Davis, Philip J. 1923
Overview
Works:  98 works in 743 publications in 5 languages and 19,781 library holdings 

Genres:  History Popular works Miscellanea Biography Fiction Humor Essays 
Roles:  Author, Editor, Author of introduction, Other 
Publication Timeline
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Most widely held works about
Philip J Davis
 The education of a mathematician by Philip J Davis( Book )
 Davis, Philip, Mathematician Autograph Collection by Philip J Davis( )
 The thread : a mathematical yarn by Philip J Davis( Book )
Most widely held works by
Philip J Davis
The mathematical experience by
Philip J Davis(
Book
)
138 editions published between 1980 and 2012 in 4 languages and held by 3,226 WorldCat member libraries worldwide
Traces the history of mathematics, offers profiles of major mathematicians and their discoveries, and looks at the philosophy of mathematics
138 editions published between 1980 and 2012 in 4 languages and held by 3,226 WorldCat member libraries worldwide
Traces the history of mathematics, offers profiles of major mathematicians and their discoveries, and looks at the philosophy of mathematics
The lore of large numbers by
Philip J Davis(
Book
)
54 editions published between 1961 and 2012 in English and Italian and held by 2,666 WorldCat member libraries worldwide
54 editions published between 1961 and 2012 in English and Italian and held by 2,666 WorldCat member libraries worldwide
Descartes' dream : the world according to mathematics by
Philip J Davis(
Book
)
51 editions published between 1984 and 2005 in English and held by 1,872 WorldCat member libraries worldwide
Discusses the impact that mathematics and computers have on our intellectual and emotional lives
51 editions published between 1984 and 2005 in English and held by 1,872 WorldCat member libraries worldwide
Discusses the impact that mathematics and computers have on our intellectual and emotional lives
Methods of numerical integration by
Philip J Davis(
Book
)
47 editions published between 1967 and 2007 in English and held by 1,304 WorldCat member libraries worldwide
Methods of Numerical Integration, Second Edition describes the theoretical and practical aspects of major methods of numerical integration. Numerical integration is the study of how the numerical value of an integral can be found. This book contains six chapters and begins with a discussion of the basic principles and limitations of numerical integration. The succeeding chapters present the approximate integration rules and formulas over finite and infinite intervals. These topics are followed by a review of error analysis and estimation, as well as the application of functional analysis to numerical integration. A chapter describes the approximate integration in two or more dimensions. The final chapter looks into the goals and processes of automatic integration, with particular attention to the application of Tschebyscheff polynomials. This book will be of great value to theoreticians and computer programmers
47 editions published between 1967 and 2007 in English and held by 1,304 WorldCat member libraries worldwide
Methods of Numerical Integration, Second Edition describes the theoretical and practical aspects of major methods of numerical integration. Numerical integration is the study of how the numerical value of an integral can be found. This book contains six chapters and begins with a discussion of the basic principles and limitations of numerical integration. The succeeding chapters present the approximate integration rules and formulas over finite and infinite intervals. These topics are followed by a review of error analysis and estimation, as well as the application of functional analysis to numerical integration. A chapter describes the approximate integration in two or more dimensions. The final chapter looks into the goals and processes of automatic integration, with particular attention to the application of Tschebyscheff polynomials. This book will be of great value to theoreticians and computer programmers
Interpolation and approximation by
Philip J Davis(
Book
)
44 editions published between 1963 and 2014 in English and Undetermined and held by 1,115 WorldCat member libraries worldwide
44 editions published between 1963 and 2014 in English and Undetermined and held by 1,115 WorldCat member libraries worldwide
3.1416 and all that by
Philip J Davis(
Book
)
23 editions published between 1969 and 2006 in English and held by 1,086 WorldCat member libraries worldwide
23 editions published between 1969 and 2006 in English and held by 1,086 WorldCat member libraries worldwide
The mathematics of matrices; a first book of matrix theory and linear algebra by
Philip J Davis(
Book
)
26 editions published between 1965 and 1984 in English and held by 850 WorldCat member libraries worldwide
