WorldCat Identities

Davis, Philip J. 1923-

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
Most widely held works about Philip J Davis
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
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

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
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
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

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

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

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
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 self-contained. 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
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

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

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

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

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
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

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 thought-provoking 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
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
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. --
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  Kids General Special  
Audience level: 0.36 (from 0.11 for The lore o ... to 0.90 for Erfahrung ...)

Interpolation and approximation
The lore of large numbersDescartes' dream : the world according to mathematicsMethods of numerical integrationInterpolation and approximationMathematical encounters of the second kindMathematics and common sense : a case of creative tensionThomas Gray, philosopher catThe companion guide to The mathematical experience, study edition
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 US-amerikanischer 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


English (550)

German (19)

Italian (11)

Turkish (3)

Czech (1)