Abstract Algebra

Meaning in Bengali:

সারগঠিত বীজগণিত

Part of Speech:

Noun

Pronunciation:

ab-strakt al-juh-bruh

Short Definition:

Abstract Algebra refers to the branch of mathematics that deals with algebraic structures such as groups, rings, and fields, focusing on their abstract properties rather than specific numbers or equations. In Bengali, it is known as “সারগঠিত বীজগণিত” which literally translates to “structured algebra.”

Synonyms:

Algebraic Structures, Modern Algebra, General Algebra

Antonyms:

Concrete Algebra (সাংকেতিক বীজগণিত), Elementary Algebra (প্রাথমিক বীজগণিত)

Origin:

The term “Abstract Algebra” was coined in the early 20th century to distinguish this branch of mathematics from the more traditional “Elementary Algebra.” It emerged as mathematicians sought to generalize algebraic concepts beyond specific number systems. The foundations of Abstract Algebra were laid by mathematicians such as Évariste Galois, Augustin-Louis Cauchy, and Arthur Cayley.

Nearby Words:

Abstraction (সংক্ষেপ), Abstracted (বিচ্ছিন্ন), Abstractedly (অবস্থান হারানো), Abstractedness (বিচ্ছিন্নতা)

Abstract Algebra in Literature Quotes:

“Abstract algebra is the art of introducing new operations on numbers and studying the interrelations which result.” – Nicolas Bourbaki

“Abstract algebra is not only a subject area in its own right; it also serves as a foundation for many other mathematical disciplines.” – David S. Dummit

“Abstract algebra is the poetry of pure mathematics.” – Gerard P. Michon

“Abstract algebra is the paradise of mathematics.” – Alfred North Whitehead

1. “Thinking abstractly is a key skill in abstract algebra.” – সারগঠিত বীজগণিতে সংক্ষেপে চিন্তা করা একটি গুরুত্বপূর্ণ দক্ষতা।

2. “He approached the problem with abstract algebra in mind.” – তিনি সমস্যাটিকে সারগঠিত বীজগণিতের দৃষ্টিতে অবগত হয়ে আসলেন।

Usage in American English:

In American English, “Abstract Algebra” is the commonly used term to refer to this branch of mathematics.

Usage in British English:

In British English, “Abstract Algebra” is also the preferred term to describe this field of mathematics.

Meaning in Different Languages:

Hindi: अव्यवक्त बीजगणित (avyavakt beejganit)

Nepali: अमूर्त बीजगणित (amurta beejganit)

Urdu: تصوری جبر (tasawwuri jabr)

Tamil: பரிமூல பொருளியல் (parimūla poruḷiyal)

Telugu: సారాంశిక బీజగణితం (sārāṁśika bījagaṇitaṁ)

Arabic: الجبر المجرد (aljabr almujrid)

Chinese: 抽象代数学 (chōuxiàng dàishùxué)

Japanese: 抽象代数学 (chūshō daisūgaku)

Russian: Абстрактная алгебра (Abstraktnaya algebra)

For more information, you can visit the Wikipedia page on Abstract Algebra.

You can also refer to dictionary.com and thefreedictionary.com for further definitions and explanations.