Mathematical Analysis: A Concise Introduction
| Author | : | |
| Rating | : | 4.36 (655 Votes) |
| Asin | : | 0470107960 |
| Format Type | : | paperback |
| Number of Pages | : | 584 Pages |
| Publish Date | : | 2014-05-20 |
| Language | : | English |
DESCRIPTION:
. Schroder, PhD, is Edmondson/Crump Professor in the Program of Mathematics and Statistics at Louisiana Tech University. Schröder is the author of over thirty refereed journal articles on subjects such as ordered sets, probability theory, graph theory, harmonic analysis, computer science, and education. Dr. He earned his PhD in math
A special focus on ordinary and partial differential equations presents some theoretical and practical challenges that exist in these areas. Topical coverage includes Navier-Stokes equations and the finite element method. The reader is introduced to the fundamental spaces of analysis, including Lp spaces, and the book successfully details how appropriate definitions of integration, continuity, and differentiation lead to a powerful and widely applicable foundation for further study of applied mathematics. The interrelation between measure theory, topology, and differentiation is then examined in the proof of the Multidimensional Substitution Formula. Further areas of coverage in this section include manifolds, Stokes' Theorem, Hilbert spaces, the convergence of Fourier series, and Riesz' Representation
An excellent introduction to mathematical analysis with a different focus Michael Birman Writing a new book on mathematical analysis takes courage: the field is crowded and there are several well-known classics that are the focus of attention. My fascination with mathematical analysis (and advanced calculus, which is essentially the same area of study but with a focus on the theoretical underpinnings of calculus) has led me to collect more than 40 books on the subject. A good grounding in real analysis will provide a st. Darren E. Mathews said OUTSTANDING AND COMPREHENSIVE ANALYSIS TEXT. I completed a bachelor's degree in math twenty years ago, and my favorite course was Real Analysis; however, the text I used was very poor in nearly every way. Over the years, as I have continued to study analysis (real and complex), I have found texts which were mediocre, at best. Professor Schroder's text is the absolute finest on analysis I have read. Professor Schroder is from Germany and was educated, in part, there; and, to be. "THE Complete Introduction to Mathematical Analysis" according to Edwin. This is the best book I have read on Mathematical Analysis. It is rigorous & the writing is clear. Even though my background is in Physics & Engineering, I have always been interested in picking up Mathematical skills through self study. This book really helps me wade through Analysis in a smooth way. Lots of helpful Proof Techniques along the way aids my understanding.Thanks Professor Bernd for such an educating book! Hope you writ
"This highly original, interesting and very useful book includes over 900 exercises which are ranging in levels of difficulty, from conceptual questions and adaptations of proofs to proofs with and without hints." (Mathematical Reviews, 2008h)