Computer methods for science and engineering
Computer methods for science and engineering
复制标题
科学与工程计算机方法
DOI：
10.2307/3615992
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发表时间：
1974
期刊：
影响因子：
--
通讯作者：
R. Lafara
中科院分区：
文献类型：
--
作者：
A. T. F. Nice;R. Lafara
当他正在处理一个新的教学大纲时，他无疑会发现他必须广泛地进行解释。大约六年前，新成立的工程学院理事会要求审稿人教授第61卷（数学）教学大纲的数值分析部分，当时审稿人就处于这种情况。如果当时有这本书就好了！这本书延续了我们对麦格劳-希尔书籍的高标准期望，读起来很愉快。可以自信地将这本书推荐给所有从事理学学士学位工作的人。荣誉。多项式零点、插值、正交多项式、微分、积分、级数求和、线性方程组的解、代数特征值问题、常微分方程和偏微分方程、非线性方程组的解和最优化等常见主题都得到了深入的处理。首次汇集了大量新材料：诸如区间分析、D. H. Lehmer 求多项式复数根的方法、切比雪夫、勒让德、拉盖尔和埃尔米特多项式、多维超立方体积分、Rutihauser 的矩阵特征值 I^R 方法以及优化章节中的斐波那契搜索方法、弗莱彻和鲍威尔以及罗森布罗克的方法。有关于函数逼近和蒙特卡罗方法的简短章节。每章末尾都给出了参考书目（包括原始论文的参考文献）。这本书的一个非常受欢迎的特点是作者在真实分析、复杂分析和数值分析之间自由切换的方式。每一页都充满趣味、新鲜感和多样性。编者在序言的最后写道：“坐在智者的脚下，我们受益匪浅，我们希望通过这本书，能够将他们的火花传递给我们所有的读者。”他们肯定至少为他们的一位读者做到了这一点。手头的副本是软封本。可惜一本好书却得不到与其内容相符的装订。 G.D.DAVTES 伯明翰城市理工学院
he is dealing with a new syllabus, he will undoubtedly find that he has to range far and wide in making his interpretation. The reviewer was in this situation on being asked to teach the numerical analysis section of the syllabus of Paper 61 (Mathematics) of the newly formed Council of Engineering Institutions some six years ago. If only the present book had been available then! This book continues the high standard we have come to expect of McGraw-Hill books and is a pleasure to read. The book can be confidently recommended for everyone working at the level of B.Sc. Honours. The usual topics of zeros of polynomials, interpolation, orthogonal polynomials, differentiation, integration, series summation, solution of linear systems of equations, algebraic eigenvalue problem, ordinary and partial differentiation equations, solutions of non-linear systems of equations and optimisation are all thoroughly treated. A considerable amount of new material has been brought together for the first time: topics such as interval analysis, the method of D. H. Lehmer for finding the complex roots of polynomials, Chebyshev, Legendre, Laguerre and Hermite polynomials, integration over a multi-dimensional hypercube, Rutihauser's I^R method for eigenvalues of matrices and, in the chapter on optimisation, the method of Fibonacci search, the method of Fletcher and Powell, and Rosenbrock's method. There are short chapters on function approximation and on Monte Carlo methods. A bibliography (including references to original papers) is given at the end of each chapter. A very welcome feature of the book is the way the authors move freely between real, complex and numerical analysis. There is interest, freshness and variety on every page. At the end of the preface the editor, who wrote seven of the fourteen chapters, writes: "We have benefited much by sitting at the feet of the wise, and we hope that through this book, it may be possible to transmit a spark from their fire to all our readers." This they have certainly done for at least one of their readers. The copy to hand is in soft-back. What a pity it is that a good book cannot receive the binding to match its contents. G. D. DAVTES City of Birmingham Polytechnic