Author: Kenneth J. Rothman
Publisher: Lippincott Williams & Wilkins
ISBN: 9780781755641
Category : Medical
Languages : en
Pages : 776
Book Description
The thoroughly revised and updated Third Edition of the acclaimed Modern Epidemiology reflects both the conceptual development of this evolving science and the increasingly focal role that epidemiology plays in dealing with public health and medical problems. Coauthored by three leading epidemiologists, with sixteen additional contributors, this Third Edition is the most comprehensive and cohesive text on the principles and methods of epidemiologic research. The book covers a broad range of concepts and methods, such as basic measures of disease frequency and associations, study design, field methods, threats to validity, and assessing precision. It also covers advanced topics in data analysis such as Bayesian analysis, bias analysis, and hierarchical regression. Chapters examine specific areas of research such as disease surveillance, ecologic studies, social epidemiology, infectious disease epidemiology, genetic and molecular epidemiology, nutritional epidemiology, environmental epidemiology, reproductive epidemiology, and clinical epidemiology.
Proofs and Fundamentals
Author: Ethan D. Bloch
Publisher: Springer Science & Business Media
ISBN: 1441971270
Category : Mathematics
Languages : en
Pages : 378
Book Description
“Proofs and Fundamentals: A First Course in Abstract Mathematics” 2nd edition is designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. New to the second edition: 1) A new section about the foundations of set theory has been added at the end of the chapter about sets. This section includes a very informal discussion of the Zermelo– Fraenkel Axioms for set theory. We do not make use of these axioms subsequently in the text, but it is valuable for any mathematician to be aware that an axiomatic basis for set theory exists. Also included in this new section is a slightly expanded discussion of the Axiom of Choice, and new discussion of Zorn's Lemma, which is used later in the text. 2) The chapter about the cardinality of sets has been rearranged and expanded. There is a new section at the start of the chapter that summarizes various properties of the set of natural numbers; these properties play important roles subsequently in the chapter. The sections on induction and recursion have been slightly expanded, and have been relocated to an earlier place in the chapter (following the new section), both because they are more concrete than the material found in the other sections of the chapter, and because ideas from the sections on induction and recursion are used in the other sections. Next comes the section on the cardinality of sets (which was originally the first section of the chapter); this section gained proofs of the Schroeder–Bernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets. The chapter concludes with the section on the cardinality of the number systems. 3) The chapter on the construction of the natural numbers, integers and rational numbers from the Peano Postulates was removed entirely. That material was originally included to provide the needed background about the number systems, particularly for the discussion of the cardinality of sets, but it was always somewhat out of place given the level and scope of this text. The background material about the natural numbers needed for the cardinality of sets has now been summarized in a new section at the start of that chapter, making the chapter both self-contained and more accessible than it previously was. 4) The section on families of sets has been thoroughly revised, with the focus being on families of sets in general, not necessarily thought of as indexed. 5) A new section about the convergence of sequences has been added to the chapter on selected topics. This new section, which treats a topic from real analysis, adds some diversity to the chapter, which had hitherto contained selected topics of only an algebraic or combinatorial nature. 6) A new section called ``You Are the Professor'' has been added to the end of the last chapter. This new section, which includes a number of attempted proofs taken from actual homework exercises submitted by students, offers the reader the opportunity to solidify her facility for writing proofs by critiquing these submissions as if she were the instructor for the course. 7) All known errors have been corrected. 8) Many minor adjustments of wording have been made throughout the text, with the hope of improving the exposition.
Publisher: Springer Science & Business Media
ISBN: 1441971270
Category : Mathematics
Languages : en
Pages : 378
Book Description
“Proofs and Fundamentals: A First Course in Abstract Mathematics” 2nd edition is designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. New to the second edition: 1) A new section about the foundations of set theory has been added at the end of the chapter about sets. This section includes a very informal discussion of the Zermelo– Fraenkel Axioms for set theory. We do not make use of these axioms subsequently in the text, but it is valuable for any mathematician to be aware that an axiomatic basis for set theory exists. Also included in this new section is a slightly expanded discussion of the Axiom of Choice, and new discussion of Zorn's Lemma, which is used later in the text. 2) The chapter about the cardinality of sets has been rearranged and expanded. There is a new section at the start of the chapter that summarizes various properties of the set of natural numbers; these properties play important roles subsequently in the chapter. The sections on induction and recursion have been slightly expanded, and have been relocated to an earlier place in the chapter (following the new section), both because they are more concrete than the material found in the other sections of the chapter, and because ideas from the sections on induction and recursion are used in the other sections. Next comes the section on the cardinality of sets (which was originally the first section of the chapter); this section gained proofs of the Schroeder–Bernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets. The chapter concludes with the section on the cardinality of the number systems. 3) The chapter on the construction of the natural numbers, integers and rational numbers from the Peano Postulates was removed entirely. That material was originally included to provide the needed background about the number systems, particularly for the discussion of the cardinality of sets, but it was always somewhat out of place given the level and scope of this text. The background material about the natural numbers needed for the cardinality of sets has now been summarized in a new section at the start of that chapter, making the chapter both self-contained and more accessible than it previously was. 4) The section on families of sets has been thoroughly revised, with the focus being on families of sets in general, not necessarily thought of as indexed. 5) A new section about the convergence of sequences has been added to the chapter on selected topics. This new section, which treats a topic from real analysis, adds some diversity to the chapter, which had hitherto contained selected topics of only an algebraic or combinatorial nature. 6) A new section called ``You Are the Professor'' has been added to the end of the last chapter. This new section, which includes a number of attempted proofs taken from actual homework exercises submitted by students, offers the reader the opportunity to solidify her facility for writing proofs by critiquing these submissions as if she were the instructor for the course. 7) All known errors have been corrected. 8) Many minor adjustments of wording have been made throughout the text, with the hope of improving the exposition.
