Mathematical logic Books
Taylor & Francis An Introduction to Manyvalued Logics
Book SynopsisOriginally published in 1967. An introduction to the literature of nonstandard logic, in particular to those nonstandard logics known as many-valued logics. Part I expounds and discusses implicational calculi, modal logics and many-valued logics and their associated calculi. Part II considers the detailed development of various many-valued calculi, and some of the important metathereoms which have been proved for them. Applications of the calculi to problems in the philosophy are also surveyed. This work combines criticism with exposition to form a comprehensive but concise survey of the field. Table of ContentsPart 1: Nonstandard Logics 1. Implicational Calculi 2. Modal Logics 3. Many-valued Logics 4. Nonstandard Calculi Part 2: Many-valued Calculi 5. Lukasiewicz-Tarski Propositional Calculi 6. Other Many-valued Calculi 7. Applications of Many-valued Calculi
£93.72
Taylor & Francis Quantification Theory 7 Routledge Library Editions Logic
Book SynopsisOriginally published in 1964. This book is concerned with general arguments, by which is meant broadly arguments that rely for their force on the ideas expressed by all, every, any, some, none and other kindred words or phrases. A main object of quantificational logic is to provide methods for evaluating general arguments. To evaluate a general argument by these methods we must first express it in a standard form. Quantificational form is dealt with in chapter one and in part of chapter three; in the remainder of the book an account is given of methods by which arguments when formulated quantificationally may be tested for validity or invalidity. Some attention is also paid to the logic of identity and of definite descriptions. Throughout the book an attempt has been made to give a clear explanation of the concepts involved and the symbols used; in particular a step-by-step and partly mechanical method is developed for translating complicated statements of ordinary discourse into the appropriate quantificational formulae. Some elementary knowledge of truth-functional logic is presupposed. Table of Contents1. (1. Introduction 2. Direct and indirect evaluation . 3. Quantifier-matrix form of singular statements 4. An alternative formulation 5. Universes of discourse 6. Quantifier-matrix form of general statements 7. Predicate and argument 8. Predicate abbreviation and substitution 9. Quantificational form 10. The question of existential import 11. Definitions) 2. (1. Quantificational validity 2. Deduction 3. The rule EI*; dummy names 4. The rules EG*, UI* and UG* 5. The rules SD* and SQ*; the restriction in SQ* 6. Examples 7. Explanatory remarks about UG* 8. Replacement of starred rules by unstarred rules: EI, EG, UI, UG) 3. (1. List of rules 2. Interpretation of the rules 3. Principles of single quantification; deductions 4. Multiple quantification; introduction 5. Expressing multiply general statements in quantificational form 6. Principles of multiple quantification; deductions 7. Identity 8. Definite descriptions; the iota operator) 4. (1. Reformulated definitions of validity; proof of invalidity 2. Quantifier-free equivalents 3. Testing QFE’s for falsifiability 4. Predicate and subject 5. Special considerations relating to identity 6. Examples of invalidity proofs 7. Decision problems)
£87.39
Taylor & Francis TruthFunctional Logic 8 Routledge Library Editions Logic
Book SynopsisOriginally published in 1962. This book gives an account of the concepts and methods of a basic part of logic. In chapter I elementary ideas, including those of truth-functional argument and truth-functional validity, are explained. Chapter II begins with a more comprehensive account of truth-functionality; the leading characteristics of the most important monadic and dyadic truth-functions are described, and the different notations in use are set forth. The main part of the book describes and explains three different methods of testing truth-functional aguments and agument forms for validity: the truthtable method, the deductive method and the method of normal forms; for the benefit mainly of readers who have not acquired in one way or another a general facility in the manipulation of symbols some of the procedures have been described in rather more detail than is common in texts of this kind. In the final chapter the author discusses and rejects the view, based largely on the so called paradoxes of material implication, that truth-functional logic is not applicable in any really important way to arguments of ordinary discourse. Table of Contents1. Introduction 2. Truth-functions 3. The Truth-Table Method 4. The Deductive Method 5. Part I: Normal Forms; Part II: Applicability and Limitations of Truth-Functional Logic
£87.39
Taylor & Francis Elementary Formal Logic A Programmed Course 11 Routledge Library Editions Logic
Book SynopsisOriginally published in 1966. This is a self-instructional course intended for first-year university students who have not had previous acquaintance with Logic. The book deals with propositional logic by the truth-table method, briefly introducing axiomatic procedures, and proceeds to the theory of the syllogism, the logic of one-place predicates, and elementary parts of the logic of many-place predicates. Revision material is provided covering the main parts of the course. The course represents from eight to twenty hours work. depending on the student's speed of work and on whether optional chapters are taken.Table of ContentsIntroduction Part 1: Logical Relations 1. Statements and Logical Strictness 2. Implication and Equivalence 3. Contradiction and Contrariety 4. Subcontrariety and Indifference 5. Ambiguity and Empty Terms Part 2: The Logic of Unanalysed Statements 6. Negation and Conjunction 7. Disjunction 8. Implication and Truth-Tables 9. Tautologies and Material Implication 10. Material Equivalence: Rules of Inference 11. Logic from Axioms 12. Logical Relations by Truth-Table Part 3: The Logic of Predicates 13. Syllogisms 14. Existential Presuppositions 15. Predicates and Quantifiers 16. The Elementary Logic of Relations. Revision Chapters
£87.39
Taylor & Francis Topics in Modern Logic
Book SynopsisOriginally published in 1973. This book is directed to the student of philosophy whose background in mathematics is very limited. The author strikes a balance between material of a philosophical and a formal kind, and does this in a way that will bring out the intricate connections between the two. On the formal side, he gives particular care to provide the basic tools from set theory and arithmetic that are needed to study systems of logic, setting out completeness results for two, three, and four valued logic, explaining concepts such as freedom and bondage in quantificational logic, describing the intuitionistic conception of the logical operators, and setting out Zermelo's axiom system for set theory. On the philosophical side, he gives particular attention to such topics as the problem of entailment, the import of the LÃwenheim-Skolem theorem, the expressive powers of quantificational logic, the ideas underlying intuitionistic logic, the nature of set theory, and the relationshTable of ContentsPreface 1. Some Aspects of Truth-Functional Logic 2. Some Modified Implication Relations 3. Some Aspects of Quantificational Logic 4. Remarks on the Intuitionistic Approach to Logic 5. From Logic to Set Theory. Answers to Selected Exercises. Guide to Further Reading
£87.39
Taylor & Francis The Elements of Formal Logic 12 Routledge Library Editions Logic
Book SynopsisOriginally published in 1965. This is a textbook of modern deductive logic, designed for beginners but leading further into the heart of the subject than most other books of the kind. The fields covered are the Propositional Calculus, the more elementary parts of the Predicate Calculus, and Syllogistic Logic treated from a modern point of view. In each of the systems discussed the main emphases are on Decision Procedures and Axiomatisation, and the material is presented with as much formal rigour as is compatible with clarity of exposition. The techniques used are not only described but given a theoretical justification. Proofs of Consistency, Completeness and Independence are set out in detail. The fundamental characteristics of the various systems studies, and their relations to each other are established by meta-logical proofs, which are used freely in all sections of the book. Exercises are appended to most of the chapters, and answers are provided.Table of ContentsPreface 1. Validity Part 1: The Propositional Calculus: Elements and Decision Procedures 2. Some Simple Forms of Inference 3. Establishing Validity (Theory) 4. Establishing Validity (Practice) 5. Disjunction and Disjunctive Inference 6. Material Equivalence: ‘If and Only If‘ 7. Valid Inference and Proof 8. The Propositional Calculus 9. Truth-tables as a Decision Procedure 10. Equivalence Transformations 11. Another Decision Procedure Part 2: The Propositional Calculus: Axiomatic Systems 12. Operations of Inference 13. Axiomatic Systems 14. Formal Axiomatic Systems 15. The System PM (I) 16. PM (II) Substitution of Equivalents 17. PM (III) Some Further Theorems 18. PM (IV) Independence and Non-independence 19. Consistency and Completeness of PM 20. The System TB 21. Extensions of TB: The System W 22. Consistency and Completeness of W 23. The Elements of Formal Logic Part 3: The Lower Predicate Calculus Some General Remarks on Part 3 23. The Lower Predicate Calculus: Introduction 24. The System LPCl 25. LPCl: Decision Procedure I - The Truth-table Method 26. Universes of Discourse - Justification of Decision Procedure 27. LPCI : Decision Procedure II - Exposition 28. LPCI : Decision Procedure II - Justification 29. LPCl: Axiomatization 30. LPCl : Consistency and Completeness 31. The System LPC2: Introductory 32. LPC2: Decision Procedure I 33. LPC2: Decision Procedure II - Exposition 34. LPC2: Decision Procedure II - Justification 35. LPC2: Axiomatization 36. LPC2 and the Logic of an Empty Universe 37. Multiple Quantification I 38. Equivalence Transformations of Quantifiers 39. Multiple Quantification II 40. Multiple Quantification III 41. The Lower Predicate Calculus: Conclusion Part 4: Syllogistic Introductory Note 42. Résumé of Traditional Syllogistic Logic 43. Syllogistic and the Predicate Calculus 44. Syllogistic Moods under Interpretation 1: The Antilogism Theorem 45. Syllogistic and LPC1: Further Interpretations 46. Syllogistic and LPC1: Another Approach 47. The Validity of Syllogisms Reconsidered: An Extension of the Antilogism Theorem 48. Syllogistic: An Axiomatic Presentation 49. On the Meta-Iogic of AS. Appendices
