History of calculus and applications
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Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. It was independently discovered in the mid-17th century by Isaac Newton and Gottfried Leibniz. Calculus has many applications across diverse fields including engineering, biology, physics, economics, and other areas. It is used to model varying rates of change and optimize solutions.
History of calculus and applications
- 1. Calculus History and application of calculus
- 2. Team members Name ID Irteza Rahman 133-15-3057 Emran Hosen 133-15-2896
- 3. Index Inventors History of calculus Meaning of the name calculus Application of calculus References
- 4. Inventors
- 5. Inventors
- 6. What is calculus? Calculus originally meant “mathematics”. Derived from the Latin “calx” (counter) – ancient Babylonians would use pebbles to represent units, tens, hundreds, etc, on a primitive abacus. Later, defined as measuring varying rates of change.
- 7. Calculus history Calculus known in its early history as infinitesimal calculus Calculus, known in its early history as infinitesimal calculus, is a mathematical discipline focused on limits, functions, derivatives, integrals, and infinite series. Isaac Newton and Gottfried Leibniz independently discovered calculus in the mid-17th century. The main ideas which underpin the calculus developed over a very long period of time indeed. The first steps were taken by Greek mathematicians.
- 9. Applications of calculus The differentiation and integration of calculus have many real-world applications from sports to engineering to astronomy and space travel.
- 10. Calculus in the engineering field Calculus initially developed for better navigation system. Engineers use calculus for building skyscrapers , bridges. In robotics calculus is used how robotic parts will work on given command. Electrical and Computer engineers use calculus for system design. Calculus is used to improve safety of vehicles.
- 11. Calculus in Biology To study the interaction of different species within an ecosystem calculus is used. The concentration of drugs in a living organism can be answered with calculus. Physical attributes, such as backbone length and skull length measured by calculus. Calculus is used for measuring growth rate of bacteria and certain species.
- 12. Calculus in Science • Isaac Newton developed the use of calculus in his laws of motion and gravitation. • Astronomical science deeply depend on calculus. • Space technology use calculus in many ways. • Calculus is used to build tracks.
- 13. Calculus in Economics • Functions and derivatives of calculus are relate to relevant concepts in economics. • Economic research uses calculus functional relationships, relation of income , market prediction etc. • Differentiation is used to find optimum solutions of economics. • Calculus also used for max efficiency or products or to minimize their costs. • Credit card companies use calculus for monthly payments.
- 14. Calculus in other fields • Business and politicians often conduct surveys with the help of calculus. • Investment plans do not pass before mathematicians approves. • Doctors often use calculus in the estimation of the progression of the illness. • Global mapping is done with the help of calculus. • Calculus also used to solve paradoxes.
- 15. Thank you References i. www.Wikipedia.org ii. www.ehow.com iii. Answers.yahoo.com iv. www.youtube.com v. www.enotes.com vi. www.studymode.com