The Routledge Companion to Epistemology
Author: Sven Bernecker
Publisher: Taylor & Francis
ISBN: 1136882014
Category : Philosophy
Languages : en
Pages : 938
Book Description
Epistemology, the philosophy of knowledge, is at the core of many of the central debates and issues in philosophy, interrogating the notions of truth, objectivity, trust, belief and perception. The Routledge Companion to Epistemology provides a comprehensive and the up-to-date survey of epistemology, charting its history, providing a thorough account of its key thinkers and movements, and addressing enduring questions and contemporary research in the field. Organized thematically, the Companion is divided into ten sections: Foundational Issues, The Analysis of Knowledge, The Structure of Knowledge, Kinds of Knowledge, Skepticism, Responses to Skepticism, Knowledge and Knowledge Attributions, Formal Epistemology, The History of Epistemology, and Metaepistemological Issues. Seventy-eight chapters, each between 5000 and 7000 words and written by the world’s leading epistemologists, provide students with an outstanding and accessible guide to the field. Designed to fit the most comprehensive syllabus in the discipline, this text will be an indispensible resource for anyone interested in this central area of philosophy. The Routledge Companion to Epistemology is essential reading for students of philosophy.
Publisher: Taylor & Francis
ISBN: 1136882014
Category : Philosophy
Languages : en
Pages : 938
Book Description
Epistemology, the philosophy of knowledge, is at the core of many of the central debates and issues in philosophy, interrogating the notions of truth, objectivity, trust, belief and perception. The Routledge Companion to Epistemology provides a comprehensive and the up-to-date survey of epistemology, charting its history, providing a thorough account of its key thinkers and movements, and addressing enduring questions and contemporary research in the field. Organized thematically, the Companion is divided into ten sections: Foundational Issues, The Analysis of Knowledge, The Structure of Knowledge, Kinds of Knowledge, Skepticism, Responses to Skepticism, Knowledge and Knowledge Attributions, Formal Epistemology, The History of Epistemology, and Metaepistemological Issues. Seventy-eight chapters, each between 5000 and 7000 words and written by the world’s leading epistemologists, provide students with an outstanding and accessible guide to the field. Designed to fit the most comprehensive syllabus in the discipline, this text will be an indispensible resource for anyone interested in this central area of philosophy. The Routledge Companion to Epistemology is essential reading for students of philosophy.
Philosophy of Language
Author: William G. Lycan
Publisher: Routledge
ISBN: 1134696043
Category : Philosophy
Languages : en
Pages : 261
Book Description
Philosophy of Language introduces the student to the main issues and theories in twentieth-century philosophy of language. Topics are structured in three parts in the book. Part I, Reference and Referring Expressions, includes topics such as Russell's Theory of Desciptions, Donnellan's distinction, problems of anaphora, the description theory of proper names, Searle's cluster theory, and the causal-historical theory. Part II, Theories of Meaning, surveys the competing theories of linguistic meaning and compares their various advantages and liabilities. Part III, Pragmatics and Speech Acts, introduces the basic concepts of linguistic pragmatics, includes a detailed discussion of the problem of indirect force and surveys approaches to metaphor. Unique features of the text: * chapter overviews and summaries * clear supportive examples * study questions * annotated further reading * glossary.
Publisher: Routledge
ISBN: 1134696043
Category : Philosophy
Languages : en
Pages : 261
Book Description
Philosophy of Language introduces the student to the main issues and theories in twentieth-century philosophy of language. Topics are structured in three parts in the book. Part I, Reference and Referring Expressions, includes topics such as Russell's Theory of Desciptions, Donnellan's distinction, problems of anaphora, the description theory of proper names, Searle's cluster theory, and the causal-historical theory. Part II, Theories of Meaning, surveys the competing theories of linguistic meaning and compares their various advantages and liabilities. Part III, Pragmatics and Speech Acts, introduces the basic concepts of linguistic pragmatics, includes a detailed discussion of the problem of indirect force and surveys approaches to metaphor. Unique features of the text: * chapter overviews and summaries * clear supportive examples * study questions * annotated further reading * glossary.
Realistic Rationalism
Author: Jerrold J. Katz
Publisher: MIT Press
ISBN: 9780262263290
Category : Philosophy
Languages : en
Pages : 268
Book Description
Jerrold Katz develops a new philosophical position integrating realism and rationalism. In Realistic Rationalism, Jerrold J. Katz develops a new philosophical position integrating realism and rationalism. Realism here means that the objects of study in mathematics and other formal sciences are abstract; rationalism means that our knowledge of them is not empirical. Katz uses this position to meet the principal challenges to realism. In exposing the flaws in criticisms of the antirealists, he shows that realists can explain knowledge of abstract objects without supposing we have causal contact with them, that numbers are determinate objects, and that the standard counterexamples to the abstract/concrete distinction have no force. Generalizing the account of knowledge used to meet the challenges to realism, he develops a rationalist and non-naturalist account of philosophical knowledge and argues that it is preferable to contemporary naturalist and empiricist accounts. The book illuminates a wide range of philosophical issues, including the nature of necessity, the distinction between the formal and natural sciences, empiricist holism, the structure of ontology, and philosophical skepticism. Philosophers will use this fresh treatment of realism and rationalism as a starting point for new directions in their own research.
Publisher: MIT Press
ISBN: 9780262263290
Category : Philosophy
Languages : en
Pages : 268
Book Description
Jerrold Katz develops a new philosophical position integrating realism and rationalism. In Realistic Rationalism, Jerrold J. Katz develops a new philosophical position integrating realism and rationalism. Realism here means that the objects of study in mathematics and other formal sciences are abstract; rationalism means that our knowledge of them is not empirical. Katz uses this position to meet the principal challenges to realism. In exposing the flaws in criticisms of the antirealists, he shows that realists can explain knowledge of abstract objects without supposing we have causal contact with them, that numbers are determinate objects, and that the standard counterexamples to the abstract/concrete distinction have no force. Generalizing the account of knowledge used to meet the challenges to realism, he develops a rationalist and non-naturalist account of philosophical knowledge and argues that it is preferable to contemporary naturalist and empiricist accounts. The book illuminates a wide range of philosophical issues, including the nature of necessity, the distinction between the formal and natural sciences, empiricist holism, the structure of ontology, and philosophical skepticism. Philosophers will use this fresh treatment of realism and rationalism as a starting point for new directions in their own research.
On Reasoning and Argument
Author: David Hitchcock
Publisher: Springer
ISBN: 3319535625
Category : Philosophy
Languages : en
Pages : 558
Book Description
This book brings together in one place David Hitchcock’s most significant published articles on reasoning and argument. In seven new chapters he updates his thinking in the light of subsequent scholarship. Collectively, the papers articulate a distinctive position in the philosophy of argumentation. Among other things, the author:• develops an account of “material consequence” that permits evaluation of inferences without problematic postulation of unstated premises.• updates his recursive definition of argument that accommodates chaining and embedding of arguments and allows any type of illocutionary act to be a conclusion. • advances a general theory of relevance.• provides comprehensive frameworks for evaluating inferences in reasoning by analogy, means-end reasoning, and appeals to considerations or criteria.• argues that none of the forms of arguing ad hominem is a fallacy.• describes proven methods of teaching critical thinking effectively.
Publisher: Springer
ISBN: 3319535625
Category : Philosophy
Languages : en
Pages : 558
Book Description
This book brings together in one place David Hitchcock’s most significant published articles on reasoning and argument. In seven new chapters he updates his thinking in the light of subsequent scholarship. Collectively, the papers articulate a distinctive position in the philosophy of argumentation. Among other things, the author:• develops an account of “material consequence” that permits evaluation of inferences without problematic postulation of unstated premises.• updates his recursive definition of argument that accommodates chaining and embedding of arguments and allows any type of illocutionary act to be a conclusion. • advances a general theory of relevance.• provides comprehensive frameworks for evaluating inferences in reasoning by analogy, means-end reasoning, and appeals to considerations or criteria.• argues that none of the forms of arguing ad hominem is a fallacy.• describes proven methods of teaching critical thinking effectively.
Wodehouse
Author: Robert McCrum
Publisher: W. W. Norton & Company
ISBN: 9780393051599
Category : Biography & Autobiography
Languages : en
Pages : 578
Book Description
He had an extraordinary Broadway career, wrote 90 novels and story collections, and among his immortal characters are Jeeves and the Empress of Blandings. McCrum's magisterial biography chronicles the achievements and shadows of a gilded life.
Publisher: W. W. Norton & Company
ISBN: 9780393051599
Category : Biography & Autobiography
Languages : en
Pages : 578
Book Description
He had an extraordinary Broadway career, wrote 90 novels and story collections, and among his immortal characters are Jeeves and the Empress of Blandings. McCrum's magisterial biography chronicles the achievements and shadows of a gilded life.