Название: Mathematics for Physicists and Engineers: Fundamentals and Interactive Study Guide, Third Edition Автор: Klaus Weltner, S.T. John, Wolfgang J. Weber Издательство: Springer Год: 2023 Страниц: 662 Язык: английский Формат: pdf (true) Размер: 10.2 MB
This textbook takes physics and engineering undergraduates through the mathematics they need in the first years of study. It offers an accessible approach which is characterized by the combination of the textbook with a detailed study guide.
This study guide, supplied as freely accessible downloads for each chapter, divides the whole learning task into small units. You will read and study a limited section of the textbook and then return to the study guide afterwards. Learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. The degree of difficulty slowly rises, which will let you gain confidence and experience your own progress, thus fostering motivation. The sequence of studies can be individualized according to performance and can be regarded as a full tutorial course.
Mathematics is an essential tool for physicists and engineers which students must use from the very beginning of their studies. This combination of textbook and study guide aims to develop as rapidly as possible the students’ ability to understand and use those parts of mathematics that they will most frequently encounter. Thus, functions, vectors, calculus, differential equations and functions of several variables are presented in a very accessible way. Further chapters in the book provide the basic knowledge on various important topics in applied mathematics.
Based on their extensive experience as lecturers, each of the authors has acquired a close awareness of the needs of first- and second-year students. One of their aims has been to help users to tackle successfully the difficulties with mathematics which are commonly met. The study guide aims to satisfy two objectives simultaneously: it enables students to make more effective use of the main textbook, and it offers advice and training on the improvement of techniques for the study of textbooks generally.
In this third international edition, some sections and a new chapter “Fourier Integrals and Fourier Transforms” have been added. Furthermore, the connection between the study guide and the textbook has been improved.
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