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MATHEMATICAL METHODS IN PHYSICS

MATHEMATICAL METHODS IN PHYSICS

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माहिती

शैक्षणिक माहिती

  • शैक्षणिक टप्पा पदवीधर

  • विद्याशाखा विज्ञान

  • शाखा

  • इयत्ता दुसरे वर्ष

  • सत्र I

  • माध्यम इंग्रजी

  • मंडळ/विद्यापीठ पुणे

  • विषय

अभिप्राय

  • या वस्तूबद्दल शेरा/अभिप्राय उपलब्ध नाही. अभिप्राय लिहिणारे सर्वप्रथम व्हा.

प्रस्तावना

1. Complex Algebra
1.1 Introduction
1.2 Algebra of complex numbers
1.3 Argand diagram
1.4 Different forms of complex number
1.5 De moivre?s theorem
1.6 Trigenometric, exponential and hyperbolic functions
1.7 Logarithm of a complex number
1.8 Powers and roots of a complex number
1.9 Application of complex numbers to determine velocity and acceleration
2. Vector Algebra
2.1 Introduction
2.2 Addition and subtraction of vectors
2.3 Multiplication of vectors
2.4 Scalar triple product
2.5 Geometrical interpretation of scalar triple product
2.6 Vector triple product
3. Vector Analysis
3.1 Introduction
3.2 Differentiation of a vector with respect to a scalar
3.3 Scalar and vector fields
3.4 Vector differential operator
3.5 Gradient of a scalar field
3.6 Divergence of a vector field
3.7 Curl of a vector field
3.8 Statement of gauss-divergence theorem and stoke’s theorem
3.9 Vector integrals: Line, surface and volume integral and their examples
3.10 Vector identities
4. Partial Differentiation
4.1 Introduction
4.2 Definition of partial differentiation
4.3 Successive differentiation
4.4 Total differentiation
4.5 Exact differential
4.6 Chain rule
4.7 Two theorems in partial differentiation
4.8 Change of variables from cartesian to polar co-ordinates
4.9 Implicit and explicit functions
4.10 Conditions for maxima and minima (Without Proof)
5. Differential Equation
5.1 Introduction
5.2 Frequently occurring partial differential equations [Cartesian Co-ordinates]
5.3 Terminology used in differential equations (Order, Degree, Linearity and Non–Linearity, Homogeneity and Non-Homogeneity)
5.4 Singular points of differential equation