Complex Analysis: A First Course 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 Analysis, This Text Discusses The Theory Of The Most Relevant Mathematical Topics In A Student-Friendly Manner. With A Clear And Straightforward Writing Style, Concepts Are Introduced Through Numerous Examples, Illustrations, And Applications. Each Section Of The Text Contains An Extensive Exercise Set Containing A Range Of Computational, Conceptual, And Geometric Problems. In The Text And Exercises, 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 Devoted Exclusively To The Applications Of Complex Analysis To Science And Engineering, Providing Students With The Opportunity To Develop A Practical And Clear Understanding Of Complex Analysis. New And Key Features: Clarity Of Exposition Supported By Numerous Examples Extensive Exercise Sets With A Mix Of Computational And Conceptual Problems Applications To Science And Engineering Throughout The Text New And Revised Problems And Exercise Sets Throughout Portions Of The Text And Examples Have Been Revised Or Rewritten To Clarify Or Expand Upon The Topics At Hand The Mathematica Syntax From The Second Edition Has Been Updated To Coincide With Version 8 Of The Software.

Building off the success of Dennis G. Zill and Jacqueline M. Dewar's popular Essentials version, the new Sixth Edition of Precalculus with Calculus Previews continues to include all of the outstanding features and learning tools found in the original text while incorporating additional topics of coverage that some courses may require. With a continued effort to keep the text complete, yet concise, the authors have expanded the number of chapters making the text a clear choice for many mainstream courses. Additional material includes rotation of conics in the rectangular coordinate system, sequences and series, mathematical induction, the Binomial Theorem, systems of equations, partial fractions, systems of inequalities, a brief introduction to counting and probability, and a full discussion of complex numbers. This student-friendly, full-color text offers numerous exercise sets and examples to aid in students' learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the subtext of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses. New to the Sixth Edition: - Increased number of student aids throughout the text including, examples, figures, marginal annotations, in-example guideline annotations, and Notes from the Classroom sections - Many sections have been rewritten to increase clarity and improve student understanding - Increased number of Calculator/Computer Problems and For Discussion Problems throughout the text - An expanded Final Examination consists of fill-in-the-blank questions, true/false questions, and review exercises - And much more! Key Features: Translating Words into Functions section illustrates how to translate a verbal description into a symbolic representation of a function and demonstrates these translations with actual calculus problems. Chapter Review Exercises include problems that focus on algebra, graphing and function theory, the sub-text of so many calculus problems. Review questions include conceptual fill-in-the-blank and true-false questions, as well as numerous thought-provoking exercises. The Calculus Preview found at the end of each chapter offers students a glimpse of a single calculus concept along with the algebraic, logarithmic, and trigonometric manipulations that are necessary for the successful completion of typical problems related to that concept. Available with WebAssign.