Krantz, Steven G. (Steven George) 1951
Overview
Works:  157 works in 1,178 publications in 3 languages and 38,973 library holdings 

Genres:  Popular works History Anecdotes Abstracts Handbooks and manuals Study guides 
Roles:  Author, Editor, Other 
Publication Timeline
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Most widely held works by
Steven G Krantz
Calculus demystified by
Steven G Krantz(
Book
)
29 editions published between 2000 and 2011 in English and held by 1,604 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
29 editions published between 2000 and 2011 in English and held by 1,604 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
Complex analysis : the geometric viewpoint by
Steven G Krantz(
Book
)
32 editions published between 1987 and 2011 in English and held by 1,144 WorldCat member libraries worldwide
In this second edition of a Carus Monograph Classic, Steven Krantz develops material on classical nonEuclidean geometry. He shows how it can be developed in a natural way from the invariant geometry of the complex disc. He also introduces the Bergman kernal and metric and provides profound applications, some of them never having appeared before in print. In general, the new edition represents a considerable polishing and rethinking of the original successful volume. This is the first and only book to describe the context, the background, the details, and the applications of Ahlfors's celebrated ideas about curvature, the Schwarz lemma, and applications in complex analysis. Beginning from scratch, and requiring only a minimal background in complex variable theory, this book takes the reader up to ideas that are currently active areas of study. Such areas include a) the Caratheodory and Kobayashi metrics, b) the Bergman kernel and metric, c) boundary continuation of conformal maps. There is also an introduction to the theory of several complex variables. Poincaré's celebrated theorem about the biholomorphic inequivalence of the ball and polydisc is discussed and proved
32 editions published between 1987 and 2011 in English and held by 1,144 WorldCat member libraries worldwide
In this second edition of a Carus Monograph Classic, Steven Krantz develops material on classical nonEuclidean geometry. He shows how it can be developed in a natural way from the invariant geometry of the complex disc. He also introduces the Bergman kernal and metric and provides profound applications, some of them never having appeared before in print. In general, the new edition represents a considerable polishing and rethinking of the original successful volume. This is the first and only book to describe the context, the background, the details, and the applications of Ahlfors's celebrated ideas about curvature, the Schwarz lemma, and applications in complex analysis. Beginning from scratch, and requiring only a minimal background in complex variable theory, this book takes the reader up to ideas that are currently active areas of study. Such areas include a) the Caratheodory and Kobayashi metrics, b) the Bergman kernel and metric, c) boundary continuation of conformal maps. There is also an introduction to the theory of several complex variables. Poincaré's celebrated theorem about the biholomorphic inequivalence of the ball and polydisc is discussed and proved
How to teach mathematics : a personal perspective by
Steven G Krantz(
Book
)
39 editions published between 1991 and 2015 in English and held by 1,120 WorldCat member libraries worldwide
"This expanded edition of the original bestseller, How to Teach Mathematics, offers handson guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues."Jacket
39 editions published between 1991 and 2015 in English and held by 1,120 WorldCat member libraries worldwide
"This expanded edition of the original bestseller, How to Teach Mathematics, offers handson guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues."Jacket
Techniques of problem solving by
Steven G Krantz(
Book
)
21 editions published between 1996 and 1999 in English and held by 1,035 WorldCat member libraries worldwide
The purpose of this book is to teach the basic principles of problem solving in both mathematical and nonmathematical problems. The major components of the book consist of learning to translate verbal discussion into analytical data, learning problem solving methods for attacking collections of analytical questions or data, and building a personal arsenal of solved problems and internalized problem solving techniques. This book can be used as a device for introducing students to the world of modern technology because of the connection it forms to other techniques and tools. The format incorporates exercises into the text, providing a challenge problem after solved problems. More than 350 problems are found at the end of the chapters with solutions available in a solutions manual. Mathematical topics covered in the book include inductive reasoning, logic, parity, planar geometry, solid geometry, analytic geometry, probability, recreational mathematics, and real life connections. (Ddr)
21 editions published between 1996 and 1999 in English and held by 1,035 WorldCat member libraries worldwide