£135.00
Taylor & Francis The Development of Mathematical Logic
Book SynopsisOriginally published in 1962. A clear and simple account of the growth and structure of Mathematical Logic, no earlier knowledge of logic being required. After outlining the four lines of thought that have been its roots - the logic of Aristotle, the idea of all the parts of mathematics as systems to be designed on the same sort of plan as that used by Euclid and his Elements, and the discoveries in algebra and geometry in 1800-1860 - the book goes on to give some of the main ideas and theories of the chief writers on Mathematical Logic: De Morgan, Boole, Jevons, Pierce, Frege, Peano, Whitehead, Russell, Post, Hilbert and Goebel. Written to assist readers who require a general picture of current logic, it will also be a guide for those who will later be going more deeply into the expert details of this field. Table of Contents1. Purpose and Language of the Book 2. Aristotle’s Syllogistic 3. The Idea of a Complete, Automatic Language for Reasoning 4. Changes in Algebra and Geometry, 1825-1900 5. Consistency and Metamathematics 6. Boole’s Algebra of Logic 7. The Algebra of Logic after Boole: Jevons, Peirce and Schroeder 8. Frege’s Logic 9. Cantor’s Arithmetic of Classes 10. Peano’s Logic 11. Whitehead and Russell’s ‘Principia Mathematica’ 12. Mathematical Logic after ‘Principia Mathematica’: Hilbert’s Metamathematics
£93.72
Taylor & Francis Quantification Theory Routledge Library Editions Logic
Book SynopsisOriginally published in 1964. This book is concerned with general arguments, by which is meant broadly arguments that rely for their force on the ideas expressed by all, every, any, some, none and other kindred words or phrases. A main object of quantificational logic is to provide methods for evaluating general arguments. To evaluate a general argument by these methods we must first express it in a standard form. Quantificational form is dealt with in chapter one and in part of chapter three; in the remainder of the book an account is given of methods by which arguments when formulated quantificationally may be tested for validity or invalidity. Some attention is also paid to the logic of identity and of definite descriptions. Throughout the book an attempt has been made to give a clear explanation of the concepts involved and the symbols used; in particular a step-by-step and partly mechanical method is developed for translating complicated statements of ordinary discourse into the appropriate quantificational formulae. Some elementary knowledge of truth-functional logic is presupposed. Table of Contents1. (1. Introduction 2. Direct and indirect evaluation . 3. Quantifier-matrix form of singular statements 4. An alternative formulation 5. Universes of discourse 6. Quantifier-matrix form of general statements 7. Predicate and argument 8. Predicate abbreviation and substitution 9. Quantificational form 10. The question of existential import 11. Definitions) 2. (1. Quantificational validity 2. Deduction 3. The rule EI*; dummy names 4. The rules EG*, UI* and UG* 5. The rules SD* and SQ*; the restriction in SQ* 6. Examples 7. Explanatory remarks about UG* 8. Replacement of starred rules by unstarred rules: EI, EG, UI, UG) 3. (1. List of rules 2. Interpretation of the rules 3. Principles of single quantification; deductions 4. Multiple quantification; introduction 5. Expressing multiply general statements in quantificational form 6. Principles of multiple quantification; deductions 7. Identity 8. Definite descriptions; the iota operator) 4. (1. Reformulated definitions of validity; proof of invalidity 2. Quantifier-free equivalents 3. Testing QFE’s for falsifiability 4. Predicate and subject 5. Special considerations relating to identity 6. Examples of invalidity proofs 7. Decision problems)
£35.76
Taylor & Francis The Elements of Formal Logic Routledge Library Editions Logic
Book SynopsisOriginally published in 1965. This is a textbook of modern deductive logic, designed for beginners but leading further into the heart of the subject than most other books of the kind. The fields covered are the Propositional Calculus, the more elementary parts of the Predicate Calculus, and Syllogistic Logic treated from a modern point of view. In each of the systems discussed the main emphases are on Decision Procedures and Axiomatisation, and the material is presented with as much formal rigour as is compatible with clarity of exposition. The techniques used are not only described but given a theoretical justification. Proofs of Consistency, Completeness and Independence are set out in detail. The fundamental characteristics of the various systems studies, and their relations to each other are established by meta-logical proofs, which are used freely in all sections of the book. Exercises are appended to most of the chapters, and answers are provided.Table of ContentsPreface 1. Validity Part 1: The Propositional Calculus: Elements and Decision Procedures 2. Some Simple Forms of Inference 3. Establishing Validity (Theory) 4. Establishing Validity (Practice) 5. Disjunction and Disjunctive Inference 6. Material Equivalence: ‘If and Only If‘ 7. Valid Inference and Proof 8. The Propositional Calculus 9. Truth-tables as a Decision Procedure 10. Equivalence Transformations 11. Another Decision Procedure Part 2: The Propositional Calculus: Axiomatic Systems 12. Operations of Inference 13. Axiomatic Systems 14. Formal Axiomatic Systems 15. The System PM (I) 16. PM (II) Substitution of Equivalents 17. PM (III) Some Further Theorems 18. PM (IV) Independence and Non-independence 19. Consistency and Completeness of PM 20. The System TB 21. Extensions of TB: The System W 22. Consistency and Completeness of W 23. The Elements of Formal Logic Part 3: The Lower Predicate Calculus Some General Remarks on Part 3 23. The Lower Predicate Calculus: Introduction 24. The System LPCl 25. LPCl: Decision Procedure I - The Truth-table Method 26. Universes of Discourse - Justification of Decision Procedure 27. LPCI : Decision Procedure II - Exposition 28. LPCI : Decision Procedure II - Justification 29. LPCl: Axiomatization 30. LPCl : Consistency and Completeness 31. The System LPC2: Introductory 32. LPC2: Decision Procedure I 33. LPC2: Decision Procedure II - Exposition 34. LPC2: Decision Procedure II - Justification 35. LPC2: Axiomatization 36. LPC2 and the Logic of an Empty Universe 37. Multiple Quantification I 38. Equivalence Transformations of Quantifiers 39. Multiple Quantification II 40. Multiple Quantification III 41. The Lower Predicate Calculus: Conclusion Part 4: Syllogistic Introductory Note 42. Résumé of Traditional Syllogistic Logic 43. Syllogistic and the Predicate Calculus 44. Syllogistic Moods under Interpretation 1: The Antilogism Theorem 45. Syllogistic and LPC1: Further Interpretations 46. Syllogistic and LPC1: Another Approach 47. The Validity of Syllogisms Reconsidered: An Extension of the Antilogism Theorem 48. Syllogistic: An Axiomatic Presentation 49. On the Meta-Iogic of AS. Appendices
£33.99
Taylor & Francis TruthFunctional Logic
Book SynopsisOriginally published in 1962. This book gives an account of the concepts and methods of a basic part of logic. In chapter I elementary ideas, including those of truth-functional argument and truth-functional validity, are explained. Chapter II begins with a more comprehensive account of truth-functionality; the leading characteristics of the most important monadic and dyadic truth-functions are described, and the different notations in use are set forth. The main part of the book describes and explains three different methods of testing truth-functional aguments and agument forms for validity: the truthtable method, the deductive method and the method of normal forms; for the benefit mainly of readers who have not acquired in one way or another a general facility in the manipulation of symbols some of the procedures have been described in rather more detail than is common in texts of this kind. In the final chapter the author discusses and rejects the view, based largely on the so cTable of Contents1. Introduction 2. Truth-functions 3. The Truth-Table Method 4. The Deductive Method 5. Part I: Normal Forms; Part II: Applicability and Limitations of Truth-Functional Logic
£35.76
Taylor & Francis The Development of Mathematical Logic Routledge Library Editions Logic
Book SynopsisOriginally published in 1962. A clear and simple account of the growth and structure of Mathematical Logic, no earlier knowledge of logic being required. After outlining the four lines of thought that have been its roots - the logic of Aristotle, the idea of all the parts of mathematics as systems to be designed on the same sort of plan as that used by Euclid and his Elements, and the discoveries in algebra and geometry in 1800-1860 - the book goes on to give some of the main ideas and theories of the chief writers on Mathematical Logic: De Morgan, Boole, Jevons, Pierce, Frege, Peano, Whitehead, Russell, Post, Hilbert and Goebel. Written to assist readers who require a general picture of current logic, it will also be a guide for those who will later be going more deeply into the expert details of this field. Table of Contents1. Purpose and Language of the Book 2. Aristotle’s Syllogistic 3. The Idea of a Complete, Automatic Language for Reasoning 4. Changes in Algebra and Geometry, 1825-1900 5. Consistency and Metamathematics 6. Boole’s Algebra of Logic 7. The Algebra of Logic after Boole: Jevons, Peirce and Schroeder 8. Frege’s Logic 9. Cantor’s Arithmetic of Classes 10. Peano’s Logic 11. Whitehead and Russell’s ‘Principia Mathematica’ 12. Mathematical Logic after ‘Principia Mathematica’: Hilbert’s Metamathematics
£31.99
Taylor & Francis Elementary Formal Logic A Programmed Course Routledge Library Editions Logic
Book SynopsisOriginally published in 1966. This is a self-instructional course intended for first-year university students who have not had previous acquaintance with Logic. The book deals with propositional logic by the truth-table method, briefly introducing axiomatic procedures, and proceeds to the theory of the syllogism, the logic of one-place predicates, and elementary parts of the logic of many-place predicates. Revision material is provided covering the main parts of the course. The course represents from eight to twenty hours work. depending on the student's speed of work and on whether optional chapters are taken.Table of ContentsIntroduction Part 1: Logical Relations 1. Statements and Logical Strictness 2. Implication and Equivalence 3. Contradiction and Contrariety 4. Subcontrariety and Indifference 5. Ambiguity and Empty Terms Part 2: The Logic of Unanalysed Statements 6. Negation and Conjunction 7. Disjunction 8. Implication and Truth-Tables 9. Tautologies and Material Implication 10. Material Equivalence: Rules of Inference 11. Logic from Axioms 12. Logical Relations by Truth-Table Part 3: The Logic of Predicates 13. Syllogisms 14. Existential Presuppositions 15. Predicates and Quantifiers 16. The Elementary Logic of Relations. Revision Chapters
