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Journey to the Edge of Reason

The Life of Kurt Gödel

af Stephen Budiansky ...

The first major biography written for a general audience of the logician and mathematician whose Incompleteness Theorems helped launch a modern scientific revolution.Nearly a hundred years after its publication, Kurt Gödel’s famous proof that every mathematical system must contain propositions that are true—yet never provable—continues to unsettle mathematics, philosophy, and computer science. Yet ... Læs mere

133,36 kr.

The first major biography written for a general audience of the logician and mathematician whose Incompleteness Theorems helped launch a modern scientific revolution.Nearly a hundred years after its publication, Kurt Gödel’s famous proof that every mathematical system must contain propositions that are true—yet never provable—continues to unsettle mathematics, philosophy, and computer science. Yet
... Læs mere
Challenging Prime Number Problems

af Gerald Patterson ...

This book provides a wealth of information on the prime numbers. In the book, Dr Gerald Patterson shows the various approaches to solving the twin primes and the Goldbach conjectures. The reader may improve on some of these approaches and arrive at a strong solution. Dr Patterson has been researching the primes for many years and has published some papers relating to the primes in mathematics ... Læs mere

26,41 kr.

This book provides a wealth of information on the prime numbers. In the book, Dr Gerald Patterson shows the various approaches to solving the twin primes and the Goldbach conjectures. The reader may improve on some of these approaches and arrive at a strong solution. Dr Patterson has been researching the primes for many years and has published some papers relating to the primes in mathematics
... Læs mere
The Universal Computer

The Road from Leibniz to Turing, Third Edition

af Martin Davis ...

The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age – the logicians. ... Læs mere

461,24 kr.

The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age – the logicians.
... Læs mere
Set Theory

An Introduction to Axiomatic Reasoning

af Robert André ...

Serier serie Textbooks in Mathematics
Contemporary students of mathematics differ considerably from those of half a century ago. In spite of this, many textbooks written decades ago, and now considered to be “classics”, are still prescribed for students today. These texts are not suitable for today’s students. This text is meant for and written to today’s mathematics students.Set theory is a pure mathematics endeavor in the sense that ... Læs mere

1.062,06 kr.

Contemporary students of mathematics differ considerably from those of half a century ago. In spite of this, many textbooks written decades ago, and now considered to be “classics”, are still prescribed for students today. These texts are not suitable for today’s students. This text is meant for and written to today’s mathematics students.Set theory is a pure mathematics endeavor in the sense that
... Læs mere
Concise Introduction to Logic and Set Theory

af Iqbal H. Jebril, Hemen Dutta, Ilwoo Cho ...

Serier serie Mathematics and its Applications
This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics.The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and ... Læs mere

675,82 kr.

This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics.The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and
... Læs mere
Uncertain Data Analysis

Fuzzy Vector Algorithms

af Sansanee Auephanwiriyakul ...

This book studies different classification, detection, and decision fusion algorithms, and it helps practitioners deal with uncertainty in their data sets. Data uncertainties are considered as a collection of linguistic/fuzzy values or a vector of fuzzy numbers, and fuzzy algorithms are used to analyze these data sets. There are many theories and applications developed based on fuzzy set theory ... Læs mere

589,99 kr.

This book studies different classification, detection, and decision fusion algorithms, and it helps practitioners deal with uncertainty in their data sets. Data uncertainties are considered as a collection of linguistic/fuzzy values or a vector of fuzzy numbers, and fuzzy algorithms are used to analyze these data sets. There are many theories and applications developed based on fuzzy set theory
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Proof Theory

Sequent Calculi and Related Formalisms

af Katalin Bimbo ...

Serier serie Discrete Mathematics and Its Applications
Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi ... Læs mere

675,82 kr.

Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi
... Læs mere
Fundamentals of Analysis with Applications

af Atul Kumar Razdan, V. Ravichandran ...

Serier serie Mathematics and Statistics (R0)
This book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces, continuity and differentiability, sequences and series, Lebesgue integration, and ... Læs mere

513,59 kr.