26 editions published between 1965 and 1984 in English and held by 850 WorldCat member libraries worldwide
Mathematical encounters of the second kind by
Philip J Davis(
Book
)
16 editions published between 1996 and 1997 in English and German and held by 831 WorldCat member libraries worldwide
"Philip J. Davis has won numerous awards for his scientific writing, among them the National Book Award. Mathematical Encounters of the Second Kind is a joyful memoir of the author's encounters, some actual and some fictional, with a number of mathematicians and historical figures. For instance, few people know that Napoleon Bonaparte of France, Lord Rothschild of England, and Queen Hortense of the Netherlands had in common an interest in mathematical talent. Fewer still know the influence that that interest had on their lives and on the lives of others of their respective times. And only Davis knows that, were it not for one of them, he might never have developed the interest in mathematics that has led him to a life of creating and applying mathematics and writing about it for his peers, his students, and a wide range of intellectually curious readers." "Davis' message is that an interest in mathematics can, like any activity of the human mind, bring people into contact with each other over centuries, over oceans, and over cultural separations. He came to realize that mathematics goes beyond the scientific and technological needs of society, and can serve as a social connection among people of diverse origins, abilities, and stations in life. He turns, in his correspondence and travels, some surprising corners, sharing with us his encounters with a world of academics, politicians, writers, and even spies, all connected through some of the simplest, yet most profound ideas in mathematics." "What emerges is an entertaining and informative portrayal of an occupation that is not well understood or is misconceived by the rest of the world. The general reader will find that little mathematical knowledge is required to join and to enjoy the commentary and the fun of the encounters."Jacket
16 editions published between 1996 and 1997 in English and German and held by 831 WorldCat member libraries worldwide
"Philip J. Davis has won numerous awards for his scientific writing, among them the National Book Award. Mathematical Encounters of the Second Kind is a joyful memoir of the author's encounters, some actual and some fictional, with a number of mathematicians and historical figures. For instance, few people know that Napoleon Bonaparte of France, Lord Rothschild of England, and Queen Hortense of the Netherlands had in common an interest in mathematical talent. Fewer still know the influence that that interest had on their lives and on the lives of others of their respective times. And only Davis knows that, were it not for one of them, he might never have developed the interest in mathematics that has led him to a life of creating and applying mathematics and writing about it for his peers, his students, and a wide range of intellectually curious readers." "Davis' message is that an interest in mathematics can, like any activity of the human mind, bring people into contact with each other over centuries, over oceans, and over cultural separations. He came to realize that mathematics goes beyond the scientific and technological needs of society, and can serve as a social connection among people of diverse origins, abilities, and stations in life. He turns, in his correspondence and travels, some surprising corners, sharing with us his encounters with a world of academics, politicians, writers, and even spies, all connected through some of the simplest, yet most profound ideas in mathematics." "What emerges is an entertaining and informative portrayal of an occupation that is not well understood or is misconceived by the rest of the world. The general reader will find that little mathematical knowledge is required to join and to enjoy the commentary and the fun of the encounters."Jacket
The Schwarz function and its applications by
Philip J Davis(
Book
)
20 editions published between 1960 and 2014 in English and held by 830 WorldCat member libraries worldwide