£35.76
Taylor & Francis Ltd The Equation of Knowledge
Book SynopsisThis book introduces readers to the Bayesian approach to science: teasing out the link between probability and knowledge. The author strives to make this book accessible to a very broad audience, suitable for professionals, students, and academics, as well as the enthusiastic amateur scientist/mathematician. . Trade ReviewLê Nguyên Hoang takes us on a fascinating intellectual journey into Bayesianism, cutting across many social and natural sciences. The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science is a real page turner.—George Zaccour, HEC Montréal and co-author of Handbook of Dynamic Game Theory"Each chapter is opened with a fascinating epigraph quoting famous persons, and is completed by the most recent references. There are multiple illustrations, and the Bayes’ formulae are many times presented via various funny symbols of emoji kind. The book is addressed to a wide audience of students, professionals, and actually any reader interested to be better acquainted with modern ideas in various sciences and philosophy of science, and their Bayesian statistical description and interpretation."— Stan Lipovetsky, Technometrics (Volume 63, 2021 - Issue 1)"[. . . ] Trained in the hard school of online videos, Le Nguyen Hoang has found a new tone to talk about science, a tone that is both rigorous and narrative, where examples illuminate the most abstract questions."— From the Foreword by Gilles Dowek, Professor at École Polytechnique and researcher at the Laboratoire d'Informatique de l'École Polytechnique and the Institut National de Recherche en Informatique et en Automatique (INRIA).Lê Nguyên Hoang takes us on a fascinating intellectual journey into Bayesianism, cutting across many social and natural sciences. The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science is a real page turner.— George Zaccour, HEC Montréal and co-author of Handbook of Dynamic Game Theory"Making math accessible to everyone, showing its connections with dozens of different domains, narrating scientific discovery as a personal human adventure, and sharing impressive enthusiasm: there is definitely something of Greg Chaitin's Meta Math! in Lê Nguyên Hoang's book!" — Rémi Peyre, École des Mines de Nancy"A remarkable piece of work, broad and insightful at the same time. This book is unique in that it gives an accessible journey from subtle probabilistic puzzles to the most advanced concepts at the heart of the machine learning revolution; with unrivalled clarity, it exposes deep ideas that have remained very confidential outside of specialized circles, and that yet are becoming fundamental in the way we understand our world."— Clément Hongler, Associate Professor and Chair of Statistical Field Theory, EPFL "As someone who practices research and publishes academic papers, it is frustrating to note how little we, scientists, are trained in epistemology. ‘How do we know that we know?’ This question is often neglected or taken for granted. The recent controversies about reproducibility of scientific publishing might be one of the tips of a larger iceberg. This book will, in my opinion, be remembered as one of those that helped melt the iceberg." — El Mahdi El Mhamdi, École Polytechnique Fédérale de Lausanne."The book has a lively writing style, rather like you are listening to an inspiring lecturer. Indeed the author has a French YouTube channel and is clearly enthusiastic about exposition. It is overtly an account of what the author personally finds interesting. [. . .] In teaching a basic college course, focused on the mathematical setup and on the analysis of data, I often find there is one student who comes to office hours and is interested in seeing connections with broad scientific fields, or in conceptual issues of the philosophy of science. I could certainly recommend this book to such a student. Similarly, for the MAA community it could be an innovative basis for an undergraduate seminar course, in which students would choose a topic from the book and delve deeper into it."— David Aldous, Mathematical Association of AmericaTable of ContentsSction I. Pure Bayesianism. 1. On A Transformative Journey. 2. Bayes Theorem. 3. Logically Speaking... 4. Let’s Generalize! 5. All Hail Prejudices. 6. The Bayesian Prophets. 7. Solomonoff’s Demon. Section II. Applied Bayesianism. 8. Can You Keep A Secret? 9. Game, Set and Math. 10. Will Darwin Select Bayes? 11. Exponentially Counter-Intuitive. 12. Ockham Cuts to the Chase. 13. Facts Are Misleading. Section III. Pragmatic Bayesianism. 14. Quick And Not Too Dirty. 15. Wish Me Luck. 16. Down Memory Lane. 17. Let’s Sleep On It. 18. The Unreasonable Effectiveness of Abstraction. 19. The Bayesian Brain. Section IV. Beyond Bayesianism. 20. It’s All Fiction. 21. Exploring The Origins Of Beliefs. 22. Beyond Bayesianism.
£54.99
CRC Press Cybersecurity
Book SynopsisIn today's hyperconnected world, digital threats lurk in every corner of cyberspace. This comprehensive guide equips you with essential knowledge to identify, mitigate and counter cyber threats, navigating the increasingly dangerous digital landscape.From cryptographic foundations to advanced persistent threats, you'll master the core concepts that transform novices into digital defenders. Each chapter tackles critical security domains, including online tracking defenses, ransomware identification, social engineering countermeasures, and OSINT techniques used by both defenders and attackers. Discover how to: Implement multi-layered protection against sophisticated malware Recognize and respond to psychological manipulation tactics Navigate the concealed territories of the Deep and Dark Web safely Deploy enterprise-grade network security architectures Leverage AI-driven threat detection to stay ahead of attackers. Whether you're securing personal devices against tracking, protecting enterprise networks from nation-state actors, or building comprehensive defense strategies, this book is for working professionals, computing specialists, and IT enthusiasts, providing you with practical, actionable knowledge for today's security challenges.Key Features: Bridges theoretical cybersecurity concepts with practical defense strategies Provides actionable knowledge on emerging threats Uses accessible language for both beginners and experienced practitioners Equips readers with a comprehensive understanding of the entire threat landscape Addresses both human and system vulnerabilities Delivers insider perspective on threats and countermeasures Incorporates cutting-edge security approaches that prepare readers for the next generation of cybersecurity challenges
£47.49
Taylor & Francis Ltd Multimedia Encryption and Authentication Techniques and Applications
Book SynopsisIntellectual property owners must continually exploit new ways of reproducing, distributing, and marketing their products. However, the threat of piracy looms as a major problem with digital distribution and storage technologies. Multimedia Encryption and Authentication Techniques and Applications covers current and future trends in the design of modern systems that use encryption and authentication to protect multimedia content. Containing the works of contributing authors who are worldwide experts in their fields, this volume is intended for researchers and practitioners, as well as for those who want a broad understanding of multimedia security. In the wake of the explosive growth of digital entertainment and Internet applications, this book is a definitive resource for scientists, researchers, programmers, engineers, business managers, entrepreneurs, and investors.FeaturesDescribes and evaluates the state of the art in multimedia encryption and authenticatioTable of ContentsProtection of Multimedia Content in Distribution Networks. Vulnerabilities of Multimedia Protection Schemes. Fundamentals of Multimedia Encryption Techniques. Chaos-Based Encryption for Digital Image and Video. Key Management and Protection for IP Multimedia. Streaming Media Encryption. Digital Media Fingerprinting: Techniques and Trends. Scalable Image and Video Authentication. Signature-Based Media Authentication. Digital Rights Management for Consumer Devices 311. Adult Image Filtering for Internet Safety. Digital Rights Management Issues for Video.
£56.99
Taylor & Francis Ltd Multimedia Watermarking Techniques and Applications Internet and Communications
Book SynopsisIntellectual property owners must continually exploit new ways of reproducing, distributing, and marketing their products. However, the threat of piracy looms as a major problem with digital distribution and storage technologies. Multimedia Watermarking Techniques and Applications covers all current and future trends in the design of modern systems that use watermarking to protect multimedia content. Containing the works of contributing authors who are worldwide experts in the field, this volume is intended for researchers and practitioners, as well as for those who want a broad understanding of multimedia security. In the wake of the explosive growth of digital entertainment and Internet applications, this book is the definitive resource on the subject for scientists, researchers, programmers, engineers, business managers, entrepreneurs, and investors.Table of ContentsProtection of Multimedia Content in Distribution Networks. Vulnerability of Multimedia Protection Schemes. Survey of Multimedia Watermarking Techniques. Robust Identification of Audio Using Watermarking and Fingerprinting. High Capacity Real-Time Audio Watermarking With Perfect Correlation Sequence and Repeated Insertion. Multidimensional Watermark for Still Image: Parallel Embedding and Detection. Image Watermarking Method Resistant to Geometric Distortions. Fragile Watermarking for Image Authentication. New Trends and Challenges in Digital Watermark Technologies: Applications for Printed Materials. Robust Watermark Detection from Quantized MPEG Video Data. Image Watermarking Robust to Both Geometric Distortion and JPEG Compression. Reversible Watermarks Using a Difference Expansion. Combined Indexing and Watermarking of 3D Models Using the Generalized 3D Radon Transforms. Digital Watermarking Framework: Applications, Parameters, and Requirements.