This book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces, continuity and differentiability, sequences and series, Lebesgue integration, and
... Læs mere
Basic Language Of Mathematics

af Juan Jorge Schaffer ...

This book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies. In its entirety, it covers Algebra, Geometry and Analysis in One Variable.The book is intended to provide a comprehensive and rigorous account of the concepts of set, mapping, family, order, number (both natural and real), as well as ... Læs mere

290,83 kr.

This book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies. In its entirety, it covers Algebra, Geometry and Analysis in One Variable.The book is intended to provide a comprehensive and rigorous account of the concepts of set, mapping, family, order, number (both natural and real), as well as
... Læs mere
Weakened Ramsey Theory

af Mark R. Budden ...

Serier serie Discrete Mathematics and Its Applications
Weakened Ramsey Theory provides readers with an overview of weakened generalizations of various parameters studied in Ramsey theory. Rather than determining how large a structure must be to guarantee the existence of monochromatic substructures in a t-coloring, weakened Ramsey theory considers how large a structure must be to guarantee the existence of a substructure that uses at most a given ... Læs mere

600,72 kr.

FORUDBESTIL

Weakened Ramsey Theory provides readers with an overview of weakened generalizations of various parameters studied in Ramsey theory. Rather than determining how large a structure must be to guarantee the existence of monochromatic substructures in a t-coloring, weakened Ramsey theory considers how large a structure must be to guarantee the existence of a substructure that uses at most a given
... Læs mere
Classical and Fuzzy Concepts in Mathematical Logic and Applications, Professional Version

af Mircea S. Reghis, Eugene Roventa ...

Classical and Fuzzy Concepts in Mathematical Logic and Applications provides a broad, thorough coverage of the fundamentals of two-valued logic, multivalued logic, and fuzzy logic.Exploring the parallels between classical and fuzzy mathematical logic, the book examines the use of logic in computer science, addresses questions in automatic deduction, and describes efficient computer implementation ... Læs mere

600,72 kr.

Classical and Fuzzy Concepts in Mathematical Logic and Applications provides a broad, thorough coverage of the fundamentals of two-valued logic, multivalued logic, and fuzzy logic.Exploring the parallels between classical and fuzzy mathematical logic, the book examines the use of logic in computer science, addresses questions in automatic deduction, and describes efficient computer implementation
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Intensionality

Lecture Notes in Logic 22

Redigeret af Reinhard Kahle ...

A compilation of articles about Intensionality in philosophy, logic, linguistics, and mathematics. The articles approach the concept of Intensionality from different perspectives. Some articles address philosophical issues raised by the possible worlds approach to intensionality; others are devoted to technical aspects of modal logic. The volume hi ... Læs mere

547,07 kr.

A compilation of articles about Intensionality in philosophy, logic, linguistics, and mathematics. The articles approach the concept of Intensionality from different perspectives. Some articles address philosophical issues raised by the possible worlds approach to intensionality; others are devoted to technical aspects of modal logic. The volume hi
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Measure of Noncompactness, Fixed Point Theorems, and Applications

Redigeret af S. A. Mohiuddine, M. Mursaleen, Dragan S. Djordjević ...

The theory of the measure of noncompactness has proved its significance in various contexts, particularly in the study of fixed point theory, differential equations, functional equations, integral and integrodifferential equations, optimization, and others. This edited volume presents the recent developments in the theory of the measure of noncompactness and its applications in pure and applied ... Læs mere

632,90 kr.

The theory of the measure of noncompactness has proved its significance in various contexts, particularly in the study of fixed point theory, differential equations, functional equations, integral and integrodifferential equations, optimization, and others. This edited volume presents the recent developments in the theory of the measure of noncompactness and its applications in pure and applied
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The Math Thought Mindset

Logic, Reasoning, and Proofs

af James L. Burk ...

Serier serie Advances in Applied Mathematics
The Math Thought Mindset: Logic, Reasoning, and Proofs prioritizes the understanding of how things work, which is crucial for mastering mathematics. This mindset is central in computer science, economics, artificial intelligence, data science, machine learning, and engineering, where analytical reasoning determines success. Mathematics is a language of reasoning that reveals deeper truths about ... Læs mere

772,38 kr.

