Cover of “Mathematics”

Mathematics

учебник

I. V. Pavlushkov, L. V. Rozovsky, I. A. Narkyevich

  • ГЭОТАР-Медиа
  • 2021
  • 320 pages

Medical subjects

$14$9−36%
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The textbook corresponds to the curriculum of the Mathematics discipline in pharmaceutical and medical higher educational institutions, based on the Federal State Educational Standard for Higher Professional Education of the Third Generation. The textbook presents a course of mathematics that includes basic elementary functions, differential calculus of functions of one variable, elements of differential calculus of multiple variable functions, integral calculus of one variable functions, differential equations of the first and second order, fundamentals of probability theory and mathematical statistics. In the textbook, there are detailed explanations of theoretical material and a large number of examples and issues fully explained. It is intended for undergraduate and postgraduate students of medical and pharmaceutical universities, doctors, pharmacists and individuals, who study mathematics and mathematical statistics by themselves.

  1. 01Introduction
  2. 02Chapter 1. Introduction to mathematical analysis
    1. 1.1. Functions
    2. 1.2. Limits
    3. 1.3. Function continuity
  3. 03Chapter 2. Differential calculus
    1. 2.1. Function derivative
    2. 2.2. Diff erential of function
    3. 2.3. Derivative applications
    4. 2.4. Application of the derivative: curve sketching
  4. 04Chapter 3. Two variable function
    1. 3.1. The concept of the two variable function
    2. 3.2. Domain of function
    3. 3.3. Partial derivatives and total diff erential
    4. 3.4. Higher-order derivatives and diff erentials
  5. 05Chapter 4. Indefinite integral
    1. 4.1. The simplest methods of integration
  6. 06Chapter 5. Definite integral
    1. 5.1. The concept of a defi nite integral
    2. 5.2. Properties of the defi nite integral
    3. 5.3. Newton-Leibniz formula
    4. 5.4. Methods for defi nite integrals calculation
    5. 5.5. Improper integrals
    6. 5.6. Geometric applications of defi nite integrals
  7. 07Chapter 6. Differential equations
    1. 6.1. Basic concepts and defi nitions
    2. 6.2. First-order diff erential equations
    3. 6.3. Second-order diff erential equations
  8. 08Chapter 7. Fundamentals of the probability theory
    1. 7.1. Random events and their probabilities
    2. 7.2. Random values and their distribution laws
  9. 09Chapter 8. Elements of mathematical statistics
    1. 8.1. Method of sampling
    2. 8.2. Estimates of distribution characteristics from samples of data
    3. 8.3. Least square method and smoothing experimental dependences
    4. 8.4. Elements of correlation and regressive analysis
    5. 8.5. Testing statistical hypotheses
    6. 8.6. Time series. Basic concepts
  10. 10Chapter 9. Introduction to the mass service theory. Erlang formulas
  11. 11Answers for self-study problems
    1. Chapter 1
    2. Chapter 2
    3. Chapter 3
    4. Chapter 4
    5. Chapter 5
    6. Chapter 6
    7. Chapter 7
    8. Chapter 8
  12. 12Appendices. Statistical tables
    1. Appendix 1
    2. Appendix 2
    3. Appendix 3
    4. Appendix 4
  13. 13Bibliography

$14$9−36%