£56.99
Taylor & Francis Logic Works
Book SynopsisLogic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems.Online support material includes a detailed student solutioTrade Review"Logic Works is a thorough treatment of core topics in elementary logic, and of several topics in intermediate logic. Its precision and rigor is a step above typical presentations of this material. It will be an invaluable resource for teachers, as well as for students of logic who want to go beyond the basics."Fabrizio Cariani, University of MarylandTable of Contents1. Introduction to the study of logic 2. Vocabulary and syntax 3. Semantics 4. Formalization 5. Working with SL semantics A-1. Advanced topics concerning SL semantics 6. Derivations A-2. Advanced topics concerning the soundness and completeness of Ds 7. Reduction Trees A-3: Advanced topics concerning the soundness and completeness of Ts 8. Vocabulary, syntax, formalization and derivations 9. Semantics and Trees for Modal and Intuitionistic Sentential Logic A-4: Advanced Topics concerning the "soundness" and "completeness" of Dm and Tm 10. Vocabulary, syntax, formalization, and derivations 11. Semantics and trees A-5: Advanced topics for PSL 12. Vocabulary, syntax, and formalization 13. Derivations 14. Trees and tree model semantics for QPL 15. Semantics for QPL without mixed multiple quantification 16. Semantics for QPL with mixed multiple quantification A-6: Advanced topics for QPL 17. Higher order logic Rule summaries
£135.00
Taylor & Francis Logic Works
Book SynopsisLogic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems.Online support material includes a detailed student solutioTrade Review"Logic Works is a thorough treatment of core topics in elementary logic, and of several topics in intermediate logic. Its precision and rigor is a step above typical presentations of this material. It will be an invaluable resource for teachers, as well as for students of logic who want to go beyond the basics."Fabrizio Cariani, University of MarylandTable of Contents1. Introduction to the study of logic 2. Vocabulary and syntax 3. Semantics 4. Formalization 5. Working with SL semantics A-1. Advanced topics concerning SL semantics 6. Derivations A-2. Advanced topics concerning the soundness and completeness of Ds 7. Reduction Trees A-3: Advanced topics concerning the soundness and completeness of Ts 8. Vocabulary, syntax, formalization and derivations 9. Semantics and Trees for Modal and Intuitionistic Sentential Logic A-4: Advanced Topics concerning the "soundness" and "completeness" of Dm and Tm 10. Vocabulary, syntax, formalization, and derivations 11. Semantics and trees A-5: Advanced topics for PSL 12. Vocabulary, syntax, and formalization 13. Derivations 14. Trees and tree model semantics for QPL 15. Semantics for QPL without mixed multiple quantification 16. Semantics for QPL with mixed multiple quantification A-6: Advanced topics for QPL 17. Higher order logic Rule summaries
£49.99
Taylor & Francis Ltd Architecture of Mathematics
Book SynopsisArchitecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications. It describes the many interweaving relationships between different areas of mathematics and its practical applications, and as such provides unique reading for professional mathematicians and nonmathematicians alike. This book can be a very important resource both for the teaching of mathematics and as a means to outline the research links between different subjects within and beyond the subject.Features All notions and properties are introduced logically and sequentially, to help the reader gradually build understanding. Focusses on illustrative examples that explain the meaning of mathematical objects and their properties. Suitable as a supplementary resource for teaching undergraduate mathematics, and as an aid to interdisciplinary research. ForminTrade Review "The author, a talented and broadly erudite mathematician presents an interesting view on the "building" of Mathematics. This book does not require a deep mathematical knowledge. He makes many fundamental mathematical concepts and their interrelations very easy to understand. Students, teachers, professional mathematicians, applied scientists using mathematical models in their research and everyone interested in mathematics can enjoy this book and can benefit from it." – Valerij Romanovskij, Univerza v Mariboru Table of Contents 1. Language. 2. Sets. 3. Numbers. 4. Objects. 5. Composites. 6. Synthesis. Index
£45.99
Taylor & Francis Ltd Mechanizing Hypothesis Formation
Book SynopsisMechanizing hypothesis formation is an approach to exploratory data analysis. Its development started in the 1960s inspired by the question can computers formulate and verify scientific hypotheses?. The development resulted in a general theory of logic of discovery. It comprises theoretical calculi dealing with theoretical statements as well as observational calculi dealing with observational statements concerning finite results of observation. Both calculi are related through statistical hypotheses tests. A GUHA method is a tool of the logic of discovery. It uses a one-to-one relation between theoretical and observational statements to get all interesting theoretical statements. A GUHA procedure generates all interesting observational statements and verifies them in a given observational data. Output of the procedure consists of all observational statements true in the given data. Several GUHA procedures dealing with association rules, couples of association rules, actionTable of Contents1. Introduction 2. Data Sets SECTION I: THE GUHA PROCEDURES 3. Principle and Simple Examples 4. Common Features 5. LISp-Miner System SECTION II: APPLYING THE GUHA PROCEDURES 6. Examples Overview 7. 4ft-Miner – GUHA Association Rules 8. CF-Miner – Histograms 9. KL-Miner – Pairs of Categorical Attributes 10. SD-4ft-Miner – Couples of GUHA Association Rules 11. SDCF-Miner – Couples of Histograms 12. SDKL-Miner – Couples of Pairs of Categorical Attributes 13. Ac4ft-Miner – Action Rules 14. GUHA Procedures and Business Intelligence 15. CleverMiner – GUHA and Python SECTION III: RELATED RESEARCH AND THEORY 16. Artificial Data Generation and LM ReverseMiner Module 17. Applying Domain Knowledge 18. Observational Calculi
£150.00
Taylor & Francis Ltd PCI Compliance
Book SynopsisThe Payment Card Industry Data Security Standard (PCI DSS) is now in its 18th year, and it is continuing to dominate corporate security budgets and resources. If you accept, process, transmit, or store payment card data branded by Visa, MasterCard, American Express, Discover, or JCB (or their affiliates and partners), you must comply with this lengthy standard.Personal data theft is at the top of the list of likely cybercrimes that modern-day corporations must defend against. In particular, credit or debit card data is preferred by cybercriminals as they can find ways to monetize it quickly from anywhere in the world. Is your payment processing secure and compliant? The new Fifth Edition of PCI Compliance has been revised to follow the new PCI DSS version 4.0, which is a complete overhaul to the standard. Also new to the Fifth Edition are: additional case studies and clear guidelines and instructions for maintaining PCI compliance globally, including coverage of technoTable of ContentsForeword. Acknowledgments. Authors. Chapter 1 About PCI DSS and This Book. Chapter 2 Introduction to Fraud, Identity Theft, and Related Regulatory Mandates. Chapter 3 Why Is PCI Here? Chapter 4 Determining and Reducing Your PCI Scope. Chapter 5 Building and Maintaining a Secure Network. Chapter 6 Strong Access Controls. Chapter 7 Protecting Cardholder Data. Chapter 8 Using Wireless Networking. Chapter 9 Vulnerability Management. Chapter 10 Logging Events and Monitoring the Cardholder Data Environment. Chapter 11 Cloud and Virtualization. Chapter 12 Mobile. Chapter 13 PCI for the Small Business. Chapter 14 PCI DSS for the Service Provider. Chapter 15 Managing a PCI DSS Project to Achieve Compliance. Chapter 16 Don’t Fear the Assessor. Chapter 17 The Art of Compensating Control. Chapter 18 You’re Compliant, Now What? Chapter 19 Emerging Technology and Alternative Payment Schemes. Chapter 20 PCI DSS Myths and Misconceptions. Chapter 21 Final Thoughts. Index by Requirement. Alphabetical Index.
£99.99
Taylor & Francis Ltd Blockchain for Information Security and Privacy
Book SynopsisDistributed and peer-to-peer (P2P) applications are increasing daily, and cyberattacks are constantly adopting new mechanisms to threaten the security and privacy of users in these Internet of Things (IoT) environments. Blockchain, a decentralized cryptographic-based technology, is a promising element for IoT security in manufacturing, finance, healthcare, supply chain, identity management, e-governance, defence, education, banking, and trading. Blockchain has the potential to secure IoT through repetition, changeless capacity, and encryption.Blockchain for Information Security and Privacy provides essential knowledge of blockchain usage in the mainstream areas of security, trust, and privacy in decentralized domains. This book is a source of technical information regarding blockchain-oriented software and applications. It provides tools to researchers and developers in both computing and software engineering to develop solutions and automated systems that can pTable of Contents1. Blockchain Impact in Education and Society 2. Apply and Analyse Several Blockchain Techniques in IoT and Big Data Sector 3. Blockchain: Trends, Role and Future Prospects 4. Cybersecurity and Privacy Issues of Blockchain Technology 5. Robust Digital Medical Image Watermarking and Encryption Algorithms Using Blockchain over DWT Edge Coefficient 6. Enhanced Privacy and Security of Voters’ Identity in Interplanetary File System Based E-Voting Process 7. Blockchain-Enabled Secure Internet of Vehicles: A Solution Taxonomy, Architecture, and Future Directions 8. Blockchain-Based Federated Cloud Environment: Issues and Challenges 9. Blockchain-Based Secured Data Management in Confidential Cyber Defence Applications 10. Blockchain Technology for Privacy and Security Issues and Challenges in IoT-Based Systems 11. A Secure Online Voting System Using Blockchain 12. Secure Electronic Health Records (EHR) Management Using Blockchain 13. Blockchain Impact of Security and Privacy in Digital Identity Management 14. A New Ecosystem for Digital Identity Verification Using Blockchain 15. Blockchain-Based Security and Privacy for Smart Contracts 16. Blockchain Application in Digital Identity Management in Election 17. Leveraging Blockchain Technology for Decentralized Domain Name Broker Service 18. Using Blockchain for Digital Copyrights Management
£99.99
Taylor & Francis Ltd Security without Obscurity
Book SynopsisInformation security has a major gap when cryptography is implemented. Cryptographic algorithms are well defined, key management schemes are well known, but the actual deployment is typically overlooked, ignored, or unknown. Cryptography is everywhere. Application and network architectures are typically well-documented but the cryptographic architecture is missing. This book provides a guide to discovering, documenting, and validating cryptographic architectures. Each chapter builds on the next to present information in a sequential process. This approach not only presents the material in a structured manner, it also serves as an ongoing reference guide for future use. Table of ContentsIntroduction. Cryptography Basics. Cryptographic Keys. Authentication Protocols. Security Protocols. Architectures. Risk Management. Security Assessments. Illustrations.