The purpose of this book is to teach the basic principles of problem solving in both mathematical and nonmathematical problems. The major components of the book consist of learning to translate verbal discussion into analytical data, learning problem solving methods for attacking collections of analytical questions or data, and building a personal arsenal of solved problems and internalized problem solving techniques. This book can be used as a device for introducing students to the world of modern technology because of the connection it forms to other techniques and tools. The format incorporates exercises into the text, providing a challenge problem after solved problems. More than 350 problems are found at the end of the chapters with solutions available in a solutions manual. Mathematical topics covered in the book include inductive reasoning, logic, parity, planar geometry, solid geometry, analytic geometry, probability, recreational mathematics, and real life connections. (Ddr)
Function theory of several complex variables by
Steven G Krantz(
Book
)
45 editions published between 1981 and 2008 in English and held by 890 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
45 editions published between 1981 and 2008 in English and held by 890 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
)
25 editions published between 1997 and 2017 in English and Italian and held by 842 WorldCat member libraries worldwide
25 editions published between 1997 and 2017 in English and Italian and held by 842 WorldCat member libraries worldwide
A primer of mathematical writing : being a disquisition on having your ideas recorded, typeset, published, read and appreciated by
Steven G Krantz(
Book
)
25 editions published between 1996 and 2017 in English and held by 747 WorldCat member libraries worldwide
Krantz's frank and straightforward approach makes this particularly suitable as a textbook. He does not avoid difficult topics. His intent is to demonstrate to the reader how to successfully operate within the profession. He outlines how to write grant proposals that are persuasive and compelling, how to write a letter of recommendation describing the research abilities of a candidate for promotion or tenure, and what a dean is looking for in a letter of recommendation. He further addresses some basic issues such as writing a book proposal to a publisher or applying for a job
25 editions published between 1996 and 2017 in English and held by 747 WorldCat member libraries worldwide
Krantz's frank and straightforward approach makes this particularly suitable as a textbook. He does not avoid difficult topics. His intent is to demonstrate to the reader how to successfully operate within the profession. He outlines how to write grant proposals that are persuasive and compelling, how to write a letter of recommendation describing the research abilities of a candidate for promotion or tenure, and what a dean is looking for in a letter of recommendation. He further addresses some basic issues such as writing a book proposal to a publisher or applying for a job
Differential equations demystified by
Steven G Krantz(
Book
)
19 editions published between 2000 and 2011 in English and Undetermined and held by 726 WorldCat member libraries worldwide
Here's a 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
19 editions published between 2000 and 2011 in English and Undetermined and held by 726 WorldCat member libraries worldwide
Here's a 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
Mathematical apocrypha : stories and anecdotes of mathematicians and the mathematical by
Steven G Krantz(
Book
)
12 editions published in 2002 in English and held by 698 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
12 editions published in 2002 in English and held by 698 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
The implicit function theorem : history, theory, and applications by
Steven G Krantz(
Book
)
32 editions published between 2002 and 2013 in English and held by 515 WorldCat member libraries worldwide
Preface  Introduction to the Implicit Function Theorem  History  Basic Ideas  Applications  Variations and Generalizations  Advanced Implicit Function Theorems  Glossary  Bibliography  Index
32 editions published between 2002 and 2013 in English and held by 515 WorldCat member libraries worldwide
Preface  Introduction to the Implicit Function Theorem  History  Basic Ideas  Applications  Variations and Generalizations  Advanced Implicit Function Theorems  Glossary  Bibliography  Index
A Panorama of harmonic analysis by
Steven G Krantz(
Book
)
18 editions published in 1999 in English and Spanish and held by 508 WorldCat member libraries worldwide
Annotation
18 editions published in 1999 in English and Spanish and held by 508 WorldCat member libraries worldwide
Annotation
An episodic history of mathematics : mathematical culture through problem solving by
Steven G Krantz(
Book
)
15 editions published between 2010 and 2014 in English and held by 430 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
15 editions published between 2010 and 2014 in English and held by 430 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
A guide to complex variables by
Steven G Krantz(
Book
)
14 editions published between 2008 and 2012 in English and held by 330 WorldCat member libraries worldwide
14 editions published between 2008 and 2012 in English and held by 330 WorldCat member libraries worldwide
Geometric function theory : explorations in complex analysis by
Steven G Krantz(
Book
)
25 editions published between 2006 and 2007 in English and Undetermined and held by 323 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
25 editions published between 2006 and 2007 in English and Undetermined and held by 323 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(
