Yisong Yang, Polytechnic school of Engineering, New York University
مشخصات ظاهری
نام خاص و کميت اثر
xiii, 318 pages ;
ابعاد
24 cm
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 313-314) and index
یادداشتهای مربوط به مندرجات
متن يادداشت
Vector spaces -- Linear mappings -- Determinants -- Scalar products -- Real quadratic forms and self-adjoint mappings -- Complete quadratic forms and self-adjoint mappings -- Jordan decompositions -- Selected topis -- Excursion: Quantum mechanics in a nutshell
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This engaging textbook for advanced undergraduate students and beginning graduates covers the core subjects in linear algebra. The author motivates the concepts by drawing clear links to applications and other important areas, such as differential topology and quantum mechanics. The book places particular emphasis on integrating ideas from analysis wherever appropriate. For example, the notion of determinant is shown to appear from calculating the index of a vector field which leads to a self-contained proof of the Fundamental Theorem of Algebra, and the Cayley-Hamilton theorem is established by recognizing the fact that the set of complex matrices of distinct eigenvalues is dense. The material is supplemented by a rich collection of over 350 mostly proof-oriented exercises, suitable for students from a wide variety of backgrounds. Selected solutions are provided at the back of the book, making it suitable for self-study as well as for use as a course text. --Provided by publisher
عنوان اصلی به زبان دیگر
عنوان اصلي به زبان ديگر
Advanced linear algebra
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Algebras, Linear-- Study and teaching (Graduate)
موضوع مستند نشده
Algebras, Linear-- Study and teaching (Higher)
موضوع مستند نشده
Algebras, Linear, Textbooks
رده بندی کنگره
شماره رده
QA184
.
2
نشانه اثر
.
Y36
2015
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )