Krantz, Steven G. (Steven George) 1951
Overview
Works:  125 works in 832 publications in 4 languages and 31,476 library holdings 

Genres:  History Popular works Anecdotes Handbooks, manuals, etc Study guides 
Roles:  Author, Editor 
Classifications:  QA331.7, 515 
Publication Timeline
.
Most widely held works by
Steven G Krantz
Calculus demystified
by
Steven G Krantz(
)
36 editions published between 2002 and 2011 in English and Spanish and held by 2,851 WorldCat member libraries worldwide
Explains how to understand calculus in a more intuitive fashion. Uses practical examples and real data. Covers both differential and integral calculus
36 editions published between 2002 and 2011 in English and Spanish and held by 2,851 WorldCat member libraries worldwide
Explains how to understand calculus in a more intuitive fashion. Uses practical examples and real data. Covers both differential and integral calculus
An episodic history of mathematics mathematical culture through problem solving
by
Steven G Krantz(
)
9 editions published in 2010 in English and held by 1,517 WorldCat member libraries worldwide
"An Episodic History of Mathematics delivers a series of snapshots of mathematics and mathematicians from ancient times to the twentieth century. Giving readers a sense of mathematical culture and history, the book also acquaints readers with the nature and techniques of mathematics via exercises. It introduces the genesis of key mathematical concepts. For example, while Krantz does not get into the intricate mathematical details of Andrew Wiles's proof of Fermat's Last Theorem, he does describe some of the streams of thought that posed the problem and led to its solution. The focus in this text, moreover, is on doing  getting involved with the mathematics and solving problems. Every chapter ends with a detailed problem set that will provide students with avenues for exploration and entry into the subject. It recounts the history of mathematics; offers broad coverage of the various schools of mathematical thought to give readers a wider understanding of mathematics; and includes exercises to help readers engage with the text and gain a deeper understanding of the material."Publisher's description
9 editions published in 2010 in English and held by 1,517 WorldCat member libraries worldwide
"An Episodic History of Mathematics delivers a series of snapshots of mathematics and mathematicians from ancient times to the twentieth century. Giving readers a sense of mathematical culture and history, the book also acquaints readers with the nature and techniques of mathematics via exercises. It introduces the genesis of key mathematical concepts. For example, while Krantz does not get into the intricate mathematical details of Andrew Wiles's proof of Fermat's Last Theorem, he does describe some of the streams of thought that posed the problem and led to its solution. The focus in this text, moreover, is on doing  getting involved with the mathematics and solving problems. Every chapter ends with a detailed problem set that will provide students with avenues for exploration and entry into the subject. It recounts the history of mathematics; offers broad coverage of the various schools of mathematical thought to give readers a wider understanding of mathematics; and includes exercises to help readers engage with the text and gain a deeper understanding of the material."Publisher's description
Complex analysis : the geometric viewpoint
by
Steven G Krantz(
Book
)
21 editions published between 1990 and 2011 in English and held by 1,280 WorldCat member libraries worldwide
21 editions published between 1990 and 2011 in English and held by 1,280 WorldCat member libraries worldwide
A Guide to Complex Variables
by
Steven G Krantz(
)
10 editions published between 2008 and 2012 in English and held by 1,221 WorldCat member libraries worldwide
10 editions published between 2008 and 2012 in English and held by 1,221 WorldCat member libraries worldwide
Differential equations demystified
by
Steven G Krantz(
Book
)
12 editions published between 2004 and 2007 in English and Undetermined and held by 1,204 WorldCat member libraries worldwide
Here's the perfect selfteaching guide to help anyone master differential equationsa common stumbling block for students looking to progress to advanced topics in both science and math. Covers First Order Equations, Second Order Equations and Higher, Properties, Solutions, Series Solutions, Fourier Series and Orthogonal Systems, Partial Differential Equations and Boundary Value Problems, Numerical Techniques, and more
12 editions published between 2004 and 2007 in English and Undetermined and held by 1,204 WorldCat member libraries worldwide
Here's the perfect selfteaching guide to help anyone master differential equationsa common stumbling block for students looking to progress to advanced topics in both science and math. Covers First Order Equations, Second Order Equations and Higher, Properties, Solutions, Series Solutions, Fourier Series and Orthogonal Systems, Partial Differential Equations and Boundary Value Problems, Numerical Techniques, and more
A Guide to Real Variables
by
Steven G Krantz(
)
12 editions published between 2009 and 2012 in English and held by 1,186 WorldCat member libraries worldwide
12 editions published between 2009 and 2012 in English and held by 1,186 WorldCat member libraries worldwide
A Guide to Topology
by
Steven G Krantz(
)
11 editions published between 2009 and 2012 in English and held by 1,158 WorldCat member libraries worldwide
11 editions published between 2009 and 2012 in English and held by 1,158 WorldCat member libraries worldwide
Mathematical apocrypha : stories and anecdotes of mathematicians and the mathematical
by
Steven G Krantz(
Book
)
13 editions published between 2002 and 2005 in English and held by 1,089 WorldCat member libraries worldwide
