The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat’s last theorem published in 1995 illustrates the high level of difficulty of problem…
This edited volume is devoted to Big Data Analysis from a Machine Learning standpoint as presented by some of the most eminent researchers in this area. It demonstrates that Big Data Analysis opens up new research problems which were either never considered before, or were only considered within a limited range. In addition to providing methodological discussions on the principles of mining …
This book constitutes the refereed proceedings of the 8th China Conference of Wireless Sensor Networks, held in Xi'an, China, in October/November 2014. The 64 revised full papers were carefully reviewed and selected from 365 submissions. The papers are organized in topical sections on power control and management; network architecture and deployment; positioning and location-based services in w…
Business Mathematics was written to meet the needs of a twenty-first century student. It takes a systematic approach to helping students learn how to think and centers on a structured process termed the PUPP Model (Plan, Understand, Perform, and Present). This process is found throughout the text and in every guided example to help students develop a step-by-step problem-solving approach. This …
Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts are briefly introduced, a prior knowledge of center-manifold reductions and normal-form calculations will help the reader to appreciate the pre…
This is book one in a six-book series on fundamental mathematics for adult learners. These books include glossaries, self tests, practice requests, grades records, and unit tests. Ancillary Resources include the Instructor's Manual.
The purpose of this book is to develop the foundations of the theory of holomorphicity on the ring of bicomplex numbers. Accordingly, the main focus is on expressing the similarities with, and differences from, the classical theory of one complex variable. The result is an elementary yet comprehensive introduction to the algebra, geometry and analysis of bicomplex numbers. Around the middle …
This handbook is a concise, easy-to-read, practical guide that conveys the core knowledge necessary to diagnose, classify, grade, and manage dry eye disease effectively and efficiently. A series of succinct, informative chapters cover the following key topics: definition and classification, epidemiology, office-based screening and diagnostics, artificial tears, medical management, surgical mana…
This volume reviews the ℗ℓevolution of information regarding the epidemiology of DCIS and its modes of detection, as well℗ℓ as treatment options as a function of both clinical trial data and ongoing investigational therapeutic prospects. Several of the challenging and clinically-relevant scenarios of DCIS that appear in daily practice is discussed, including the difficulties of distingu…
This book offers a well-structured, critical review of current design practice for tensioned membrane structures, including a detailed analysis of the experimental data required and critical issues relating to the lack of a set of design codes and testing procedures. The technical requirements for biaxial testing equipment are analyzed in detail, and aspects that need to be considered when deve…