Complex Variables (eBook)

Francis J. Flanigan (Autor)

eBook Download: EPUB

2013
384 Seiten
Dover Publications (Verlag)
978-0-486-31848-6 (ISBN)

Infos

Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Numerous problems and solutions. 1972 edition.

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A caution to mathematics professors: Complex Variables does not follow conventional outlines of course material. One reviewer noting its originality wrote: "e;A standard text is often preferred [to a superior text like this] because the professor knows the order of topics and the problems, and doesn't really have to pay attention to the text. He can go to class without preparation."e; Not so here — Dr. Flanigan treats this most important field of contemporary mathematics in a most unusual way. While all the material for an advanced undergraduate or first-year graduate course is covered, discussion of complex algebra is delayed for 100 pages, until harmonic functions have been analyzed from a real variable viewpoint. Students who have forgotten or never dealt with this material will find it useful for the subsequent functions. In addition, analytic functions are defined in a way which simplifies the subsequent theory. Contents include: Calculus in the Plane, Harmonic Functions in the Plane, Complex Numbers and Complex Functions, Integrals of Analytic Functions, Analytic Functions and Power Series, Singular Points and Laurent Series, The Residue Theorem and the Argument Principle, and Analytic Functions as Conformal Mappings. Those familiar with mathematics texts will note the fine illustrations throughout and large number of problems offered at the chapter ends. An answer section is provided. Students weary of plodding mathematical prose will find Professor Flanigan's style as refreshing and stimulating as his approach.

Produkt-Details

• Erscheint lt. Verlag: 16.8.2013
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: abstract algebra • Advanced Calculus • advanced math • algebra class • Algebraic • algebra text • Analytic • analytic functions and power series • and analytic functions as conformal mappings • answer section • Applications • applied math • assigned textbook • bartle • beginning graduate • Berge • books on algebra texts • books on applied maths • books on complex functions • books on differential equations • books on functional analysis • books on graph theories • books on level maths • books on mathematical thinkings • books on math histories • books on math students • books on numerical methods • books on pure mathematics • books on self studies • books on theory stands • bostock • Boyce • Buck • Bundle • calculus in the plane • Cambridge • Cauchy • Cauchy-Riemann equations • chapra • chartrand • Churchill • Coburn • coddington • Cole • combinatorial • Compactness • Complex Analysis • complex functions • complex numbers and complex functions • Conformal • CRC • Differential Equations • discrete • Dover • Edwards • Exercises • Fisher • flanigan • Fourier • Functional Analysis • Galois Theory • generating • graduate student • Graphs • graph theory • graph theory • Greenberg • hamiltonian • Hamming • Handbook • Hardy • Harmonic • Harmonic Functions • harmonic functions in the plane • highly disorganized • Illustrations • integrals • integrals of analytic functions • introductory text • intuitive understanding • Krantz • Laplace • level math • linear algebra • Manual • Marsden • Math • mathematical background • mathematical rigor • mathematical thinking • Mathematics • math history • math students • math text • Mendelson • metric • Modulus • Numerical Methods • odes • ordinary differential • Outlines • partial differential • Physics • Pinter • proofs • pure math • Pure Mathematics • Quadratic • Rigorous • saff • Science • self study • Self-study • singular points and laurent series • Solutions • Spaces • Springer • Stewart • Student • Suggestion • Taylor • Teacher • tenenbaum • Textbook • textbooks • Theorems • theory stands • the residue theorem and the argument principle • Tiles • Topological • Topology • Trudeau • Undergraduate Students • Zill
• ISBN-10: 0-486-31848-6 / 0486318486
• ISBN-13: 978-0-486-31848-6 / 9780486318486