ScienceAsia 1 (1975): 245-248 |doi: 10.2306/scienceasia1513-1874.1975.01.245

MATHEMATICS:
ADVANCED MATHEMATICS

Nardtida Achava-amrung

Summary:
           This book was written as the text for a course in Advanced Mathematics in the Mathematics Department, Faculty of Science, Chulalongkorn University. But the author hoped that it would also be useful to any student or interested person. The book consists of six chapters in the following order: Vector Analysis, Integral Theorems and Transformations, Series of Functions, Functions Defined From Integrals, Orthogonal Functions and Linear Algebra.

          The first chapter is more elementary than advanced. Most of the proofs are done geometrically in two or three dimensions. It should also have been noted that directed line segments is only one representation of vectors and that the statements still hold true for n-dimensional space.

          The author gave an admirable effort to write an all-Thai textbook. It is regret table that this tends to be more confusing than helpful The definitions become ambiguous and difficult to understand.

          The following four chapters are generalIy quite well-written. They are easy to understand and contain enough materifils to give a clear idea of what it is all about. If the theorems are given proofs or at least some comments as to the how and the why, these chapters would be excellent. The last chapter would be more appropriately called, "Matrices and Determinants". I could not help feeling that there is more to Linear Algegra than these two.

          Overall, the book is recommended for those using mathematical applications such as engineers, and physicists .

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Thai Watana Panich, Bangkok, 1974, in Thai, pp. 349, 68 baht.

SURAWIT KONGSASNA