Krantz in this second edition of a carus monograph classic, steven g. It is not a book of mathematical theory but a book of mathematical practice. Elementary introduction to the lebesgue integral by steven g. Explorations in complex analysis cornerstones by steven g. Professor krantzs research interests include harmonic analysis, partial differential equations, geometry, interpolation of operators, complex function theory, and real analysis. In this second edition of a carus monograph classic, steven g. You might also try functions of one complex variable by john b. The new springer open access journal complex analysis and its synergies casy has a distinguished editorial board and editorinchief steven g. Steven krantz born february 3, 1951, american educator. He has previously taught at ucla, princeton university, and pennsylvania state university. The purpose of this book is to explain how various aspects of complex analysis. Krantz skip to main content we use cookies to distinguish you from other users and to provide you with a better experience on our websites. He is a professor of mathematics at washington university in st. Browse hundreds of titles now and rent used complex analysis textbooks to suit your needs and your mathematics college courses today.
Geometric function theory, explorations in complex analysis. Its one of the reasons why students across america love our service, because it works both ways. The geometric viewpoint carus mathematical monographs 9780883850350 by krantz, steven g. Find all the books, read about the author, and more. He also introduces the bergmann kernel and metric and. Krantz has received the chauvenet prize, awarded for outstanding mathematical expository writing.
In this second edition of a carus monograph classic, steven krantz develops material on classical noneuclidean geometry. Steven george krantz born february 3, 1951 is an american scholar, mathematician, and writer. He has worked as an editor of several book series, research journals, and for the notices of the ams. Buy cheap complex analysis textbooks online complex. Presented from the point of view of modern work in the field, this new book addresses advanced topics in complex analysis that verge on current areas of research, including invariant geometry, the bergman metric, the automorphism groups of domains, harmonic measure, boundary regularity of conformal maps, the poisson kernel, the. Partial differential equations and complex analysis. Cambridge core real and complex analysis complex analysis by steven g. Additionally, krantz has edited journals such as the notices of the american mathematical society and the journal of geometric analysis. Analytic functions, functions of a complex variable, cauchy riemann equations, complex integration, theorems on complex integration, cauchy s integral formula, series of complex numbers, residue integration, taylor series, computation of. Jul 07, 2008 i second the ahlfors recommendation for what you are looking for.
Parks, function theory of one complex variable with robert e. Harmonic and complex analysis in several variables. Krantz is the founding editor of the journal of geometric analysis as well as complex analysis and its synergies. The monograph is largely selfcontained and develops the harmonic analysis of several complex variables from the first principles. The author adroitly weaves these varied topics to reveal a number of. This book is a text for a firstyear graduate course in complex analysis. The book is an excellent introduction to a variety of topics and presents many of the basic elements of linear partial differential equations in the context of how they are applied to the study of complex analysis. He has written more than 75 books and more than 195 scholarly papers and is the founding editor of the journal of geometric analysis and complex analysis and its synergies. Steven george krantz is an american scholar and author. Professor krantzs research interests include harmonic analysis and partial differential equations.
Analytic functions, functions of a complex variable, cauchy riemann equations, complex integration, theorems on complex integration, cauchys integral formula, series of complex numbers, residue integration, taylor series, computation of residues at poles, zeros of analytic functions, evaluation of improper integrals. Though krantz warns that this handbook contains no theory. Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a stateoftheart entree at. The geometric viewpoint was first published in 1992 in the maas carus mathematical monographs series. All the basic ideas of complex analysis, as well as many typical applica tions, are treated. The caratheodory and kobayashiroyden metrics by way of dual extremal problems. This book is a handy com pendium of all basic facts about complex variable theory. Seminar, university park pa, march 1014, 1986 lecture notes in mathematics series by steven g. We buy back complex analysis books too, so if you want to sell some books to us, wed be happy to buy them. This is good for more advanced topics in classic function theory, probably suitable for advanced ugpg.
He shows how it can be developed in a natural way from the invariant geometry of the complex disk. In this second edition of a carus monograph classic, steven krantz develops. Krantz is a professor of mathematics at washington university in st. This book is written to be a convenient reference for the working scientist, student, or engineer who needs to know and use basic concepts in complex analysis. This modern book can be warmly recommended to mathematicians as well as to users of applied texts in complex analysis. Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research methodically designed with individual chapters containing a rich collection of exercises, examples, and illustrations. The author of 165 scholarly articles and 60 books, krantz is the is the recipient of the chauvenet prize, the beckenbach book award, and the ucla alumni foundation distinguished teaching award. Function theory of several complex variables ams chelsea. He wrote a lot of scholarly articles and books and edited some scholarly journals.
This quick and easytouse guide provides a solid grounding in the fundamental area of complex variables. Harmonic and complex analysis in several variables steven g. The book is an excellent introduction to a variety of topics. He has published more than 150 research articles and over 50 books. Greene, the implicit function theorem with harold parks and a panorama of harmonic analysis and mathematical apocrypha for the maa. He has authored more than 250 research papers and more than 5 books. Presented from the point of view of modern work in the field, this new book addresses advanced topics in complex analysis that verge on current areas of research. Krantz, a leading worker in complex analysis and a winner of the chauvenet prize for outstanding mathematical exposition, develops material on classical noneuclidean geometry. He has written nearly 195 scholarly papers and more.
This handbook of complex variables is a comprehensive references work for scientists, students and engineers who need to know and use the basic concepts in complex analysis of one variable. Geometric function theory explorations in complex analysis. The author of 165 scholarly articles and 60 books, he is the is the recipient of the chauvenet prize, the beckenbach book award, and the ucla alumni foundation distinguished teaching award. Download for offline reading, highlight, bookmark or take notes while you read elementary introduction to the lebesgue integral. This book is an exploration in complex analysis as a synthesis of many different areas. It covers classic topics, such as the schwarz lemma and riemann mapping theorem, and moves onto topics in harmonic analysis and abstract algebra. This link will acquaint you with the new journal casy. He shows how it can be developed in a natural way from the invariant geometry of the complex disc. Another good book is function theory of one complex variable by robert e. Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a stateoftheart entree at the intersection of two important fields of research. Explorations in harmonic analysis with applications to complex function theory and the heisenberg group steven g. Apr 17, 2018 elementary introduction to the lebesgue integral ebook written by steven g.
Complex variables is a precise, elegant, and captivating subject. It is dedicated to creating a forum for work that exhibits the interplay between complex analysis and other fields of mathematics. Partial differential equations and complex analysis explores the background and plumbs the depths of this symbiosis. All basic ideas of complex analysis and many typical applications are treated. The author of 165 scholarly articles and 60 books, krantz is the is the recipient of the chauvenet prize, the beckenbach book award, and the ucla alumni foundation. Free complex analysis books download ebooks online textbooks. Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of several complex variables. Front cover robert everist greene, steven george krantz. The climax of the book is an introduction to several. Buy handbook of complex variables on free shipping on qualified orders. Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a stateoftheart entree at the intersection of two important fields of. Handbook of complex variables steven g krantz springer.