Excursions in Classical Analysis

Excursions in Classical Analysis
Author: Hongwei Chen
Publisher: American Mathematical Soc.
Total Pages: 301
Release: 2010-12-31
Genre: Mathematics
ISBN: 0883859351

Download Excursions in Classical Analysis Book in PDF, Epub and Kindle

Excursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical analysis, showcasing a wide variety of problems that are placed in historical context, and it will help students gain mastery of mathematical discovery and proof. The [Author]; presents a variety of solutions for the problems in the book. Some solutions reach back to the work of mathematicians like Leonhard Euler while others connect to other beautiful parts of mathematics. Readers will frequently see problems solved by using an idea that, at first glance, might not even seem to apply to that problem. Other solutions employ a specific technique that can be used to solve many different kinds of problems. Excursions emphasizes the rich and elegant interplay between continuous and discrete mathematics by applying induction, recursion, and combinatorics to traditional problems in classical analysis. The book will be useful in students' preparations for mathematics competitions, in undergraduate reading courses and seminars, and in analysis courses as a supplement. The book is also ideal for self study, since the chapters are independent of one another and may be read in any order.


Excursions in Classical Analysis
Language: en
Pages: 301
Authors: Hongwei Chen
Categories: Mathematics
Type: BOOK - Published: 2010-12-31 - Publisher: American Mathematical Soc.

GET EBOOK

Excursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical
Classical Analysis
Language: en
Pages: 443
Authors: Hongwei Chen
Categories: Mathematics
Type: BOOK - Published: 2022-12-16 - Publisher: CRC Press

GET EBOOK

A conceptually clear induction to fundamental analysis theorems, a tutorial for creative approaches for solving problems, a collection of modern challenging pro
A Concrete Approach to Classical Analysis
Language: en
Pages: 443
Authors: Marian Muresan
Categories: Mathematics
Type: BOOK - Published: 2015-09-16 - Publisher: Springer Science & Business Media

GET EBOOK

Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential a
From Classical Analysis to Analysis on Fractals
Language: en
Pages: 294
Authors: Patricia Alonso Ruiz
Categories: Mathematics
Type: BOOK - Published: 2023-11-25 - Publisher: Springer Nature

GET EBOOK

Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in
Explorations in Complex Analysis
Language: en
Pages: 373
Authors: Michael A. Brilleslyper
Categories: Mathematics
Type: BOOK - Published: 2012-12-31 - Publisher: American Mathematical Soc.

GET EBOOK

Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis