# Browse Items (27 total)

- Collection: 515 Analysis

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## Elementary Algebra

Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. Use of this book will help the student develop the insight and intuition necessary to master algebraic techniques and manipulative…

## Introduction to Real Analysis

This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also…

**Tags:**
mathematics, Real Analysis

## A Story of Real Analysis

The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a…

**Tags:**
mathematics, Real Analysis

## Notes on Diffy Qs: Differential Equations for Engineers

This book originated from my class notes for teaching Math 286 at the University of Illinois at Urbana-Champaign in Fall 2008 and Spring 2009. It is a ﬁrst course on differential equations for

engineers. I also taught Math 285 at UIUC and Math 20D…

engineers. I also taught Math 285 at UIUC and Math 20D…

## Introduction to Differential Equations

Much of the material of Chapters 2-6 and 8 has been adapted from thewidely used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, ○c 2001). Many of the examples…

## Introduction to Numerical Methods

What follows are my lecture notes for Math 3311: Introduction to Numerical Methods, taught at the Hong Kong University of Science and Technology. Math 3311, with two lecture hours per week, is primarily for non-mathematics majors and is required by…

## Basic Analysis: Introduction to Real Analysis

A first course in mathematical analysis. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, sequences of functions, and metric spaces.

**Tags:**
Basic Analysis, Mathematic, Real Analysis

## Elementary Diferrential Equantions

Elementary Differential Equations by William F. Trench Andrew G. Cowles Distinguished Professor Emeritus, Department of Mathematics, Trinity University, San Antonio, Texas, USA,Previously published by Brooks/Cole Thomson Learning, 2000. This book has…

## Mathematical Analysis Volume I

**Tags:**
Analysis, Differentiation, Integration, Limits, mathematics, Real Numbers, Sequences, Series, Sets, Vectors

## Introduction to Mathematical Analysis I

The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels.…

**Tags:**
mathematical analysis