This book is meant for an introductory course in linear algebra for undergraduate students of mathematics. It deals with the concept of vector spaces and special types of functions defined on them called linear transformations or operators. The vector spaces considered in the book are finitedimensional, a concept that involves representation of vectors in terms of a finite number of vectors which form a basis for the vector spaces. Written from a student's perspective, this textbook explains the basic concepts in a manner that the student would be able to grasp the subject easily. Numerous solved examples and exercises given at the end of nearly each section will help the student to gain confidence in his/her analytical skills. What makes this book probably stand apart from other standard books on finitedimensional linear algebra is the introduction to Hilbert Space Theory. The generic model of a finitedimensional Hilbert space (real or complex) is IRn or sn but the true relevance of operators in Hilbert spaces surfaces only when they are infinitedimensional. In order to properly comprehend the structure of an infinitedimensional Hilbert space, it is important to grasp it at the finitedimensional level. Although finitedimensional Hilbert spaces are discussed comprehensively in the first eight chapters, it is only in the last three chapters that the treatment of Hilbert spaces is given in a setting which can be easily extended to defining infinitedimensional Hilbert spaces. After going through this textbook, the students will have a clear understanding of the model of a Hilbert space in finitedimensions and will then be able to smoothly make the transition to infinitedimensional Hilbert Space Theory.
About Alka Marwaha
Alka Marwaha, PhD, is Associate Professor, Jesus and Mary College, University of Delhi, India. With nearly three decades of teaching experience, she has taught mathematics courses, both at undergraduate and postgraduate levels. She has published several research papers in various international journals. She was the recipient of Commonwealth Scholarship to the prestigious Dalhousie University, Halifax, NovaScotia, Canada, where she did her PhD under the guidance of eminent mathematician Prof. Heydar Radjavi in Operator Theory.Details Book
Author  :  Alka Marwaha 
Publisher  :  PrenticeHall of India Pvt.Ltd 
Data Published  :  30 June 2014 
ISBN  :  8120349520 
EAN  :  9788120349520 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  312 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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