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Mathematical Tools for Physics by J. Nearing is a nonfiction available to read on EtoBox.
What is Mathematical Tools for Physics about?
CONTENTS 2 INTRODUCTION 5 BIBLIOGRAPHY 7 1.BASIC STUFF 9 1.Trigonometry 9 Radians 9 Hyperbolic Functions 10 2.Parametric Differentiation 13 3.Gaussian Integrals 14 4.erf and Gamma 16 Why erf? 18 5.Differentiating 19 6.Integrals 20 Fundamental Thm. of Calculus 22 Riemann-Stieljes Integrals 23 Yes 24 Partial Integration 27 7.Polar Coordinates 28 8.Sketching Graphs 29 Problems 32 2.INFINITE SERIES 38 1.The Basics 38 2.Deriving Taylor Series 40 3.Convergence 42 Ratio Test 42 Integral Test 43 Quicker Comparison Test 44 Absolute Convergence 45 4.Series of Series 46 5.Power series, two variables 47 6.Stirling's Approximation 49 Asymptotic 50 Probability Distribution 50 7.Useful Tricks 53 8.Diffraction 54 9.Checking Results 58 Electrostatics Example 60 Estimating a tough integral 62 Problems 64 3.COMPLEX ALGEBRA 73 1.Complex Numbers 73 2.Some Functions 74 Complex Exponentials 76 3.Applications of Euler's Formula 77 Complex Conjugate 79 Examples 80 Roots of Unity 80 4.Logarithms 81 5.Mapping 82 Problems 84 4.DIFFERENTIAL EQUATIONS 91 1.Linear Constant-Coefficient 91 Damped Oscillator 94 2.Forced Oscillations 95 3.Series Solutions 99 Regular Singular Points 99 4.Trigonometry via ODE's 103 5.
Who reads Mathematical Tools for Physics?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- J. Nearing
- Language
- EN
- Category
- nonfiction
- Subjects
- Science, Physics, Stem
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