Excursions In Classical Analysis
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Excursions In Classical Analysis
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Author : Hongwei Chen
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31
Excursions In Classical Analysis written by Hongwei Chen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-31 with Mathematics categories.
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
DOWNLOAD
Author : Hongwei Chen
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31
Excursions In Classical Analysis written by Hongwei Chen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-31 with Mathematics categories.
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.
Classical Analysis
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Author : Hongwei Chen
language : en
Publisher: Textbooks in Mathematics
Release Date : 2022-11
Classical Analysis written by Hongwei Chen and has been published by Textbooks in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11 with Mathematical analysis categories.
A conceptually clear induction to fundamental analysis theorems, a tutorial for creative approaches for solving problems, a collection of modern challenging problems, a pathway to undergraduate research--all these desires gave life to the pages here. This book exposes students to stimulating and enlightening proofs and hard problems of classical analysis mainly published in The American Mathematical Monthly. The author presents proofs as a form of exploration rather than just a manipulation of symbols. Drawing on the papers from the Mathematical Association of America's journals, numerous conceptually clear proofs are offered. Each proof provides either a novel presentation of a familiar theorem or a lively discussion of a single issue, sometimes with multiple derivations. The book collects and presents problems to promote creative techniques for problem-solving and undergraduate research and offers instructors an opportunity to assign these problems as projects. This book provides a wealth of opportunities for these projects. Each problem is selected for its natural charm--the connection with an authentic mathematical experience, its origination from the ingenious work of professionals, develops well-shaped results of broader interest.
A Concrete Approach To Classical Analysis
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Author : Marian Muresan
language : en
Publisher: Springer Science & Business Media
Release Date : 2015-09-16
A Concrete Approach To Classical Analysis written by Marian Muresan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-16 with Mathematics categories.
Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of mathematical tools. The intended audience consists of advanced undergraduates studying mathematics or computer science. The author provides excursions from the standard topics to modern and exciting topics, to illustrate the fact that even first or second year students can understand certain research problems. The text has been divided into ten chapters and covers topics on sets and numbers, linear spaces and metric spaces, sequences and series of numbers and of functions, limits and continuity, differential and integral calculus of functions of one or several variables, constants (mainly pi) and algorithms for finding them, the W - Z method of summation, estimates of algorithms and of certain combinatorial problems. Many challenging exercises accompany the text. Most of them have been used to prepare for different mathematical competitions during the past few years. In this respect, the author has maintained a healthy balance of theory and exercises.
Classical Analysis
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Author : Hongwei Chen
language : en
Publisher: CRC Press
Release Date : 2022-12-16
Classical Analysis written by Hongwei Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-16 with Mathematics categories.
A conceptually clear induction to fundamental analysis theorems, a tutorial for creative approaches for solving problems, a collection of modern challenging problems, a pathway to undergraduate research—all these desires gave life to the pages here. This book exposes students to stimulating and enlightening proofs and hard problems of classical analysis mainly published in The American Mathematical Monthly. The author presents proofs as a form of exploration rather than just a manipulation of symbols. Drawing on the papers from the Mathematical Association of America's journals, numerous conceptually clear proofs are offered. Each proof provides either a novel presentation of a familiar theorem or a lively discussion of a single issue, sometimes with multiple derivations. The book collects and presents problems to promote creative techniques for problem-solving and undergraduate research and offers instructors an opportunity to assign these problems as projects. This book provides a wealth of opportunities for these projects. Each problem is selected for its natural charm—the connection with an authentic mathematical experience, its origination from the ingenious work of professionals, develops well-shaped results of broader interest.
Lectures On Classical Analysis
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Author : Peter S. Bullen
language : en
Publisher:
Release Date : 1989
Lectures On Classical Analysis written by Peter S. Bullen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
From Classical Analysis To Analysis On Fractals
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Author : Patricia Alonso Ruiz
language : en
Publisher: Springer Nature
Release Date : 2023-11-25
From Classical Analysis To Analysis On Fractals written by Patricia Alonso Ruiz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-25 with Mathematics categories.
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 classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends. An introductory chapter summarizes his broad and varied mathematical work and highlights his profound contributions as a mathematical mentor. The remaining articles are grouped into three sections – functional and harmonic analysis on Euclidean spaces, analysis on manifolds, and analysis on fractals – and explore Strichartz’ contributions to these areas, as well as some of the latest developments.
Computational Excursions In Analysis And Number Theory
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Author : Peter Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computational Excursions In Analysis And Number Theory written by Peter Borwein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.
Topics In Classical Analysis
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Author : Einar Hille
language : en
Publisher:
Release Date : 1964
Topics In Classical Analysis written by Einar Hille and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Classical Analysis
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Author :
language : en
Publisher:
Release Date : 1959
Classical Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.