Mathematical Analysis II is to present an array of topics in Calculus, and conceptually follow our previous effort Mathematical Analysis I. This edition also focus on standard and concerns real function of variables. The present material is partly found, in fact, in the syllabus of the typical second lecture course in Calculus as offered in most Italian universities.
The authors try to cover a wide range of subjects, to the number of programme specifications, to the amount of contents and course. Allowing this reasons the readers will getting easier to understanding in Calculus course. To remind or to recall the chapters more is independent from one another, so the readers will interested in this book.
By clearly explanation of the results that are merely did not start with proof the book, also useful additional material. Claudio Canuto and Anita Tabacco, authors of Mathematical Analysis, have completely omitted the proof book with technical aspect prevail over the fundamental and very useful ideas. A big number of problems and exercises are according to the main course of calculus to summary all lesson to be short and full main. This book can help the students, including engineering students and math students, to solve all problem in proof the course.
The solution to all exercises is provided, and very often the procedure for solving is outlined. So enjoy the best book of calculus book.
Summary Contents of Mathematical Analysis II
- Mumerical series
- Series of functions and power series
- Fourier series
- Functions between Euclidean space
- Differential calculus for scalar functions
- Differential calculus for vector-valued functions
- Applying differential calculus
- Integral calculus in several variables
- Integral calculus on curves and surfaces
- Ordinary differential equations
- Index
