電機機械精釋 (7版)

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書名：進修、教學：電機機械精釋 子敬 作者：子敬 出版社：超級科技 出版日期：2015/05/01 ISBN：9789579831208 內容簡介 本書兼具教學及進修的功能，內容著重觀念的建立、理論的探討及問題的解析。

Explorations in Numerical Analysis and Machine Learning with Julia (1版)

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【簡介】 The textbook is an expansion of Explorations in Numerical Analysis that includes new chapters covering topics from machine learning. It is intended for advanced undergraduate and early graduate students, with a focus on the connections between numerical analysis and machine learning.Topics covered include computer arithmetic, error analysis, solution of systems of linear equations by direct and iterative methods, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, partial differential equations, machine learning, classification, regression, and neural networks.Each problem is presented with derivations of solution techniques, analysis of their efficiency, accuracy and robustness, and detailed implementation using the Julia programming language. This book is suitable for a year-long course in numerical analysis, or for a one-semester course in numerical linear algebra (Part II) or machine learning (Part VI).

INTRODUCTION TO APPLIED NUMERICAL ANALYSIS, AN

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his book is based on lecture notes for a numerical analysis course designed mainly for senior undergraduate students majoring in mathematics, engineering, computer science and physical sciences. The book has two overarching goals. The first goal is to introduce different available numerical procedures for finding solutions to linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, differential equations, and error analysis. The second goal is to translate theory into practice through applying commonly used numerical methods in mathematics, physical sciences, biomedical sciences, and engineering. This book was crafted in an informal and user-friendly manner to motivate the study of the material being covered. Ample figures and numerical tables are presented to enhance the reader's ease of understanding of the material under consideration. Sample Chapter(s) Preface Chapter 7: Boundary Value Problems Contents: Preliminaries Solution of Linear System of Equations Roots of Nonlinear Equations Polynomial Approximation and Interpolation Differentiation and Integration Initial Value Problems Boundary Value Problems Partial Differential Equations Readership: Undergraduate students in Mathematics, Statistics, Physics, Engineering and Computer Science, biomedical, and any Course dealing with numerical calculations and computations.

NUMERICAL ANALYSIS (2版)

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【簡介】 Numerical Analysis, Second Edition, is a modern and readable text for the undergraduate audience. This book covers not only the standard topics but also some more advanced numerical methods being used by computational scientists and engineers—topics such as compression, forward and backward error analysis, and iterative methods of solving equations—all while maintaining a level of discussion appropriate for undergraduates. Each chapter contains a Reality Check, which is an extended exploration of relevant application areas that can launch individual or team projects. MATLAB® is used throughout to demonstrate and implement numerical methods. The Second Edition features many noteworthy improvements based on feedback from users, such as new coverage of Cholesky factorization, GMRES methods, and nonlinear PDEs. "synopsis" may belong to another edition of this title. 【目錄】 0. Fundamentals 1. Solving Equations 2. Systems of Equations 3. Interpolation 4. Least Squares 5. Numerical Differentiation and Integration 6. Ordinary Differential Equations 7. Boundary Value Problems 8. Partial Differential Equations 9. Random Numbers and Applications 10. Trigonometric Interpolation and the FFT 11. Compression 12. Eigenvalues and Singular Values