Complex Analysis

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Iqukethe izikhangiso

Mayelana nalolu hlelo lokusebenza

La manothi aqukethe okulandelayo
izahluko ngendlela elula nenemininingwane:
Isahluko 1: Imiqondo Eyisisekelo kanye Nezinombolo Eziyinkimbinkimbi
Isahluko 2: Imisebenzi Yokuhlaziya noma Evamile noma Ye-Holomorphic
Isahluko sesi-3: Imisebenzi Esezingeni Eliphansi
Isahluko 4: Ukuhlanganiswa Okuyinkimbinkimbi
Isahluko 5: Uchungechunge Lwamandla kanye Nezinkolelo-mbono Ezihlobene
Isahluko 1: Imiqondo Eyisisekelo kanye Nezinombolo Eziyinkimbinkimbi

Isingeniso Sezinombolo Eziyinkimbinkimbi
Indiza Eyinkimbinkimbi (Umdwebo we-Argand)
Izingxenye Zangempela Nezengqondo
Ama-Conjugates ayinkimbinkimbi
I-Modulus (Inani Eliphelele) kanye Nokuphikisana
I-Polar Ifomu Lezinombolo Eziyinkimbinkimbi
Ukusebenza Ezinombolo Eziyinkimbinkimbi (Ukwengeza, Ukukhipha, Ukuphindaphinda, Ukwahlukanisa)
I-Exponentiation Eyinkimbinkimbi
Izimpande Zezinombolo Eziyinkimbinkimbi
I-Geometry Yendiza Eyinkimbinkimbi
I-Complex Conjugate kanye ne-Absolute Value Properties
Ifomula ka-Euler
Izicelo ku-Engineering and Physics
Isahluko 2: Imisebenzi Yokuhlaziya noma Evamile noma Ye-Holomorphic

Izincazelo kanye namagama
Izibalo zeCauchy-Riemann
Imisebenzi yokuhlaziya kanye nemisebenzi ye-Holomorphic
Izibonelo Zemisebenzi Yokuhlaziya
Harmonic Imisebenzi
Ukumepha Okuhlelekile
Imephu Yezakhiwo Zemisebenzi Yokuhlaziya
Ukuhlaziywa Kwemisebenzi Eyisisekelo
Isahluko sesi-3: Imisebenzi Esezingeni Eliphansi

Imisebenzi ye-Exponential
Imisebenzi ye-Logarithmic
Imisebenzi ye-Trigonometric
Imisebenzi ye-hyperbolic
Imisebenzi ye-Trigonometric ephambene kanye ne-Hyperbolic
Ukusikwa Kwegatsha Namaphuzu Egatsha
Ukuqhubeka kokuhlaziya
Umsebenzi we-Gamma
Umsebenzi we-Zeta
Isahluko 4: Ukuhlanganiswa Okuyinkimbinkimbi

Izinsimbi Zomugqa Endizeni Eyinkimbinkimbi
Indlela Yokuzimela kanye Nemisebenzi Engaba Khona
Ama-Contour Integrals
I-Cauchy's Integral Theorem
I-Cauchy's Integral Formula
Izicelo ze-Theorem kaCauchy
I-Theorem kaMorera
Izilinganiso zama-Integrals
Isahluko 5: Uchungechunge Lwamandla kanye Nezinkolelo-mbono Ezihlobene

I-Power Series Ukumelwa Kwemisebenzi Yokuhlaziya
Taylor Series kanye nethiyori kaTaylor
Laurent Series
Ubunye kanye ne-Residue Theorem
Ukuhlaziya emngceleni
Izinhlelo zokusebenza zochungechunge lwamandla
Isahluko 6: Ubunye kanye nokubala Kwezinsalela

Ukuhlukaniswa Kobunye (Ubunye Obubodwa, Ubunye obubalulekile)
Izinsalela kanye ne-Residue Theorem
Ukuhlolwa Kwezinsalela
Izinsalela kwa-Infinity
Izicelo ze-Residue Theorem
Izihlanganisi Zenani Eliyinhloko
Isahluko 7: Ukudwetshwa Kwemephu Okuhlelekile

Amamephu Ahlelekile Nezakhiwo zawo
Ukuguqulwa kwe-Möbius
Ukumepha Okuhlelekile Kwezifunda Ezilula
Izinhlelo zokusebenza zemephu ezihlelekile (isb., ukuxazulula izinkinga zomzimba)
Isahluko 8: Ukudidiyelwa kweContour

Amasu Okuhlanganiswa Kwe-Contour
Ukuhlanganiswa Kanye ne-Real Axis (Jordan's Lemma)
Izinsalela e-Poles
I-Cauchy's Residue Theorem Iphinde Yavakashelwa
Ukuhlolwa Kwama-Real Integrals Ngokusebenzisa Ukuhlanganiswa Kwe-Contour
Ukuhlanganiswa Okuyinkimbinkimbi ku-Physics nobunjiniyela
Isahluko 6: Ubunye kanye nokubala Kwezinsalela
Isahluko 7: Ukudwetshwa Kwemephu Okuhlelekile
Isahluko 8: Ukudidiyelwa kweContour

Yini entsha

✨Major improvements in Complex Analysis app!
✅ PDF view upgraded to WebView for smoother navigation
✅ Horizontal view added for better reading experience
✅ Bookmark feature included for easy reference
✅MCQs and course content enhanced for self-assessment
✅ App UI improved for smoother and faster usage

🚀This update transforms the previous version into a more advanced, user-friendly learning tool!