![]() ![]() INVESTIGATING THE BEHAVIOUR OF FUNCTIONSĥ.2 Increase and decrease of a function 156ĥ.4 Testing a differentiable function for maximum and minimum with a first derivative 164ĥ.5 Testing a function for maximum and minimum with a second derivative 166ĥ.6 Maximum and minimum of a function on an interval 170ĥ.7 Applying the theory of maxima and minima of functions to the solution of problems 171ĥ.8 Testing a function for maximum and minimum by means of Taylor’s formula 173ĥ.9 Convexity and concavity of a curve. ![]() DERIVATIVE AND DIFFERENTIALģ.3 Geometric meaning of the derivative 69ģ.5 The derivative of the function y=x^, sin x, and cos x in a Taylor series 149ĬHAPTER 5. Bounded functions 35Ģ.4 Infinitesimals and their basic properties 39Ģ.6 The limit of the function sin x / x as x → 0 46Ģ.10 Certain properties of continuous functions 57Įxercises on Chapter 2 61 CHAPTER 3. An infinitely large variable 29Ģ.3 A function that approaches infinity. CONTINUITY OF A FUNCTIONĢ.1 The limit of a variable. Elementary functions 20Įxercises on Chapter 27 CHAPTER 2. Bounded Variables 16ġ.8 Basic elementary functions. Real numbers as points on a number scale 11ġ.2 The absolute value of a real number 12ġ.5 Ordered variables. Volume 2 here Contents Volume 1 CHAPTER I. for donating the two volume set for scanning (I only had the one volume version) and for making them available.Ĭredits to original uploaders the French, Spanish and Portuguese versions. We have earlier seen the one volume version. The books were translated from the Russian by George Yankovsky and published by Mir in 2 volume format in 1981 as Fourth reprint. There are numerous examples and problems in each section of the course many of them demonstrate the ties between mathematics and other senses making the book useful for self study is a textbook for higher technical schools that has gone through several editions in Russian and also has been translated into French and Spanish and Portuguese. The second volume dealing with the following topics: Differential Equations, Multiple Integrals, Line and Surface Integrals, Series, Fourier Series, The Equations of Mathematical Physics, Operational Calculus and Certain of its Applications, Elements of the Theory of Probability and Mathematical Statistics, Matrices. The first volume dealing with the following topics: Number, Variable, Function, Limit, Continuity of a Function, Derivative and Differential, Certain Theorems on Differentiable Functions, The Curvature of a Curve, Complex Numbers, Polynomials, Functions of Several Variables, Applications of Differential Calculus to Solid Geometry, The Indefinite Integral, The Definite Integral, Mechanical Applications of the Definite Integral. ![]() This edition revised and last published in two volumes Text book by the late professor Nikolai Piskunov DSs (Physics and Maths) is devoted to the most important divisions of higher mathematics. In this post, we will see the much awaited two volume set Differential and Integral Calculus by N. ![]()
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