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Build a Mathematical Mind - Even If You Think You Can't Have One

by Albert Rutherford ...

Would you like to be a proficient mathematician… without using numbers?There is so much more to math than geometry and calculus! It is present in almost every life aspect, from improving your communication skills to how to fit your luggage into your car.Did you always hate math because you couldn't understand complex formulas?Don't let a few equations or a bad teacher deter you from building a ... Read more

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Would you like to be a proficient mathematician… without using numbers?There is so much more to math than geometry and calculus! It is present in almost every life aspect, from improving your communication skills to how to fit your luggage into your car.Did you always hate math because you couldn't understand complex formulas?Don't let a few equations or a bad teacher deter you from building a
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Alan M. Turing

Centenary Edition

by Sara Turing, John Turing ...

'In a short life he accomplished much, and to the roll of great names in the history of his particular studies added his own.' So is described one of the greatest figures of the twentieth century, yet Alan Turing's name was not widely recognised until his contribution to the breaking of the German Enigma code became public in the 1970s. The story of Turing's life fascinates and in the years since ... Read more

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'In a short life he accomplished much, and to the roll of great names in the history of his particular studies added his own.' So is described one of the greatest figures of the twentieth century, yet Alan Turing's name was not widely recognised until his contribution to the breaking of the German Enigma code became public in the 1970s. The story of Turing's life fascinates and in the years since
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Advances in Proof-Theoretic Semantics

Edited by Thomas Piecha, Peter Schroeder-Heister ...

Series series Mathematics and Statistics (R0)
This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, ... Read more

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This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory,
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How to Bake Pi

An Edible Exploration of the Mathematics of Mathematics

by Eugenia Cheng ...

**One of the world's most creative mathematicians finds the meaning of mathematics in the kitchen  ****“Whimsical…rigorous and insightful.” —**New York TimesWhat is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, ... Read more

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**One of the world's most creative mathematicians finds the meaning of mathematics in the kitchen  ****“Whimsical…rigorous and insightful.” —**New York TimesWhat is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered,
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Descartes' Error

Emotion, Reason, and the Human Brain

by Antonio Damasio ...

**"An ambitious and meticulous foray into the nature of being." -- The Boston GlobeA landmark exploration of the relationship between emotion and reason**Since Descartes famously proclaimed, "I think, therefore I am," science has often overlooked emotions as the source of a person’s true being. Even modern neuroscience has tended, until recently, to concentrate on the cognitive aspects of brain ... Read more

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**"An ambitious and meticulous foray into the nature of being." -- The Boston GlobeA landmark exploration of the relationship between emotion and reason**Since Descartes famously proclaimed, "I think, therefore I am," science has often overlooked emotions as the source of a person’s true being. Even modern neuroscience has tended, until recently, to concentrate on the cognitive aspects of brain
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Logic, Rationality, and Interaction

7th International Workshop, LORI 2019, Chongqing, China, October 18–21, 2019, Proceedings

Edited by Patrick Blackburn, Emiliano Lorini, Meiyun Guo ...

Series series Springer Nature Proceedings excluding Computer Science
This LNCS book is part of the FOLLI book series and constitutes the proceedings of the 7th International Workshop on Logic, Rationality, and Interaction, LORI 2019, held in Chongqing, China, in October 2019.The 31 papers presented in this book were carefully reviewed and selected from 56 submissions. They focus on the following topics: agency; argumentation and agreement; belief revision and ... Read more

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This LNCS book is part of the FOLLI book series and constitutes the proceedings of the 7th International Workshop on Logic, Rationality, and Interaction, LORI 2019, held in Chongqing, China, in October 2019.The 31 papers presented in this book were carefully reviewed and selected from 56 submissions. They focus on the following topics: agency; argumentation and agreement; belief revision and
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A Bridge to Higher Mathematics

by Valentin Deaconu, Donald C. Pfaff ...

