This book explores a number of important examples and constructions of pathological functions. After introducing the basic concepts, the author begins with Cantor and Peano-type functions, then moves to functions whose constructions require essentia...Daugiau...
(Išleidimo metai: 14-Oct-2024, Leidėjas: Taylor & Francis Ltd, ISBN-13: 9780429165153)
Through a careful treatment of number theory and geometry, this text helps readers understand serious mathematical ideas and proofs. It shows how number theory and geometry are essential components to understanding mathematics. Classroom-tested, the...Daugiau...
This book offers the latest research advances in the field of mathematics applications in engineering sciences and provides a reference with a theoretical and sound background, along with case studies....Daugiau...
This book provides an introduction to functional analysis for non-experts in mathematics. As such, it is distinct from most other books on the subject that are intended for mathematicians. Concepts are explained concisely with visual materials, maki...Daugiau...
In this book, the authors propose to develop a portion of mathematics from the beginning. They show that the theorems of abstract mathematics are true entirely by virtue of the meanings of the words and symbols involved....Daugiau...
The concepts from the theory of measure and integration are vital to any advanced course in analysis specifically in the applications of functional analysis to other areas such as harmonic analysis, partial differential equations, and integral equat...Daugiau...
In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail. They present a gene...Daugiau...
Function transforms are some of the most important tools for solving problems in all areas of engineering and the physical sciences. This author compiled the most important and widely used of these function transforms in applied mathematics and elec...Daugiau...