THIS BOOK IS BASED on a course of the same name that has been taught annually at Stanford University since 1970. About fifty students have taken it each year-juniors and seniors, but mostly graduate students-and alumni of these classes have begun to
PREFACE General Character and Purpose of the Instructor’s Manual This Manual contains: (I) Detailed solutions of the even-numbered problems. (II) General comments on the purpose of each section and its classroom use, with mathematical and didactic i
Prelude 1 JEAN PAUL VAN BENDEGEM AND KAREN FRANCOIS Interlude 1 11 The Untouchable and Frightening Status of Mathematics 13 KAREN FRANCOIS Interlude 2 41 Philosophical Reflections in Mathematics Classrooms 43 SUSANNE PREDIGER Interlude 3 59 Integrat
Preface vii Prologue 1 What is Mathematics? Chapter 1 13 Why Numbers Count Chapter 2 51 Patterns of the Mind Chapter 3 95 Mathematics in Motion Chapter 4 139 Mathematics Gets into Shape Chapter 5 189 The Mathematics of Beauty Chapter 6 221 What Happ
Chapter 1: Understanding and Meaning 1 Understanding 1 Meaning 13 Chapter 2: Components and Conditions of an Act of Understanding 27 What Could Be an Act of Understanding? 28 Components of an Act of Understanding 39 Psychological Conditions of an Ac
What the role of mathematics in physical sciences is, is a relevant philosophical and historical question whose answer is necessary to fully understand the real status of physics, in particular of contemporary physics. Exactly the wish to have good
