Introduction

Mathematical Physics and Newtonian Mechanics B.Sc 1st Year (1st Semester) की महत्वपूर्ण Physics पुस्तक है। यह पुस्तक National Education Policy (NEP) 2020 एवं उत्तर प्रदेश राज्य विश्वविद्यालयों के Common Minimum Syllabus के अनुसार तैयार की गई है। इसमें Vector Algebra, Vector Calculus, Coordinate System, Tensor Analysis, Newtonian Mechanics, Elasticity, Gravitation, Oscillations तथा Wave Motion जैसे विषयों का विस्तृत एवं परीक्षा उपयोगी अध्ययन प्रस्तुत किया गया है।

Authors

• Dr. Sundar Singh
  • Professor, Department of Physics
  • Bareilly College, Bareilly
• Dr. R. K. Dwivedi
  • Director, CDC
  • C.S.J.M. University, Kanpur
• Prof. Devesh K. Tyagi
  • Associate Professor, Department of Physics
  • DAV P.G. College, Muzaffarnagar

Contents

Part A – Mathematical Physics

Unit 0

• Indian Ancient Physics & Contribution of Indian Physicists

Unit 1 – Vector Algebra

• Scalars and Vectors
• Vector Operations
• Triple Product
• Coordinate Transformation
• True Scalar and Vector

Unit 2 – Vector Calculus

• Gradient
• Divergence
• Curl
• Gauss Divergence Theorem
• Stokes’ Theorem
• Green’s Theorem
• Helmholtz Theorem
• Dirac Delta Function

Unit 3 – Coordinate System

• Cartesian Coordinates
• Polar Coordinates
• Cylindrical Coordinates
• Spherical Coordinates
• Curvilinear Coordinates
• Velocity and Acceleration Components
• Non-Inertial Frames
• Pseudo Force

Unit 4 – Introduction to Tensors

• Coordinate Transformation
• Covariant & Contravariant Vectors
• Tensor Algebra
• Levi-Civita Symbol
• Fourier Series
• Fourier Theorem

Part B – Newtonian Mechanics and Wave Motion

Unit 1 – Dynamics of System of Particles

• Newton’s Laws
• Frames of Reference
• Work, Energy & Momentum
• Conservation Laws

Unit 2 – Dynamics of a Rigid Body

• Torque
• Angular Momentum
• Moment of Inertia
• Rolling Motion
• Parallel & Perpendicular Axis Theorem

Unit 3 – Elasticity

• Stress and Strain
• Hooke’s Law
• Elastic Constants
• Bending of Beams
• Torsion
• Strain Energy

Unit 4 – Motion of Planets and Satellites

• Central Force
• Gravitation
• Kepler’s Laws
• Artificial Satellites
• Escape Velocity
• GPS
• Geostationary Satellites

Unit 5 – Free, Damped and Forced Oscillations

• Simple Harmonic Motion
• Damped Oscillator
• Forced Oscillation
• Resonance
• Lissajous Figures

Unit 6 – Wave Motion

• Progressive Waves
• Stationary Waves
• Wave Equation
• Longitudinal & Transverse Waves
• Group Velocity
• Phase Velocity

Key Features

• B.Sc 1st Year 1st Semester के लिए उपयोगी
• NEP 2020 आधारित नवीनतम संस्करण
• Common Minimum Syllabus (UP State Universities)
• Second Revised Edition
• Solved Examples एवं Review Questions
• परीक्षा की दृष्टि से महत्वपूर्ण विषयों का विस्तृत वर्णन
• सरल एवं व्यवस्थित प्रस्तुति

Useful For

• B.Sc Physics 1st Semester Students
• State Universities of Uttar Pradesh
• NEP 2020 Based Curriculum
• Semester Examination Preparation
• Competitive Exam Foundation

Publication

Pragati Prakashan