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Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3031518225
Category :
Languages : en
Pages : 694
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Book Description
Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3031518225
Category :
Languages : en
Pages : 694
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Book Description
Author: Marie-Paule Malliavin
Publisher: Springer
ISBN: 3540396284
Category : Mathematics
Languages : en
Pages : 427
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 704
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Book Description
Author: Belkacem Said-Houari
Publisher: Birkhäuser
ISBN: 3319637932
Category : Mathematics
Languages : en
Pages : 393
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Book Description
This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs. The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing the necessary concepts of eigenvalues and eigenvectors, as well as the theory of symmetric and orthogonal matrices. Each idea presented is followed by examples. The book includes a set of exercises at the end of each chapter, which have been carefully chosen to illustrate the main ideas. Some of them were taken (with some modifications) from recently published papers, and appear in a textbook for the first time. Detailed solutions are provided for every exercise, and these refer to the main theorems in the text when necessary, so students can see the tools used in the solution.
Author:
Publisher: TheBookEdition
ISBN:
Category :
Languages : en
Pages : 142
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Book Description
Author: Joao P. Ponte
Publisher: Springer Science & Business Media
ISBN: 3642581420
Category : Computers
Languages : en
Pages : 361
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Book Description
A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW "Information Technology and Mathematical Problem Solving Research", held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a "chaotic field" in which progress has been quite slow.
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 502
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Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 90
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2040
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Book Description
Author: M.P. Malliavin
Publisher: Springer
ISBN: 3540387374
Category : Mathematics
Languages : en
Pages : 484
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Book Description
