The book "Some Theory on Local Extrema of Multivariable Functions" presents theorems and proofs related to local extrema of multivariable functions. It includes the necessary theory and notation for studying real functions of several variables, covering fundamental results on the continuity and differentiability of multivariable functions. The book is intended as an auxiliary text on the subject, featuring a chapter with problems and their solutions.
The book "Some Theory on Local Extrema of Multivariable Functions" presents theorems and proofs related to local extrema of multivariable functions. I...
This book is a 2nd edition containing a new chapter. It presents the theory of numerical iterative methods to solve systems of linear equations. It also contains the proofs of iterative methods to solve the equation f(x)=0 and the proofs of polynomial interpolation method. Finally, it presents some proofs of approximation methods to calculate a defined integral. It is not required for the reader to have a previous knowledge on numerical methods.
This book is a 2nd edition containing a new chapter. It presents the theory of numerical iterative methods to solve systems of linear equations. It al...
This is a 2nd edition of the book. Generally, the book shows how basic complex analysis can greatly affect finding primitives for trigonometric functions. The text from the 1st edition has been updated for better understanding.In particular, presents the geometrical properties of homographic functions and some applications of complex theory to the integration of trigonometric functions. It also presents a theoretical background of homographic functions and a few solved problems.
This is a 2nd edition of the book. Generally, the book shows how basic complex analysis can greatly affect finding primitives for trigonometric functi...
This book is a 2nd edition. It presents the fundamental theory of differential equations and some solved problems about linear differential equations in particular on those with constant coefficients. We make a clear and attractive exposition of the method of resolution on those types of differential equations. The text requires the reader to have a one-semester course in one variable calculus and linear algebra.
This book is a 2nd edition. It presents the fundamental theory of differential equations and some solved problems about linear differential equations ...
This book is about calculus of surfaces. Firstly, we present and prove the main results on surface integration in a clear and readable fashion. The following chapters are dedicated to solving new problems on the theory of surface integration of scalar and vector fields over parameterized regular surfaces. The book ends with a chapter on proposed problems and their solutions which many of them were used in classroom and in assessment in the last 20 years.
This book is about calculus of surfaces. Firstly, we present and prove the main results on surface integration in a clear and readable fashion. The fo...
