How To Learn Mathematical Analysis
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A First Course in Mathematical Analysis
Author: David Alexander Brannan
language: en
Publisher: Cambridge University Press
Release Date: 2006-08-17
Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard university course on the subject.
ALGEBRA. A Mathematical Analysis Preliminary to Calculus
This textbook contains the fundamentals of Algebra most frequently used at the University associated with the development of academic programs of Calculus. The content of the book applies in classroom curriculum or distance curriculum.
Introductory Mathematical Analysis
Author: Said Taan El-Hajjar
language: en
Publisher: Xlibris Corporation
Release Date: 2011-06-23
Introductory Mathematical Analysis includes topics from differential and integral calculus that are of interest to students of business, economics, finance and the social sciences. It begins with noncalculus topics such as equations, inequalities, functions, and mathematics of finance. This book contains the theoretical development of the real number system, the continuity, the differentiability, the integration of functions, and the convergence of sequences and series of real numbers. It also includes the development of sequences and series of functions and an analysis of the properties a limit function may inherit from its approximants. It is designed for students who have an intuitive understanding of and basic competency in the standard procedures of the calculus. Some proofs are sufficiently described but are not overdone. Our guiding philosophy led us to build on this foundation in such a way that pupils achieve the elementary results and acquire fundamental skills in higher business and higher calculus. Partially fulfills Core Mathematics requirement.