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

AN INTRODUCTION TO GROUPS & THEIR MATRICES FOR SCIENCE STUDENTS

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AN INTRODUCTION TO GROUPS AND THEIR MATRICES FOR SCIENCE STUDENTS 2022 (H) ISBN： 9781108831086 類別： 物理學Physics 出版社： CAMBRIDGE UNIVERSITY PRESS 作者： KOLENKOW 年份： 2022 裝訂別： 精裝 頁數： 360頁 Group theory, originating from algebraic structures in mathematics, has long been a powerful tool in many areas of physics, chemistry and other applied sciences, but it has seldom been covered in a manner accessible to undergraduates. This book from renowned educator Robert Kolenkow introduces group theory and its applications starting with simple ideas of symmetry, through quantum numbers, and working up to particle physics. It features clear explanations, accompanying problems and exercises, and numerous worked examples from experimental research in the physical sciences. Beginning with key concepts and necessary theorems, topics are introduced systematically including: molecular vibrations and lattice symmetries; matrix mechanics; wave mechanics; rotation and quantum angular momentum; atomic structure; and finally particle physics. This comprehensive primer on group theory is ideal for advanced undergraduate topics courses, reading groups, or self-study, and it will help prepare graduate students for higher-level courses. > Uniquely suitable for advanced undergraduate level, as most group theory texts and courses begin at graduate level, enabling students to appreciate why group theory is central to modern physics > A wide range of examples clarify the use of group theory, including selected topics not often covered at this level, e.g. matrix mechanics, entanglement, EPR paradox, and photon correlation > Avoid formal math-heavy proofs in the main text, but important results are provided in the Appendices Table of Contents 1. Fundamental concepts 2. Matrix representations of discrete groups 3. Molecular vibrations 4. Crystalline solids 5. Bohr's quantum theory and matrix mechanics 6. Wave mechanics, measurement, and entanglement 7. Rotation 8. Quantum angular momentum 9. The structure of atoms 10. Particle physics. Appendices.