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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

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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

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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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Descriptive Complexity, Canonisation, and Definable Graph Structure Theory

by Martin Grohe ...

Series Book 47 - Lecture Notes in Logic
Descriptive complexity theory establishes a connection between the computational complexity of algorithmic problems (the computational resources required to solve the problems) and their descriptive complexity (the language resources required to describe the problems). This groundbreaking book approaches descriptive complexity from the angle of modern structural graph theory, specifically graph ... Read more

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Descriptive complexity theory establishes a connection between the computational complexity of algorithmic problems (the computational resources required to solve the problems) and their descriptive complexity (the language resources required to describe the problems). This groundbreaking book approaches descriptive complexity from the angle of modern structural graph theory, specifically graph
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The Search for Mathematical Roots, 1870-1940

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by Ivor Grattan-Guinness ...

While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913).?This definitive history of a critical period ... Read more

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While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913).?This definitive history of a critical period
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Einstieg in die beweisorientierte Mathematik

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by Felix Göbler, Alex Küronya ...

Series series Life Science and Basic Disciplines (German Language)
Die Schulmathematik vermittelt meist nur einen sehr eingeschränkten Einblick in die beweisorientierte und axiomatisch aufgebaute moderne Mathematik – Studienanfänger werden daher oft unvorbereitet von der Hochschulmathematik getroffen.Dieses Lehrbuch erleichtert den nötigen Übergang zum selbstständigen Erarbeiten und Lernen mathematischer Beweise und Inhalte: Es motiviert die Lesenden, selbst ... Read more

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Natural Deduction, Hybrid Systems and Modal Logics

by Andrzej Indrzejczak ...

Series series Mathematics and Statistics (R0)
A good title should be informative enough to illuminate a potential reader on the content of a book. We hope that the present title gives at least some hints of what this book is about. The notion of natural deduction or modal logic are rather well known, but the notion of “hybrid system” certainly needs some explanation. In short, this study may be seen as a kind of search for good deductive ... Read more

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Logic: a Brief Course

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Series series Mathematics and Statistics (R0)
This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts ... Read more

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This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts
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Advances in Natural Deduction

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Edited by Luiz Carlos Pereira, Valeria de Paiva, Edward Haeusler ...

Series series Mathematics and Statistics (R0)
This collection of papers, celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his seminal research. Dag Prawitz’s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof ... Read more

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This collection of papers, celebrating the contributions of Swedish logician Dag Prawitz to Proof Theory, has been assembled from those presented at the Natural Deduction conference organized in Rio de Janeiro to honour his seminal research. Dag Prawitz’s work forms the basis of intuitionistic type theory and his inversion principle constitutes the foundation of most modern accounts of proof
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Series series 10 Things You Should Know
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Edited by Katsuhiko Sano, Ryo Hatano, Hiroakira Ono ...

Series series Philosophy and Religion (R0)
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This book brings together contributions from philosophers interested in logic and logicians with a philosophical orientation to address a variety of logical and philosophical topics of current interest, including modal logic, intuitionistic logic, relevant logic, substructural logic, many-value logic, formal semantics, proof theory, and paradox. In particular, it provides the state of the art in
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Series series Engineering (R0)
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Probabilistic Safety Assessment (PSA) is a structured, comprehensive, and logical analysis method aimed at identifying and assessing risks in complex technological systems, such as the nuclear power plants. It is also known as probabilisticrisk assessment– PRA. This book presents the theoretical basis to understand the numerous and complex aspects that are covered by PSA and it willhelp the reader
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Model Theory

Selected Lectures from the 2021 Thematic Program

Edited by Deirdre Haskell ...

Series series Mathematics and Statistics (R0)
This book provides an entry into some the key areas of research in contemporary model theory. Model theory, a branch of mathematical logic, is an exciting and vibrant discipline. Advances in pure model theory drive applications in algebra, algebraic geometry, analysis, combinatorics and number theory. The contributing authors are leaders in the field, both senior and junior, including Anand Pillay ... Read more

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This book provides an entry into some the key areas of research in contemporary model theory. Model theory, a branch of mathematical logic, is an exciting and vibrant discipline. Advances in pure model theory drive applications in algebra, algebraic geometry, analysis, combinatorics and number theory. The contributing authors are leaders in the field, both senior and junior, including Anand Pillay
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Multimedia Content Encryption

Techniques and Applications

by Shiguo Lian ...

The widespread use of image, audio, and video data makes media content protection increasingly necessary and urgent. For maximum safety, it is no longer sufficient to merely control access rights. In order to fully protect multimedia data from piracy or unauthorized use, it must be secured through encryption prior to its transmission or distribution. Multimedia Content Encryption: Techniques and ... Read more

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The widespread use of image, audio, and video data makes media content protection increasingly necessary and urgent. For maximum safety, it is no longer sufficient to merely control access rights. In order to fully protect multimedia data from piracy or unauthorized use, it must be secured through encryption prior to its transmission or distribution. Multimedia Content Encryption: Techniques and
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Model Validation and Uncertainty Quantification, Volume 3

Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics 2023

Edited by Roland Platz, Garrison Flynn, Kyle Neal, Scott Ouellette ...

