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.
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
發表於2024-12-23
Mathematical Analysis of Problems in the Natural Sciences 2024 pdf epub mobi 電子書 下載
這本書的第一章類似趙凱華老師的《定性和半定量物理》。 然後是第二章介紹相關高維數學的知識。 第三章是熱力學知識。 簡單的評價,第一章寫得最好。 分析透徹,簡介扼要,提綱挈領。 第二章,寫的略微偏數學。 第三種,物理的部分比較多,數學不足。 但是整本書的思路非常...
評分這本書的第一章類似趙凱華老師的《定性和半定量物理》。 然後是第二章介紹相關高維數學的知識。 第三章是熱力學知識。 簡單的評價,第一章寫得最好。 分析透徹,簡介扼要,提綱挈領。 第二章,寫的略微偏數學。 第三種,物理的部分比較多,數學不足。 但是整本書的思路非常...
評分這本書的第一章類似趙凱華老師的《定性和半定量物理》。 然後是第二章介紹相關高維數學的知識。 第三章是熱力學知識。 簡單的評價,第一章寫得最好。 分析透徹,簡介扼要,提綱挈領。 第二章,寫的略微偏數學。 第三種,物理的部分比較多,數學不足。 但是整本書的思路非常...
評分這本書的第一章類似趙凱華老師的《定性和半定量物理》。 然後是第二章介紹相關高維數學的知識。 第三章是熱力學知識。 簡單的評價,第一章寫得最好。 分析透徹,簡介扼要,提綱挈領。 第二章,寫的略微偏數學。 第三種,物理的部分比較多,數學不足。 但是整本書的思路非常...
評分這本書的第一章類似趙凱華老師的《定性和半定量物理》。 然後是第二章介紹相關高維數學的知識。 第三章是熱力學知識。 簡單的評價,第一章寫得最好。 分析透徹,簡介扼要,提綱挈領。 第二章,寫的略微偏數學。 第三種,物理的部分比較多,數學不足。 但是整本書的思路非常...
圖書標籤: 數學 分析 物理 數學分析 Analysis 計算機科學 數學-數學物理 數學-應用數學
寫得好而且還寫的薄的書真是業界良心!
評分寫得好而且還寫的薄的書真是業界良心!
評分寫得好而且還寫的薄的書真是業界良心!
評分寫得好而且還寫的薄的書真是業界良心!
評分寫得好而且還寫的薄的書真是業界良心!
Mathematical Analysis of Problems in the Natural Sciences 2024 pdf epub mobi 電子書 下載