H. A. Schwarz showed us how to extend the notion of reflection in straight lines and circles to reflection in an arbitrary analytic arc. Notable applications were made to the symmetry principle and to problems of analytic continuation. Reflection, in the hands of Schwarz, is an antianalytic mapping. By taking its complex conjugate, we arrive at an analytic function that we have called here the Schwarz Function of the analytic arc. This function is worthy of study in its own right and this essay presents such a study. In dealing with certain familiar topics, the use of the Schwarz Function lends a point of view, a clarity and elegance, and a degree of generality which might otherwise be missing. It opens up a line of inquiry which has yielded numerous interesting things in complex variables; it illuminates some functional equations and a variety of iterations which interest the numerical analyst. The perceptive reader will certainly find here some old wine in relabelled bottles. But one of the principles of mathematical growth is that the relabelling process often suggests a new generation of problems. Means become ends; the medium rapidly becomes the message. This book is not wholly selfcontained. Readers will find that they should be familiar with the elementary portions of linear algebra and of the theory of functions of a complex variable
20 editions published between 1960 and 2014 in English and held by 830 WorldCat member libraries worldwide
H. A. Schwarz showed us how to extend the notion of reflection in straight lines and circles to reflection in an arbitrary analytic arc. Notable applications were made to the symmetry principle and to problems of analytic continuation. Reflection, in the hands of Schwarz, is an antianalytic mapping. By taking its complex conjugate, we arrive at an analytic function that we have called here the Schwarz Function of the analytic arc. This function is worthy of study in its own right and this essay presents such a study. In dealing with certain familiar topics, the use of the Schwarz Function lends a point of view, a clarity and elegance, and a degree of generality which might otherwise be missing. It opens up a line of inquiry which has yielded numerous interesting things in complex variables; it illuminates some functional equations and a variety of iterations which interest the numerical analyst. The perceptive reader will certainly find here some old wine in relabelled bottles. But one of the principles of mathematical growth is that the relabelling process often suggests a new generation of problems. Means become ends; the medium rapidly becomes the message. This book is not wholly selfcontained. Readers will find that they should be familiar with the elementary portions of linear algebra and of the theory of functions of a complex variable
No way : the nature of the impossible by
Philip J Davis(
Book
)
7 editions published in 1987 in English and held by 704 WorldCat member libraries worldwide
What is possible and impossible in mountaineering, biology, medicine, chemistry, artificial intelligence, technology, physics, mathematics, law, politics, economics, psychology, education, poetry, music, philosophy
7 editions published in 1987 in English and held by 704 WorldCat member libraries worldwide
What is possible and impossible in mountaineering, biology, medicine, chemistry, artificial intelligence, technology, physics, mathematics, law, politics, economics, psychology, education, poetry, music, philosophy
Numerical integration by
Philip J Davis(
Book
)
24 editions published between 1960 and 1967 in English and Undetermined and held by 626 WorldCat member libraries worldwide
24 editions published between 1960 and 1967 in English and Undetermined and held by 626 WorldCat member libraries worldwide
The thread : a mathematical yarn by
Philip J Davis(
Book
)
16 editions published between 1982 and 1989 in English and Undetermined and held by 590 WorldCat member libraries worldwide
16 editions published between 1982 and 1989 in English and Undetermined and held by 590 WorldCat member libraries worldwide
Circulant matrices by
Philip J Davis(
Book
)
29 editions published between 1979 and 2012 in English and Undetermined and held by 556 WorldCat member libraries worldwide
29 editions published between 1979 and 2012 in English and Undetermined and held by 556 WorldCat member libraries worldwide
Spirals : from Theodorus to chaos by
Philip J Davis(
Book
)
12 editions published between 1992 and 1993 in English and held by 457 WorldCat member libraries worldwide
12 editions published between 1992 and 1993 in English and held by 457 WorldCat member libraries worldwide
Mathematics and common sense : a case of creative tension by
Philip J Davis(
Book
)
14 editions published in 2006 in English and held by 400 WorldCat member libraries worldwide
Title Page; Contents; Preface; Acknowledgments; Letters to Christina: Answers to Frequen; Letters to Christina: Second Round; What Is Mathematics?; Mathematics and Common Sense: Relations ; How Common Sense Impacts Mathematical Re; Where Is Mathematical Knowledge Lodged, ; What Is Mathematical Intuition?; Are People Hard Wired to Do Mathematics?; Why Counting Is Impossible; Quantification in Today's World; When Should One Add Two Numbers?; Mathematics Brings Forth Entities Whose ; "In Principle We Can...": Mathematical E; Mathematical Proof and Its Discontents
