Linear Algebra: Step by Step

ISBN : 9780199654444

Kuldeep Singh
616 ページ
189 x 241 mm
  • Step by step explanation
  • Complete solutions to all problems in the book
  • Numerous examples to help aid understanding the abstract mathematics associated with linear algebra
  • Various illustrations
  • Layout highlights the important results of linear algebra amongst the jungle of countless results
  • Short historical biographies of the leading players in the field provide context
  • Includes accounts from pracitioners in the field to highlight the applications of linear algebra

Linear algebra is a fundamental area of mathematics, and is arguably the most powerful mathematical tool ever developed. It is a core topic of study within fields as diverse as: business, economics, engineering, physics, computer science, ecology, sociology, demography and genetics. 
For an example of linear algebra at work, one needs to look no further than the Google search engine, which relies upon linear algebra to rank the results of a search with respect to relevance. 
The strength of the text is in the large number of examples and the step-by-step explanation of each topic as it is introduced. It is compiled in a way that allows distance learning, with explicit solutions to set problems freely available online. The miscellaneous exercises at the end of each chapter comprise questions from past exam papers from various universities, helping to reinforce the reader's confidence. Also included, generally at the beginning of sections, are short historical biographies of the leading players in the field of linear algebra to provide context for the topics covered. 
The dynamic and engaging style of the book includes frequent question and answer sections to test the reader's understanding of the methods introduced, rather than requiring rote learning. When first encountered, the subject can appear abstract and students will sometimes struggle to see its relevance; to counter this, the book also contains interviews with key people who use linear algebra in practice, in both professional and academic life. It will appeal to undergraduate students in mathematics, the physical sciences and engineering.


1: Linear Equations and Matrices
2: Euclidean Space
3: General Vector Spaces
4: Inner Product Spaces
5: Linear Transformation
6: Determinants
7: Eigenvalues and Eigenvectors


Kuldeep Singh has held the position of Senior Lecturer in Mathematics at the University of Hertfordshire for over twenty years, where he teaches linear algebra to entry level undergraduates. He is also the author of Engineering Mathematics through Applications(Palgrave Macmillan), a book that used widely as the basis for undergraduate studies in many different countries. He hosts and regularly updates his Maths for All website. dedicated to mathematics.Senior Lecturer in Mathematics at the University of Hertfordshire

"This book gives an introduction to linear algebra for students with limited mathematical preparation. ... The steady pace of the book is so gentle that no student need be left behind." - Peter Macgregor, Mathematical Gazette