Elements of Algebra is an elementary mathematics textbook written by mathematician Leonhard Euler around 1765 in German. It was first published in Russian as "Universal Arithmetic" (Универсальная арифметика), two volumes appearing in 1768-9 and in 1770 was printed from the original text. Elements of Algebra is one of the earliest books to set out algebra in the modern form we would recognize today (another early book being Elements of Algebra by Nicholas Saunderson, published in 1740), and is one of Euler's few writings, along with Letters to a German Princess, that are accessible to the general public. Written in numbered paragraphs as was common practice till the 19th century, Elements begins with the definition of mathematics and builds on the fundamental operations of arithmetic and nu
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| - عناصر من الجبر (ar)
- Elements of Algebra (en)
- 대수학 원론 (ko)
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| - 《대수학 원론》 또는 《대수학의 요소들》(Elements of Algebra)은 수학자 레온하르트 오일러가 저술하고 작성한 1770년에 독일어로 출판된 초등 수학 교과서이다. 《대수학 원론》은 오늘날 우리가 인식할 수 있는 현대적인 형태로 대수학을 설정한 최초의 책중 하나로 평가받고 있디. 이책은 19세기까지 일반적인 관행처럼 번호가 매겨진 단락으로 작성된 컨텐츠로 구성되어있으며 수학의 정의로 시작하여 산술 및 숫자 시스템의 기본 연산을 기반으로하며 점차 추상적인 주제로 이동한다. 한편 현대적인 형태로 대수학을 설정한 최초의 책중 다른 초기 책은 1740년에 출판된 (Nicholas Saunderson)의 《대수학의 요소들》(Elements of Algebra)을 참고해볼 수 있다. (ko)
- عناصر من الجبر هو كتاب في الرياضيات لمؤلفه عالم الرياضيات ليونهارد أويلر، نشر في البداية حوالي عام 1765. كان هذا الكتاب واحدا من الكتب الأولى اللائي وضعن الجبر في شكله العصري. ولكنه يختلف عن التقريبات المعاصرة بما فيه الكفاية لكي يجعله صعب القراءة من طرف القراء الحاليين. هو الكتاب الوحيد الذي كتبه أويلر، القابل للقراءة من طرف عموم الناس. يبتدأ بنقاش حول طبيعة الأعداد وحول العلامات + و -، قبل أن يتطرق إلى الجبر وإلى متعددات الحدود وكيفية حلحلتهن إلى حدود الدرجة الرابعة بداية بصيغ دقيقة وبعد ذلك بالتقريب. كما يحتوي على نتائج مهمة في التحليل الرياضي. على سبيل المثال، يحتوي على حلحلة أويلر الأصلية لمبرهنة فيرما الأخيرة بالنسبة للحالة الخاصة n = 3. (ar)
- Elements of Algebra is an elementary mathematics textbook written by mathematician Leonhard Euler around 1765 in German. It was first published in Russian as "Universal Arithmetic" (Универсальная арифметика), two volumes appearing in 1768-9 and in 1770 was printed from the original text. Elements of Algebra is one of the earliest books to set out algebra in the modern form we would recognize today (another early book being Elements of Algebra by Nicholas Saunderson, published in 1740), and is one of Euler's few writings, along with Letters to a German Princess, that are accessible to the general public. Written in numbered paragraphs as was common practice till the 19th century, Elements begins with the definition of mathematics and builds on the fundamental operations of arithmetic and nu (en)
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| - عناصر من الجبر هو كتاب في الرياضيات لمؤلفه عالم الرياضيات ليونهارد أويلر، نشر في البداية حوالي عام 1765. كان هذا الكتاب واحدا من الكتب الأولى اللائي وضعن الجبر في شكله العصري. ولكنه يختلف عن التقريبات المعاصرة بما فيه الكفاية لكي يجعله صعب القراءة من طرف القراء الحاليين. هو الكتاب الوحيد الذي كتبه أويلر، القابل للقراءة من طرف عموم الناس. يبتدأ بنقاش حول طبيعة الأعداد وحول العلامات + و -، قبل أن يتطرق إلى الجبر وإلى متعددات الحدود وكيفية حلحلتهن إلى حدود الدرجة الرابعة بداية بصيغ دقيقة وبعد ذلك بالتقريب. كما يحتوي على نتائج مهمة في التحليل الرياضي. على سبيل المثال، يحتوي على حلحلة أويلر الأصلية لمبرهنة فيرما الأخيرة بالنسبة للحالة الخاصة n = 3. في عام 1771، نشر جوزيف لاغرانج كتابا عنوانه ، احتوى على نتائج مهمة في الرياضيات. (ar)
- Elements of Algebra is an elementary mathematics textbook written by mathematician Leonhard Euler around 1765 in German. It was first published in Russian as "Universal Arithmetic" (Универсальная арифметика), two volumes appearing in 1768-9 and in 1770 was printed from the original text. Elements of Algebra is one of the earliest books to set out algebra in the modern form we would recognize today (another early book being Elements of Algebra by Nicholas Saunderson, published in 1740), and is one of Euler's few writings, along with Letters to a German Princess, that are accessible to the general public. Written in numbered paragraphs as was common practice till the 19th century, Elements begins with the definition of mathematics and builds on the fundamental operations of arithmetic and number systems, and gradually moves towards more abstract topics. In 1771, Joseph-Louis Lagrange published an addendum titled Additions to Euler's Elements of Algebra, which featured a number of important mathematical results. The original German title of the book was Vollständige Anleitung zur Algebra, which literally translates to Complete Instruction to Algebra. Two English translations are now extant, one by John Hewlett (1822), and the other, which is translated to English from a French translation of the book, by Charles Tayler (1824). On the 300th birth anniversary of Euler in 2007, mathematician Christopher Sangwin working with Tarquin Publications published a digitized copy based on Hewlett's translation of the first four sections (or Part I) of the book. In 2015, Scott Hecht published both print and Kindle versions of Elements of Algebra (ISBN 978-1508901181) with Euler's Part I (Containing the Analysis of Determinate Quantities), Part II (Containing the Analysis of Indeterminate Quantities), Lagrange's Additions, and footnotes by Johann Bernoulli and others. (en)
- 《대수학 원론》 또는 《대수학의 요소들》(Elements of Algebra)은 수학자 레온하르트 오일러가 저술하고 작성한 1770년에 독일어로 출판된 초등 수학 교과서이다. 《대수학 원론》은 오늘날 우리가 인식할 수 있는 현대적인 형태로 대수학을 설정한 최초의 책중 하나로 평가받고 있디. 이책은 19세기까지 일반적인 관행처럼 번호가 매겨진 단락으로 작성된 컨텐츠로 구성되어있으며 수학의 정의로 시작하여 산술 및 숫자 시스템의 기본 연산을 기반으로하며 점차 추상적인 주제로 이동한다. 한편 현대적인 형태로 대수학을 설정한 최초의 책중 다른 초기 책은 1740년에 출판된 (Nicholas Saunderson)의 《대수학의 요소들》(Elements of Algebra)을 참고해볼 수 있다. (ko)
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