# Role of mathematics

Xem 1-20 trên 75 kết quả Role of mathematics
• ### HELPING CHILDREN LEARN MATHEMATICS

Today the United States has the challenge and the opportunity to provide all students with the mathematical knowledge, skills, and confidence they will need in a highly technical world. There is considerable nationwide interest in improving students’ understanding of mathematics, combined with an emerging consensus about the essential elements of mathematics instruction; in addition, research has provided valuable insights into how children learn. Together these factors are opening the way to substantial and enduring progress in school mathematics....

• ### Reshaping School Mathematics: A Philosophy and Framework for Curriculum

The United States must restructure mathematics education--both what is learned and the way it is taught--if children are to develop the mathematical knowledge and skills they will need to be personally and professionally competent in the twenty-first century. Joining the recent reports that have opened a national dialogue on these issues, Reshaping School Mathematics focuses discussion on essential ideas that transcend details of current curricula or assessment results.

• ### Mathematical Methods in Science and Engineering by Selcuk Bayin Jul 18, 2006

Clearly and elegantly presented, Mathematical Methods in Science and Engineering provides a coherent treatment of mathematical methods, bringing advanced mathematical tools to a multidisciplinary audience. The growing interest in interdisciplinary studies has brought scientists from many disciplines such as physics, mathematics, chemistry, biology, economics, and finance together, which has increased the demand for courses in upper-level mathematical techniques.

• ### THE AMERICAN MATHEMATICAL MONTHLY VOLUME 105

The curriculum vitae of Alice Turner Schafer lists two specializations: abstract algebra (group theory) and women in mathematics. As early as her high school years Alice exhibited a love for mathematics and an interest in teaching as a career. As a mathematics educator she championed the full participation of women in mathematics.

• ### Đề tài " The equivariant GromovWitten theory of P1 "

We present here the second in a sequence of three papers devoted to the Gromov-Witten theory of nonsingular target curves X. Let ω ∈ H2(X,Q) denote the Poincar´e dual of the point class. In the first paper [24], we considered the stationary sector of the Gromov-Witten theory of X formed by the descendents of ω. The stationary sector was identified in [24] with the Hurwitz theory of X with completed cycle insertions. The target P1 plays a distinguished role in the Gromov-Witten theory of target curves.

• ### Đề tài " Higher composition laws III: The parametrization of quartic rings "

In the ﬁrst two articles of this series, we investigated various higher analogues of Gauss composition, and showed how several algebraic objects involving orders in quadratic and cubic ﬁelds could be explicitly parametrized. In particular, a central role in the theory was played by the parametrizations of the quadratic and cubic rings themselves. These parametrizations are beautiful and easy to state.

• ### Đề tài " A new application of random matrices: Ext(C red(F2)) is not a group "

Dedicated to the memory of Gert Kjærg˚ Pedersen ard Abstract In the process of developing the theory of free probability and free entropy, Voiculescu introduced in 1991 a random matrix model for a free semicircular system. Since then, random matrices have played a key role in von Neumann algebra theory (cf. [V8], [V9]). The main result of this paper is the follow(n) (n) ing extension of Voiculescu’s random matrix result: Let (X1 , . . . , Xr ) be a system of r stochastically independent n × n Gaussian self-adjoint random matrices as in Voiculescu’s random matrix paper...

• ### Mathematical Methods in Image Reconstruction

.Mathematical Methods in Image Reconstruction .S1AM Monographs on Mathematical Modeling and Computation About the Series In 1997, SIAM began a new series on mathematical modeling and computation.

• ### Software Solutions for Engineers and Scientists by Julio Sanchez and Maria P. Canton

Software requirements for engineering and scientific applications are almost always computational and possess an advanced mathematical component. However, an application that calls for calculating a statistical function, or performs basic differentiation of integration, cannot be easily developed in C++ or most programming languages. In such a case, the engineer or scientist must assume the role of software developer.

• ### The Future of U.S. Chemistry Research: Benchmarks and Challenges

Chemistry plays a key role in conquering diseases, solving energy problems, addressing environmental problems, providing the discoveries that lead to new industries, and developing new materials and technologies for national defense and homeland security. However, the field is currently facing a crucial time of change and is struggling to position itself to meet the needs of the future as it expands beyond its traditional core toward areas related to biology, materials science, and nanotechnology....

• ### CHROMATOGRAPHY AND ITS APPLICATIONS

The third part of the book is dedicated to analysis of role of DNA methylation in cancer. According to the American Cancer Association, nearly 13% of all deaths worldwide are cancer related. Aberrant DNA methylation patterns is likely to play a causative role in cancer initiation and development. The first chapter is dedicated to investigation of DNA methylation role in the development of hepatocellular carcinoma associated with tyrosinemia.

• ### Đề tài " Higher composition laws I: A new view on Gauss composition, and quadratic generalizations "

Two centuries ago, in his celebrated work Disquisitiones Arithmeticae of 1801, Gauss laid down the beautiful law of composition of integral binary quadratic forms which would play such a critical role in number theory in the decades to follow. Even today, two centuries later, this law of composition still remains one of the primary tools for understanding and computing with the class groups of quadratic orders. It is hence only natural to ask whether higher analogues of this composition law exist that could shed light on the structure of other algebraic number rings and ﬁelds. ...