£42.99
Taylor & Francis Ltd Essential Enterprise Blockchain Concepts and Applications
Book SynopsisBlockchain is a technology that has attracted the attention of all types of businesses. Cryptocurrency such as Bitcoin has gained the most attention, but now companies are applying Blockchain technology to develop solutions improving traditional applications and securing all types of transactions. Robust and innovative, this technology is being combined with other well-known technologies including Cloud Computing, Big Data, and IoT to revolutionize outcomes in all verticals.Unlike books focused on financial applications, Essential Enterprise Blockchain Concepts and Applications is for researchers and practitioners who are looking for secure, viable, low-cost, and workable applications to solve a broad range of business problems. The book presents research that rethinks how to incorporate Blockchain with existing technology. Chapters cover various applications based on Blockchain technology including: Digital voting Smart contracts Supply chaTable of ContentsChapter 1. Blockchain Foundation. Chapter 2. Distributed Consensus Protocols and Algorithms. Chapter 3. Performances of Blockchain. Chapter 4. Blockchain Smart Contract. Chapter 5. Blockchain in Supply Chain Management. Chapter 6. Securing the Internet of Things Using Blockchain. Chapter 7. Blockchain Identity Management. Chapter 8. Next Generation Logistics: A Novel Approach of Blockchain Technology. Chapter 9. A Blockchain Technology for Asset Management in Multinational Operations. Chapter 10. Cloud Based Blockchain for the Measurement of Alleviation in Debacle Period. Chapter 11. Blockchain Versus IoT Architectural Styles. Chapter 12. The Role of Blockchain for Medical Electronics Security.
£42.74
Springer 18 Unconventional Essays on the Nature of Mathematics
Book SynopsisIncludes writings that tackle the problem of giving an account of the nature, purpose, and justification of mathematics as actually done by real live mathematicians. This book is suitable for mathematics philosophers as well as for mathematics educators interested in changing dominant conceptions of what is mathematics.Trade ReviewFrom the reviews: "This is not a book about foundations or formal logic. It is … about the philosophy of mathematics, but perhaps more about the human practice of mathematics. … This is a terrific collection of essays. … all of the essays give us new insight into that curious thing we do when we do mathematics." (William J. Satzer, MathDL, January, 2006) "The current book is destined to become a classic as well for numerous reasons which will soon become transparent. … Reuben Hersh is to be commended for orchestrating this masterful collection of essays from distinguished individuals … . I predict that this book will become a classic for the coming generations of mathematics philosophers as well as for mathematics educators interested in changing dominant conceptions of what is mathematics, finally!" (Bharath Sriraman, Zentralblatt für Didaktik der Mathematik, Vol. 38 (4), 2006) "Editor Reuben Hersh has orchestrated a highly provocative book, particularly for mathematicians, but also for anyone interested in the philosophy and practice of mathematics. … This is a very appealing collection of essays. … I highly recommend this book to those wondering how math is carried out, both mathematicians and laymen. I also recommend it to educators interested in changing the dominant view of math and how to do math." (Hector Zenil, Computing Reviews, January, 2008)Table of ContentsIntroduction by Reuben Hersh.- A. Renyi: Socratic Dialogue.- C. Cellucci: Filosofia e Matematica, introduction.- W. Thurston: On Proof and Progress in Mathematics.- A. Aberdein: The Informal Logic of Mathematical Proof.- Y. Rav: Philosophical Problems of Mathematics in Light of Evolutionary Epistemology.- B. Rotman: Towards a Semiotics of Mathematics.- D. Mackenzie: Computers and the Sociology of Mathematical Proof.- T. Stanway: From G.H.H. and Littlewood to XML and Maple: Changing Needs and Expectations in Mathematical Knowledge Management.- R. Nunez: Do Numbers Really Move?.- T. Gowers: Does Mathematics Need a Philosophy?.- J. Azzouni: How and Why Mathematics is a Social Practice.- G.C. Rota: The Pernicious Influence of Mathematics Upon Philosophy.- J. Schwartz: The Pernicious Influence of Mathematics on Science.- Alfonso Avila del Palacio: What is Philosophy of Mathematics Looking For?.- A. Pickering: Concepts and the Mangle of Practice: Constructing Quaternions.- E. Glas: Mathematics as Objective Knowledge and as Human Practice.- L. White: The Locus of Mathematical Reality: An Anthropological Footnote.- R. Hersh: Inner Vision, Outer Truth.
£999.99
Springer Notes on Set Theory
Book SynopsisEquinumerosity.- Paradoxes and Axioms.- Are Sets All There is?.- The Natural Numbers.- Fixed Points.- Well Ordered Sets.- Choices.- Choice's Consequences.- Baire Space.- Replacement and Other Axioms.- Ordinal Numbers.Trade ReviewAbout the First Edition: This is a sophisticated undergraduate set theory text, brimming with mathematics, and packed with elegant proofs, historical explanations, and enlightening exercises, all presented at just the right level for a first course in set theory.- Joel David Hamkins, Journal of Symbolic Logic This is an excellent introduction to axiomatic set theory, viewed both as a foundation of mathematics and as a branch of mathematics with its own subject matter, basic results, open problems. - Achille C. Varzi, History and Philosophy of LogicTable of ContentsIntroduction * Equinumerosity * Paradoxes and axioms * Are sets all there is? * The natural numbers * Fixed points * Well ordered sets * Choices * Choice’s consequences * Baire space * Replacement and other axioms * Ordinal numbers * A. The real numbers * B. Axioms and universes * Index
£999.99
Springer Notes on Set Theory
Book SynopsisEquinumerosity.- Paradoxes and Axioms.- Are Sets All There is?.- The Natural Numbers.- Fixed Points.- Well Ordered Sets.- Choices.- Choice's Consequences.- Baire Space.- Replacement and Other Axioms.- Ordinal Numbers.Trade ReviewAbout the First Edition: This is a sophisticated undergraduate set theory text, brimming with mathematics, and packed with elegant proofs, historical explanations, and enlightening exercises, all presented at just the right level for a first course in set theory.- Joel David Hamkins, Journal of Symbolic Logic This is an excellent introduction to axiomatic set theory, viewed both as a foundation of mathematics and as a branch of mathematics with its own subject matter, basic results, open problems. - Achille C. Varzi, History and Philosophy of LogicTable of ContentsIntroduction * Equinumerosity * Paradoxes and axioms * Are sets all there is? * The natural numbers * Fixed points * Well ordered sets * Choices * Choice’s consequences * Baire space * Replacement and other axioms * Ordinal numbers * A. The real numbers * B. Axioms and universes * Index
£999.99
Springer Techniques of Constructive Analysis
Book SynopsisThe text covers fundamental theory of the real line and metric spaces, focusing on locatedness in normed spaces and with associated results about operators and their adjoints on a Hilbert space.Trade ReviewFrom the reviews: "Constructive mathematics is often mistakenly thought to be a branch of formal logic, or to involve recursive function theory. The recent Bridges-Vîta textbook is an exemplar of perseverance in efforts to correct this situation. For students at the graduate level it is an excellent introduction to constructive mathematics: for the more experienced reader it is a portal to some of the latest research using constructive methods." (Mark Mandelkern, Zentralblatt MATH, Vol. 1107 (9), 2007) "Bridges and Vita (both, Univ. of Canterbury, New Zealand) offer a book, written jointly by an associate (Bridges) of the famous Errett Bishop … . Thorough index; plentiful exercises and references. Eminently suitable. Summing Up: Recommended. Upper-division undergraduates through faculty." (F. E. J. Linton, CHOICE, Vol. 44 (11), August, 2007) "The authors have written a valuable introduction to constructive analysis, devoting the larger part of their space and efforts to subjects from constructive functional analysis, a field to which they have made important contributions themselves. … Without a doubt, this well-written book shows constructive analysis to be a serious and important subject. The authors, who have thought on their subject long and deeply, deserve our thanks." (Wim Veldman, Mathematical Reviews, Issue 2008 a)Table of Contentsto Constructive Mathematics.- Techniques of Elementary Analysis.- The ?-Technique.- Finite-Dimensional and Hilbert Spaces.- Linearity and Convexity.- Operators and Locatedness.
