This book introduces the fundamental concepts, techniques and results of linear algebra that form the basis of analysis, applied mathematics and algebra. Intended as a text for undergraduate students of mathematics, science and engineering with a knowledge of set theory, it discusses the concepts that are constantly used by scientists and engineers. It also lays the foundation for the language and framework for modern analysis and its applications. Divided into seven chapters, it discusses vector spaces, linear transformations, best approximation in inner product spaces, eigenvalues and eigenvectors, block diagonalisation, triangularisation, Jordan form, singular value decomposition, polar decomposition, and many more topics that are relevant to applications. The topics chosen have become well-established over the years and are still very much in use. The approach is both geometric and algebraic. It avoids distraction from the main theme by deferring the exercises to the end of each section. These exercises aim at reinforcing the learned concepts rather than as exposing readers to the tricks involved in the computation. Problems included at the end of each chapter are relatively advanced and require a deep understanding and assimilation of the topics.--
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer Nature
شماره انبار
com.springer.onix.9789811309267
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Linear algebra.
شماره استاندارد بين المللي کتاب و موسيقي
9789811309250
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Algebras, Linear.
موضوع مستند نشده
Algebras, Linear.
مقوله موضوعی
موضوع مستند نشده
MAT002050
موضوع مستند نشده
PBF
موضوع مستند نشده
PBF
رده بندی ديویی
شماره
512/
.
5
ويراست
23
رده بندی کنگره
شماره رده
QA184
.
2
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )