Davis, Martin 1928
Overview
Works:  58 works in 427 publications in 6 languages and 8,627 library holdings 

Genres:  History Biography Biographies Documentary films Biographical films Nonfiction films Conference papers and proceedings Textbooks 
Roles:  Author, Editor, Interviewee, Translator, Author of introduction, wpr, Artist 
Classifications:  QA248.5, 004.09 
Publication Timeline
.
Most widely held works about
Martin Davis
 Papers by Emil Leon Post( )
 Martin Davis on Computability, Computational Logic, and Mathematical Foundations( Book )
Most widely held works by
Martin Davis
The universal computer : the road from Leibniz to Turing by
Martin Davis(
Book
)
45 editions published between 2000 and 2018 in English and held by 1,849 WorldCat member libraries worldwide
The author looks at mathematical pioneers and the development of computers, focusing on the contributions of such innovators as G.W. Leibniz, George Boole, Gottlob Frege, Georg Cantor, David Hilbert, Kurt Gödel, and Alan Turing
45 editions published between 2000 and 2018 in English and held by 1,849 WorldCat member libraries worldwide
The author looks at mathematical pioneers and the development of computers, focusing on the contributions of such innovators as G.W. Leibniz, George Boole, Gottlob Frege, Georg Cantor, David Hilbert, Kurt Gödel, and Alan Turing
Computability & unsolvability by
Martin Davis(
Book
)
58 editions published between 1958 and 2013 in 5 languages and held by 1,350 WorldCat member libraries worldwide
Cover; Title Page; Copyright Page; Dedication; Preface to the Dover Edition; Preface to the First Edition; Contents; Glossary of Special Symbols; 1. Heuristic Remarks on Decision Problems; 2. Suggestions to the Reader; 3. Notational Conventions; Introduction; PART 1: THE GENERAL THEORY OF COMPUTABILITY; Chapter 1. Computable Functions; 1. Turing Machines; 2. Computable Functions and Partially Computable Functions; 3. Some Examples; 4. Relatively Computable Functions; Chapter 2. Operations on Computable Functions; 1. Preliminary Lemmas; 2. Composition and Minimalization
58 editions published between 1958 and 2013 in 5 languages and held by 1,350 WorldCat member libraries worldwide
Cover; Title Page; Copyright Page; Dedication; Preface to the Dover Edition; Preface to the First Edition; Contents; Glossary of Special Symbols; 1. Heuristic Remarks on Decision Problems; 2. Suggestions to the Reader; 3. Notational Conventions; Introduction; PART 1: THE GENERAL THEORY OF COMPUTABILITY; Chapter 1. Computable Functions; 1. Turing Machines; 2. Computable Functions and Partially Computable Functions; 3. Some Examples; 4. Relatively Computable Functions; Chapter 2. Operations on Computable Functions; 1. Preliminary Lemmas; 2. Composition and Minimalization
Computability, complexity, and languages : fundamentals of theoretical computer science by
Martin Davis(
Book
)
50 editions published between 1983 and 2015 in English and Italian and held by 1,273 WorldCat member libraries worldwide
This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. * Computability theory is introduced in a manner that makes maximum use of previous programming experience, including a "universal" program that takes up less than a page. * The number of exercises included has more than tripled. * Automata theory, computational logic, and complexity theory are presented in a flexible manner, and can be covered in a variety of different arrangements
50 editions published between 1983 and 2015 in English and Italian and held by 1,273 WorldCat member libraries worldwide
This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. * Computability theory is introduced in a manner that makes maximum use of previous programming experience, including a "universal" program that takes up less than a page. * The number of exercises included has more than tripled. * Automata theory, computational logic, and complexity theory are presented in a flexible manner, and can be covered in a variety of different arrangements
Applied nonstandard analysis by
Martin Davis(
Book
)
37 editions published between 1977 and 2014 in 4 languages and held by 806 WorldCat member libraries worldwide
Geared toward upperlevel undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques of nonstandard analysis at the outset from a single, powerful construction; then, beginning with a nonstandard construction of the real number system, it leads students through a nonstandard treatment of the basic topics of elementary real analysis, topological spaces, and Hilbert space.Important topics include nonstandard treatments of equicontinuity, nonmeasurable sets, and the existence of Haar measure. The focus on compact operators on a Hilbert space includes the BernsteinRobinson theorem on invariant subspaces, which was first proved with nonstandard methods. Ever mindful of the needs of readers with little background in these subjects, the text offers a straightforward treatment that provides a strong foundation for advanced studies of analysis
37 editions published between 1977 and 2014 in 4 languages and held by 806 WorldCat member libraries worldwide