With the story of David Hilbert perplexedly asking a colleague, "What is a Hilbert space?' being a typical example, this work presents anecdotes about the practice of mathematics that range in tone from humorous to celebratory. The anecdotes are arranged under sections devoted to great foolishness, great affrontery, great ideas, great failures, great pranks, and great people
13 editions published between 2002 and 2005 in English and held by 1,089 WorldCat member libraries worldwide
With the story of David Hilbert perplexedly asking a colleague, "What is a Hilbert space?' being a typical example, this work presents anecdotes about the practice of mathematics that range in tone from humorous to celebratory. The anecdotes are arranged under sections devoted to great foolishness, great affrontery, great ideas, great failures, great pranks, and great people
Techniques of problem solving
by
Steven G Krantz(
Book
)
19 editions published between 1996 and 2001 in English and Japanese and held by 1,030 WorldCat member libraries worldwide
The purpose of this book is to teach the basic principles of problem solving, including both mathematical and nonmathematical problems. This book will help students to translate verbal discussions into analytical data; learn problemsolving methods for attacking collections of analytical questions or data; build a personal arsenal of solutions and internalized problemsolving techniques; and become "armed problem solvers", ready to battle with a variety of puzzles in different areas of life. Taking a direct and practical approach to the subject matter, Krantz's book stands apart from others like it in that it incorporates exercises throughout the text. After many solved problems are given, a "Challenge Problem" is presented. Additional problems are included for readers to tackle at the end of each chapter. There are more than 350 problems in all. A Solutions Manual to most endofchapter exercises is available
19 editions published between 1996 and 2001 in English and Japanese and held by 1,030 WorldCat member libraries worldwide
The purpose of this book is to teach the basic principles of problem solving, including both mathematical and nonmathematical problems. This book will help students to translate verbal discussions into analytical data; learn problemsolving methods for attacking collections of analytical questions or data; build a personal arsenal of solutions and internalized problemsolving techniques; and become "armed problem solvers", ready to battle with a variety of puzzles in different areas of life. Taking a direct and practical approach to the subject matter, Krantz's book stands apart from others like it in that it incorporates exercises throughout the text. After many solved problems are given, a "Challenge Problem" is presented. Additional problems are included for readers to tackle at the end of each chapter. There are more than 350 problems in all. A Solutions Manual to most endofchapter exercises is available
A mathematician comes of age
by
Steven G Krantz(
)
12 editions published between 2011 and 2012 in English and held by 986 WorldCat member libraries worldwide
This book treats the maturation process for a mathematics student. It describes and analyzes how a student develops from a neophyte who can manipulate simple arithmetic problems to a sophisticated thinker who can understand abstract concepts, think rigorously, and analyze and manipulate proofs. Most importantly, the mature mathematics student can create proofs and know when the proofs that he/she has created are correct.  from Back Cover
12 editions published between 2011 and 2012 in English and held by 986 WorldCat member libraries worldwide
This book treats the maturation process for a mathematics student. It describes and analyzes how a student develops from a neophyte who can manipulate simple arithmetic problems to a sophisticated thinker who can understand abstract concepts, think rigorously, and analyze and manipulate proofs. Most importantly, the mature mathematics student can create proofs and know when the proofs that he/she has created are correct.  from Back Cover
Function theory of several complex variables
by
Steven G Krantz(
Book
)
34 editions published between 1981 and 2008 in English and held by 848 WorldCat member libraries worldwide
Krantz has a very readable style and this is one math book that is fun reading (assuming you have the background listed above). No definition causes you to wonder why it was defined, and no theorem causes you to wonder why it was proved. It's also one of the few books that defines sheaf cohomology in terms of actual geometric intuition and concrete examples. Even readers not interested in several complex variables should benefit from the way he treats tangential subjects in this book
34 editions published between 1981 and 2008 in English and held by 848 WorldCat member libraries worldwide
Krantz has a very readable style and this is one math book that is fun reading (assuming you have the background listed above). No definition causes you to wonder why it was defined, and no theorem causes you to wonder why it was proved. It's also one of the few books that defines sheaf cohomology in terms of actual geometric intuition and concrete examples. Even readers not interested in several complex variables should benefit from the way he treats tangential subjects in this book
Function theory of one complex variable
by
Robert Everist Greene(
Book
)
20 editions published between 1997 and 2006 in English and Italian and held by 810 WorldCat member libraries worldwide
20 editions published between 1997 and 2006 in English and Italian and held by 810 WorldCat member libraries worldwide
The implicit function theorem : history, theory, and applications
by
Steven G Krantz(
Book
)
23 editions published between 2002 and 2013 in English and held by 774 WorldCat member libraries worldwide