Book
)
16 editions published between 2010 and 2016 in English and Undetermined and held by 297 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
16 editions published between 2010 and 2016 in English and Undetermined and held by 297 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
Discrete mathematics demystified by
Steven G Krantz(
Book
)
9 editions published between 2008 and 2011 in English and held by 265 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."Page 4 of cover
9 editions published between 2008 and 2011 in English and held by 265 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."Page 4 of cover
A guide to real variables by
Steven G Krantz(
Book
)
16 editions published between 2009 and 2012 in English and held by 259 WorldCat member libraries worldwide
16 editions published between 2009 and 2012 in English and held by 259 WorldCat member libraries worldwide
A mathematician comes of age by
Steven G Krantz(
Book
)
15 editions published in 2012 in English and held by 182 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
15 editions published in 2012 in English and held by 182 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
A guide to functional analysis by
Steven G Krantz(
Book
)
17 editions published between 2013 and 2014 in English and held by 168 WorldCat member libraries worldwide
The purpose of A Guide to Functional Analysis is to introduce the reader with minimal background to the basic scripture of functional analysis. Readers should know some real analysis and some linear algebra. Measure theory rears its ugly head in some of the examples and also in the treatment of spectral theory. The latter is unavoidable and the former allows us to present a rich variety of examples. The nervous reader may safely skip any of the measure theory and still derive a lot from the rest of the book. Apart from this caveat, the book is almost completely selfcontained; in a few instances we mention easily accessible references. A feature that sets this book apart from most other functional analysis texts is that it has a lot of examples and a lot of applications. This helps to make the material more concrete, and relates it to ideas that the reader has already seen. It also makes the book more accessible to a broader audience
17 editions published between 2013 and 2014 in English and held by 168 WorldCat member libraries worldwide
The purpose of A Guide to Functional Analysis is to introduce the reader with minimal background to the basic scripture of functional analysis. Readers should know some real analysis and some linear algebra. Measure theory rears its ugly head in some of the examples and also in the treatment of spectral theory. The latter is unavoidable and the former allows us to present a rich variety of examples. The nervous reader may safely skip any of the measure theory and still derive a lot from the rest of the book. Apart from this caveat, the book is almost completely selfcontained; in a few instances we mention easily accessible references. A feature that sets this book apart from most other functional analysis texts is that it has a lot of examples and a lot of applications. This helps to make the material more concrete, and relates it to ideas that the reader has already seen. It also makes the book more accessible to a broader audience
Cálculo by
Steven G Krantz(
Book
)
3 editions published between 2003 and 2008 in Spanish and held by 7 WorldCat member libraries worldwide
3 editions published between 2003 and 2008 in Spanish and held by 7 WorldCat member libraries worldwide
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fewer
Audience Level
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Related Identities
 Parks, Harold R. 1949 Author
 Mathematical Association of America Publisher
 Greene, Robert Everist 1943 Honoree Dedicatee Author Editor
 Kim, KangTae 1957 Other 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 Other Editor
Useful Links
Associated Subjects
Algebra, Boolean Calculus Calculus, Integral Computer scienceMathematics Differential calculus Differential equations Differential equations, Linear Differential equations, Partial Fourier analysis Functional analysis Functions of complex variables Functions of real variables Functions of several complex variables Geometric function theory Geometry, Differential Global analysis (Mathematics) Global differential geometry Graph theory Harmonic analysis History Implicit functions Laplace transformation Logic, Symbolic and mathematical Mathematical analysis Mathematicians Mathematics MathematicsAuthorship MathematicsPhilosophy MathematicsStudy and teaching MathematicsStudy and teaching (Higher) MathematicsStudy and teachingPsychological aspects Matrices Number theory Numerical analysis Potential theory (Mathematics) Problem solving Proof theory Set theory Topology United States
Alternative Names
Krantz, S.
Krantz, S.G.
Krantz, S. G. 1951
Krantz, S. G. (Steven George)
Krantz, S. G. (Steven George), 1951
Krantz, Stephen George
Krantz, Steven
Krantz, Steven 1951
Krantz, Steven G.
Krantz, Steven George
Krantz, Steven George 1951
Steven G. Krantz Amerikaans wiskundige
Steven G. Krantz amerikansk matematikar
Steven G. Krantz amerikansk matematiker
Steven G. Krantz érudit, mathématicien et écrivain américain
Steven G. Krantz USamerikanischer Mathematiker
Steven George Krantz
크란츠, 스티븐 G. 1951
クランツ, S. G.
スティーブン・G・クランツ
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