£999.99
Springer Introduction to Boolean Algebras
Book SynopsisBoolean Rings.- Boolean Algebras.- Boolean Algebras Versus Rings.- The Principle of Duality.- Fields of Sets.- Elementary Relations.- Order.- Infinite Operations.- Topology.- Regular Open Sets.- Subalgebras.- Homomorphisms.- Extensions of Homomorphisms.- Atoms.- Finite Boolean Algebras.- Atomless Boolean Algebras.- Congruences and Quotients.- Ideals and Filters.- Lattices of Ideals.- Maximal Ideals.- Homomorphism and Isomorphism Theorems.- The Representation Theorem.- Canonical Extensions.- Complete Homomorphisms and Complete Ideals.- Completions.- Products of Algebras.- Isomorphisms of Factors.- Free Algebras.- Boolean s-algebras.- The Countable Chain Condition.- Measure Algebras.- Boolean Spaces.- Continuous Functions.- Boolean Algebras and Boolean Spaces.- Duality for Ideals.- Duality for Homomorphisms.- Duality for Subalgebras.- Duality for Completeness.- Boolean s-spaces.- The Representation of s-algebras.- Boolean Measure Spaces.- Incomplete Algebras.- Duality for Products.- SumsTrade ReviewFrom the reviews:“This is an excellent and much-needed comprehensive undergraduate textbook on Boolean algebras. It contains a complete and thorough introduction to the fundamental theory of Boolean algebras. Aimed at undergraduate mathematics students, the book is, in the first author’s words, “a substantially revised version of Paul Halmos’ “Lectures on Boolean Algebras.” It certainly achieves its stated goal of “steering a middle course between the elementary arithmetic aspects of the subject” and “the deeper mathematical aspects of the theory” of Boolean algebras.”…“The book is written for undergraduate students who already have skills in proving theorems. However, since the proofs are so detailed and clear, it could work well as a text for a second or even first course involving substantial proofs. For this reason, it would also make a great book for a student doing independent study. The text is somewhat informal in the sense that sometimes proofs appear in the prose rather than under the heading, “Proof”, but it is always clear when this is being done. Though the book starts with an introduction to Boolean rings, knowledge of group theory or rings is not a prerequisite for using the book.”… “In summary, “Introduction to Boolean algebras” is a gem of a text which fills a long-standing gap in the undergraduate literature. It combines the best of both worlds by rigorously covering all the fundamental theorems and topics of Boolean algebra while at the same time being easy to read, detailed, and well-paced for undergraduate students. It is my most highly recommended text for undergraduates studying Boolean algebras.”(Natasha Dobrinen. The Bulletin of Symbolic Logic, Vol. 16 (2), June 2010: 281-282)"Introduction to Boolean Algebras … is intended for advanced undergraduates. Givant (Mills College) and Halmos … using clear and precise prose, build the abstract theory of Boolean rings and algebras from scratch. … the necessary topological material is developed within the book and an appendix on set theory is included. … Includes an extensive bibliography and more than 800 exercises at all levels of difficulty. Summing Up: Highly recommended. Upper-division undergraduates, graduate students, researchers, and faculty." (S. J. Colley, Choice, Vol. 46 (10), June 2009)“The authors have written a book for advanced undergraduates and beginning graduate students. … The authors start with the definition of Boolean rings and Boolean algebras, give examples and basic facts and compare both notions. … There are a large number of exercises of varying level of difficulty. Hints for the solutions of the harder problems are given in an appendix. A detailed solutions manual for all exercises is available for instructors. The book can serve as a basis for a variety of courses.” (Martin Weese, Zentralblatt MATH, Vol. 1168, 2009)Table of ContentsBoolean Rings.- Boolean Algebras.- Boolean Algebras Versus Rings.- The Principle of Duality.- Fields of Sets.- Elementary Relations.- Order.- Infinite Operations.- Topology.- Regular Open Sets.- Subalgebras.- Homomorphisms.- Extensions of Homomorphisms.- Atoms.- Finite Boolean Algebras.- Atomless Boolean Algebras.- Congruences and Quotients.- Ideals and Filters.- Lattices of Ideals.- Maximal Ideals.- Homomorphism and Isomorphism Theorems.- The Representation Theorem.- Canonical Extensions.- Complete Homomorphisms and Complete Ideals.- Completions.- Products of Algebras.- Isomorphisms of Factors.- Free Algebras.- Boolean s-algebras.- The Countable Chain Condition.- Measure Algebras.- Boolean Spaces.- Continuous Functions.- Boolean Algebras and Boolean Spaces.- Duality for Ideals.- Duality for Homomorphisms.- Duality for Subalgebras.- Duality for Completeness.- Boolean s-spaces.- The Representation of s-algebras.- Boolean Measure Spaces.- Incomplete Algebras.- Duality for Products.- Sums of Algebras.- Isomorphisms of Countable Factors.
£999.99
Springer Lectures on Boolean Algebras
Book Synopsis1 Boolean rings.- 2 Boolean algebras.- 3 Fields of sets.- 4 Regular open sets.- 5 Elementary relations.- 6 Order.- 7 Infinite operations.- 8 Subalgebras.- 9 Homomorphisms.- 10 Free algebras.- 11 Ideals and filters.- 12 The homomorphism theorem.- 13 Boolean ?-algebras.- 14 The countable chain condition.- 15 Measure algebras.- 16 Atoms.- 17 Boolean spaces.- 18 The representation theorem.- 19 Duality for ideals.- 20 Duality for homomorphisms.- 21 Completion.- 22 Boolean ?-spaces.- 23 The representation of ?-algebras.- 24 Boolean measure spaces.- 25 Incomplete algebras.- 26 Products of algebras.- 27 Sums of algebras.- 28 Isomorphisms of factors.- 29 Isomorphisms of countable factors.- 30 Retracts.- 31 Projective algebras.- 32 Injective algebras.- Epilogue.Table of Contents1 Boolean rings.- 2 Boolean algebras.- 3 Fields of sets.- 4 Regular open sets.- 5 Elementary relations.- 6 Order.- 7 Infinite operations.- 8 Subalgebras.- 9 Homomorphisms.- 10 Free algebras.- 11 Ideals and filters.- 12 The homomorphism theorem.- 13 Boolean ?-algebras.- 14 The countable chain condition.- 15 Measure algebras.- 16 Atoms.- 17 Boolean spaces.- 18 The representation theorem.- 19 Duality for ideals.- 20 Duality for homomorphisms.- 21 Completion.- 22 Boolean ?-spaces.- 23 The representation of ?-algebras.- 24 Boolean measure spaces.- 25 Incomplete algebras.- 26 Products of algebras.- 27 Sums of algebras.- 28 Isomorphisms of factors.- 29 Isomorphisms of countable factors.- 30 Retracts.- 31 Projective algebras.- 32 Injective algebras.- Epilogue.
£999.99
Springer Perspectives of Elementary Mathematics
Book SynopsisList of Chapters.- I. Counting.- II. Integers.- III. Fractions.- IV. Linearity.- V. Multilinear Algebra.- VI. Polynomials.- VII. The Exponential Function.- VIII. Integration.- IX. The Sphere in 3-Space.Table of ContentsList of Chapters.- I. Counting.- II. Integers.- III. Fractions.- IV. Linearity.- V. Multilinear Algebra.- VI. Polynomials.- VII. The Exponential Function.- VIII. Integration.- IX. The Sphere in 3-Space.
£999.99
Springer A Course in Model Theory
Book Synopsis1 Elementary Classes of Relations.- The Language Associated with a Relation.- 3 Extensions of the Language: Structures.- 4 Compactness.- 5 The Back-and-Forth Method in ?-Saturated Models.- 6 Examples Illustrating the Back-and-Forth Method.- 7 Arithmetic.- 8 Ordinals and Cardinals.- 9 Saturated Models.- 10 Prime Models.- 11 Heirs.- 12 Special Sons, Morley Sequences.- 13 The Fundamental Order.- 14 Stability and Saturated Models.- 15 Forking.- 16 Strong Types.- 17 Notions of Rank.- 18 Stability and Prime Models.- 19 Stability, Indiscernible Sequences and Weights.- 20 Dimension in Models of a Totally Transcendental Theory.- Index of Notation.Trade Review“It is with great satisfaction that I welcome the English translation of Poizat’s Cours de théorie des modèles … .” (Frank Wagner, zbMATH 0951.03002, 2022)Table of Contents1 Elementary Classes of Relations.- The Language Associated with a Relation.- 3 Extensions of the Language: Structures.- 4 Compactness.- 5 The Back-and-Forth Method in ?-Saturated Models.- 6 Examples Illustrating the Back-and-Forth Method.- 7 Arithmetic.- 8 Ordinals and Cardinals.- 9 Saturated Models.- 10 Prime Models.- 11 Heirs.- 12 Special Sons, Morley Sequences.- 13 The Fundamental Order.- 14 Stability and Saturated Models.- 15 Forking.- 16 Strong Types.- 17 Notions of Rank.- 18 Stability and Prime Models.- 19 Stability, Indiscernible Sequences and Weights.- 20 Dimension in Models of a Totally Transcendental Theory.- Index of Notation.
