Jaideep Ganguly, Sc.D. (MIT)


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̉ Engineering Mathematics
00 - Preface
01 - Scientific Computation

PART-1
02 - Function
03 - Limit
04 - Differentiation
05 - Integration
06 - First Order Ordinary Differential Equation
07 - Second Order Ordinary Differential Equation
08 - Higher Order Ordinary Differential Equation

PART-2
09 - Matrices
10 - Vector
11 - System of Ordinary Differential Equations
12 - Laplace Transform
13 - Fourier Series
14 - Complex Analysis
15 - Calculus of Variations
16 - Partial Differential Equation
17 - Probability & Statistics

PART-3 (Coming Soon)
18-Mechanics
19-Waves
20-Fluid Flow
21-Electricity & Magnetism
22-Thermodynamics
23-Quantum Mechanics

PART-4 (Coming Soon)
24 - Tensors
25 - Differential Geometry
26 - Lorentz Transformations
27 - Spacetime geometry

PART-5 (Coming Soon)
28 - General Relativity

My Youtube channel on Engineering Mathematics.

Tensor Calculus and Differential Geometry - by Jaideep Ganguly
This book is an attempt to provide a compact explanation of the fundamental results in tensor theory and its application in differential geometry, engineering analysis and relativity. The motivation to write this book came from the desire to develop a comprehensive content that is necessary to provide a rigorous exposure to the theory of tensor calculus so that it can effectively applied in engineering and physics.