Alina Sintamarian,Ovidiu Furdui
Sharpening Mathematical Analysis Skills
Sharpening Mathematical Analysis Skills
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- More about Sharpening Mathematical Analysis Skills
This book is a collection of challenging mathematical analysis problems designed to encourage creativity and lead to open problems. It covers classical topics and includes exercises with supporting theory, structured to help the reader find solutions. It is suitable for undergraduate students in mathematics, physics, and engineering, as well as instructors and anyone interested in exploring mathematical analysis in new ways.
Format: Paperback / softback
Length: 536 pages
Publication date: 27 October 2022
Publisher: Springer Nature Switzerland AG
This book is a captivating collection of challenging mathematical analysis problems that are truly worth delving into. Spanning a wide range of classical topics, these problems gradually increase in difficulty, encouraging creativity and inspiring students to embark on research endeavors. Part I of the book presents a diverse array of problems, each accompanied by relevant theory to aid in understanding. The content begins with the fundamentals of limits, series, power series, derivatives, partial derivatives, and implicit functions, gradually progressing to more complex concepts. Thought-provoking difficulties are thoughtfully structured in parts, making it easier for readers to find solutions. Throughout the text, intriguing challenges and open problems beckon readers to explore innovative approaches for proving established results and establishing new ones. The final two chapters offer a delightful array of ambitious problems, accompanied by two fresh proofs of a renowned quadratic series involving harmonic numbers.
Part II of the book provides comprehensive solutions to the proposed exercises, making it an invaluable resource for undergraduate students in mathematics, physics, and engineering who aim to enhance their analytical skills. Instructors involved in math contests, individuals seeking to expand and test their knowledge in analysis, and anyone with a curiosity to explore the standard topics of mathematical analysis in unconventional ways will find great value in this work.
In conclusion, this book is a treasure trove of challenging mathematical analysis problems that will captivate and inspire students, scholars, and anyone with a passion for the field. Whether you are a beginner or an advanced analyst, this collection offers a wealth of knowledge and opportunities for growth and discovery.
Weight: 842g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030771416
Edition number: 1st ed. 2021
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