Mathematics N1

This book presents the proceedings from a conference at Temple University celebrating the work of Leon Ehrenpreis, distinguished by its insistence upon getting to the heart of the mathematics and by its astonishing consistency in doing so successfully. Professor Ehrenpreis has worked in many areas of mathematics and has found connections among all of them. For example, we can find his analysis ideas in the context of number theory, geometric thinking within analysis, transcendental number theory tied to partial differential equations.The conference brought together the communities of mathematicians working in the areas of interest to Professor Ehrenpreis and allowed them to share the research inspired by his work. The collection of articles presents current research on PDE's, several complex variables, analytic number theory, integral geometry and tomography. The thinking of Professor Ehrenpreis has contributed fundamental concepts and techniques in these areas and has motivated a wealth of research results. This volume offers a survey of the fundamental principles that unified the conference and influenced the mathematics of Leon Ehrenpreis.

No detailed description available for "Probabilistic Methods in Discrete Mathematics".

This edition of the book has been revised with the needs of present-day first-year engineering students in mind. Apart from many significant extensions to the text, attention has been paid to the inclusion of additional explanatory material wherever it seems likely to be helpful and to a lowering of the rigour of proofs given in previous editions - without losing sight of the necessity to justify results. New problem sets are included for use with commonly available software products. The mathematical requirements common to first year engineering students of every discipline are covered in detail with numerous illustrative worked examples given throughout the text. Extensive problem sets are given at the end of each chapter with answers to odd-numbered questions provided at the end of the book.