The Math Thought Mindset: Logic, Reasoning, and Proofs prioritizes the understanding of how things work, which is crucial for mastering mathematics. This mindset is central in computer science, economics, artificial intelligence, data science, machine learning, and engineering, where analytical reasoning determines success. Mathematics is a language of reasoning that reveals deeper truths about
... Læs mere
Bornologies and Lipschitz Analysis

af Gerald Beer ...

This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members. The largest bornology is the power set of the space and the smallest is the bornology of its finite subsets. Between these lie (among ... Læs mere

547,07 kr.

This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members. The largest bornology is the power set of the space and the smallest is the bornology of its finite subsets. Between these lie (among
... Læs mere
Sets And Computations

af Sy-david Friedman, Dilip Raghavan, Yue Yang ...

Serier Bog 33 - Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore
The contents in this volume are based on the program Sets and Computations that was held at the Institute for Mathematical Sciences, National University of Singapore from 30 March until 30 April 2015. This special collection reports on important and recent interactions between the fields of Set Theory and Computation Theory. This includes the new research areas of computational complexity in set ... Læs mere

675,99 kr.

The contents in this volume are based on the program Sets and Computations that was held at the Institute for Mathematical Sciences, National University of Singapore from 30 March until 30 April 2015. This special collection reports on important and recent interactions between the fields of Set Theory and Computation Theory. This includes the new research areas of computational complexity in set
... Læs mere
User, customer, or multiple actors experience:

Whose experience matters in multi-actor networks?

af Ronald Gortz, Manuela Gortz-Bonaldo ...

This book proposes a question for a topic that is so emphasized nowadays: the User Experience. The objective, however, is to bring other perspectives on the experience not only of users but also of the multiple actors that constitute multiple networks.The book is an invitation to deepen reflection on this vast subject. We hope to help readers better understand the movement of creation and ... Læs mere

117,83 kr.

This book proposes a question for a topic that is so emphasized nowadays: the User Experience. The objective, however, is to bring other perspectives on the experience not only of users but also of the multiple actors that constitute multiple networks.The book is an invitation to deepen reflection on this vast subject. We hope to help readers better understand the movement of creation and
... Læs mere
A Bridge to Higher Mathematics

af Valentin Deaconu, Donald C. Pfaff ...

Serier serie 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 ... Læs mere

933,31 kr.

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
... Læs mere
Synthetic Differential Topology

af Marta Bunge, Felipe Gago, Ana María San Luis ...

Serier Bog 448 - London Mathematical Society Lecture Note Series
This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of ... Læs mere

731,01 kr.

This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of
... Læs mere
A Concrete Introduction to Real Analysis

af Robert Carlson ...

Serier serie Textbooks in Mathematics
A Concrete Introduction to Analysis, Second Edition offers a major reorganization of the previous edition with the goal of making it a much more comprehensive and accessible for students.The standard, austere approach to teaching modern mathematics with its emphasis on formal proofs can be challenging and discouraging for many students. To remedy this situation, the new edition is more rewarding ... Læs mere

557,80 kr.

A Concrete Introduction to Analysis, Second Edition offers a major reorganization of the previous edition with the goal of making it a much more comprehensive and accessible for students.The standard, austere approach to teaching modern mathematics with its emphasis on formal proofs can be challenging and discouraging for many students. To remedy this situation, the new edition is more rewarding
... Læs mere
Introductory Concepts for Abstract Mathematics

af 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 ... Læs mere

750,92 kr.

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
... Læs mere
すぐにわかる経済数学２：集合

af 大西一弘 ...