The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for Ck functions, (ii) formulations in other function spaces, (iii) formulations for nonsmooth functions, and (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the NashMoser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present uncorrected reprint of this classic monograph.Originally published in 2002, The Implicit Function Theorem is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas
23 editions published between 2002 and 2013 in English and held by 774 WorldCat member libraries worldwide
The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for Ck functions, (ii) formulations in other function spaces, (iii) formulations for nonsmooth functions, and (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the NashMoser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present uncorrected reprint of this classic monograph.Originally published in 2002, The Implicit Function Theorem is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas
Real analysis and foundations
by
Steven G Krantz(
Book
)
25 editions published between 1991 and 2014 in English and held by 732 WorldCat member libraries worldwide
Real Analysis and Foundations is an advanced undergraduate and firstyear graduate textbook that introduces students to introductory topics in real analysis (or real variables), point set topology, and the calculus of variations. This classroomtested book features over 350 endofchapter exercises that clearly develop and reinforce conceptual topics. It also provides an excellent review chapter on math foundations topics, as well as accessible coverage of classical topics, such as Weirstrass Approximation Theorem, AscoliArzela Theorem and SchroederBernstein Theorem. Explanations and discussions of key concepts are so well done that Real Analysis and Foundations will also provide valuable information for professional aerospace and structural engineers
25 editions published between 1991 and 2014 in English and held by 732 WorldCat member libraries worldwide
Real Analysis and Foundations is an advanced undergraduate and firstyear graduate textbook that introduces students to introductory topics in real analysis (or real variables), point set topology, and the calculus of variations. This classroomtested book features over 350 endofchapter exercises that clearly develop and reinforce conceptual topics. It also provides an excellent review chapter on math foundations topics, as well as accessible coverage of classical topics, such as Weirstrass Approximation Theorem, AscoliArzela Theorem and SchroederBernstein Theorem. Explanations and discussions of key concepts are so well done that Real Analysis and Foundations will also provide valuable information for professional aerospace and structural engineers
A primer of mathematical writing : being a disquisition on having your ideas recorded, typeset, published, read and appreciated
by
Steven G Krantz(
Book
)
17 editions published between 1996 and 1999 in English and Japanese and held by 720 WorldCat member libraries worldwide
This book is about writing in the professional mathematical environment. There are few people equal to this task, yet Steven Krantz is one who qualifies. While the book is nominally about writing, it's also about how to function in the mathematical profession. Those who are familiar with Krantz's writing will recognize his lively, inimitable style. In this volume, he addresses these nutsandbolts issues: syntax, grammar, structure, and style; mathematical exposition; use of the computer and T[subscript E]X; Email etiquette; and all aspects of publishing a journal article
17 editions published between 1996 and 1999 in English and Japanese and held by 720 WorldCat member libraries worldwide
This book is about writing in the professional mathematical environment. There are few people equal to this task, yet Steven Krantz is one who qualifies. While the book is nominally about writing, it's also about how to function in the mathematical profession. Those who are familiar with Krantz's writing will recognize his lively, inimitable style. In this volume, he addresses these nutsandbolts issues: syntax, grammar, structure, and style; mathematical exposition; use of the computer and T[subscript E]X; Email etiquette; and all aspects of publishing a journal article
Discrete mathematics demystified
by
Steven G Krantz(
)
11 editions published between 2008 and 2009 in English and held by 709 WorldCat member libraries worldwide
"If you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easytofollow guide to the equation and calculate how quickly you learn the essential concepts. Written by awardwinning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way. You will learn about logic, proofs, functions, matrices, sequences, series, and much more. Concise explanations, realworld examples, and worked equations make it easy to understand the material, and endofchapter exercises and a final exam help reinforce learning."P. [4] of cover
11 editions published between 2008 and 2009 in English and held by 709 WorldCat member libraries worldwide
"If you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easytofollow guide to the equation and calculate how quickly you learn the essential concepts. Written by awardwinning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way. You will learn about logic, proofs, functions, matrices, sequences, series, and much more. Concise explanations, realworld examples, and worked equations make it easy to understand the material, and endofchapter exercises and a final exam help reinforce learning."P. [4] of cover
A Panorama of harmonic analysis
by
Steven G Krantz(
Book
)
15 editions published in 1999 in English and Spanish and held by 677 WorldCat member libraries worldwide
Annotation
