This text is suitable for physicists, engineers, mathematicians, and students in higher mathematics. Finally, the geometrical approach to the concept of a number is reviewed. This book further discusses the basic theory of infinite series, applications to approximate evaluations, Taylor's formula, and its extension. The application of definite integrals in the calculation of area of a sector, the length of arc, and the calculation of the volumes of solids of a given cross-section are explained.
This text then notes the basic problems involving integral calculus, particularly regarding indefinite integrals and their properties. For example, the equations to determine the differential of arc or the parameters of a curve are shown. This book also examines the applications of differential calculus to geometry. Smirnov,Course of Higher Mathematics, Vol.
The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. Raevskii, Mathematical investigation of a class of problems in electrostatics and magnetostatics. smirnov-a-course-of-higher-mathematics-vol-3-1-linear-algebra Identifier-ark ark:/13960/t6b40g40h Ocr tesseract 5.0.0-beta-20210815 Ocrautonomous true Ocrdetectedlang en Ocrdetectedlangconf 1.0000 Ocrdetectedscript Latin Ocrdetectedscriptconf 0.9950 Ocrmoduleversion 0.0.13 Ocrparameters-l eng+Latin Pagenumberconfidence 97.31 Ppi. This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables.
A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R.
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