Useful to programmers and stimulating for theoreticians, this text offers a balanced presentation accessible to those with a background in calculus. Topics include approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. Includes five helpful appendixes. 1984 edition.
Useful to programmers and stimulating for theoreticians, this text offers a balanced presentation accessible to those with a background in calculus. T...
A number of years ago, Harriet Sheridan, then Dean of Brown University, organized a series oflectures in which individual faculty members described how it came about that they entered their various fields. I was invited to participate in this series and found in the invitation an opportunity to recall events going back to my early teens. The lecture was well received and its reception encouraged me to work up an expanded version. My manuscript lay dormant all these years. In the meanwhile, sufficiently many other mathematical experiences and encounters accumulated to make this little book. My...
A number of years ago, Harriet Sheridan, then Dean of Brown University, organized a series oflectures in which individual faculty members described ho...
From the Preface: "This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics and common sense. In these essays I hope to foster a critical attitude towards both the existence of common sense in mathematics and the ambiguous role that it can play."
From the Preface: "This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book no...
In this charming memoir, a renowned mathematician and winner of the American Book Award traces his career in mathematics from early lessons in horse racing and the realities of life to his adventures on the lecture circuit. A thought-provoking mix of autobiography, history, and insights into the role of mathematics in everyday life, this highly entertaining book will appeal to all readers.
In this charming memoir, a renowned mathematician and winner of the American Book Award traces his career in mathematics from early lessons in horse r...
A number of years ago, Harriet Sheridan, then Dean of Brown University, organized a series oflectures in which individual faculty members described how it came about that they entered their various fields. I was invited to participate in this series and found in the invitation an opportunity to recall events going back to my early teens. The lecture was well received and its reception encouraged me to work up an expanded version. My manuscript lay dormant all these years. In the meanwhile, sufficiently many other mathematical experiences and encounters accumulated to make this little book. My...
A number of years ago, Harriet Sheridan, then Dean of Brown University, organized a series oflectures in which individual faculty members described ho...
A sequel to the widely successful Thomas Gray, PhilosopherCat, Philip J. Davis' latest continues the adventures of the internationally popular feline and friend. Could it be that Hans Christian Andersen - who wrote so lovingly of inchworms and ugly ducklings - was an unrepentant despiser of cats? That's the rumor that the philosophical feline, Thomas Gray, and cohort, Cambridge don Lucas Fysst, (whose last name doesn't rhyme with "fist") are determined to snuff out. In Copenhagen to attend a philosophers' convention, they go on the hunt for a missing Andersen...
A sequel to the widely successful Thomas Gray, PhilosopherCat, Philip J. Davis' latest continues the adventures of the in...
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...
The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of...
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...
The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of...
