Krantz, Steven G. (Steven George) 1951
Overview
Works:  148 works in 957 publications in 3 languages and 33,079 library holdings 

Genres:  Anecdotes Popular works History Handbooks, manuals, etc Study guides 
Roles:  Author, Editor, Thesis advisor, Other 
Classifications:  QA331.7, 515 
Publication Timeline
.
Most widely held works by
Steven G Krantz
Calculus demystified by
Steven G Krantz(
Book
)
38 editions published between 2002 and 2011 in English and Spanish and held by 1,605 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
38 editions published between 2002 and 2011 in English and Spanish and held by 1,605 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
Mathematical apocrypha : stories and anecdotes of mathematicians and the mathematical by
Steven G Krantz(
Book
)
16 editions published between 2002 and 2005 in English and held by 1,097 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
16 editions published between 2002 and 2005 in English and held by 1,097 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
Complex analysis : the geometric viewpoint by
Steven G Krantz(
Book
)
23 editions published between 1990 and 2011 in English and held by 1,069 WorldCat member libraries worldwide
23 editions published between 1990 and 2011 in English and held by 1,069 WorldCat member libraries worldwide
How to teach mathematics : a personal perspective by
Steven G Krantz(
Book
)
30 editions published between 1991 and 2015 in English and held by 1,028 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
30 editions published between 1991 and 2015 in English and held by 1,028 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
)
18 editions published between 1996 and 1999 in English and held by 1,024 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
18 editions published between 1996 and 1999 in English and held by 1,024 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
Function theory of several complex variables by
Steven G Krantz(
Book
)
36 editions published between 1981 and 2008 in English and held by 853 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
36 editions published between 1981 and 2008 in English and held by 853 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
)
23 editions published between 1997 and 2006 in English and Italian and held by 809 WorldCat member libraries worldwide
23 editions published between 1997 and 2006 in English and Italian and held by 809 WorldCat member libraries worldwide
Real analysis and foundations by
Steven G Krantz(
Book
)
26 editions published between 1991 and 2014 in English and held by 736 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
26 editions published between 1991 and 2014 in English and held by 736 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
Differential equations demystified by
Steven G Krantz(
Book
)
12 editions published between 2005 and 2007 in English and Undetermined and held by 729 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 2005 and 2007 in English and Undetermined and held by 729 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 primer of mathematical writing : being a disquisition on having your ideas recorded, typeset, published, read and appreciated by
Steven G Krantz(
Book
)
19 editions published between 1996 and 1998 in English and held by 722 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
19 editions published between 1996 and 1998 in English and held by 722 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
A Panorama of harmonic analysis by
Steven G Krantz(
Book
)
17 editions published in 1999 in English and Spanish and held by 484 WorldCat member libraries worldwide
Annotation
17 editions published in 1999 in English and Spanish and held by 484 WorldCat member libraries worldwide
Annotation
The implicit function theorem : history, theory, and applications by
Steven G Krantz(
Book
)
28 editions published between 2002 and 2013 in English and held by 481 WorldCat member libraries worldwide
The implicit function theorem is part of the bedrock of mathematics 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 function, (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 volume. The history of the implicit function theorem is a lively and complex store, and intimately bound up with the development of fundamental ideas in analysis and geometry. This entire development, together with mathematical examples and proofs, is recounted for the first time here. It is an exciting tale, and it continues to evolve. 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 stunts, 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
28 editions published between 2002 and 2013 in English and held by 481 WorldCat member libraries worldwide
The implicit function theorem is part of the bedrock of mathematics 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 function, (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 volume. The history of the implicit function theorem is a lively and complex store, and intimately bound up with the development of fundamental ideas in analysis and geometry. This entire development, together with mathematical examples and proofs, is recounted for the first time here. It is an exciting tale, and it continues to evolve. 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 stunts, 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
An episodic history of mathematics : mathematical culture through problem solving by
Steven G Krantz(
Book
)
12 editions published in 2010 in English and held by 414 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
12 editions published in 2010 in English and held by 414 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
)
11 editions published between 2008 and 2012 in English and held by 314 WorldCat member libraries worldwide
11 editions published between 2008 and 2012 in English and held by 314 WorldCat member libraries worldwide
Geometric function theory : explorations in complex analysis by
Steven G Krantz(
Book
)
27 editions published between 2006 and 2007 in English and held by 308 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 2006 and 2007 in English and held by 308 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
)
13 editions published between 2010 and 2011 in English and Undetermined and held by 285 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
13 editions published between 2010 and 2011 in English and Undetermined and held by 285 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
A guide to topology by
Steven G Krantz(
Book
)
12 editions published between 2009 and 2012 in English and held by 254 WorldCat member libraries worldwide
12 editions published between 2009 and 2012 in English and held by 254 WorldCat member libraries worldwide
Discrete mathematics demystified by
Steven G Krantz(
Book
)
12 editions published between 2008 and 2009 in English and held by 254 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
12 editions published between 2008 and 2009 in English and held by 254 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 guide to real variables by
Steven G Krantz(
Book
)
13 editions published between 2009 and 2012 in English and held by 252 WorldCat member libraries worldwide
13 editions published between 2009 and 2012 in English and held by 252 WorldCat member libraries worldwide
A mathematician comes of age by
Steven G Krantz(
Book
)
14 editions published between 2011 and 2012 in English and held by 169 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
14 editions published between 2011 and 2012 in English and held by 169 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
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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 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 United States
Alternative Names
Krantz, S.
Krantz, S. G.
Krantz, S. G. 1951
Krantz, S. G. (Steven George), 1951
Krantz, Steven
Krantz, Steven 1951
Krantz, Steven G.
Krantz, Steven George
Krantz, Steven George 1951
Steven G. Krantz amerikansk matematikar
Steven G. Krantz amerikansk matematiker
Steven G. Krantz rudit, mathmaticien et crivain amricain
Steven G. Krantz USamerikanischer Mathematiker
Steven George Krantz
クランツ, S. G
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