Kolmogorov - Mathematics. Its content, methods and meaning. Volume 1 ().pdfEven charting simple tables goes a long way. Another thing you have going for yourself is - you can basically skip high school math and jump right in for the good stuff. Just from a search, there are some great results: 1. Mathematics: Its Content, Methods and Meaning Containing the thoughts and direction of numerous mathematicians including Kolmogorov, this is a great survey of the field of mathematics. Concrete Mathematics: A Foundation for Computer Science Containing the thoughts and direction of mathematician and computer scientists such as Donald Knuth, this is a great reference for computer science related mathematical concepts focusing on continuous and discrete concepts.
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Genres: Mathematics. Mathematics, which originated in antiquity in the needs of daily life, has developed into an immense system of widely varied disciplines. Like the other sciences, it reflects the laws of the material world around us and serves as a powerful instrument for our knowledge and mastery of nature.
Kolmogorov - Mathematics. Its content, methods and meaning. Volume 1 (1963).pdf
The Basic Library List Committee strongly recommends this book for acquisition by undergraduate mathematics libraries. In Part I in two parts a it follows a trajectory from general themes in analysis to analytic geometry, the theory of algebraic equations, and ODE. Well, the whole book is peppered with Russian or Soviet — see below luminaries: Delone, Sobolev, Ladyzenskaya, Postnikov, and Faddeev, to name a few in addition to the aforementioned. Thus, the book under review is a compendium of rather beefy survey articles written by long-ball hitters in their fields, playing in the Soviet Union in the late s, well before the empire crumbled. In any event, Party leaders and apparatchiks aside, as far as the book proper is concerned, my favorite part is Part III, where, on, page 30, a cool discussion by Steckin of the Lebesgue integral is given, replete with the y-axis being sliced up, and where on pp. Perhaps it is precisely under such circumstances that mastery shines through most remarkably.
Add to Wishlist. By: M. Aleksandrov , A. Book Reg. Nothing less than a major contribution to the scientific culture of this world. It is the best answer in print to what mathematics contains both on the elementary and advanced levels. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable.