing proving that computers cannot know if a program will halt. Gödel’s Mistake connects these theorems to the question of meaning. The book shows that the proofs arise due to ... Leer más

$2.99 USD

Gödel's incompleteness theorem is a foundational result in mathematics that proves that any axiomatic theory of numbers will be either inconsistent or incomplete. Turing’s Halting problem is a foundational result in computing proving that computers cannot know if a program will halt. Gödel’s Mistake connects these theorems to the question of meaning. The book shows that the proofs arise due to
... Leer más
Set Theory

A First Course

de Daniel W. Cunningham ...

Series series Cambridge Mathematical Textbooks
Set theory is a rich and beautiful subject whose fundamental concepts permeate virtually every branch of mathematics. One could say that set theory is a unifying theory for mathematics, since nearly all mathematical concepts and results can be formalized within set theory. This textbook is meant for an upper undergraduate course in set theory. In this text, the fundamentals of abstract sets, ... Leer más

$59.99 USD

Set theory is a rich and beautiful subject whose fundamental concepts permeate virtually every branch of mathematics. One could say that set theory is a unifying theory for mathematics, since nearly all mathematical concepts and results can be formalized within set theory. This textbook is meant for an upper undergraduate course in set theory. In this text, the fundamentals of abstract sets,
... Leer más
One Hundred Prisoners and a Light Bulb

de Hans van Ditmarsch, Barteld Kooi ...

Series series Mathematics and Statistics (R0)
A group of 100 prisoners, all together in the prison dining area, are told that they will be all put in isolation cells and then will be interrogated one by one in a room containing a light with an on/off switch. The prisoners may communicate with one another by toggling the light switch (and that is the only way in which they can communicate). The light is initially switched off. There is no ... Leer más

$18.99 USD

A group of 100 prisoners, all together in the prison dining area, are told that they will be all put in isolation cells and then will be interrogated one by one in a room containing a light with an on/off switch. The prisoners may communicate with one another by toggling the light switch (and that is the only way in which they can communicate). The light is initially switched off. There is no
... Leer más
Appalachian Set Theory

2006–2012

Edición de James Cummings, Ernest Schimmerling ...

Series Libro 406 - London Mathematical Society Lecture Note Series
This volume takes its name from a popular series of intensive mathematics workshops hosted at institutions in Appalachia and surrounding areas. At these meetings, internationally prominent set theorists give one-day lectures that focus on important new directions, methods, tools and results so that non-experts can begin to master these and incorporate them into their own research. Each chapter in ... Leer más

$74.99 USD

This volume takes its name from a popular series of intensive mathematics workshops hosted at institutions in Appalachia and surrounding areas. At these meetings, internationally prominent set theorists give one-day lectures that focus on important new directions, methods, tools and results so that non-experts can begin to master these and incorporate them into their own research. Each chapter in
... Leer más
A Logical Introduction to Proof

de Daniel W. Cunningham ...

Series series Mathematics and Statistics (R0)
The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of ... Leer más

$53.99 USD

The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of
... Leer más
Mind-Blowing Math

Mysteries Revealed

de Nansea Cross ...

Nansea Cross, a math teacher and tutor, shares discoveries that make math easier to teach and more exciting to learn. Beginning with the multiplication table, she found that all the multiples of all the numberstaken through a simple processreveal different patterns. Looking deeper, she realized that these patterns repeat, have symmetry, and all add up to the same reduced number. The patterns occur ... Leer más

$3.99 USD

Nansea Cross, a math teacher and tutor, shares discoveries that make math easier to teach and more exciting to learn. Beginning with the multiplication table, she found that all the multiples of all the numberstaken through a simple processreveal different patterns. Looking deeper, she realized that these patterns repeat, have symmetry, and all add up to the same reduced number. The patterns occur
... Leer más
Benford's Law

Theory and Applications

Edición de Steven J. Miller ...

Benford's law states that the leading digits of many data sets are not uniformly distributed from one through nine, but rather exhibit a profound bias. This bias is evident in everything from electricity bills and street addresses to stock prices, population numbers, mortality rates, and the lengths of rivers. Here, Steven Miller brings together many of the world’s leading experts on Benford’s law ... Leer más

$70.59 USD

Benford's law states that the leading digits of many data sets are not uniformly distributed from one through nine, but rather exhibit a profound bias. This bias is evident in everything from electricity bills and street addresses to stock prices, population numbers, mortality rates, and the lengths of rivers. Here, Steven Miller brings together many of the world’s leading experts on Benford’s law
... Leer más

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“barnaby sheppard”

The Logic of Infinity

La gente que leyó esto también disfrutó

Introducing Infinity

Basic Category Theory

The philosophy of mathematics

Single Digits

Godel's Mistake

Set Theory

One Hundred Prisoners and a Light Bulb

Appalachian Set Theory

A Logical Introduction to Proof

Mind-Blowing Math

Benford's Law

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