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Elementary Linear Algebra: Applications Version [Hardback]

3.82/5 (36 ratings by Goodreads)
  • Formāts: Hardback, 800 pages, height x width x depth: 258x223x30 mm, weight: 1491 g
  • Izdošanas datums: 04-Nov-2013
  • Izdevniecība: John Wiley & Sons Inc
  • ISBN-10: 1118434412
  • ISBN-13: 9781118434413
Citas grāmatas par šo tēmu:
  • Formāts: Hardback, 800 pages, height x width x depth: 258x223x30 mm, weight: 1491 g
  • Izdošanas datums: 04-Nov-2013
  • Izdevniecība: John Wiley & Sons Inc
  • ISBN-10: 1118434412
  • ISBN-13: 9781118434413
Citas grāmatas par šo tēmu:
Anton and Rorres present this alternative version of Anton's introductory linear algebra textbook with an extra chapter on applications. The primary text covers linear equations, matrices, and determinants, Euclidean vector spaces, Rn, and general vector spaces, eigenvalues and eigenvectors, inner product spaces, diagonalization and quadratic forms, general linear transformations, and numerical methods. The applications chapter contains twenty topics, including cubic spline interpolation, graph theory, game strategy, computer graphics, medical CT imaging, cryptography, genetics, and internet search engines, among others. Annotation ©2014 Book News, Inc., Portland, OR (booknews.com)

Anton's Elementary Linear Algebra continues to provide a strong recourse for readers due to his sound mathematics and clear exposition. This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation.

Chapter 5 Eigenvalues and Eigenvectors
291(54)
5.1 Eigenvalues and Eigenvectors
291(11)
5.2 Diagonalization
302(11)
5.3 Complex Vector Spaces
313(13)
5.4 Application: Differential Equations
326(6)
5.5 Application: Dynamical Systems and Markov Chains
332(13)
Chapter 6 Inner Product Spaces
345(56)
6.1 Inner Products
345(10)
6.2 Angle and Orthogonality in Inner Product Spaces
355(9)
6.3 Gram-Schmidt Process; QR-Decomposition
364(14)
6.4 Best Approximation; Least Squares
378(9)
6.5 Application: Mathematical Modeling Using Least Squares
387(7)
6.6 Application: Function Approximation; Fourier Series
394(7)
Chapter 7 Diagonalization and Quadratic Forms
401(46)
7.1 Orthogonal Matrices
401(8)
7.2 Orthogonal Diagonalization
409(8)
7.3 Quadratic Forms
417(12)
7.4 Optimization Using Quadratic Forms
429(8)
7.5 Hermitian, Unitary, and Normal Matrices
437(10)
Chapter 8 General Linear Transformations
447(44)
8.1 General Linear Transformations
447(11)
8.2 Compositions and Inverse Transformations
458(8)
8.3 Isomorphism
466(6)
8.4 Matrices for General Linear Transformations
472(9)
8.5 Similarity
481(10)
Chapter 9 Numerical Methods
491(36)
9.1 LU-Decompositions
491(10)
9.2 The Power Method
501(8)
9.3 Comparison of Procedures for Solving Linear Systems
509(5)
9.4 Singular Value Decomposition
514(7)
9.5 Application: Data Compression Using Singular Value Decomposition
521(6)
Chapter 10 Applications of Linear Algebra
527
10.1 Constructing Curves and Surfaces Through Specified Points
528(5)
10.2 The Earliest Applications of Linear Algebra
533(7)
10.3 Cubic Spline Interpolation
540(11)
10.4 Markov Chains
551(10)
10.5 Graph Theory
561(9)
10.6 Games of Strategy
570(9)
10.7 Leontief Economic Models
579(9)
10.8 Forest Management
588(7)
10.9 Computer Graphics
595(8)
10.10 Equilibrium Temperature Distributions
603(10)
10.11 Computed Tomography
613(11)
10.12 Fractals
624(15)
10.13 Chaos
639(13)
10.14 Cryptography
652(11)
10.15 Genetics
663(10)
10.16 Age-Specific Population Growth
673(10)
10.17 Harvesting of Animal Populations
683(8)
10.18 A Least Squares Model for Human Hearing
691(6)
10.19 Warps and Morphs
697(9)
10.20 Internet Search Engines
706
Appendix A Working with Proofs 1(4)
Appendix B Complex Numbers 5(8)
Answers to Exercises 13
Index 1