Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc
1. Definition of Function 2. Representation of Complex Variable 3. Absolute Convergence 4. Elementary Functions 5. Continuity of Functions 6. Graphical Representation of Functions 7. Derivatives 8. Conformal Representation 9. Examples of Conformal Representation 10. Conformal Representation of a Sphere 11. Conjugate Functions 12. Application to Fluid Motion 13. Singular Points 14. Point at Infinity 15. Integral of a Function 16. Reduction of Complex Integrals to Real 17. Cauchy's Theorem 18. Application of Cauchy's Theorem 19. Theorems on Curvilinear Integrals 20. Taylor's Series 21. Laurent's Series 22. Fourier's Series 23. Uniform Convergence 24. Power Series 25. Uniform Convergence of Power Series 26. Uniform Functions with Singular Points 27. Residues 28. Integral of a Uniform Function 29. Weierstrass's Theorem 30. Mittag-Leffler's Theorem 31. Singular Lines and Regions 32. Functions Having n Values 33. Algebraic Functions 34. Integrals of Algebraic Functions 35. Functions of Several Variables 36. Differential Equations
"Functions of a Complex Variable" by "Thomas Fiske" is a foundational textbook in "complex analysis" that introduces the theory of functions of a complex variable. It explains core ideas such as "analytic functions", series expansions, and properties of complex mappings. The book provides mathematical rigor and conceptual clarity, helping students understand how complex functions behave and how analysis applies to advanced mathematics. The text develops fundamental concepts of function theory, including continuity and differentiability in the complex plane. Fiske’s systematic approach reflects early analytical methods and contributes to the historical development of complex analysis. Although written in an older style, its ideas remain relevant for understanding mathematical structures and analytic reasoning. For learners of "complex function theory", this book serves as a valuable reference. It bridges classical mathematical thought with foundational ideas of modern analysis, supporting deeper study of function behavior and analytic techniques. Its emphasis on logical reasoning and theoretical development makes it significant for students and researchers in mathematics.
Title: Functions of a Complex Variable by Thomas Fiske Publisher: J. Wiley Year: 1906 Pages: 118 Type: PDF Language: English ISBN-10 #: 1362161101 ISBN-13 #: 978-1362161103 License: Public Domain Work Amazon: Amazon
The author Thomas Scott Fiske was an American mathematician known for his work in "complex analysis" and mathematical education. He helped develop early research in function theory and contributed to academic mathematics in the United States. His work "Functions of a Complex Variable" explores "analytic functions" and "complex variables" with systematic proofs. It became an important educational resource for understanding "function theory" and mathematical concepts.
Join with us :-
© 2025 - 2026 Free Mathematics Books
.