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Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It encompasses an extensive corpus of theoretical results as well as a large and rapidly-growing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, they are also less able to understand the mathematics of the numerical algorithms they need for applications. Certainly, the material presented in the average undergraduate course is insufficient for graduate study. This book is intended to fill the gap which has developed by providing enough theoretical and computational material to allow the advanced undergraduate or beginning graduate student to overcome this deficiency and be able to work independently or in advanced courses. The book is intended to be used either as a self-study guide, a textbook for a course in advanced linear algebra, or as a reference book. It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams.

Mô tả tài liệu:

The linear algebra a beginning graduate student ought to know / Jonathan S. Golan.- 3rd ed..- Dordrecht: Springer, 2012.- ix, 497 p. ; ill., ports, 24 cm – Includes index, 9789400726352.- 512.5/ G617

Số phân loại: 512.5/ G617

Nơi lưu trữ: FL-Tài liệu đọc-Tầng 3

Tóm tắt:

A semisimple introduction 

Mô tả tài liệu

Representing finite groups : A semisimple introduction / Ambar N. Sengupta.- New york: Springer, 2012.- xv, 371 p. ; ill., 25 cm, 9781461412304.- 512.23/ S474

Số phân loại: 512.23/ S474

Nơi lưu trữ: FL-Tài liệu đọc-Tầng 3

Tóm tắt:

The purpose of this expository monograph is three-fold. First, the solution of a problem posed by Wolfgang Krull in 1932 is presented. He asked whether what is now called the "Krull-Schmidt Theorem" holds for artinian modules. A negative answer was published only in 1995 by Facchini, Herbera, Levy and Vámos. Second, the answer to a question posed by Warfield in 1975, namely, whether the Krull-Schmidt-Theorem holds for serial modules, is described. Facchini published a negative answer in 1996. The solution to the Warfield problem shows an interesting behavior; in fact, it is a phenomenon so rare in the history of Krull-Schmidt type theorems that its presentation to a wider mathematical audience provides the third incentive for this monograph. Briefly, the Krull-Schmidt-Theorem holds for some, not all, classes of modules. When it does hold, any two indecomposable decompositions are uniquely determined up to one permutation. For serial modules the theorem does not hold, but any two indecomposable decompositions are uniquely determined up to two permutations.

Mô tả tài liệu:

Module theory : Endomorphism rings and direct sum decompositions in some classes of modules / Alberto Facchini.- Boston: Birkhauser, 2012.- xiii, 285 p., 24 cm ( Modern Birkhäuser Classics), 9783034803021.- 512.4/ F137

Số phân loại: 512.4/ F137

Nơi lưu trữ: FL-Tài liệu đọc-Tầng 3

Tóm tắt:

Nội dung sách đề cập đến tin học qua việc giảng dạy các phần mềm của Microsoft như: Word, Excel, Access

Mô tả tài liệu:

Microsoft Office 2000 thông qua hình ảnh : Word / Elicom.- Hà Nội: Thống Kê, 1999.- 336 tr..- 005.3/ M626w

Số phân loại: 005.3/ M626w

                               Nơi lưu trữ: VN-Tài liệu đọc-Tầng 2

Tóm tắt:

Statistical surveys represent an important source of scientific knowledge and a valid decision support tool in many fields, from social studies to economics, market research, health studies, and others. Scientists have tackled most of the methodological issues concerning surveys and the scientific literature offers excellent proposals for planning and conducting surveys. Nevertheless, surveys often require the achievement of aims that either deviate from the methodology or do not have a specific solution at all.

Mô tả tài liệu

Survey data collection and integration / Christina Davino, Luigi Fabbris, editors.- New York: Springer, 2013.- 167 p. ; ill., 24 cm, 9783642213076.- 001.433/ S963

Số phân loại: 001.433/S963

Nơi lưu trữ: FL-Tài liệu đọc-Tầng 3

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