14 editions published in 2006 in English and held by 400 WorldCat member libraries worldwide
Title Page; Contents; Preface; Acknowledgments; Letters to Christina: Answers to Frequen; Letters to Christina: Second Round; What Is Mathematics?; Mathematics and Common Sense: Relations ; How Common Sense Impacts Mathematical Re; Where Is Mathematical Knowledge Lodged, ; What Is Mathematical Intuition?; Are People Hard Wired to Do Mathematics?; Why Counting Is Impossible; Quantification in Today's World; When Should One Add Two Numbers?; Mathematics Brings Forth Entities Whose ; "In Principle We Can...": Mathematical E; Mathematical Proof and Its Discontents
Thomas Gray, philosopher cat by
Philip J Davis(
Book
)
15 editions published between 1984 and 1994 in 3 languages and held by 366 WorldCat member libraries worldwide
15 editions published between 1984 and 1994 in 3 languages and held by 366 WorldCat member libraries worldwide
Mathematics, substance, and surmise : views on the meaning and ontology of mathematics by
Ernest Davis(
)
8 editions published in 2015 in English and held by 255 WorldCat member libraries worldwide
The seventeen thoughtprovoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators, and mathematical historians; each brings their own expertise and insights to the discussion. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lützen Ursula Martin Kay L. O'Halloran Alison Pease Steven T. Piantadosi Lance J. Rips Micah T. Ross Nathalie Sinclair John Stillwell Helen Verran
8 editions published in 2015 in English and held by 255 WorldCat member libraries worldwide
The seventeen thoughtprovoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators, and mathematical historians; each brings their own expertise and insights to the discussion. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lützen Ursula Martin Kay L. O'Halloran Alison Pease Steven T. Piantadosi Lance J. Rips Micah T. Ross Nathalie Sinclair John Stillwell Helen Verran
Erfahrung Mathematik by
Philip J Davis(
Book
)
17 editions published between 1985 and 1996 in 3 languages and held by 230 WorldCat member libraries worldwide
Ie ältesten uns bekannten mathematischen Schriftta D feln stammen aus der Zeit um 2400 v. ehr. ; aber wir dürfen davon ausgehen, daß das Bedürfnis, Mathematik zu schaffen, ein Ausdruck der menschlichen Zivilisation an sich ist. In vier bis fünf Jahrtausenden hat sich ein gewalti ges System von Praktiken und Begriffen  die Mathematik herangebildet, die in vielfältiger Weise mit unserem Alltag verknüpft ist. Was ist Mathematik? Was bedeutet sie? Wo mit befaßt sie sich? Was sind ihre Methoden? Wie wird sie geschaffen und benützt? Wo ist ihr Platz in der Vielgestalt der menschlichen Erfahrung? Welchen Nutzen bringt sie? Was für Schaden richtet sie an? Welches Gewicht kommt ihr zu? Diese schwierigen Fragen werden noch zusätzlich kompliziert durch die Fülle des Materials und die weitver zweigten Querverbindungen, die es dem einzelnen verun möglichen, alles zu begreifen, geschweige denn, es in seiner Gesamtheit zu erfassen und zwischen den Deckeln eines normalen Buches unterzubringen. Um von dieser Material fülle nicht erdrückt zu werden, haben sich die Autoren für eine andere Betrachtungsweise entschieden. Die Mathema tik ist seit Tausenden von Jahren ein Feld menschlicher Ak tivität. In begrenztem Rahmen ist jeder von uns ein Mathe matiker und betreibt bewußt Mathematik, wenn er zum Beispiel auf dem Markt einkauft, Tapeten ausmißt oder ei nen Keramiktopf mit einem regelmäßigen Muster verziert. In bescheidenem Ausmaß versucht sich auch jeder von uns als mathematischer Denker. Schon mit dem Ausruf {laquo}Aber Zahlen lügen nicht!{raquo} befinden wir uns in der Gesellschaft von Plato oder Lakatos
17 editions published between 1985 and 1996 in 3 languages and held by 230 WorldCat member libraries worldwide
Ie ältesten uns bekannten mathematischen Schriftta D feln stammen aus der Zeit um 2400 v. ehr. ; aber wir dürfen davon ausgehen, daß das Bedürfnis, Mathematik zu schaffen, ein Ausdruck der menschlichen Zivilisation an sich ist. In vier bis fünf Jahrtausenden hat sich ein gewalti ges System von Praktiken und Begriffen  die Mathematik herangebildet, die in vielfältiger Weise mit unserem Alltag verknüpft ist. Was ist Mathematik? Was bedeutet sie? Wo mit befaßt sie sich? Was sind ihre Methoden? Wie wird sie geschaffen und benützt? Wo ist ihr Platz in der Vielgestalt der menschlichen Erfahrung? Welchen Nutzen bringt sie? Was für Schaden richtet sie an? Welches Gewicht kommt ihr zu? Diese schwierigen Fragen werden noch zusätzlich kompliziert durch die Fülle des Materials und die weitver zweigten Querverbindungen, die es dem einzelnen verun möglichen, alles zu begreifen, geschweige denn, es in seiner Gesamtheit zu erfassen und zwischen den Deckeln eines normalen Buches unterzubringen. Um von dieser Material fülle nicht erdrückt zu werden, haben sich die Autoren für eine andere Betrachtungsweise entschieden. Die Mathema tik ist seit Tausenden von Jahren ein Feld menschlicher Ak tivität. In begrenztem Rahmen ist jeder von uns ein Mathe matiker und betreibt bewußt Mathematik, wenn er zum Beispiel auf dem Markt einkauft, Tapeten ausmißt oder ei nen Keramiktopf mit einem regelmäßigen Muster verziert. In bescheidenem Ausmaß versucht sich auch jeder von uns als mathematischer Denker. Schon mit dem Ausruf {laquo}Aber Zahlen lügen nicht!{raquo} befinden wir uns in der Gesellschaft von Plato oder Lakatos
