"This is the second, improved edition of the only existing monograph devoted to real-analytic functions, whose theory is rightly considered in the preface 'the wellspring of mathematical analysis.' Organized in six parts, [with] a very rich bibliography and an index, this book is both a map of the subject and its history. Proceeding from the most elementary to the most advanced aspects, it is useful for both beginners and advanced researchers. —MATHEMATICAL REVIEWS "Bringing together results scattered in various journals or books and presenting them in a clear and systematic manner, the book is of interest first of all for analysts, but also for applied mathematicians and researchers in real algebraic geometry." —ACTA APPLICANDAE MATHEMATICAE
A Primer of Real Analytic Functions
This succinct and enlightening overview is a required reading for all those interested in the subject . We hope you find this book useful in shaping your future career & Business.
See R. Darst , Most infinitely differentiable functions are nowhere analytic , Canadian Mathematical Bulletin 16 ( 1973 ) , 597-598 ; F. S. Cater , Differentiable , nowhere analytic functions , American Mathematical Monthly 91 ( 1984 ) ...
H. Grauert, On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math. 68 (1958), 460–472. ... MR0320743 (47:9277) S. Krantz, H. R. Parks, A Primer of Real Analytic Functions, Birkhäuser, Basel 1992.
An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.
The inverse of the Möbius transformation w = (az + b)/(cz + d) is again a Möbius transformation: explicitly, z = (dw – b)/(–cw + a). The Möbius transformations form a group under composition. EXERCISE 25.1 A Möbius transformation that ...
This book is directed at introducing and bringing up to date current research in the area of univalent functions, with an emphasis on the important subclasses, thus providing an accessible resource suitable for both beginning and ...
This is the first primary introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations.
Examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients.
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