Radożycki T Solving Problems in Math Analysis Part 2 2020 torrent

Textbook in PDF format

This textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis.
Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work.
Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.
Table of contents
Exploring the Riemann and Definite Integral
Examining Improper Integrals
Applying One-Dimensional Integrals to Geometry and Physics
Dealing with Functions of Several Variables
Investigating Derivatives of Multivariable Functions
Examining Higher Derivatives, Differential Expressions, and Taylor’s Formula
Examining Extremes and Other Important Points
Examining Implicit and Inverse Functions
Solving Differential Equations of the First Order
Solving Differential Equations of Higher Orders
Solving Systems of First-Order Differential Equations
Integrating in Many Dimensions
Applying Multidimensional Integrals to Geometry and Physics