The companion guide to The mathematical experience, study edition by
Philip J Davis(
Book
)
17 editions published in 1995 in English and held by 207 WorldCat member libraries worldwide
This guide is designed as a teaching tool, aimed at both teachers and student teachers. Its main purpose is to enhance the value of "The Mathematical Experience" as a textbook. It includes a sample syllabus, outlines for group work, sample exams and hints for grading essays
17 editions published in 1995 in English and held by 207 WorldCat member libraries worldwide
This guide is designed as a teaching tool, aimed at both teachers and student teachers. Its main purpose is to enhance the value of "The Mathematical Experience" as a textbook. It includes a sample syllabus, outlines for group work, sample exams and hints for grading essays
Unity and disunity and other mathematical essays by
Philip J Davis(
Book
)
7 editions published in 2015 in English and held by 200 WorldCat member libraries worldwide
This book is a mathematical potpourri. Its material originated in classroom presentations, formal lectures, sections of earlier books, book reviews, or just things written by the author for his own pleasure. Written in a nontechnical fashion, this book expresses the unique vision and attitude of the author towards the role of mathematics in society. It contains observations or incidental remarks on mathematics, its nature, its impacts on education and science and technology, its personalities and philosophies. The book is directed towards the math buffs of the world and, more generally, towards the literate and interested public. 
7 editions published in 2015 in English and held by 200 WorldCat member libraries worldwide
This book is a mathematical potpourri. Its material originated in classroom presentations, formal lectures, sections of earlier books, book reviews, or just things written by the author for his own pleasure. Written in a nontechnical fashion, this book expresses the unique vision and attitude of the author towards the role of mathematics in society. It contains observations or incidental remarks on mathematics, its nature, its impacts on education and science and technology, its personalities and philosophies. The book is directed towards the math buffs of the world and, more generally, towards the literate and interested public. 
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Related Identities
 Hersh, Reuben 1927 Other
 Rabinowitz, Philip Author of introduction Contributor
 Chinn, William G. Other
 Marchisotto, Elena
 Park, David 19192012 Editor
 Gautschi, Walter 1927 Contributor
 Iserles, A. Contributor
 Davis, Ernest Author Editor
 Andersen, H. C. (Hans Christian) 18051875
 Rota, GianCarlo Author of introduction
Useful Links
Associated Subjects
Algebra American wit and humor Analytic functions Approximation theory Cats College teachers Common sense Computers and civilization Davis, Philip J., Descartes, René, EducationPhilosophy Engineering Geometry, AnalyticPlane Historians History Humanities Interpolation Knowledge, Theory of Logic, Symbolic and mathematical Mathematical recreations Mathematicians Mathematics MathematicsEducation MathematicsPhilosophy MathematicsSocial aspects MathematicsStudy and teaching Matrices Number theory Numerical integration Philosophy and science Possibility Reasoning Science SciencePhilosophy Social sciences Spirals United States United States.National Bureau of Standards University of Cambridge
Covers
Alternative Names
Davis, P. J.
Davis, P. J. 1923
Davis, P. J. (Philip J.), 1923
Davis, Ph.
Davis, Ph 1923
Davis, Philip 1923
Davis, Philip J.
Davis, Philip Jacob.
Davis, Philip Jacob 1923
Philip Davis
Philip Davis matematico statunitense
Philip Davis USamerikanischer Mathematiker
Philip J. Davis Amerikaans wiskundige
Philip J. Davis amerikansk matematikar
Philip J. Davis amerikansk matematiker
Philip J. Davis matemático estadounidense
Philip J. Davis mathématicien américain
فيليب ديفيس رياضياتي أمريكي
فیلیپ جی. دیویس ریاضیدان آمریکایی
데이비스, 필립 J
デイビス, フィリップ・J
デーヴィス, フィリップ J.
デービス, P. J
デービス, フィリップ
フィリップ・J・デイヴィス
Languages