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Home > Mathematics and Science Textbooks > Mathematics > Algebra > Linear Algebra: A Problem-Centered Approach(Pure and Applied Undergraduate Texts)
Linear Algebra: A Problem-Centered Approach(Pure and Applied Undergraduate Texts)

Linear Algebra: A Problem-Centered Approach(Pure and Applied Undergraduate Texts)


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About the Book

This textbook invites readers to dive into the mathematical ideas of linear algebra. Offering a gradual yet rigorous introduction, the author illuminates the structure, order, symmetry, and beauty of the topic. Opportunities to explore, master, and extend the theory abound, with generous exercise sets embodying the Hungarian tradition of active problem-solving. Determinants, matrices, and systems of linear equations begin the book. This unique ordering offers insights from determinants early on, while also admitting re-ordering if desired. Chapters on vector spaces, linear maps, and eigenvalues and eigenvectors follow. Bilinear functions and Euclidean spaces build on the foundations laid in the first half of the book to round out the core material. Applications in combinatorics include Hilbert's third problem, Oddtown and Eventown problems, and Sidon sets, a favorite of Paul Erdos. Coding theory applications include error-correction, linear, Hamming, and BCH codes. An appendix covers the algebraic basics used in the text. Ideal for students majoring in mathematics and computer science, this textbook promotes a deep and versatile understanding of linear algebra. Familiarity with mathematical proof is assumed, though no prior knowledge of linear algebra is needed. Supplementary electronic materials support teaching and learning, with selected answers, hints, and solutions, and an additional problem bank for instructors.

Table of Contents:
Determinants Matrices Systems of linear equations Vector spaces Linear maps Eigenvalue, minimal polynomial Bilinear functions Euclidean spaces Combinatorial applications Codes Basic algebra Index

About the Author :
Robert Freud, University Eotvos Lorand, Budapest, Hungary


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Product Details
  • ISBN-13: 9781470477363
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Height: 254 mm
  • No of Pages: 305
  • Sub Title: A Problem-Centered Approach
  • ISBN-10: 147047736X
  • Publisher Date: 31 Dec 2024
  • Binding: Paperback
  • Language: English
  • Series Title: Pure and Applied Undergraduate Texts
  • Width: 178 mm


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Linear Algebra: A Problem-Centered Approach(Pure and Applied Undergraduate Texts)
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