Fluid Mechanics - II - Mutual Academy

Advanced Set Theory

In Advanced Set Theory, we study many important ideas related to the size and structure of sets. We begin by discussing equivalent sets and understanding the difference between countable and uncountable sets, along with their examples. We explore cardinal numbers as a way to compare set sizes and learn about Cantor’s theorem which shows that some infinities are bigger than others. We also look at partially ordered sets, chains, and lattices, which help us understand the order and arrangement of elements. The Cantor-Bernstein theorem helps in proving when two sets have the same size. We learn how to add, multiply, and take powers of cardinal numbers. Important logical tools like the Axiom of Choice and Zorn’s Lemma are also studied, along with their equivalence. Finally, we discuss well-ordered sets, ordinal numbers, and how we can perform addition and multiplication with them. All these concepts help us deeply understand infinite sets and the foundations of modern mathematics. Notes ●...

Fluid Mechanics - II

Fluid Mechanics is the branch of physics and applied mathematics that deals with the behavior of fluids (liquids and gases) at rest and in motion. It plays a vital role in understanding natural phenomena such as ocean currents, blood flow, and weather patterns, as well as in engineering applications like aerodynamics, hydraulics, and pipeline design. Fluid mechanics is divided into two main areas: fluid statics, which studies fluids at rest, and fluid dynamics, which focuses on fluids in motion. Key concepts include pressure, viscosity, flow rate, and the principles of conservation of mass, momentum, and energy. Mastery of fluid mechanics is essential for designing efficient systems in mechanical, civil, aerospace, and chemical engineering.

Notes

📘 Fluid Mechanics Notes (48)
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📘 CH:01 Fluid Mechanics - II (Sir Ghulam Qadir Sahib)
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📘 CH:02 Fluid Mechanics - II (Sir Ghulam Qadir Sahib)
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Books

📗 Book by Dr. Nawazish Ali Shah
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Mutual Academy

Fluid Mechanics - II

Fluid Mechanics - II

Notes

Books