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Matrices and Linear Algebra (Dover Books on Mathematics),New
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Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it.This wellknown and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related topics such as determinants, eigenvalues, and differential equations.Table of Contents:l. The Algebra of Matrices2. Linear Equations3. Vector Spaces4. Determinants5. Linear Transformations6. Eigenvalues and Eigenvectors7. Inner Product Spaces8. Applications to Differential EquationsFor the second edition, the authors added several exercises in each chapter and a brand new section in Chapter 7. The exercises, which are both truefalse and multiplechoice, will enable the student to test his grasp of the definitions and theorems in the chapter. The new section in Chapter 7 illustrates the geometric content of Sylvester's Theorem by means of conic sections and quadric surfaces. 6 line drawings. lndex. Two prefaces. Answer section.
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- Q: What topics are covered in 'Matrices and Linear Algebra'? A: The book covers various topics including the algebra of matrices, linear equations, vector spaces, determinants, linear transformations, eigenvalues and eigenvectors, inner product spaces, and applications to differential equations.
- Q: Who is the target audience for this book? A: This book is primarily aimed at undergraduate students in fields such as physics, engineering, economics, and other disciplines that require knowledge of linear algebra.
- Q: Is this book suitable for beginners? A: Yes, the text is designed to be accessible to undergraduates with little mathematical experience, making it suitable for beginners.
- Q: What is the edition and publication date of this book? A: This is the 2nd revised edition of 'Matrices and Linear Algebra,' published on June 1, 1989.
- Q: Does the book include exercises or practice problems? A: Yes, the second edition includes several exercises in each chapter, including true-false and multiple-choice questions to help students test their understanding.
- Q: Are there any illustrations or diagrams in the book? A: Yes, the book contains six line drawings that help illustrate key concepts.
- Q: What is the format and condition of the book? A: The book is available in paperback format and is in new condition.
- Q: How many pages does 'Matrices and Linear Algebra' have? A: The book consists of 432 pages.
- Q: Who is the author of this book? A: The author of 'Matrices and Linear Algebra' is Hans Schneider.
- Q: What is the significance of the geometric content added in the second edition? A: The new section in Chapter 7 illustrates the geometric content of Sylvester's Theorem using conic sections and quadric surfaces, enhancing the understanding of the material.