Geared toward upperlevel undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques of nonstandard analysis at the outset from a single, powerful construction; then, beginning with a nonstandard construction of the real number system, it leads students through a nonstandard treatment of the basic topics of elementary real analysis, topological spaces, and Hilbert space.Important topics include nonstandard treatments of equicontinuity, nonmeasurable sets, and the existence of Haar measure. The focus on compact operators on a Hilbert space includes the BernsteinRobinson theorem on invariant subspaces, which was first proved with nonstandard methods. Ever mindful of the needs of readers with little background in these subjects, the text offers a straightforward treatment that provides a strong foundation for advanced studies of analysis
The undecidable : basic papers on undecidable propositions, unsolvable problems and computable functions by
Martin Davis(
Book
)
30 editions published between 1955 and 2004 in English and held by 716 WorldCat member libraries worldwide
An anthology of fundamental papers on undecidability and unsolvability, this classic reference opens with Gödel's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers by Goèdel, Church, Turing, and Post single out the class of recursive functions as computable by finite algorithms. from publisher description
30 editions published between 1955 and 2004 in English and held by 716 WorldCat member libraries worldwide
An anthology of fundamental papers on undecidability and unsolvability, this classic reference opens with Gödel's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers by Goèdel, Church, Turing, and Post single out the class of recursive functions as computable by finite algorithms. from publisher description
A first course in functional analysis by
Martin Davis(
Book
)
36 editions published between 1966 and 2013 in English and Undetermined and held by 553 WorldCat member libraries worldwide
This introduction to functional analysis is based on the lecture notes of Martin Davis, a distinguished professor of mathematics. The treatment demonstrates the essential unity of mathematics without assuming more background than can be expected of advanced undergraduates and graduate students majoring in mathematics.A selfcontained exposition of Gelfand's proof of Wiener's theorem, this volume explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and analytic functions into a Banach space. Numerous problems appear throughout the book
36 editions published between 1966 and 2013 in English and Undetermined and held by 553 WorldCat member libraries worldwide
This introduction to functional analysis is based on the lecture notes of Martin Davis, a distinguished professor of mathematics. The treatment demonstrates the essential unity of mathematics without assuming more background than can be expected of advanced undergraduates and graduate students majoring in mathematics.A selfcontained exposition of Gelfand's proof of Wiener's theorem, this volume explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and analytic functions into a Banach space. Numerous problems appear throughout the book
From linear operators to computational biology : essays in memory of Jacob T. Schwartz by
Martin Davis(
)
9 editions published between 2012 and 2013 in English and held by 421 WorldCat member libraries worldwide
In his rich and varied career as a mathematician, computer scientist, and educator, Jacob T. Schwartz wrote seminal works in analysis, mathematical economics, programming languages, algorithmics, and computational geometry. In this volume of essays, his friends, students, and collaborators at the Courant Institute of Mathematical Sciences present recent results in some of the fields that Schwartz explored: quantum theory, the theory and practice of programming, program correctness and decision procedures, dextrous manipulation in Robotics, motion planning, and genomics
9 editions published between 2012 and 2013 in English and held by 421 WorldCat member libraries worldwide
In his rich and varied career as a mathematician, computer scientist, and educator, Jacob T. Schwartz wrote seminal works in analysis, mathematical economics, programming languages, algorithmics, and computational geometry. In this volume of essays, his friends, students, and collaborators at the Courant Institute of Mathematical Sciences present recent results in some of the fields that Schwartz explored: quantum theory, the theory and practice of programming, program correctness and decision procedures, dextrous manipulation in Robotics, motion planning, and genomics
Lectures on modern mathematics by
Martin Davis(
Book
)
13 editions published between 1966 and 1967 in English and held by 337 WorldCat member libraries worldwide
13 editions published between 1966 and 1967 in English and held by 337 WorldCat member libraries worldwide
Logic for programming, artificial intelligence, and reasoning 20th International Conference, LPAR20 2015, Suva, Fiji, November
2428, 2015 : proceedings by LPAR (Conference)(
)
8 editions published between 2015 and 2016 in English and German and held by 296 WorldCat member libraries worldwide
This book constitutes the proceedings of the 20th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR20, held in November 2015, in Suva, Fiji. The 43 regular papers presented together with 1 invited talk included in this volume were carefully reviewed and selected from 92 submissions. The series of International Conferences on Logic for Programming, Artificial Intelligence and Reasoning, LPAR, is a forum where, year after year, some of the most renowned researchers in the areas of logic, automated reasoning, computational logic, programming languages and their applications come to present cuttingedge results, to discuss advances in these fields, and to exchange ideas in a scientifically emerging part of the world
