Название: Basic Technical Mathematics with Calculus, 12th Edition
Автор: Allyn J. Washington, Richard Evans
Издательство: Pearson Education
Год: 2023
Страниц: 1150
Язык: английский
Формат: pdf (true)
Размер: 48.2 MB

Basic Technical Mathematics with Calculus focuses on the essentials you need, with no added theory or side trips. It supports understanding of mathematical techniques and how they apply on the job in fields like computer design, electronics, solar energy, lasers, and the environment. A vast number of applications create a solid foundation in algebra and trigonometry and demonstrate their applicability in various technical fields. Plenty of solved examples, problem sets, and practice exercises help reinforce skills. End-of-chapter review and test prep help you succeed on quizzes and exams. Additionally, the authors point out common errors, frequently misunderstood topics, and essential material.

Basic Technical Mathematics with Calculus, Twelfth Edition, is intended primarily for students in technical and pre-engineering technical programs or other programs for which coverage of mathematics is required. Chapters 1 through 20 provide the necessary background for further study with an integrated treatment of algebra and trigonometry. Chapter 21 covers the basic topics of analytic geometry, and Chapter 22 gives an introduction to statistics. Chapters 23 through 31 cover fundamental concepts of calculus including limits, derivatives, integrals, series representation of functions, and differential equations. In the examples and exercises, numerous applications from the various fields of technology are included, primarily to indicate where and how mathematical techniques are used. However, it is not necessary that the student have a specific knowledge of the technical area from which any given problem is taken. Most students using this text will have a background that includes some algebra and geometry. However, the material is presented in adequate detail for those who may need more study in these areas. The material presented here is sufficient for two to three semesters. One of the principal reasons for the arrangement of topics in this text is to present material in an order that allows a student to take courses concurrently in allied technical areas, such as physics and electricity. These allied courses normally require a student to know certain mathematics topics by certain definite times; yet the traditional order of topics in mathematics courses makes it difficult to attain this coverage without loss of continuity. However, the material in this book can be rearranged to fit any appropriate sequence of topics. The approach used in this text is not unduly rigorous mathematically, although all appropriate terms and concepts are introduced as needed and given an intuitive or algebraic foundation. The aim is to help the student develop an understanding of mathematical methods without simply providing a collection of formulas. The text material is developed recognizing that it is essential for the student to have a sound background in algebra and trigonometry in order to understand and succeed in any subsequent work in mathematics.

This chapter is an introduction to some of the basic concepts and uses of statistics. We first consider certain basic statistical measures. Then a section is devoted to normal distributions, followed by a section on control charts that are used in statistical process control in industry. The final sections show how to start with a set of points on a graph and find an equation that best “fits” the data. This equation, which shows a basic relationship between the variables, can be useful in research.

Most sections include some practice exercises in the margin. They are included so that a student is more actively involved in the learning process and can check his or her understanding of the material. They can also be used for classroom exercises. The answers to these exercises are given at the end of the exercises set for the section. There are over 450 of these exercises.