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A First Course in Complex Analysis with Applications, 2/e

	A First Course In Complex Analysis With Applications, 2/E by Dennis G. Zill
	Price : Rs 695.00
	Your Price : Rs 625.50

Description: The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manner. With Zill’s clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

Key features:
• Portions of the text and examples have been revised or rewritten to clarify or expand upon the topics at hand.
• Each chapter opens with an overview of the material to be covered in the chapter. End-of-chapter materials include Computer Lab Assignments and a Chapter Review Quiz. Numerous Exercises are included at the end of each section.
• Remarks conclude most sections and discuss the relationships and differences between important concepts.
• Proof Problems offer an additional learning experience for students, who are supported through each step of the process by hints and guides.

Contents:
Chapter 1: Complex Numbers and the Complex Plane • Complex numbers and their properties • Complex plane • Polar form of complex numbers • Power and roots • Sets of points in the complex plane • Applications • Chapter 1 Review quiz

Chapter 2: Complex Functions and Mappings • Complex functions • Complex functions as mappings • Linear mappings • Special power functions • Reciprocal function • Limits and continuity • Applications • Chapter 2: Review quiz

Chapter 3: Analytic Functions • Differentiability and analyticity • Cauchy- Reimann equations • Harmonic functions • Applications • Chapter 3 Review quiz

Chapter 4: Elementary Functions • Exponential and logarithmic functions • Complex powers • Trigonometric and hyperbolic functions • Inverse trigonometric and hyperbolic functions • Applications • Chapter 4 Review Quiz

Chapter 5: Integration in the Complex Plane • Real integrals • Complex integrals • Cauchy-Goursat Theorem • Independence of Path • Cauchy’s Integral formulas and their consequences • Applications • Chapter 5 Review quiz

Chapter 6: Series and Residues • Sequences and series • Taylor series • Laurent series • Zeros and poles • Residue and residue theorem • Some consequences of the residue theorem • Applications • Chapter 6 Review quizChapter 7: Conformal Mappings • Conformal mapping • Linear fractional transformations • Schwartz- Christoffel Transformations • Poisson integral formulas • Applications 1 Chapter 7 Review quiz

Appendices • Proof of Theorem 2.6.1 APP-1 • Proof of the Cauchy- Goursat Theorem • Table of conformal mappingsISBN - 9789380108193

Pages : 458