Davis, Martin 1928
Overview
Works:  60 works in 407 publications in 5 languages and 8,485 library holdings 

Genres:  History Biography Biographies Documentary films Conference papers and proceedings Biographical films Nonfiction films Textbooks 
Roles:  Author, Editor, Interviewee, Translator, Author of introduction, wpr, Artist 
Classifications:  QA248.5, 004.09 
Publication Timeline
.
Most widely held works by
Martin Davis
The universal computer : the road from Leibniz to Turing by
Martin Davis(
Book
)
37 editions published between 2000 and 2018 in English and held by 1,544 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
37 editions published between 2000 and 2018 in English and held by 1,544 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
)
57 editions published between 1958 and 2013 in 4 languages and held by 1,263 WorldCat member libraries worldwide
7. The Recursion TheoremsChapter 11. The Classification of Unsolvable Decision Problems; 1. Reducibility and the Kleene Hierarchy; 2. Incomparability; 3. Creative Sets and Simple Sets; 4. Constructive Ordinals; 5. Extensions of the Kleene Hierarchy; Appendix 1. Some Results from the Elementary Theory of Numbers; Appendix 2. Hilbert's Tenth Problem Is Unsolvable; References; Index
57 editions published between 1958 and 2013 in 4 languages and held by 1,263 WorldCat member libraries worldwide
7. The Recursion TheoremsChapter 11. The Classification of Unsolvable Decision Problems; 1. Reducibility and the Kleene Hierarchy; 2. Incomparability; 3. Creative Sets and Simple Sets; 4. Constructive Ordinals; 5. Extensions of the Kleene Hierarchy; Appendix 1. Some Results from the Elementary Theory of Numbers; Appendix 2. Hilbert's Tenth Problem Is Unsolvable; References; Index
Computability, complexity, and languages : fundamentals of theoretical computer science by
Martin Davis(
Book
)
48 editions published between 1983 and 2009 in 3 languages and held by 1,180 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
48 editions published between 1983 and 2009 in 3 languages and held by 1,180 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
)
35 editions published between 1977 and 2014 in 4 languages and held by 721 WorldCat member libraries worldwide
2 Nonstandard Theory of Archimedean Fields3 The Real Numbers; 4 The Hyperreal Numbers; 5 Real Sequences and Functions; 6 Prolongation Theorems; 7 Nonstandard Differential Calculus; 8 Additivity; 9 The Existence of Nonmeasurable Sets; Exercises; Chapter 3 Topological and Metric Spaces; 1 Topological Spaces; 2 Mappings and Products; 3 Topological Groups; 4 The Existence of Haar Measure; 5 Metric Spaces; 6 Uniform Convergence; 7 Uniform Continuity and Equicontinuity; 8 Compact Mappings; Chapter 4 Normed Linear Spaces; 1 Linear Spaces; 2 Compact Operators
35 editions published between 1977 and 2014 in 4 languages and held by 721 WorldCat member libraries worldwide
2 Nonstandard Theory of Archimedean Fields3 The Real Numbers; 4 The Hyperreal Numbers; 5 Real Sequences and Functions; 6 Prolongation Theorems; 7 Nonstandard Differential Calculus; 8 Additivity; 9 The Existence of Nonmeasurable Sets; Exercises; Chapter 3 Topological and Metric Spaces; 1 Topological Spaces; 2 Mappings and Products; 3 Topological Groups; 4 The Existence of Haar Measure; 5 Metric Spaces; 6 Uniform Convergence; 7 Uniform Continuity and Equicontinuity; 8 Compact Mappings; Chapter 4 Normed Linear Spaces; 1 Linear Spaces; 2 Compact Operators
The undecidable : basic papers on undecidable propositions, unsolvable problems and computable functions / edited by Martin
Davis by
Martin Davis(
Book
)
29 editions published between 1955 and 2004 in English and held by 711 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
29 editions published between 1955 and 2004 in English and held by 711 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
)
33 editions published between 1966 and 2013 in English and Undetermined and held by 439 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
33 editions published between 1966 and 2013 in English and Undetermined and held by 439 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
Lectures on modern mathematics by
Martin Davis(
Book
)
13 editions published between 1966 and 1967 in English and held by 340 WorldCat member libraries worldwide
13 editions published between 1966 and 1967 in English and held by 340 WorldCat member libraries worldwide
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
)
5 editions published in 1974 in English and held by 147 WorldCat member libraries worldwide
5 editions published in 1974 in English and held by 147 WorldCat member libraries worldwide
Julia Robinson and Hilbert's tenth problem(
Visual
)
3 editions published in 2008 in English and Undetermined and held by 112 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 112 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 103 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 103 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
Computability by
Martin Davis(
Book
)
8 editions published in 1974 in English and Undetermined and held by 31 WorldCat member libraries worldwide
8 editions published in 1974 in English and Undetermined and held by 31 WorldCat member libraries worldwide
From linear operators to computational biology : essays in memory of Jacob T. Schwartz by
Martin Davis(
Book
)
9 editions published between 2012 and 2013 in English and held by 30 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. In addition to presenting recent results in these fields, these essays illuminate the astonishingly productive trajectory of a brilliant and original scientist and thinker
9 editions published between 2012 and 2013 in English and held by 30 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. In addition to presenting recent results in these fields, these essays illuminate the astonishingly productive trajectory of a brilliant and original scientist and thinker
Il calcolatore universale : da Leibniz a Turing by
Martin Davis(
Book
)
4 editions published between 2003 and 2012 in Italian and held by 26 WorldCat member libraries worldwide
4 editions published between 2003 and 2012 in Italian and held by 26 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
Alan M. Turing by
Sara Turing(
Book
)
9 editions published between 2012 and 2015 in English and held by 22 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 22 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
Hilbert's tenth problem by
I︠U︡. V Matii︠a︡sevich(
Book
)
4 editions published between 1993 and 1996 in English and held by 22 WorldCat member libraries worldwide
4 editions published between 1993 and 1996 in English and held by 22 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Weyuker, Elaine J. Editor
 Sigal, Ron Editor
 Schonberg, Edmond Editor
 Courant Institute of Mathematical Sciences
 Post, Emil Leon 18971954 Author
 Jacobs, Barry
 Matii︠a︡sevich, I︠U︡. V. (I︠U︡riĭ V.) Interviewee Author
 Hausner, Melvin 1928 Translator
 Putnam, Hilary Interviewee
 Csicsery, George Paul Author of screenplay Director
Useful Links
Associated Subjects
Algebra Algebras, Linear Algorithms Artificial intelligence Automatic theorem proving Automation City University of New York.City College 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 Logic design Logic programming Machine theory Mathematicians Mathematics Nonstandard mathematical analysis Post, Emil Leon, Privacy, Right of Programming languages (Electronic computers) Quantum theory Quine, W. V.(Willard Van Orman) Recursive functions Recursive functionsData processing Robinson, Julia, Robotics Software engineering Turing, Alan Mathison, Turing machines United States Unsolvability (Mathematical logic) Women Women mathematicians
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
Covers