Serier Bog 2 - すぐにわかる経済数学
本書は，経済学及び経営学を学ぶために必要な数学の入門テキストの第２巻です。現在，経済学あるいは経営学を勉強している，あるいはこれから勉強しようと考えている方はぜひお読みください。第２巻の「集合」では，要素（元），集合の記述方法，全体集合とベン図，一元集合（単位集合），空集合，有限集合・無限集合，部分集合・拡大集合，真部分集合，べき集合，集合族，和集合（合併集合），和集合の性質，共通集合（共通部分），共通集合の性質，差集合，補集合，区間，直積，集合の性質について説明しています。巻末には練習問題と解答を付けています。また，本書は，手軽にそして自由に持ち運ぶことができる電子書籍ということで，どこでもそしていつでも簡単に読むことができるように，できる限り短い文章で簡潔に説明しています。目次は以下のようになっています。はじめに集合集合要素（元）集合の記述方法<... ... Læs mere

12,28 kr. eller Gratis med Kobo Plus

本書は，経済学及び経営学を学ぶために必要な数学の入門テキストの第２巻です。現在，経済学あるいは経営学を勉強している，あるいはこれから勉強しようと考えている方はぜひお読みください。第２巻の「集合」では，要素（元），集合の記述方法，全体集合とベン図，一元集合（単位集合），空集合，有限集合・無限集合，部分集合・拡大集合，真部分集合，べき集合，集合族，和集合（合併集合），和集合の性質，共通集合（共通部分），共通集合の性質，差集合，補集合，区間，直積，集合の性質について説明しています。巻末には練習問題と解答を付けています。また，本書は，手軽にそして自由に持ち運ぶことができる電子書籍ということで，どこでもそしていつでも簡単に読むことができるように，できる限り短い文章で簡潔に説明しています。目次は以下のようになっています。はじめに集合集合要素（元）集合の記述方法<...
... Læs mere
Reflections on the Foundations of Mathematics: Essays in Honor of Solomon Feferman

Lecture Notes in Logic 15

Redigeret af Wilfried Sieg, Richard Sommer, Carolyn Talcott ...

Solomon Feferman has shaped the field of foundational research for nearly half a century. These papers, most of which were presented at the symposium honoring him at his 70th birthday, reflect his broad interests as well as his approach to foundational research, which places the solution of mathematical and philosophical problems at the top of his ... Læs mere

600,72 kr.

Solomon Feferman has shaped the field of foundational research for nearly half a century. These papers, most of which were presented at the symposium honoring him at his 70th birthday, reflect his broad interests as well as his approach to foundational research, which places the solution of mathematical and philosophical problems at the top of his
... Læs mere
Essentials of Fuzzy Soft Multisets

Theory and Applications

af Anjan Mukherjee, Ajoy Kanti Das ...

Serier serie Mathematics and Statistics (R0)
This book discusses major theories and applications of fuzzy soft multisets and their generalization which help researchers get all the related information at one place. The primary objective of this book is to help bridge the gap to provide a textbook on the theories in fuzzy soft multisets and their applications in real life. It is targeted to researchers and students working in the field of ... Læs mere

1.214,06 kr.

This book discusses major theories and applications of fuzzy soft multisets and their generalization which help researchers get all the related information at one place. The primary objective of this book is to help bridge the gap to provide a textbook on the theories in fuzzy soft multisets and their applications in real life. It is targeted to researchers and students working in the field of
... Læs mere

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Mængdelære e-bøger

Journey to the Edge of Reason

Challenging Prime Number Problems

The Universal Computer

Set Theory

Concise Introduction to Logic and Set Theory

Uncertain Data Analysis

Proof Theory

Fundamentals of Analysis with Applications

Basic Language Of Mathematics

Weakened Ramsey Theory

Classical and Fuzzy Concepts in Mathematical Logic and Applications, Professional Version

Intensionality

Measure of Noncompactness, Fixed Point Theorems, and Applications

The Math Thought Mindset

Bornologies and Lipschitz Analysis

Sets And Computations

User, customer, or multiple actors experience:

A Bridge to Higher Mathematics

Synthetic Differential Topology

A Concrete Introduction to Real Analysis

Introductory Concepts for Abstract Mathematics

すぐにわかる経済数学２：集合

Reflections on the Foundations of Mathematics: Essays in Honor of Solomon Feferman

Essentials of Fuzzy Soft Multisets