Integers are the building blocks of the theory of numbers. This chapter contains somewhat very simple and obvious observations starting with properties of integers and yet the proofs behind those observations are not as simple. In this chapter we introduce basic operations on integers and some algebraic definitions that will be necessary to understand basic concepts in this book. We then intro…
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.
First Semester in Numerical Analysis with Julia presents the theory and methods, together with the implementation of the algorithms using the Julia programming language (version 1.1.0). The book covers computer arithmetic, root-finding, numerical quadrature and differentiation, and approximation theory. The reader is expected to have studied calculus and linear algebra. Some familiarity with a …
This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations. The primary goal of this book is to help you learn to think like a mathematician in some very specific ways.…
Now in its fourth volume, the Biennial Review of Infertility brings together the most up-to-date research and clinical information on male and female infertility, emerging assisted reproductive techniques and evolving controversies in reproductive medicine. An impressive panel of contributors presents cutting-edge information in a clear and well-balanced manner. Volume 4 discusses hot topics in…
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 …
Pipeline projects can be small jobs requiring only a few sticks of pipe. Or, they can be extensive jobs covering several miles or more. Regardless of the size of the job, it is important to properly plan. Preparing the pipe at the job site is an important aspect of job preparation. The pipe should be placed as close to the trench as possible. This makes it easier for the pipe to be accessed a…
Differentiate between fluid power systems and mechanical or electrical systems Differentiate between hydraulic and pneumatic systems with respect to the fluid medium employed, characteristics, capacity, performance, and cleanliness Describe a basic fluid power system in terms of power conversion. Describe the role of a prime mover like a motor or internal combustion engine in a fluid power sy…
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…