£999.99
Springer Introduction to Linear Parametric and NonLinear Vibrations
Book SynopsisA useful source of practical examples of parametric excitations, treated in a modern fashion. Here, the author presents the usually complicated and difficult subjects of parametric and nonlinear vibrations in a concise, and easy-to-understand manner.Trade Review...recommend this book to the applied community as a valuable source of practical examples of parametric excitations, treated in a modern fashion. - Mathematical Reviews; [Cartmell] has successfully presented the usually complicated and difficult subjects of parametric and nonlinear vibrations in a concise, clear and easy-to-understand manner - ChoiceTable of ContentsPart 1 Linear vibrations in mechanical engineering: classification of vibration problems; fundamentals of vibrating mechanical systems; the conservative single degree of freedom model; the non-conservative single degree of freedom model; practical uses for single degree of freedom models; transients and impulses in single degree of freedom systems; systems with more than one degree of freedom; continuous systems. Part 2 Parametric vibrations in linear vibrating systems: stability considerations; some simple physical systems; analysis of governing equations; further investigations into parametric phenomena. Part 3 Non-linear vibrations in forced and parametrically excited systems; large deflection non-linearities; material and structural configuration non-linearities. Part 4 Non-linear vibrations in autoparametric systems: two mode interaction in a coupled beam system; application to vibration absorption; multi-modal autoparametric interactions. Part 5 Phase plane concepts and chaotic vibrations: an introduction to the phase plane; a summary of fundamental phase plane concepts; chaos in vibrating systems.
£999.99
Taylor & Francis Ltd Foundations of Mathematics and other Logical Essays
Book SynopsisThis is Volume V in a series of eight on the Philosophy of Logic and Mathematics. Originally published in 1931, this study offers a collection of logical essays around the topic of the foundations of mathematics. Though mathematical teaching was Ramsey''s profession, philosophy was his vocation. Reared on the logic of Principia Mathematica, he was early to see the importance of Dr. Wittgenstein''s work (in the translation of which he assisted); and his own published papers were largely based on this. But the previously unprinted essays and notes collected in this volume show him moving towards a kind of pragmatism, and the general treatise on logic upon which at various times he had been engaged was to have treated truth and knowledge as purely natural phenomena to be explained psychologically without recourse to distinctively logical relations.Table of ContentsPREFACE BY G.E. MOORE, EDITOR'S INTRODUCTION, BIBLIOGRAPHY NOTE ON SYMBOLISM PUBLISHED PAPERS I. THE FOUNDATIONS OF MATHEMATICS (1925) II. MATHEMATICAL LOGIC (1926) III. ON A PROBLEM OF FORMAL LOGIC (1928) IV. UNIVERSALS (1925) V. NOTE ON THE PRECEDING PAPER (1926) VI. FACTS AND PROPOSITIONS (1927) UNPUBLISHED PAPERS VII TRUTH AND PROBABILITY (1926) VIII. FURTHER CONSIDERATIONS (1928) A. REASONABLE DEGREE OF BELIEF B. STATISTICS C. CHANCE IX. LAST PAPERS (1929) A. THEORIES B. GENERAL PROPOSITIONS AND CAUSALITYC. PROBABILITY AND PARTIAL BELIEF D . KNOWLEDGE E. CAUSAL QUALITIES F. PHILOSOPHY APPENDIX: CRITICAL NOTICE OF L. WITTGENSTEIN'S TRACTATUS LOGICO-PHILOSOPHICUS (1923)
£171.00
Taylor & Francis Frege Dedekind and Peano on the Foundations of Arithmetic Routledge Revivals
Book SynopsisFirst published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic. Table of Contents1. Kant's Theory of Mathematics 2. Frege's Criticisms of Kant 3. Mill's Theory of Mathematics 4. Frege's Criticisms of Mill 5. The Concept of a Statement of Number is an Assertion About a Concept 6. Frege's Platonism 7. Frege's Logicism 8. Dedekind and Set Theory 9. Dedekind's Development of Arithmetic 10. Peano's Axioms. General Comparison of Frege, Dedekind and Peano 11. Frege's Begriffsschrift 12. Frege's Grundgesetze, and Russell's Paradox
£135.00
Taylor & Francis Frege Dedekind and Peano on the Foundations of Arithmetic Routledge Revivals
Book SynopsisFirst published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic. Table of Contents1. Kant's Theory of Mathematics 2. Frege's Criticisms of Kant 3. Mill's Theory of Mathematics 4. Frege's Criticisms of Mill 5. The Concept of a Statement of Number is an Assertion About a Concept 6. Frege's Platonism 7. Frege's Logicism 8. Dedekind and Set Theory 9. Dedekind's Development of Arithmetic 10. Peano's Axioms. General Comparison of Frege, Dedekind and Peano 11. Frege's Begriffsschrift 12. Frege's Grundgesetze, and Russell's Paradox
£53.99
Cambridge University Press The Mathematics of Logic A Guide to Completeness Theorems and their Applications
Book SynopsisThis undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with KÃnig's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theoTrade Review"Kaye (pure mathematics, U. of Birmingham) gives undergraduate and first-year graduates key materials for a first course in logic, including a full mathematical account of the Completeness Theorem for first-order logic. As he builds a series of systems increasing in complexity, and proving and discussing the Completeness Theorem for each, Kaye keeps unfamiliar terminology to a minimum and provides proofs of all the required set theoretical results. He covers K<:o>nig's Lemma (including two ways of looking at mathematics), posets and maximal elements (including order), formal systems (including post systems and compatibility as bonuses), deduction in posets (including proving statements about a poset), Boolean algebras, propositional logic (including a system for proof about propositions), valuations (including semantics for propositional logic), filters and ideals (including the algebraic theory of Boolean algebras), first-order logic, completeness and compactness, model theory (including countable models) and nonstandard analysis (including infinitesimal numbers)." --Book NewsTable of ContentsPreface; How to read this book; 1. König's lemma; 2. Posets and maximal elements; 3. Formal systems; 4. Deductions in posets; 5. Boolean algebras; 6. Propositional logic; 7. Valuations; 8. Filters and ideals; 9. First-order logic; 10. Completeness and compactness; 11. Model theory; 12. Nonstandard analysis; Bibliography; Index.
£999.99
Cambridge University Press Logic Colloquium 2004
Book SynopsisThe Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of recent developments, and the rest of the papers are chosen to complement the invited talks. This volume includes surveys, tutorials, and selected research papers from the 2004 meeting. Highlights include a tutorial survey of the recent highpoints of universal algebra, written by a leading expert; explorations of foundational questions; and a quartet of model theory papers giving an excellent reflection of current work in model theory, from the most abstract aspect 'abstract elementary classes' to issues around p-adic integration.Table of Contents0. Introduction; 1. Abstract elementary classes: some answers, more questions John T. Baldwin; 2. On the density of Hausdorff ultrafilters Tomek Bartoszynski and Saharon Shelah; 3. Zero groups and maximal tori Alessandro Berarducci; 4. Constructive set theory with operations A. Cantini and L. Crosilla; 5. Parametrized local zeta functions Raf Cluckers; 6. Colourings of hypergraphs, permutation groups and CSP's Benoit Larose and Lucien Haddad; 7. Congruence, tolerance identities; congruence modularity; shifting principle Paolo Lipparini; 8. Universes in type theory part I - inaccessibles and Mahlo Anton Setzer; 9. Hausdorff dimension and weak truth table reducibility Frank Stephan; 10. Computation and the explanation of intelligent behaviours: ethnologically motivated restart Guglielmo Tamburrini and Edoardo Datteri; 11. Constructible sheaves and definability Ivan Tomasic; 12. An overview of modern universal algebra Ross Willard.
£999.99
Taylor & Francis Ltd Computing in Nonlinear Media and Automata Collectives
Book SynopsisComputing in Nonlinear Media and Automata Collectives presents an account of new ways to design massively parallel computing devices in advanced mathematical models, such as cellular automata and lattice swarms, from unconventional materials, including chemical solutions, bio-polymers, and excitable media.Trade Review"… a very original book by a very original author who is a regular contributor to Chaos, Solitons and Fractals and is a well-known name to readers of our journal … In my opinion, this book is a valuable reading material for mathematicians, physicists, chemists, and engineers working in the applications of nonlinear dynamics and related fields." -M.S. El Naschie, Pergamon "The book is a fascinating guide for the discovery of the complex domain of 'unconventional computing' … the richness of the topics allows for additional personalized readings satisfying the interests of multidisciplinary readers. The argumentation is well organized, from the basic concepts to more sophisticated techniques." -Carla Simone, Universita di Milano Bicocca "This captivating book surveys novel unconventional computing methods. For quite some time now experimental results have demonstrated the potential of DNA-based computing. But this book represents a surprisingly large number of additional designs of computing devices that to a great part are based on natural substances: they include curiosities as a model of the dynamics of a shifting sandpile and devices that imitate the behaviour of a nest of foraging ants … The many examples of unconventional computing methods in this book are presented in various degrees of detail … It remains to be seen which of the many unconventional computing methods in Adamatzky's interesting book will evolve from their present abstract state to actual devices of practical value." -Menachem Dishon, Mathematical ReviewsTable of ContentsReaction-diffusion, excitation, and computation. Subdivision of space. Computation on and with graphs. Computational universality of excitable media. Phenomenology of lattice excitation and emergence of computation.
£999.99
Springer NonClassical Logics and Their Applications to Fuzzy Subsets
Book SynopsisThis work is a study of the relations between non-classical logics and fuzzy sets. It is aimed at all those who are interested in a deeper understanding of the mathematical foundations of fuzzy set theory, including intuitionistic logic, Lukasiewicz logic and monoidal logic.Table of ContentsPart A Algebraic Foundations of Non-Classical Logics: Complete MV-algebras, L.P. Belluce. On MV-algebras of continuous functions, A. Di Nola, S. Sessa. Free and projective Heyting and monadic Heyting algebras, R. Grigolia. Commutative, residuated l-monoids, U. Hohle. V. A Proof of the completeness of the infinite-valued calculus of Lukasiewicz with one variable, D. Mundici, M. Pasquetto. Part B Non-Classical Models and Topos-Like Categories: Presheaves over GL-monoids, U. Hohle. Quantales - Quantal sets, C.J. Mulvey, M. Nawaz. Categories of fuzzy sets with values in a quantale or projectale, L.N. Stout. Fuzzy logic and categories of fuzzy sets, O. Wyler. Part C General Aspects of Non-Classical Logics: Prolog extensions to many-valued logics, F. Klawonn. Epistemological aspects of many-valued logics and fuzzy structures, L.J. Kohout. Ultraproduct theorem and recursive properties of fuzzy logic, V. Novak.
