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Geometric Analysis of the Bergman Kernel and Metric
This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and... More
Language: ENGCopyright: 2013 
Real Analysis and Foundations (4th Edition)
The first three editions of this book have become well established, and have attracted a loyal readership. Students find the book to be concise, accessible, and complete. Instructors find the book to be clear, authoritative, and dependable. We continue to listen to our readership and to revise the b... More
Language: ENGCopyright: 2017 
Harmonic and Complex Analysis in Several Variables
Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a stateoftheart entr#65533;e at the intersection of two important fields of research: complex analysis and harmonic analysis. Written with the graduate student in mind, it is assumed that the r... More
Language: ENGCopyright: 2017 
Partial Differential Equations and Complex Analysis (Studies in Advanced Mathematics #6)
Ever since the groundbreaking work of J.J. 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. Partial Differential Equations and Complex Analysis explores the background and plum... More
Language: ENGCopyright: 1992 
The Theory and Practice of Conformal Geometry (Aurora: Dover Modern Math Originals)
In this original text, prolific mathematics author Steven G. Krantz addresses conformal geometry, a subject that has occupied him for four decades and for which he helped to develop some of the modern theory. This book takes readers with a basic grounding in complex variable theory to the forefront ... More
Language: ENGCopyright: 2016 
The Elements of Advanced Mathematics (Textbooks in Mathematics)
<p>The Elements of Advanced Mathematics, Fourth Edition is the latest edition of the author’s bestselling series of texts. Expanding on previous editions, the new Edition continues to provide students with a better understanding of proofs, a core concept for higher level mathematics. To meet the nee... More
Language: ENGCopyright: 2018 
Complex Variables: A Physical Approach with Applications (Textbooks in Mathematics #Vol. 40)
The idea of complex numbers dates back at least 300 years—to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical ... More
Language: ENGCopyright: 2019 
Essentials of Mathematical Thinking (Textbooks in Mathematics)
Essentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today. Increasingly, our world is driven by mathematics in all aspects of life. The book is an excellent introduction to the world of mathematics for students not majoring in mathematical studies. <P>... More
Language: ENGCopyright: 2018 
Differential Equations: Theory,Technique and Practice with Boundary Value Problems (Textbooks In Mathematics Ser. #30)
Differential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cuttingedge techniques for a contemporary, undergraduatelevel, one or twosemester course on ordinary differential equations. Authored by a widely respected researcher and teacher, th... More
Language: ENGCopyright: 2016 
Elementary Introduction to the Lebesgue Integral (Textbooks in Mathematics)
It is important and useful to have a text on the Lebesgue theory that is accessible to bright undergraduates. This is such a text. Going back to the days of Isaac Newton and Gottfried Wilhelm von Leibniz, and even to Newton's teacher Isaac Barrow, the integral has been a mainstay of mathematical an... More
Language: ENGCopyright: 2018 
A Mathematical Odyssey: Journey from the Real to the Complex
Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a crosssection of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and impo... More
Language: ENGCopyright: 2014 
The Corona Problem
The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toront... More
Language: ENGCopyright: 2014