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Invitation to Complex Analysis

Invitation to Complex Analysis

Invitation to Complex Analysis

2nd Edition
Ralph P. Boas
Harold P. Boas, Texas A & M University
August 2010
This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Hardback
9780883857649
NZD$150.00
inc GST
Hardback

    Ideal for a first course in complex analysis, this book can be used either as a classroom text or for independent study. Written at a level accessible to advanced undergraduates and beginning graduate students, the book is suitable for readers acquainted with advanced calculus or introductory real analysis. The treatment goes beyond the standard material of power series, Cauchy's theorem, residues, conformal mapping, and harmonic functions by including accessible discussions of intriguing topics that are uncommon in a book at this level. The flexibility afforded by the supplementary topics and applications makes the book adaptable either to a short, one-term course or to a comprehensive, full-year course. Detailed solutions of the exercises both serve as models for students and facilitate independent study. Supplementary exercises, not solved in the book, provide an additional teaching tool. This second edition has been painstakingly revised by the author's son, himself an award-winning mathematical expositor.

    • Exercises interspersed in the text, with detailed solutions, allow students to test their understanding
    • Covers the standard material on complex analysis whilst also discussing intriguing additional topics
    • Topics are discussed in commonly encountered terms, rather than in a general, abstract setting

    Product details

    August 2010
    Hardback
    9780883857649
    339 pages
    262 × 184 × 20 mm
    0.75kg
    89 b/w illus.
    This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.

    Table of Contents

    • Preface
    • 1. From complex numbers to Cauchy's Theorem
    • 2. Applications of Cauchy's Theorem
    • 3. Analytic continuation
    • 4. Harmonic functions and conformal mapping
    • 5. Miscellaneous topics
    • Index.
      Author
    • Ralph P. Boas

      Ralph P. Boas (1912–1992), a well-known mathematical researcher, educator, author, editor, and translator, received his Ph.D. from Harvard University in 1937. He was executive editor of Mathematical Reviews between 1945 and 1950, and spent the next three decades on the faculty at Northwestern University, retiring in 1980 as Henry S. Noyes Professor Emeritus of Mathematics. His activities with the Mathematical Association of America (MAA) included chairing the Committee on the Undergraduate Program in Mathematics, serving as MAA President (1973–1974), and editing The American Mathematical Monthly (1976–1981); the MAA awarded him the Lester R. Ford Award for expository excellence in 1978 and the Award for Distinguished Service to Mathematics in 1981. He served the American Mathematical Society both as a vice president and as a trustee. His other books include Entire Functions, the MAA Carus Monograph A Primer of Real Functions, and Lion Hunting and Other Mathematical Pursuits. He published numerous articles in mathematical journals.

    • Prepared for publication by
    • Harold P. Boas , Texas A & M University

      Harold P. Boas received his PhD from MIT in 1980. Between 1980 and 1984 he was J. F. Ritt Assistant Professor of Mathematics at Columbia University. Since 1984 he has been on the faculty at Texas A & M University. He has served as book-review editor of The American Mathematical Monthly (1998–1999) and as editor of the Notices of the American Mathematical Society (2001–2003). In 1995, he and his collaborator Emil J. Straube received the Stefan Bergman Prize from the American Mathematical Society for their research on the boundary regularity theory of the multidimensional inhomogeneous Cauchy-Riemann equations. The Mathematical Association of America has recognized him for an outstanding expository article with the Lester R. Ford Award (2007) and the Chauvenet Prize (2009). He received the Student Led Award for Teaching Excellence from Texas A & M University in 2009. He previously revised his father's A Primer of Real Functions (fourth edition, 1996).