图书标签: 数学 分析 物理 数学分析 Analysis 计算机科学 数学-数学物理 数学-应用数学
发表于2024-11-08
Mathematical Analysis of Problems in the Natural Sciences pdf epub mobi txt 电子书 下载 2024
Vladimir A. Zorich is a distinguished Professor of Mathematics at the University of Moscow who solved the problem of global homeomorphism for space quasi-conformal mappings and provided its far-reaching generalizations. In Mathematical Analysis of Problems in Natural Sciences, he uses a lively and accessible style to unify three topics of analysis and physics, which are as follows: the dimensional analysis of physical quantities, which contains various applications including Kolmogorov's model for turbulence; functions of very large numbers of variables and the principle of concentration along with the non-linear law of large numbers, the geometric meaning of the Gauss and Maxwell distributions, and the Kotelnikov-Shannon theorem; and, finally, classical thermodynamics and contact geometry, which covers two main principles of thermodynamics in the language of differential forms, contact distributions, the Frobenius theorem and the Carnot-Caratheodory metric. This text corresponds to a two-semester course aimed at illustrating various interactions of "pure mathematics" with other sciences such as hydrodynamics, thermodynamics, statistical physics and information theory. It includes a nice set of problems and contains many historical remarks. It also contains an appendix featuring Zorich's popular article, "Mathematics as language and method." It is ideal for students and professors of mathematics and physics but is also relevant to chemists and biologists as well as engineers and researchers in various areas of the natural sciences.
Content Level » Upper undergraduate
Keywords » contact geometry - dimensional analysis of physical quantities - principle of concentration - thermodynamics - transmission of information - turbulence
Related subjects » Analysis - Applications - Geometry & Topology - Probability Theory and Stochastic Processes - Theoretical, Mathematical & Computational Physics
Vladimir A. Zorich is a distinguished Professor of Mathematics at the University of Moscow who solved the problem of global homeomorphism for space quasi-conformal mappings and provided its far-reaching generalizations.
写得好而且还写的薄的书真是业界良心!
评分写得好而且还写的薄的书真是业界良心!
评分写得好而且还写的薄的书真是业界良心!
评分写得好而且还写的薄的书真是业界良心!
评分写得好而且还写的薄的书真是业界良心!
这本书的第一章类似赵凯华老师的《定性和半定量物理》。 然后是第二章介绍相关高维数学的知识。 第三章是热力学知识。 简单的评价,第一章写得最好。 分析透彻,简介扼要,提纲挈领。 第二章,写的略微偏数学。 第三种,物理的部分比较多,数学不足。 但是整本书的思路非常...
评分这本书的第一章类似赵凯华老师的《定性和半定量物理》。 然后是第二章介绍相关高维数学的知识。 第三章是热力学知识。 简单的评价,第一章写得最好。 分析透彻,简介扼要,提纲挈领。 第二章,写的略微偏数学。 第三种,物理的部分比较多,数学不足。 但是整本书的思路非常...
评分这本书的第一章类似赵凯华老师的《定性和半定量物理》。 然后是第二章介绍相关高维数学的知识。 第三章是热力学知识。 简单的评价,第一章写得最好。 分析透彻,简介扼要,提纲挈领。 第二章,写的略微偏数学。 第三种,物理的部分比较多,数学不足。 但是整本书的思路非常...
评分这本书的第一章类似赵凯华老师的《定性和半定量物理》。 然后是第二章介绍相关高维数学的知识。 第三章是热力学知识。 简单的评价,第一章写得最好。 分析透彻,简介扼要,提纲挈领。 第二章,写的略微偏数学。 第三种,物理的部分比较多,数学不足。 但是整本书的思路非常...
评分这本书的第一章类似赵凯华老师的《定性和半定量物理》。 然后是第二章介绍相关高维数学的知识。 第三章是热力学知识。 简单的评价,第一章写得最好。 分析透彻,简介扼要,提纲挈领。 第二章,写的略微偏数学。 第三种,物理的部分比较多,数学不足。 但是整本书的思路非常...
Mathematical Analysis of Problems in the Natural Sciences pdf epub mobi txt 电子书 下载 2024