8 editions published between 2015 and 2016 in English and German and held by 296 WorldCat member libraries worldwide
This book constitutes the proceedings of the 20th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR20, held in November 2015, in Suva, Fiji. The 43 regular papers presented together with 1 invited talk included in this volume were carefully reviewed and selected from 92 submissions. The series of International Conferences on Logic for Programming, Artificial Intelligence and Reasoning, LPAR, is a forum where, year after year, some of the most renowned researchers in the areas of logic, automated reasoning, computational logic, programming languages and their applications come to present cuttingedge results, to discuss advances in these fields, and to exchange ideas in a scientifically emerging part of the world
Solvability, provability, definability : the collected works of Emil L. Post by
Emil Leon Post(
Book
)
13 editions published between 1993 and 1994 in English and held by 204 WorldCat member libraries worldwide
13 editions published between 1993 and 1994 in English and held by 204 WorldCat member libraries worldwide
Computability, 19731974 by
Martin Davis(
Book
)
13 editions published in 1974 in English and Undetermined and held by 181 WorldCat member libraries worldwide
13 editions published in 1974 in English and Undetermined and held by 181 WorldCat member libraries worldwide
Julia Robinson and Hilbert's tenth problem(
Visual
)
3 editions published in 2008 in English and Undetermined and held by 111 WorldCat member libraries worldwide
"Julia Robinson was the first woman elected to the mathematical section of the National Academy of Sciences, and the first woman to become president of the American Mathematical Society. While tracing Robinson's contribution to the solution of Hilbert's tenth problem, the film illuminates how her work led to an unusual friendship between Russian and American colleagues at the height of the Cold War."Container
3 editions published in 2008 in English and Undetermined and held by 111 WorldCat member libraries worldwide
"Julia Robinson was the first woman elected to the mathematical section of the National Academy of Sciences, and the first woman to become president of the American Mathematical Society. While tracing Robinson's contribution to the solution of Hilbert's tenth problem, the film illuminates how her work led to an unusual friendship between Russian and American colleagues at the height of the Cold War."Container
Introduction to modern algebra and matrix theory by
O Schreier(
Book
)
7 editions published between 1951 and 1959 in English and held by 102 WorldCat member libraries worldwide
"This unique text provides students with a basic course in both calculus and analytic geometry. It promotes an intuitive approach to calculus and emphasizes algebraic concepts. Minimal prerequisites. Numerous exercises. 1951 edition"
7 editions published between 1951 and 1959 in English and held by 102 WorldCat member libraries worldwide
"This unique text provides students with a basic course in both calculus and analytic geometry. It promotes an intuitive approach to calculus and emphasizes algebraic concepts. Minimal prerequisites. Numerous exercises. 1951 edition"
Uncrackable data banks by
Norman Zalmon Shapiro(
Book
)
3 editions published between 1973 and 1975 in English and held by 64 WorldCat member libraries worldwide
3 editions published between 1973 and 1975 in English and held by 64 WorldCat member libraries worldwide
Lecture notes on mathematical logic : Fall 1959. by
Martin Davis(
Book
)
2 editions published in 1959 in English and held by 49 WorldCat member libraries worldwide
2 editions published in 1959 in English and held by 49 WorldCat member libraries worldwide
Alan M. Turing by
Sara Turing(
)
9 editions published between 2012 and 2015 in English and held by 46 WorldCat member libraries worldwide
'In a short life he accomplished much, and to the roll of great names in the history of his particular studies added his own.' So is described one of the greatest figures of the twentieth century, yet Alan Turing's name was not widely recognised until his contribution to the breaking of the German Enigma code became public in the 1970s. The story of Turing's life fascinates and in the years since his suicide, Turing's reputation has only grown, as his contributions to logic, mathematics, computing, artificial intelligence and computational biology have become better appreciated. To commemorate the centenary of Turing's birth, this republication of his mother's biography is enriched by a new foreword by Martin Davis and a neverbeforepublished memoir by Alan's older brother. The contrast between this memoir and the original biography reveals tensions and sheds new light on Turing's relationship with his family, and on the man himself
9 editions published between 2012 and 2015 in English and held by 46 WorldCat member libraries worldwide
