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Fakultät für Mathematik:: Mathematical Foundations
Sort order. Nov 28, Tom Schulte rated it really liked it. What makes this work stand out for me among fundamentals texts is the pedagogical motive. It is plain that the authors are drawing on lecture experience for a student-friendly presentation. I feel the authors will truly succeed by refining their scope and not in adding any more material. While they still lack calculus of variations, complex variables especially in the context of electrical engineering , adequate coverage of PDEs, any student not guided by frequent lecture contact or tutor support will soon be at sea with the thinness of each topic.
Since any semester-long course will only cover only a portion of the gamut here, focus in content will improve this work while in its present form purchasers should consider it a helpful and even compact reference as well as adjunct text for the bulk of their undergraduate academic courses.
Pt Books added it Nov 21, Kirk Mayer marked it as to-read Feb 10, Wardo Sam marked it as to-read Mar 15, Salwa Almas marked it as to-read Aug 10, There are no discussion topics on this book yet. Thusfunctions, vectors, calculus, differential equations and functions of several variablesare presented in a very accessible way. Further chapters in the book provide thebasic knowledge on various important topics in applied mathematics.
Based on their extensive experience as lecturers, each of the authors has acquireda close awareness of the needs of first- and second-years students. One of their aimshas been to help users to tackle successfully the difficulties with mathematics whichare commonly met. A special feature which extends the supportive value of themain textbook is the accompanying study guide.
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This study guide aims to satisfytwo objectives simultaneously: it enables students to make more effective use of themain textbook, and it offers advice and training on the improvement of techniqueson the study of textbooks generally. The study guide divides the whole learning task into small units which the stu-dent is very likely to master successfully.
Thus he or she is asked to read and studya limited section of the textbook and to return to the study guide afterwards. Learn-ing results are controlled, monitored and deepened by graded questions, exercises,repetitions and finally by problems and applications of the content studied. Since thedegree of difficulties is slowly rising the students gain confidence immediately andexperience their own progress in mathematical competence thus fostering motiva-tion. In case of learning difficulties he or she is given additional explanations and incase of individual needs supplementary exercises and applications.
So the sequenceof the studies is individualised according to the individual performance and needsand can be regarded as a full tutorial course. The work was originally published in Germany under the title Mathematik frPhysiker Mathematics for physicists. It has proved its worth in years of actualuse.
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This new international version has been modified and extended to meet theneeds of students in physics and engineering. The CD offers two versions.
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In a first version the frames of the study guide arepresented on a PC screen. In this case the user follows the instructions given on thescreen, at first studying sections of the textbook off the PC. After this autonomousstudy he is to answer questions and to solve problems presented by the PC. A secondversion is given as pdf files for students preferring to work with a print version.
Both the textbook and the study guide have resulted from teamwork. The au-thors of the original textbook and study guides were Prof. Weltner, Prof. Heinrich, Prof. Wiesner, P.
Mathematics for Physicists and Engineers: Fundamentals and Interactive Study Guide
Engelhard and Prof. The translation and the adaption was undertaken by the undersigned. The work has been translated by J. Grosjean and P.
Schuster and adapted to the needsof engineering and science students in English speaking countries by J. Schuster, W. Weber and K. Published on Dec View Download 5.