Математический анализ

This lecture introduces surface integrals, extending integration from curves to two-dimensional surfaces. Two main types are covered: scalar surface integrals for functions like mass density, and…

This practical session focuses on applying surface integral concepts through hands-on problem-solving. Students work through seven problems covering scalar surface integrals, surface area calcul…

This lecture introduces functions of several variables, explaining the roles of independent and dependent variables, domain, and range. It covers methods for visualizing such functions, including…

This practical class reinforces theoretical concepts through hands-on problem-solving. The session focuses on three key skills: finding domains of definition for functions with square roots, loga…

This lecture explores differentiability for functions of several variables. It begins by defining first-order partial derivatives, explaining that to compute them, all other variables are treated…

This practical class develops skills in differentiating functions of several variables. Students learn to compute first-order partial derivatives by treating all variables except one as constants…

This practical class consolidates key concepts from the first two lectures. Students practice finding domains of definition by solving inequalities involving square roots, logarithms, and inverse…

Это практическое занятие посвящено отработке техники интегрирования элементарных функций. Занятие разделено на три части с возрастающей сложностью. В первой части рассматриваются интегралы от мн…

Это практическое занятие посвящено методу подведения под знак дифференциала. В отличие от предыдущего занятия, где рассматривалась только линейная замена, здесь изучается работа с произвольными ф…

Учебник отличается систематическим и строгим изложением основ математического анализа. Материал излагается в логической последовательности и сопровождается примерами, облегчающими процесс усвоени…

Discover the properties and real-world applications of the Fibonacci and the Catalan numbers With clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction of…

The book is devoted to the problem of solving some indeterminate equations. It is known that at present the search for an elementary solution to Fermat's Last Theorem has been unsuccessful and ca…

A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mat…

Praise for the First Edition «. . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity.»—Computing Reviews «. . . a very well wri…

Explores the development of the ellipse and presents mathematical concepts within a rich, historical context The Ellipse features a unique, narrative approach when presenting the development of t…

A provocative look at the tools and history of real analysis This new edition of Real Analysis: A Historical Approach continues to serve as an interesting read for students of analysis. Combining…

A concise, easily accessible introduction to descriptive and inferential techniques Statistical Inference: A Short Course offers a concise presentation of the essentials of basic statistics for r…

Presents a useful new technique for analyzing the extreme-value behaviour of random fields Modern science typically involves the analysis of increasingly complex data. The extreme values that eme…

Цель издания – разъяснение основных математических понятий, необходимых в работе психолога. Книга состоит из четырех разделов: линейная алгебра и аналитическая геометрия; математический анализ; т…

An exciting approach to the history and mathematics of number theory “. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” —Mathematical R…