15 editions published in 1999 in English and Spanish and held by 677 WorldCat member libraries worldwide
Annotation
Geometric function theory explorations in complex analysis
by
Steven G Krantz(
)
27 editions published between 2005 and 2007 in English and held by 649 WorldCat member libraries worldwide
"This methodologically designed book contains a rich collection of exercises, examples, and illustrations within each individual chapter, concluding with an extensive bibliography of monographs, research papers, and a thorough index. Seeking to capture the imagination of advanced undergraduate and graduate students with a basic background in complex analysis  and also to spark the interest of seasoned workers in the field  the book imparts a solid education both in complex analysis and in how modern mathematics works."Jacket
27 editions published between 2005 and 2007 in English and held by 649 WorldCat member libraries worldwide
"This methodologically designed book contains a rich collection of exercises, examples, and illustrations within each individual chapter, concluding with an extensive bibliography of monographs, research papers, and a thorough index. Seeking to capture the imagination of advanced undergraduate and graduate students with a basic background in complex analysis  and also to spark the interest of seasoned workers in the field  the book imparts a solid education both in complex analysis and in how modern mathematics works."Jacket
The proof is in the pudding the changing nature of mathematical proof
by
Steven G Krantz(
)
11 editions published between 2010 and 2011 in English and Undetermined and held by 639 WorldCat member libraries worldwide
Covers the full history and evolution of the proof concept. The notion of rigorous thinking has evolved over time, and this book documents that development. It gives examples both of decisive developments in the technique of proof and also of magnificent blunders that taught us about how to think rigorously. Many historical vignettes illustrate the concepts and acquaint the reader with how mathematicians think and what they care about. In modern times, strict rules for generating and recording proof have been established. At the same time, many new vectors and forces have had an influence over the way mathematics is practiced. Certainly the computer plays a fundamental role in many mathematical investigations, but there are also fascinating social forces that have affected the way that we now conceive of proof. Daniel Gorenstein's program to classify the finite simple groups, Thomas Hales's resolution of the Kepler spherepacking problem, Louis de Branges's proof of the Bieberbach conjecture, and Thurston's treatment of the geometrization program are some examples of mathematical proofs that were generated in ways inconceivable 100 years ago ... Many of the proofs treated in this book are described in some detail, with figures and explanatory equations.From publisher description
11 editions published between 2010 and 2011 in English and Undetermined and held by 639 WorldCat member libraries worldwide
Covers the full history and evolution of the proof concept. The notion of rigorous thinking has evolved over time, and this book documents that development. It gives examples both of decisive developments in the technique of proof and also of magnificent blunders that taught us about how to think rigorously. Many historical vignettes illustrate the concepts and acquaint the reader with how mathematicians think and what they care about. In modern times, strict rules for generating and recording proof have been established. At the same time, many new vectors and forces have had an influence over the way mathematics is practiced. Certainly the computer plays a fundamental role in many mathematical investigations, but there are also fascinating social forces that have affected the way that we now conceive of proof. Daniel Gorenstein's program to classify the finite simple groups, Thomas Hales's resolution of the Kepler spherepacking problem, Louis de Branges's proof of the Bieberbach conjecture, and Thurston's treatment of the geometrization program are some examples of mathematical proofs that were generated in ways inconceivable 100 years ago ... Many of the proofs treated in this book are described in some detail, with figures and explanatory equations.From publisher description
How to teach mathematics : a personal perspective
by
Steven G Krantz(
Book
)
14 editions published between 1991 and 1994 in English and held by 585 WorldCat member libraries worldwide
14 editions published between 1991 and 1994 in English and held by 585 WorldCat member libraries worldwide
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Related Identities
 Parks, Harold R. 1949 Author
 Greene, Robert Everist 1943 Honoree Author Editor
 Mathematical Association of America Publisher
 Kim, KangTae 1957 Editor
 Gavosto, Estela A. Other Author Editor
 Peloso, Marco M. Other
 Lee, Lina 1976
 McCallum, William Gordon Editor
 Blank, Brian E. 1953 Author
 Conference Board of the Mathematical Sciences Editor
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Associated Subjects
Calculus Computer scienceMathematics Differential equations Differential equations, Partial Functions of complex variables Functions of real variables Functions of several complex variables Geometric function theory Geometry, Differential Global analysis (Mathematics) Global differential geometry Harmonic analysis Implicit functions Logic, Symbolic and mathematical Mathematical analysis Mathematicians Mathematics MathematicsAuthorship MathematicsLanguage MathematicsPhilosophy MathematicsStudy and teaching MathematicsStudy and teaching (Higher) MathematicsStudy and teachingPsychological aspects Numerical analysis Potential theory (Mathematics) Problem solving Proof theory Technical writing Topology