Mathematical Analysis

- Preface

- Differential calculus

- The integral calculus

- Curves and differential forms

- Holomorphic functions

- Surfaces and level sets

- Systems of ordinary differential equations

- Appendix A: Mathematicians and other scientists

- References

- Index

From the reviews:



"This is a comprehensive introduction to the study of functions of several variables that includes several areas not commonly included in comparable textbooks. ... The Current book has a generally broader scope ... . There is a huge amount of mathematics here, presented carefully and with style. ... The treatment of holomorphic functions here is nicely done ... . In the end, I find that this text would be an agreeable source for most of its individual topics ... ." (William J. Satzer, The Mathematical Association of America, August, 2009)

"This is a classical textbook on functions of several variables. On 348 pages it covers the content of a graduate course of mathematical analysis devoted to the higher dimensional spaces. ... The textbook is suitable for students of mathematics, physics, engineering and technology, as well as for researchers." (Vladimír JaniS, Zentralblatt MATH, Vol. 1177, 2010)

"This is a part of an ampler project of the authors ... . The applications and the examples included in the book make it more attractive. There are also exercises at the end of each chapter. ... will supply the reader with a fairly complete account of the fundamental results in mathematical analysis and applications, including Lebesgue integration in Rn and complex analysis of one variable. ... can be used for courses in real or complex analysis and their applications." (Tiberiu Trif, Studia Universitatis Babes-Bolyai, Mathematica, Vol. LV (4), December, 2010)

"This is a textbook on analysis of functions of several real variables and of functions of one complex variable. ... The book is concise and nicely written and may well serve as source for (graduate) courses in the areas covered as well as a textbook for students and as a reference book for the working mathematician." (R. Steinbauer, Monatshefte für Mathematik, Vol. 165 (3-4), March, 2012)