'In a short life he accomplished much, and to the roll of great names in the history of his particular studies added his own.' So is described one of the greatest figures of the twentieth century, yet Alan Turing's name was not widely recognised until his contribution to the breaking of the German Enigma code became public in the 1970s. The story of Turing's life fascinates and in the years since his suicide, Turing's reputation has only grown, as his contributions to logic, mathematics, computing, artificial intelligence and computational biology have become better appreciated. To commemorate the centenary of Turing's birth, this republication of his mother's biography is enriched by a new foreword by Martin Davis and a neverbeforepublished memoir by Alan's older brother. The contrast between this memoir and the original biography reveals tensions and sheds new light on Turing's relationship with his family, and on the man himself
Paradigms and fairy tales : an introduction to the science of meanings by
Julienne Ford(
Book
)
2 editions published in 1975 in English and held by 34 WorldCat member libraries worldwide
2 editions published in 1975 in English and held by 34 WorldCat member libraries worldwide
One equation to rule them all by
Martin Davis(
Book
)
4 editions published between 1965 and 1968 in English and held by 24 WorldCat member libraries worldwide
The report describes an application of recursive function theory to Hilbert's tenth problem. It is proved that if a particular exhibited diophantine equation has no nontrivial solutions, then all recursively enumerable sets are diophantine. Hence, if the exhibited diophantine equation has no nontrivial solutions, then Hilbert's tenth problem is recursively unsolvable. The methods used can be readily adapted to obtained various other hypotheses about which demonstrations can be made similar to the one given in this study. It has not yet been proved that the 'one equation to rule them all' has no nontrivial solution, but so far the search for counterexamples has been fruitless
4 editions published between 1965 and 1968 in English and held by 24 WorldCat member libraries worldwide
The report describes an application of recursive function theory to Hilbert's tenth problem. It is proved that if a particular exhibited diophantine equation has no nontrivial solutions, then all recursively enumerable sets are diophantine. Hence, if the exhibited diophantine equation has no nontrivial solutions, then Hilbert's tenth problem is recursively unsolvable. The methods used can be readily adapted to obtained various other hypotheses about which demonstrations can be made similar to the one given in this study. It has not yet been proved that the 'one equation to rule them all' has no nontrivial solution, but so far the search for counterexamples has been fruitless
Il calcolatore universale : da Leibniz a Turing by
Martin Davis(
Book
)
4 editions published between 2003 and 2012 in Italian and held by 22 WorldCat member libraries worldwide
4 editions published between 2003 and 2012 in Italian and held by 22 WorldCat member libraries worldwide
Hilbert's tenth problem by
I︠U︡. V Matii︠a︡sevich(
Book
)
4 editions published between 1993 and 1996 in English and held by 21 WorldCat member libraries worldwide
4 editions published between 1993 and 1996 in English and held by 21 WorldCat member libraries worldwide
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Related Identities
 Weyuker, Elaine J. Editor
 Sigal, Ron Editor
 Schonberg, Edmond Editor
 Voronkov, Andrei Editor
 McIver, Annabelle Editor
 Fehnker, Ansgar Editor
 Courant Institute of Mathematical Sciences
 Post, Emil Leon 18971954 Author
 Jacobs, Barry
 Matii︠a︡sevich, I︠U︡. V. (I︠U︡riĭ V.) Interviewee Author
Useful Links
Associated Subjects
Algebra Algebras, Linear Algorithms Artificial intelligence Automation Computable functions Computable functionsData processing Computational biology Computational complexity Computer engineering Computers Computer science Diophantine analysis Electronic digital computers Euclidean algorithm Formal languages Functional analysis Geometry, Analytic Gödel's theorem Great Britain Group theory Hilbert, David, Hilbert's tenth problem Information storage and retrieval systems Linear operators Logic, Symbolic and mathematical Machine theory Mathematicians Mathematics Meaning (Philosophy) Nonstandard mathematical analysis Philosophy Post, Emil Leon, Privacy, Right of Programming languages (Electronic computers) Quantum theory Reality Recursive functions Recursive functionsData processing Robinson, Julia, Robotics Sampling (Statistics) Social sciencesMethodology SociologyMethodology Turing, Alan Mathison, Turing machines United States Unsolvability (Mathematical logic) Women Women mathematicians
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Alternative Names
David, M
Davis, Martin
Davis, Martin D.
Davis Martin D. 1928....
Devis, M.
Martin Davis Amerikaans wiskundige
Martin Davis amerikai matematikus
Martin Davis amerikanischer Logiker
Martin Davis amerikansk matematikar
Martin Davis amerikansk matematiker
Martin Davis matemático estadounidense
Martin Davis matematico statunitense
Martin Davis mathématicien américain
Девис, М..
Девис, М 1928
Девис, М. (Мартин), 1928
Мартин Дэвис американский математик
Мартін Девіс
مارتن ديفيس رياضياتي أمريكي
مارتین دیویس ریاضیدان آمریکایی
ディヴィス, マーティン
デービス, M.
マーチン・デービス
马丁·戴维斯
Languages