Series series Textbooks in Mathematics
A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought.The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using ... Read more

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A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought.The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using
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Puzzling Adventures

Tales of Strategy, Logic, and Mathematical Skill

by Dennis E. Shasha ...

Hours of recreational reckoning.Collected and enhanced from Dennis Shasha's popular Scientific American column, here are thirty-six of the most innovative and emotive mathematical puzzles ever to appear in its pages. Edgy, challenging and representing the ultimate in recreational mathematical games, Puzzling Adventures dares the reader to work out the logic underlying venture fund investments, ... Read more

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Hours of recreational reckoning.Collected and enhanced from Dennis Shasha's popular Scientific American column, here are thirty-six of the most innovative and emotive mathematical puzzles ever to appear in its pages. Edgy, challenging and representing the ultimate in recreational mathematical games, Puzzling Adventures dares the reader to work out the logic underlying venture fund investments,
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Stochastic Calculus with Infinitesimals

by Frederik S. Herzberg ...

Series series Mathematics and Statistics (R0)
Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry. It also has numerous applications in the natural and social sciences (for instance in financial mathematics or theoretical quantum mechanics) and therefore appears in physics and economics curricula as well. However, existing approaches to ... Read more

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Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry. It also has numerous applications in the natural and social sciences (for instance in financial mathematics or theoretical quantum mechanics) and therefore appears in physics and economics curricula as well. However, existing approaches to
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Strict Finitism and the Logic of Mathematical Applications

by Feng Ye ...

Series series Philosophy and Religion (R0)
This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the ... Read more

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This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the
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Maths in Bite-sized Chunks

by Chris Waring ...

Series Book 6 - Bite-Sized Chunks
Let the real world show you how maths works.Maths is often cited as the ‘most difficult’ or ‘complex’ subject to study, many people admitting to a wariness that was probably ingrained into them in their schooldays. In Maths in Bite-sized Chunks, Chris Waring proves that it’s easy to break the subject down into accessible, understandable information, much of which, in fact, we use in one way or ... Read more

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Let the real world show you how maths works.Maths is often cited as the ‘most difficult’ or ‘complex’ subject to study, many people admitting to a wariness that was probably ingrained into them in their schooldays. In Maths in Bite-sized Chunks, Chris Waring proves that it’s easy to break the subject down into accessible, understandable information, much of which, in fact, we use in one way or
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A Practical Logic of Cognitive Systems

The Reach of Abduction: Insight and Trial

by Dov M. Gabbay, John Woods ...

The present work is a continuation of the authors' acclaimed multi-volume APractical Logic of Cognitive Systems. After having investigated the notion ofrelevance in their previous volume, Gabbay and Woods now turn to abduction. Inthis highly original approach, abduction is construed as ignorance-preservinginference, in which conjecture plays a pivotal role. Abduction is a response to acognitive ... Read more

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The present work is a continuation of the authors' acclaimed multi-volume APractical Logic of Cognitive Systems. After having investigated the notion ofrelevance in their previous volume, Gabbay and Woods now turn to abduction. Inthis highly original approach, abduction is construed as ignorance-preservinginference, in which conjecture plays a pivotal role. Abduction is a response to acognitive
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Reading, Writing, and Proving

A Closer Look at Mathematics

by Ulrich Daepp, Pamela Gorkin ...

Series series Mathematics and Statistics (R0)
This book, which assumes only a precalculus background, aids students in their transition to higher-level mathematics. The authors begin by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and end with suggested projects for independent study. The reader will follow Pólya's four step approach to problem solving: analyzing the problem, ... Read more

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This book, which assumes only a precalculus background, aids students in their transition to higher-level mathematics. The authors begin by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and end with suggested projects for independent study. The reader will follow Pólya's four step approach to problem solving: analyzing the problem,
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Der Untergang von Mathemagika

Ein Roman über eine Welt jenseits unserer Vorstellung

by Karl Kuhlemann ...

