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Details for:
Tisdell C. Introduction to Complembers 2015
tisdell c introduction complembers 2015
Type:
E-books
Files:
1
Size:
3.3 MB
Uploaded On:
Jan. 23, 2023, 4:49 p.m.
Added By:
andryold1
Seeders:
0
Leechers:
0
Info Hash:
1A616C325622C8800BF30A8553B8D7C1BC7D413A
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Textbook in PDF format This ebook makes learning "complex" numbers easy through an interactive, fun and personalized approach. Features include: live YouTube video streams and closed captions that translate to 90 languages! Complex numbers "break all the rules" of traditional mathematics by allowing us to take a square root of a negative number. This "radical" approach has fundamentally changed the capabilities of science and engineering to enhance our world through such applications as: signal processing, control theory, electromagnetism, fluid dynamics, quantum mechanics, cartography, and vibration analysis. A particularly beautiful connection between art and complex numbers lies in fractals, such as the Mandelbrot set. What is a complex number? Video 1: Complex numbers are AWESOME Basic operations involving complex numbers Video 2: How to add/subtract two complex numbers Video 3: How to multiply a real number with a complex number Video 4: How to multiply complex numbers together Video 5: How to divide complex numbers Video 6: Complex numbers: Quadratic formula What is the complex conjugate? Video 7: What is the complex conjugate? Video 8: Calculations with the complex conjugate Video 9: How to show a number is purely imaginary Video 10: How to prove the real part of a complex number is zero Video 11: Complex conjuage and linear systems Video 12: When are the squares of z and its conjugate equal? Video 13: Conjugate of products is product of conjugates Video 14: Why complex solutions appear in conjugate pairs How big are complex numbers? Video 15: How big are complex numbers? Video 16: Modulus of a product is the product of moduli Video 17: Square roots of complex numbers Video 18: Quadratic equations with complex coefcients Video 19: Show real part of complex number is zero Polar trig form Video 20: Polar trig form of complex number Polar exponential form Video 21: Polar exponential form of a complex number Revision Video 22: Intro to complex numbers + basic operations Revision Video 23: Complex numbers and calculations Video 24: Powers of complex numbers via polar forms Powers of complex numbers Video 25: Powers of complex numbers Video 26: What is the power of a complex number? Video 27: Roots of comples numbers Video 28: Complex numbers solutions to polynomial equations Video 29: Complex numbers and tan (π/12) Video 30: Euler’s formula: A cool proof De Moivre’s formula Video 31: De Moivre’s formula: A cool proof Video 32: Trig identities from De Moivre’s theorem Video 33: Trig identities: De Moivre’s formula Connecting sin, cos with e Video 34: Trig identities and Euler’s formula Video 35: Trig identities from Euler’s formula Video 36: How to prove trig identities WITHOUT trig! Revision Video 37: Complex numbers + trig identities Regions in the complex plane Video 38: How to determine regions in the complex plane Video 39: Circular sector in the complex plane Video 40: Circle in the complex plane Video 41: How to sketch regions in the complex plane Complex polynomials Video 42: How to factor complex polynomials Video 43: Factorizing complex polynomials Video 44: Factor polynomials into linear parts Video 45: Complex linear factors
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Tisdell C. Introduction to Complex Numbers 2015.pdf
3.3 MB