£999.99
Springer Boolean Valued Analysis
Book SynopsisThis text conveys the advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals and operators to functionals. Boolean valued representations of algebraic systems, Banach spaces, and involutive algebras are also examined.Table of ContentsForeword to the English Translation. Preface. 1. Universes of Sets. 2. Boolean Valued Universes. 3. Functors of Boolean Valued Analysis. 4. Boolean Valued Analysis of Algebraic Systems. 5. Boolean Valued Analysis of Banach Spaces. 6. Boolean Valued Analysis of Banach Algebras. Appendix. References. Subject Index.
£999.99
Springer Formal Aspects of Context
Book SynopsisWe welcome Volume 20, Formal Aspects of Context.Table of ContentsEditorial Preface; D.M. Gabbay. Introduction. Formal and Computational Models of Context for Natural Language Generation; K. van Deemter, J. Odijk. Requirements for Dialogue Context Modelling; H. Bunt. Contextual Constraints on Thematization in Written Discourse: An Empirical Study; J. Lavid. Context and Implicitness: Consequences for Traditional and Computer-assisted Text Analysis; M. Galliker, D. Weimer. A Context-based Mechanization of Multi-agent Reasoning; A. Cimatti, L. Serafini. Presuppositions in Context: Constructing Bridges; P. Piwek, E. Krahmer. Reasoning with Multilevel Contexts in Semantic Metanetworks; V.Y. Terziyan, S. Puuronen. Contextual Learning: Towards using Contexts to Achieve Generality; P. Bonzon. Contextual Deontic Logic: Violation Contexts and Factual Defeasibility; L.W.N. van der Torre, Y.-H. Tan. A Local Models Semantics for Propositional Attitudes; F. Giunchiglia, C. Ghidini. Context-based Semantics for Information Integration; L. Serafini, C. Ghidini. Structured Contexts with Fibred Semantics; D.M. Gabbay, R.T. Nossum.
£80.99
Springer Symbolic Model Checking
a huge range and FREE tracked UK delivery on ALL orders.
£999.99
Springer Fuzzy Evolutionary Computation
Book Synopsis1: Fundamentals.- 1.1. Evolutionary Algorithms.- 1.2. On the Combination of Fuzzy Logic and Evolutionary Computation: A Short Review and Bibliography.- 1.13. Fuzzy/Multiobjective Genetic Systems for Intelligent Systems Design Tools and Components.- 2: Methodology and Algorithms.- 2.1. GA Algorithms in Intelligent Robots.- 2.2. Development of If-Then Rules with the Use of DNA Coding.- 2.3. Genetic-Algorithm-Based Approaches to Classification Problems.- 2.4. Multiobjective Fuzzy Satisficing Methods for 01 Knapsack Problems through Genetic Algorithms.- 2.5. Multistage Evolutionary Optimization of Fuzzy Systems - Application to Optimal Fuzzy Control.- 2.6. Evolutionary Learning in Neural Fuzzy Control Systems.- 2.7. Stable Identification and Adaptive Control - A Dynamic Fuzzy Logic System Approach.- 2.8. Evolutionary Based Learning of Fuzzy Controllers.- 2.9. GA-Based Generation of Fuzzy Rules.- 3: Bibliography.- 3.1. An Indexed Bibliography of Genetic Algorithms with Fuzzy Logic.Table of ContentsEditor's Preface. Part 1: Fundamentals. 1.1. Evolutionary Algorithms; Z. Michalewicz, et al. 1.2. On the Combination of Fuzzy Logic And Evolutionary Computation: A Short Review and Bibliography; O. Cordon, et al. 1.3. Fuzzy/Multiobjective Genetic Systems for Intelligent Systems Design Tools and Components; M.A. Lee, H. Esbensen. Part 2: Methodology and Algorithms. 2.1. GA Algorithms in Intelligent Robots; T. Fukuda, et al. 2.2. Development of If-Then Rules with the Use of DNA Coding; T. Furuhashi. 2.3. Genetic-Algorithm-Based Approaches to Classification Problems; H. Ishibuchi, et al. 2.4. Multiobjective Fuzzy Satisficing Methods for 0-1 Knapsack Problems Through Genetic Algorithms; M. Sakawa, T. Shibano. 2.5. Multistage Evolutionary Optimization of Fuzzy Systems - Application to Optimal Fuzzy Control; J. Kacprzyk. 2.6. Evolutionary Learning in Neural Fuzzy Control Systems; D.A. Linkens, H.O. Nyongesa. 2.7. Stable Identification and Adaptive Control - A Dynamic Fuzzy Logic System Approach; G. Vukovich, J.X. Lee. 2.8. Evolutionary Based Learning of Fuzzy Controllers; L. Magdalena, J.R. Velasco. 2.9. GA-Based Generation of Fuzzy Rules; O. Nelles. Part 3: Bibliography. 3.1. An Indexed Bibliography of Genetic Algorithms with Fuzzy Logic; J.T. Alander. Subject Index.
£999.99
IntechOpen Fuzzy Logic Controllers and Applications
a huge range and FREE tracked UK delivery on ALL orders.
£999.99
Springer The Selected Correspondence of LEJ Brouwer Sources and Studies in the History of Mathematics and Physical Sciences
Book SynopsisIntroduction.- 1900 - 1910.-1911 - 1920.-1921 - 1930.-1931 - 1940.-1941 - 1950.-1951 - 1965.-Appendices.-List of Enclosures, Editorial Comments and Editorial.- Supplements.-Biographical information.-List of letters.-Abbreviations.- Organizations and journals.Trade ReviewFrom the reviews:“This book contains correspondence to and from L. E. J. Brouwer, known both for his fixed-point theorem (originally in topology, but since used in many other fields) and as the founder and first champion of the mathematical philosophy known as intuitionism. … The notes are … helpful in understanding the context in which the letters were written and the people involved.” (Jim Mackenzie, Zentralblatt MATH, Vol. 1225, 2012)“The editor of this correspondence has rendered historians of mathematics, topologists, and all those interested in the foundations of mathematics a service which lacks any close competitor, namely the most in-depth and captivating biography a mathematician has ever received … .” (Victor V. Pambuccian, Mathematical Reviews, Issue 2012 m)Table of ContentsIntroduction.- 1900 - 1910.- 1911 - 1920.- 1921 - 1930.- 1931 - 1940.- 1941 - 1950.- 1951 - 1965.- Appendices.- List of Enclosures, Editorial Comments and Editorial.- Supplements.-Biographical information.- List of letters.- Abbreviations.- Organizations and journals.
£999.99
Cambridge University Press Homogeneous Ordered Graphs Metrically Homogeneous Graphs and Beyond Volume 1 Ordered Graphs and Distanced Graphs
Book SynopsisThe first of two volumes presenting the state of the art in the classification of homogeneous structures and related problems in the intersection of model theory, algebra, and combinatorics. It contains a complete classification of homogeneous ordered graphs and a proposed classification of metrically homogeneous graphs.Table of Contents1. Results; 2. Methods; Part I. Homogeneous Ordered Graphs: 3. The catalog of homogeneous ordered graphs; 4. The generically ordered local order; 5. Ordered homogeneous graphs: Plan of the proof, Propositions I–IX; 6. Ordered homogeneous graphs: Proposition I; 7. Ordered homogeneous graphs: Proposition II; 8. Ordered homogeneous graphs: Proposition III; 9. Ordered homogeneous graphs: Proposition IV; 10. Ordered homogeneous graphs: Proposition V; Part II. Metrically Homogeneous Graphs: 11. Metrically homogeneous graphs: preliminaries; 12. Admissibility allows amalgamation; 13. Triangle constraints and 4-triviality; 14. Amalgamation requires admissibility; 15. Local analysis; 16. The bipartite case; 17. Infinite diameter; Appendix A. Some recent advances; References for Volume I; Index.
£110.00
Cambridge University Press Homogeneous Ordered Graphs Metrically Homogeneous Graphs and Beyond
Book SynopsisThis is the second of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will find in these volumes many far-reaching results and interesting new research directions to pursue. This volume continues the analysis of the first volume to 3-multi-graphs and 3-multi-tournaments, expansions of graphs and tournaments by the addition of a further binary relation. The opening chapter provides an overview of the volume, outlining the relevant results and conjectures. The author applies and extends the results of Volume I to obtain a detailed catalogue of such structures and a second classification conjecture. The book ends with an appendix exploring recent advances and open problems in the theory of homogeneous structures and related subjects.Table of Contents18. Classification problems for small binary languages; 19. Homogeneous 3-multi-graphs; 20. Imprimitive homogeneous 2-multi-tournaments; 21. 3-constrained homogeneous 2-multi-tournaments; 22. Homogeneous 2-multi-tournaments: forbidden triangles; Conclusion; Appendix B. Open problems and some recent results; References for Volume II; Index.
£95.00