Series series Life Science and Basic Disciplines (German Language)
Was haben ein König und eine Prinzessin in der Mengenlehre zu suchen? Eine Menge!In dem fantastischen Königreich Mathemagika erleben die Freunde Prof und Dio eine abenteuerliche Geschichte um das rätselhafte Verschwinden eines Ministers, eine bezaubernde Prinzessin – und einen der verrücktesten Sätze der Mathematik: das Banach-Tarski-Paradoxon. Es behauptet zum Beispiel, dass man eine Kugel von ... Read more

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Was haben ein König und eine Prinzessin in der Mengenlehre zu suchen? Eine Menge!In dem fantastischen Königreich Mathemagika erleben die Freunde Prof und Dio eine abenteuerliche Geschichte um das rätselhafte Verschwinden eines Ministers, eine bezaubernde Prinzessin – und einen der verrücktesten Sätze der Mathematik: das Banach-Tarski-Paradoxon. Es behauptet zum Beispiel, dass man eine Kugel von
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Seduced by Logic

Émilie Du Châtelet, Mary Somerville and the Newtonian Revolution

by Robyn Arianrhod ...

Newton's explanation of the natural law of universal gravity shattered the way mankind perceived the universe, and hence it was not immediately embraced. After all, how can anyone warm to a force that cannot be seen or touched? But for two women, separated by time and space but joined in their passion for Newtonian physics, the intellectual power of that force drove them to great achievements. ... Read more

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Newton's explanation of the natural law of universal gravity shattered the way mankind perceived the universe, and hence it was not immediately embraced. After all, how can anyone warm to a force that cannot be seen or touched? But for two women, separated by time and space but joined in their passion for Newtonian physics, the intellectual power of that force drove them to great achievements.
... Read more
Selected Mathematical Works

Symbolic Logic + The Game of Logic + Feeding the Mind

by Lewis Carroll ...

In "Selected Mathematical Works," Lewis Carroll, renowned for his whimsical storytelling, unveils a lesser-known facet of his genius: his profound contributions to mathematics. This compilation features illuminating essays and problems that reflect his keen analytical mind and playful spirit. Carroll's literary style, characterized by clarity and an inviting tone, is evident as he navigates ... Read more

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In "Selected Mathematical Works," Lewis Carroll, renowned for his whimsical storytelling, unveils a lesser-known facet of his genius: his profound contributions to mathematics. This compilation features illuminating essays and problems that reflect his keen analytical mind and playful spirit. Carroll's literary style, characterized by clarity and an inviting tone, is evident as he navigates
... Read more
Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition

by Angela Axworthy ...

Series series Mathematics and Statistics (R0)
A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions, which state the mode of generation of geometrical objects instead of their essential properties. While the growing ... Read more

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A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions, which state the mode of generation of geometrical objects instead of their essential properties. While the growing
... Read more
Code Warriors

NSA's Codebreakers and the Secret Intelligence War Against the Soviet Union

by Stephen Budiansky ...

A sweeping, in-depth history of NSA, whose famous “cult of silence” has left the agency shrouded in mystery for decadesThe National Security Agency was born out of the legendary codebreaking programs of World War II that cracked the famed Enigma machine and other German and Japanese codes, thereby turning the tide of Allied victory. In the postwar years, as the United States developed a new enemy ... Read more

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A sweeping, in-depth history of NSA, whose famous “cult of silence” has left the agency shrouded in mystery for decadesThe National Security Agency was born out of the legendary codebreaking programs of World War II that cracked the famed Enigma machine and other German and Japanese codes, thereby turning the tide of Allied victory. In the postwar years, as the United States developed a new enemy
... Read more
Are You a Secret Genius?

The addictive family puzzle book

by HarperCollins ...

