Exponential Series in Algebra: Understanding and Applications
Explore the world of Exponential Series in Algebra through this insightful presentation by Hossain Md. Waseem Firoz, an Instructor in Mathematics at Kushtia Polytechnic Institute. Dive into the fundamentals, solving problems, and applications of Exponential Series in a comprehensive manner. Discover the essence of Algebra and its historical significance along with a focus on Exponential Series, its properties, and applications. Learn about the concept of exponents, infinite series, and the intricacies of defining and proving the finiteness of 'e'. Engage with practice questions and deepen your understanding of this significant mathematical concept.
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Presentation Transcript
Welcome To My Presentation Hossain Md Waseem Firoz Instructor (Mathematics) 1stShift Kushtia Polytechnic Institute
Content On Exponential Series Algebra Exponential Series Solving problems related to Exponential Series. Practice Questions.
Algebra Algebra is a branch of mathematics in which arithmetic operations and other formal manipulations are applied to abstract symbols rather than specific numbers. Geometry is the branch of mathematics that deals with the shape of objects, their spatial relations, and the properties of the space the objects are in. The Father of Algebra: Muhammad ibn Musa Al- Khwarizmi
Exponential Series An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23is not the same as 2 x 3 = 6. series: we can describe a series as adding infinitely many numbers or quantities to a given starting number or amount. ex: 1+2+3+4+..............+n.
Exponential Series a series derived from the development of exponential expressions specifically : the fundamental expansion, ex= 1 + x/1 + x2/2! + x3/3! + , absolutely convergent for all finite values of x
Exponential Series Define e. Prove that e is finite and lies between 2 and 3. Prove that
