Bøger af John B. Conway

The ideal text for students of point set topology who are still mastering the art of writing proofs, this course book begins with specialized material, and then extrapolates the general principles. Useful appendices link the material to courses in analysis.

From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author."

"This book presents a basic introduction to complex analysis in both an interesting and a rigorous manner. It contains enough material for a full year's course, and the choice of material treated is reasonably standard and should be satisfactory for most first courses in complex analysis.

Addresses many problems on the theory of functions of one complex variable. This book treats several topics in geometric function theory and potential theory in the plane, such as conformal equivalence for simply connected regions, de Branges' proof of the Bieberbach conjecture, Hardy spaces on the disk, and potential theory in the plane.

Illustrates connections between various courses taken by undergraduate mathematics majors. The chapters are independent, and the instructor can choose the topics that will form the course and thus tailor the syllabus to suit the backgrounds and abilities of the students. At the end of the course students should have an integrated body of mathematic knowledge.

Presents a view about the experience of being a department head.