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zeldovich y yaglom i higher maths beginners 1987

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Textbook in PDF format This book is the joint attempt of a physicist and a mathematician to write an entirely new type of book for future scientists and engineers. This calls for a few words about its purpose and scientific ideology. Many physicists, as is known, are displeased with the presentation of the basics of mathematical analysis that was introduced by mathematicians in the first half of the 20th century. The reasons are understandable. The development of mathematical research connected with the elaboration of the logical foundations of our science left its imprint on the style of presentation even of the very first chapters of textbooks for beginners. Exact definitions of such concepts as a real number, limit, and continuity were the result of a prolonged and very nontrivial logical analysis of theories that were already created and were intuitively clear (on the scientific level of rigor). These definitions, which are not at all simple for the beginner, same to be used in the wrong context. Textbooks presented them before any explanation was given of the theory and its applications, thereby complicating an understanding of things that were intuitively clear. Elements of Higher Mathematics Functions and Graphs What is a derivative? What is an integral? Calculation of derivatives Integration Techniques Series, Simple Differential Equations Investigation of Functions, Some Problems of Geometry Higher Math Applied to Problems of Engineering and Physics Radioactive Decay and Nuclear Fission Mechanics Oscillations The Thermal Motion of Molecules. The Distribution of Air Density in Atmosphere Absorption and Emission of Light. Lasers Electric Circuits and Oscillatory Phenomena In Them Some Additional Topics Complex Numbers Functions The Physicist Needs Dirac’s Remarkable Delta Functions Applying Functions of a Complex Variable and The Delta Functions Conclusion: What Next Selected Readings Appendices Hints, Answers and Solutions Name Index Subject Index

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Zeldovich Y., Yaglom I. Higher Maths for Beginners 1987.pdf 19.8 MB

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zeldovich y yaglom i higher maths beginners 1987

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