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Calculus
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by
Robert T Smith
"Smith/Minton's Calculus, 3/e" focuses on student comprehension of calculus. The authors' writing style is clear and understandable, reminiscent of a classroom lecture, which enables students to better grasp techniques and acquire content mastery. Modern applications in examples and exercises connect the calculus with relevant and interesting ...
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Schaum's Outline of Complex Variables
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by
Murray R Spiegel
Master complex variables with "Schaum's" - the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love "Schaum's Outlines" because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these ...
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Multivariable Calculus
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by
C Henry Edwards, David E Penney
Designed for one-semester undergraduate level courses in multivariable calculus. This text combines traditional mainstream calculus with the most flexible approach to new ideas and calculator/computer technology. It contains problem sets and a fresh conceptual emphasis flavoured by new technological possibilities. The work includes around 3000 ...
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Analytic Pseudodifferential Operators for the Heisenberg Group and Local Solvability
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by
Geller
Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a suitable relative parametrix--an operator K such that LK is essentially the orthogonal projection onto the range of L. The analysis is by far most ...
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Several Complex Variables and Complex Manifolds
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Margaret J Field, Mike Field
This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the ...
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Multivariable Calculus
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by
Gerald L Bradley
This book blends much of the best aspects of calculus reform with the reasonable goals and methodology of traditional calculus. Readers benefit from an innovative pedagogy and a superb range of problems. Modeling is a major theme -- qualitative and quantitative problems demonstrate an extremely wide variety of mathematical, engineering, scientific ...
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Complex analytic geometry
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by
G Fischer
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Flavors of Geometry
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by
Silvio Levy (Editor)
Flavors of Geometry is a volume of lectures on four geometrically-influenced fields of mathematics that have experienced great development in recent years. Growing out of a series of introductory lectures given at the Mathematical Sciences Research Institute in January 1995 and January 1996, the book presents chapters by masters in their ...
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Analysis and Geometry on Complex Homogeneous Domains
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by
Jacques Faraut
A number of important topics in complex analysis and geometry are covered in this excellent introductory text. Written by experts in the subject, each chapter unfolds from the basics to the more complex. The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the essentials. The most ...
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Several Complex Variables
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by
Michael Schneider (Editor), Yum-Tong Siu (Editor), Silvio Levy (Editor)
Several Complex Variables is a central area of mathematics with strong interactions with partial differential equations, algebraic geometry, number theory, and differential geometry. The 1995-96 MSRI program on Several Complex Variables emphasized these interactions and concentrated on developments and problems of current interest that capitalize ...
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Complex analysis and geometry
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by
Ancona
Based on two conferences held in Trento, Italy, this volume contains 13 research papers and two survey papers on complex analysis and complex algebraic geometry. The main topics addressed by these leading researchers include: Mori theory polynomial hull vector bundles q-convexity Lie groups and actions on complex spaces hypercomplex structures ...
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Student solutions manual to accompany Multivariable calculus
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by
William G. McCallum
Work more effectively and check solutions as you go along with the book! This Student Solutions Manual is designed to accompany "Calculus: Multivariable, 4th Edition". It contains solutions to every other odd-numbered problem in the text for chapters 12-20. Striking a balance between concepts, modeling, and skills, this highly acclaimed book, ...
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Polynomial Convexity
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by
Edgar Lee Stout
This comprehensive monograph is devoted to the study of polynomially convex sets, which play an important role in the theory of functions of several complex variables. "Polynomial Convexity" presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-dimensional sets. It motivates the ...
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Modern Methods in Complex Analysis: The Princeton Conference in Honor of Gunning and Kohn
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by
Thomas Bloom (Editor), David W Catlin (Editor), Yum-Tong Siu (Editor)
The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, ...
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Holomorphic Functions and Integral Representations in Several Complex Variables
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by
R Michael Range
This is an introductory text in several complex variables, using methods of integral representations. It begins with elementary local results, discusses basic new concepts of the multi-dimensional theory such as pseudoconvexity and holomorphic convexity, and leads up to complete proofs of fundamental global results, both classical and new. The use ...
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Several Complex Variables and the Geometry of Real Hypersurfaces
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by
John P D'Angelo, D'Angelo P D'Angelo
"Several Complex Variables and the Geometry of Real Hypersurfaces" covers a wide range of information from basic facts about holomorphic functions of several complex variables through deep results such as subelliptic estimates for the Neumann problem on pseudoconvex domains with a real analytic boundary.The book focuses on describing the geometry ...
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Fourier Analysis in Several Complex Variables
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by
Leon Ehrenpreis
This text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. It begins by establishing the quotient structure theorem or fundamental principle of Fourier analysis, and then focuses on applications to partial differential equations. The final section ...
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Several Complex Variables and Banach Algebras
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by
Herbert Alexander, John Wermer
Many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. While function theory has often been employed to answer algebraic questions such as the existence of idempotents in a Banach algebra, concepts arising from the study of Banach algebras including ...
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An Introduction to Several Complex Variables and Partial Differential Equations
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by
Henrich G. W. Begehr, Abduhamid Dzhuraev, Heinrich Begher
This work includes introductory materials on complex analysis of several variables and material on analytic theory of partial differential equations, as well as on nonanalytic boundary value problems for systems of partial differential equations of elliptic type.
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Introduction to Complex Analysis in Several Variables
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by
Volker Scheidemann, V Schiedmann
This book gives a comprehensive introduction to complex analysis in several variables. It clearly focusses on special topics in complex analysis rather than trying to encompass as much material as possible. Many cross-references to other parts of mathematics, such as functional analysis or algebras, are pointed out in order to broaden the view and ...
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Isomonodromic Deformations and Frobenius Manifolds: An Introduction
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by
Claude Sabbah
The notion of a Frobenius structure on a complex analytic manifold appeared at the end of the seventies in the theory of singularities of holomorphic functions. Motivated by physical considerations, further development of the theory has opened new perspectives on, and revealed new links between, many apparently unrelated areas of mathematics and ...
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Function Theory of Several Complex Variables
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by
Steven G Krantz
This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory. While due homage is paid to the more traditional ...
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Explorations in Complex and Riemannian Geometry: A Volume Dedicated to Robert E. Greene
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by
Robert Everist Greene
This book contains contributions by an impressive list of leading mathematicians. The articles include high-level survey and research papers exploring contemporary issues in geometric analysis, differential geometry, and several complex variables. Many of the articles will provide graduate students with a good entry point into important areas of ...
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Selected Papers
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by
Hans Grauert
H. Grauert is one of the leading mathematicians in the world in the field of Several Complex Variables; through his research he not only shaped the development of this area decisively but also achieved some of the most important results. The articles selected as reflecting this influential research are published together for the first time in ...
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Several Complex Variables: Proceedings of the Mittag-Leffler Institute, 1987-1988
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by
John E. Fornaess (Editor)
This volume contains all research papers presented at the Mittag-Leffler Institute in Stockholm, Sweden, during 1987-1988. The work represents a broad spectrum of development in the field of complex variables.
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