Series series Springer Nature Proceedings excluding Computer Science
Model Validation and Uncertainty Quantification, Volume 3: Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics, 2023, the third volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Model Validation and Uncertainty ... Read more

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Model Validation and Uncertainty Quantification, Volume 3: Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics, 2023, the third volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Model Validation and Uncertainty
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The Error of Truth

How History and Mathematics Came Together to Form Our Character and Shape Our Worldview

by Steven J. Osterlind ...

Quantitative thinking is our inclination to view natural and everyday phenomena through a lens of measurable events, with forecasts, odds, predictions, and likelihood playing a dominant part. The Error of Truth recounts the astonishing and unexpected tale of how quantitative thinking came to be, and its rise to primacy in the nineteenth and early twentieth centuries. Additionally, it considers how ... Read more

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Quantitative thinking is our inclination to view natural and everyday phenomena through a lens of measurable events, with forecasts, odds, predictions, and likelihood playing a dominant part. The Error of Truth recounts the astonishing and unexpected tale of how quantitative thinking came to be, and its rise to primacy in the nineteenth and early twentieth centuries. Additionally, it considers how
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Logic

by Wilfrid Hodges ...

If a man supports Arsenal one day and Spurs the next then he is fickle but not necessarily illogical. From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way. Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material ... Read more

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If a man supports Arsenal one day and Spurs the next then he is fickle but not necessarily illogical. From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way. Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material
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Introductory Concepts for Abstract Mathematics

by Kenneth E. Hummel ...

Beyond calculus, the world of mathematics grows increasingly abstract and places new and challenging demands on those venturing into that realm. As the focus of calculus instruction has become increasingly computational, it leaves many students ill prepared for more advanced work that requires the ability to understand and construct proofs. Introductory Concepts for Abstract Mathematics helps ... Read more

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Beyond calculus, the world of mathematics grows increasingly abstract and places new and challenging demands on those venturing into that realm. As the focus of calculus instruction has become increasingly computational, it leaves many students ill prepared for more advanced work that requires the ability to understand and construct proofs. Introductory Concepts for Abstract Mathematics helps
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Symbolic Logic - The Original Classic Edition

by Lewis Carroll ...

Yes, this is the Lewis Carroll who wrote Alice in Wonderland, and this work shows the same quirky humor. Here you see Carroll the mathematician at his playful best. Don't let the title of the first work mislead you--this isn't about modern symbolic logic but about ways of expressing classical logic with symbols. It's loaded with amusing problems to delight any mathematical puzzler. He turns logic ... Read more

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Yes, this is the Lewis Carroll who wrote Alice in Wonderland, and this work shows the same quirky humor. Here you see Carroll the mathematician at his playful best. Don't let the title of the first work mislead you--this isn't about modern symbolic logic but about ways of expressing classical logic with symbols. It's loaded with amusing problems to delight any mathematical puzzler. He turns logic
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Logic: The Basics

by Jc Beall, Shay Allen Logan ...

Series series The Basics
Logic: The Basics is an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as:· mathematical preliminaries· propositional logic· quantified logic (first monadic, then polyadic)· English and standard ‘symbolic translations’· tableau procedures.Alongside comprehensive coverage of ... Read more

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Logic: The Basics is an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as:· mathematical preliminaries· propositional logic· quantified logic (first monadic, then polyadic)· English and standard ‘symbolic translations’· tableau procedures.Alongside comprehensive coverage of
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How to Solve It

A New Aspect of Mathematical Method

by G. Polya ...

Series series Princeton Science Library
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have ... Read more

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A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have
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Gödel's Incompleteness Theorems

by Turing Editorial Team ...

This book is a Weekend Pocketbook on One of Mathematics' Biggest Awakenings, The Gödel's Incompleteness Theorem. This discovery that changed how we understand truth, proof, mathematics, and the limits of certainty. Written in everyday language, we explore how one quiet mathematician revealed that even mathematics has truths it cannot fully capture.What happens when the most certain subject humans ... Read more

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This book is a Weekend Pocketbook on One of Mathematics' Biggest Awakenings, The Gödel's Incompleteness Theorem. This discovery that changed how we understand truth, proof, mathematics, and the limits of certainty. Written in everyday language, we explore how one quiet mathematician revealed that even mathematics has truths it cannot fully capture.What happens when the most certain subject humans
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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

Descriptive Complexity, Canonisation, and Definable Graph Structure Theory

The Search for Mathematical Roots, 1870-1940

Einstieg in die beweisorientierte Mathematik

Natural Deduction, Hybrid Systems and Modal Logics

Logic: a Brief Course

Advances in Natural Deduction

Numbers

Exploring Negation, Modality and Proof

Selected Topics in Probabilistic Safety Assessment

Model Theory

Multimedia Content Encryption

Model Validation and Uncertainty Quantification, Volume 3

The Error of Truth

Logic

Introductory Concepts for Abstract Mathematics

Symbolic Logic - The Original Classic Edition

Logic: The Basics

How to Solve It

Gödel's Incompleteness Theorems