There’s more than one way to be a genius!100 fiendish puzzles. Five ways to think. One question: is there a genius hiding in your family?The official puzzle book of the hit Channel 4 series Secret Genius, created by the programme-makers in collaboration with Mensa, Are You A Secret Genius? is packed with 100 mind-bending puzzles that celebrate reasoning in all its forms.Test yourself across five ... Read more

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There’s more than one way to be a genius!100 fiendish puzzles. Five ways to think. One question: is there a genius hiding in your family?The official puzzle book of the hit Channel 4 series Secret Genius, created by the programme-makers in collaboration with Mensa, Are You A Secret Genius? is packed with 100 mind-bending puzzles that celebrate reasoning in all its forms.Test yourself across five
... Read more
Infinity And Truth

by Chitat Chong, Qi Feng, Theodore A Slaman, W Hugh Woodin ...

Series Book 25 - Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore
This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the ... Read more

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This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the
... Read more
Logical Frameworks for Truth and Abstraction

An Axiomatic Study

by A. Cantini ...

Series Book 135 - Studies in Logic and the Foundations of Mathematics
This English translation of the author's original work has been thoroughly revised, expanded and updated.The book covers logical systems known as type-free or self-referential. These traditionally arise from any discussion on logical and semantical paradoxes. This particular volume, however, is not concerned with paradoxes but with the investigation of type-free sytems to show that: (i) there are ... Read more

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This English translation of the author's original work has been thoroughly revised, expanded and updated.The book covers logical systems known as type-free or self-referential. These traditionally arise from any discussion on logical and semantical paradoxes. This particular volume, however, is not concerned with paradoxes but with the investigation of type-free sytems to show that: (i) there are
... Read more
Voyage dans le temps

identité ou différence

by MAMADOU COULIBALY ...

Envie de voyager dans le temps, bienvenue à bord.Chapitre I - ExistenceQuestions existentielles (existence, vérité, repos, mouvement, etc.)Chapitre II - Individus et propriétéQuestions logico-mathématiques (individus, propriétés, nombres, opérations, problèmes logico-mathématiques - ex. « Hypothèses de Riemann », « P = NP ? » -, etc.) ... Read more

PHP214.58 or Free with Kobo Plus

Envie de voyager dans le temps, bienvenue à bord.Chapitre I - ExistenceQuestions existentielles (existence, vérité, repos, mouvement, etc.)Chapitre II - Individus et propriétéQuestions logico-mathématiques (individus, propriétés, nombres, opérations, problèmes logico-mathématiques - ex. « Hypothèses de Riemann », « P = NP ? » -, etc.)
... Read more
You Create Your Reality: Mathematical Evidence

by Richard Lighthouse ...

This short technical ebook presents a summary of the universal probabilities involved from the perspective of a single elementary particle. There are numerous probabilities that have near-infinite variations. Combined together, we can conclude that for all practical purposes the total probabilities are infinite, in our terms. Seth was fond of stating that, "There are no coincidences," and "There ... Read more

PHP245.78

This short technical ebook presents a summary of the universal probabilities involved from the perspective of a single elementary particle. There are numerous probabilities that have near-infinite variations. Combined together, we can conclude that for all practical purposes the total probabilities are infinite, in our terms. Seth was fond of stating that, "There are no coincidences," and "There
... Read more
A Mathematical Prelude to the Philosophy of Mathematics

by Stephen Pollard ...

Series series Philosophy and Religion (R0)
This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give ... Read more

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This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give
... Read more

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Recommended For You

Logic eBooks

Build a Mathematical Mind - Even If You Think You Can't Have One

Alan M. Turing

Advances in Proof-Theoretic Semantics

How to Bake Pi

Descartes' Error

Logic, Rationality, and Interaction

A Bridge to Higher Mathematics

Puzzling Adventures

Stochastic Calculus with Infinitesimals

Strict Finitism and the Logic of Mathematical Applications

Maths in Bite-sized Chunks

A Practical Logic of Cognitive Systems

Reading, Writing, and Proving

Der Untergang von Mathemagika

Seduced by Logic

Selected Mathematical Works

Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition

Code Warriors

Are You a Secret Genius?

Infinity And Truth

Logical Frameworks for Truth and Abstraction

Voyage dans le temps

You Create Your Reality: Mathematical Evidence

A Mathematical Prelude to the Philosophy of Mathematics