Mathematics for Engineers Vol.2 (1版)

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【簡介】 This second volume in our series is intended primarily as a companion text for the second semester mathematics preliminaries for students and lecturers of electrical engineering and other engineering disciplines. In a clear and concise manner, and without too much abstraction, it introduces students to the topics covered in the basic mathematics lectures. Volume 2 also provides students at universities and applied universities with a largely accurate, but always illustrative, presentation as a practical aid to entry into higher mathematics. Mathematical concepts are clearly motivated, systematically equated and visualized in many animations. Mathematical proofs are almost completely avoided. Instead, many applications not only support the application of mathematics, but also contribute to a better understanding of mathematics. 【目錄】

Mathematics for Engineers Vol.1 Numbers and Equations, Vectors and Matrices, Functions in one Variable, Differential Calculus

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【簡介】 The Karlsruhe University of Applied Sciences started an English-language Bachelor's program in Electrical Engineering in 2021. In order to support our international students with appropriate material, this three-volume textbook was written. Taking into account that different students will attend different mathematics courses, we decided to design three volumes of a series of mathematics books, each part for a single semester. Mathematical terms are clearly motivated, systematically equated and visualized in many animations. Mathematical proofs are almost completely renounced. Instead, a lot of applications support not only the application of mathematics but also contribute to a better understanding of mathematics. Important formulas and statements are clearly highlighted in order to increase the readability of the books. More than 300 images and sketches support the character of modern textbooks. The color-coded layout provides a clear overview of the presentation of the content, e.g. by adding new terms and definitions in light grey, important statements and sentences in grey. 【目錄】 Numbers, Equations and Systems of Equations Vectors and Vector Calculus Matrices and Determinants Basic Functions Complex Numbers Limits and Continuity Differential Calculus

A Brief History of Mathematics for Curious Minds

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【簡介】 This book offers a short and accessible account of the history of mathematics, written for the intelligent layman to gain a better appreciation of its beauty, relevance, and place in history. It traces the development of the subject throughout the centuries, starting with the so-called Lebombo bone, the oldest known mathematical object that was estimated to be at least 43,000 years old, and ending with the 21st century. The presentation is informal, and no prior knowledge of mathematics is needed to enjoy the systematic chronological insights. A collection of appendices is included for more technical material — though still at the level of secondary school mathematics — and is concerned with the historically important proofs and concepts that can be explained in a simple way. 【目錄】 Preface From the Beginnings to 6th Century BCE The Greeks (From 6th Century BCE to 5th Century CE) Ancient Chinese and Indian Mathematics (From 5th Century BCE to 5th Century CE) The Romans and the Middle Ages (From 1st Century BCE to the 15th Century) The Early Modern World (From the 15th to 17th Century) The 18th Century The 19th Century The 20th and 21st Centuries Final Remarks Further Reading Appendices Bibliography Name Index

Precalculus: Mathematics for Calculus (8版)

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●WEBASSIGN PROVIDES ONLINE TOOLS TO BUILD YOUR STUDENTS’ CONFIDENCE AND ELEVATE PERFORMANCE: Leading WebAssign digital resources provide instant access to expertly designed support for both you and your students. Updated, innovative exercises, "Explore It" interactive learning modules and instructional videos reinforce concepts for students and assist in review. ●REAL-WORLD APPLICATIONS ENGAGE STUDENTS: This title draws upon applications from engineering, physics, chemistry, business, biology, environmental studies and other fields to demonstrate how mathematics is used to model real-life situations. This approach reinforces the relevance and importance of the principles students are learning. ●"FOCUS ON MODELING" SECTIONS SHOW STUDENTS HOW TO APPLY MATHEMATICS: These "Focus on Modeling" sections illustrate modelling techniques as well as how mathematics can be applied to model real-life situations. These sections teach students how to create their own mathematical models rather than use prefabricated formulas. ●TRIGONOMETRY APPROACH PROVIDES FLEXIBILITY IN YOUR INSTRUCTION: The chapters on trigonometry (Chs. 5, 6 and 7) are written so you have a choice of beginning with either the right triangle approach or the unit circle approach. Each approach to trigonometry is accompanied by the applications appropriate for that approach. Students clearly understand the reasons behind the different approaches to trigonometry. 目錄 1. Fundamentals 2. Functions 3. Polynomial and Rational Functions 4. Exponential and Logarithmic Functions 5. Trigonometric Functions: Unit Circle Approach 6. Trigonometric Functions: Right Triangle Approach 7. Analytical Trigonometry 8. Polar Coordinates, Parametric Equations, and Vectors 9. Systems of Equations and Inequalities 10. Conic Sections 11. Sequences and Series 12. Limits: A Preview of Calculus APPENDIX A: Geometry Review APPENDIX B: Calculations and Significant Figures (available on website) APPENDIX C: Graphing with a Graphing Calculator (available on website) APPENDIX D: Using the TI-83/84 Graphing Calculator (available on website) Answers