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Linear Algebra : step by step
Singh, Kuldeep
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| 자료유형 | 단행본 |
|---|---|
| 개인저자 | Singh, Kuldeep. |
| 서명/저자사항 | Linear Algebra: step by step/ Kuldeep Singh. |
| 발행사항 | Oxford : Oxford University Press, 2015. |
| 형태사항 | viii, 608 p. : ill. ; 25 cm. |
| ISBN | 9780199654444 |
| 일반주기 |
Includes index: p.605-608.
|
| 일반주제명 | Algebras, Linear. |
초록
목차 일부
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, e...
목차 전체
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.
목차
목차 일부
Contents
1 Linear Equations and Matrices
1.1 Systems of Linear Equations
1.2 Gaussian Elimination
1.3 Vector Arithmetic
1.4 Arithmetic of Matrices
1.5 Matrix Algebra
1.6 The Transpose and Inver...
1 Linear Equations and Matrices
1.1 Systems of Linear Equations
1.2 Gaussian Elimination
1.3 Vector Arithmetic
1.4 Arithmetic of Matrices
1.5 Matrix Algebra
1.6 The Transpose and Inver...
목차 전체
Contents
1 Linear Equations and Matrices
1.1 Systems of Linear Equations
1.2 Gaussian Elimination
1.3 Vector Arithmetic
1.4 Arithmetic of Matrices
1.5 Matrix Algebra
1.6 The Transpose and Inverse of a Matrix
1.7 Types of Solutions
1.8 The Inverse Matrix Method
Des Higham Interview
2 Euclidean Space
2.1 Properties of Vectors
2.2 Further Properties of Vectors
2.3 Linear Independence
2.4 Basis and Spanning Set
Chao Yang Interview
3 General Vector Spaces
3.1 Introduction to General Vector Spaces
3.2 Subspace of a Vector Space
3.3 Linear Independence and Basis
3.4 Dimension
3.5 Properties of a Matrix
3.6 Linear Systems Revisited
Janet Drew Interview
1 Linear Equations and Matrices
1.1 Systems of Linear Equations
1.2 Gaussian Elimination
1.3 Vector Arithmetic
1.4 Arithmetic of Matrices
1.5 Matrix Algebra
1.6 The Transpose and Inverse of a Matrix
1.7 Types of Solutions
1.8 The Inverse Matrix Method
Des Higham Interview
2 Euclidean Space
2.1 Properties of Vectors
2.2 Further Properties of Vectors
2.3 Linear Independence
2.4 Basis and Spanning Set
Chao Yang Interview
3 General Vector Spaces
3.1 Introduction to General Vector Spaces
3.2 Subspace of a Vector Space
3.3 Linear Independence and Basis
3.4 Dimension
3.5 Properties of a Matrix
3.6 Linear Systems Revisited
Janet Drew Interview
저자소개
Kuldeep Singh, Senior Lecturer in Mathematics, University of Hertfordshire
Kuldeep Singh has held the position of Senior Lecturer in Mathematics at the University of Hertfordshire for nearly thirty 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 has just published a third book Number Theory Step by Step.He also hosts and regularly updates his website with video topics and online testing:maths-for-all.co.uk/
dedicated to mathematics.Senior Lecturer in Mathematics at the University of Hertfordshire.
Kuldeep Singh has held the position of Senior Lecturer in Mathematics at the University of Hertfordshire for nearly thirty 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 has just published a third book Number Theory Step by Step.He also hosts and regularly updates his website with video topics and online testing:maths-for-all.co.uk/
dedicated to mathematics.Senior Lecturer in Mathematics at the University of Hertfordshire.
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