Jaideep Ganguly, Sc.D. (MIT)


Mathematics is the foundational bedrock of physics, engineering, and many other disciplines; the topics outlined below present a comprehensive and clearly explained treatment of the mathematical foundations required for understanding physics and engineering.

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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 - Probability & Statistics

PART-3
16 - Partial Differential Equation
17 - Calculus of Variations
18 - Weighted Residual Method

PART-4
19 - Mechanics
20 - Waves & Sound
21 - Fluid Flow
22 - Heat & Thermodynamics
23 - Electricity & Magnetism
24 - Light & Optics
25 - Quantum Mechanics

PART-5
26 - Tensors
27 - Differential Geometry
28 - Lorentz Transformations
29 - Spacetime geometry
30 - Einstein's Theory of 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.