Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions. These theories are often studied in the context of real numbers, complex numbers, and real and complex functions. However, they can also be defined and studied in any space of mathematical objects that has a definition of nearness (a topological space) or, more specifically, distance (a metric space).
Supplemental catalog subcollection information: American Libraries Collection; Historical Literature
Supplemental catalog subcollection information: American Libraries Collection; American University Library Collection
Supplemental catalog subcollection information: Canadian Libraries Collection; Canadian University Library Collection; Candian History
Supplemental catalog subcollection information: American Libraries Collection; American University Library Collection; Historical Literature; Rare book preservation notes: Due to the deteriorated condition of this book, there were limitations with the dig
Description: This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations, Boundary Value Problems and Fourier Expansions, Fourier Solutions of Partial Differential Equations, Boundary Value ...
Description: Using a clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. This book is intended for those who want to gain an understanding of mathematical analysis and challenging mathematical concepts
Number theory is an ancient subject, but we still cannot answer many simplest and most natural questions about the integers. Some old problems have been solved, but more arise. All the research for these ancient or new problems implicated and are still promoting the development of number theory and mathematics.
Description: This lecture note explains the following topics: What is the derivative, How do we find derivatives, What is differential calculus used for, differentiation from first principles.
Description: This note provides the details about the following topics: Nonlinear equations, Linear Systems, Eigenvalues, Nonlinear systems, Ordinary Differential Equations, Fourier transforms.
This book contains 23 papers, most of which were written by participants to the fifth International Conference on Number Theory and Smarandache Notions held in Shangluo University, China, in March, 2009. In this Conference, several professors gave a talk on Smarandache Notions and many participants lectured on them both extensively and intensively. All these papers are original and have been refereed. The themes of these papers range from the mean value or hybrid mean va...
3. Remarks Sandor [2] has considered the problem of finding the S-perfect and completely S-perfect numbers, but his proof is not complete. He has proved that the only S-perfect of the form n = p q is n = 6 and there is no S-perfect number of the form n = 2kq where k ¸ 2 is an integer and q is an odd prime. On the other hand, Theorem 2.1 gives all the S-perfect numbers. Again, Sandor only proved that, the only completely S-perfect number of the form n = p2q is n = 28, an...
Vol. II translated by Earle Raymond Hedrick and Otto Dunkel, published in 2 parts.
Vol. II translated by Earle Raymond Hedrick and Otto Dunkel, published in 2 parts