Search: ‘Steven G. Krantz (Washington University, St Louis)’

Complex Analysis: The Geometric Viewpoint

Steven G. Krantz (Washington University, St Louis)

Krantz develops material on classical non-Euclidean geometry and provides profound applications, some of which have never appeared in print before. The new edition represents a considerable polishing and re-thinking of…

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A Guide to Real Variables

Steven G. Krantz (Washington University, St Louis)

This concise guide is an aid and conceptual support for students taking an undergraduate real analysis course. It covers the core topics and focuses on concepts, results, examples and illustrative…

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A Guide to Functional Analysis

Steven G. Krantz (Washington University, St Louis)

Functional analysis occupies a central role in modern mathematics. This book provides a quick but precise and careful introduction to the subject. It covers all the basics that a beginning…

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Mathematical Apocrypha Redux: More Stories and Anecdotes of Mathematicians and the Mathematical

Steven G. Krantz (Washington University, St Louis)

A companion to Mathematical Apocrypha, this second volume of anecdotes, stories, quips, and ruminations about mathematics and mathematicians is sure to please. The purpose of this lively, engaging, and informative…

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A Guide to Topology

Steven G. Krantz (Washington University, St Louis)

An introduction which teaches students all the basic ideas and techniques of topology. It is filled with examples and illustrations to aid learning. Graduate or advanced undergraduate students will find…

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A Mathematician Comes of Age

Steven G. Krantz (Washington University, St Louis)

This book treats the maturation process for a mathematics student with description and analysis of how a student can develop into a sophisticated thinker who can understand abstract concepts and…

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An Episodic History of Mathematics: Mathematical Culture through Problem Solving

Steven G. Krantz (Washington University, St Louis)

An overview of the history of mathematics which introduces the genesis of mathematical ideas. Covering mathematical traditions from ancient times to the twentieth century, this book gives readers a sense…

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Complex Analysis: The Geometric Viewpoint

Steven G. Krantz (Washington University, St Louis)

Explains how complex analysis can be studied using methods of geometry.

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Boundary Behavior of Holomorphic Functions

Fausto Di Biase,Steven G Krantz (Washington University in St Louis)

This monograph examines the boundary behavior of holomorphic functions in several complex variables. Moving beyond the early ideas of Fatou and others, Koranyi and then Stein in the late 1960s…

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Elementary Introduction to the Lebesgue Integral

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

This textbook offers a rare opportunity to teach Lebesgue integration to undergraduates. Focusing on the real line, the author introduces the topic in an accessible way, thus encouraging students to…

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Differential Equations: Theory,Technique and Practice with Boundary Value Problems

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

Preceded by: Differential equations: theory, technique, and practice / George F. Simmons and Steven G. Krantz (New York, NY: McGraw-Hill Higher Education, 2007).

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Differential Equations: Theory, Technique, and Practice

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

This new edition is re-organized to make it more useful and more accessible. The most frequently taught topics are now up front. And the major applications are isolated in their…

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Essentials of Mathematical Thinking

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

This title may be thought of as a book for nonmathematicians taking an undergraduate mathematics course. Thus, it will have minimal mathematical prerequisites and very few equations. It will be…

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Real Analysis and Foundations

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

This new edition continues the effort to make the book accessible to a broader audience. Many students who take a real analysis course do not have the ideal background. The…

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The Elements of Advanced Mathematics

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

This edition offers a more instructive Preface to assist instructors on developing the course they prefer. The prerequisites are more explicit and provide a roadmap for the course. Sample syllabi…

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Essentials of Mathematical Thinking

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

This title may be thought of as a book for nonmathematicians taking an undergraduate mathematics course. Thus, it will have minimal mathematical prerequisites and very few equations. It will be…

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Foundations of Analysis

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

Foundations of Analysis covers the basics of real analysis for a one- or two-semester course. In a straightforward and concise way, it helps students understand the key ideas and apply…

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Foundations of Analysis

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

Foundations of Analysis covers the basics of real analysis for a one- or two-semester course. In a straightforward and concise way, it helps students understand the key ideas and apply…

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Convex Analysis

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject…

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Convex Analysis

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject…

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Complex Variables: A Physical Approach with Applications

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

Complex Variables: A Physical Approach with Applications, Second Edition offers a notable revision. The emphasis remains on theory and practice. The first part of the text focuses on the fundamental…

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Transition to Analysis with Proof

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to…

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Differential Equations: A Modern Approach with Wavelets

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

This new book from one of the most published authors in all of mathematics is an attempt to offer a new, more modern take on the Differential Equations course. Because…

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Transition to Analysis with Proof

Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to…

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Partial Differential Equations and Complex Analysis

Steven G. Krantz (Washington University, St. Louis, Missouri, USA),Estela A. Gavosto,Marco M. Peloso

Ever since the groundbreaking work of JJ Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of…

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Partial Differential Equations and Complex Analysis

Steven G. Krantz (Washington University, St. Louis, Missouri, USA),Estela A. Gavosto,Marco M. Peloso

Ever since the groundbreaking work of JJ Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of…

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