WorldCat Identities

Krantz, Steven G. (Steven George) 1951-

Works: 163 works in 1,208 publications in 3 languages and 38,490 library holdings
Genres: Popular works  History  Anecdotes  Abstracts  Handbooks and manuals  Study guides 
Roles: Author, Editor, Other
Publication Timeline
Most widely held works about Steven G Krantz
Most widely held works by Steven G Krantz
Calculus demystified by Steven G Krantz( )

29 editions published between 2000 and 2011 in English and held by 2,880 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( )

15 editions published between 2010 and 2014 in English and held by 1,894 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( )

14 editions published between 2008 and 2014 in English and held by 1,628 WorldCat member libraries worldwide

A guide to real variables by Steven G Krantz( )

13 editions published between 2009 and 2014 in English and held by 1,567 WorldCat member libraries worldwide

A guide to topology by Steven G Krantz( )

14 editions published between 2009 and 2014 in English and held by 1,531 WorldCat member libraries worldwide

Complex analysis : the geometric viewpoint by Steven G Krantz( Book )

28 editions published between 1990 and 2004 in English and held by 1,457 WorldCat member libraries worldwide

A mathematician comes of age by Steven G Krantz( )

15 editions published in 2012 in English and held by 1,425 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
Differential equations demystified by Steven G Krantz( Book )

19 editions published between 2000 and 2011 in English and Undetermined and held by 1,274 WorldCat member libraries worldwide

Here's the perfect self-teaching guide to help anyone master differential equations--a 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 functional analysis by Steven G Krantz( )

14 editions published between 2013 and 2014 in English and held by 1,197 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 self-contained; 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
A Panorama of harmonic analysis by Steven G Krantz( )

18 editions published in 1999 in English and Spanish and held by 1,116 WorldCat member libraries worldwide

Techniques of problem solving by Steven G Krantz( Book )

21 editions published between 1996 and 1999 in English and held by 1,032 WorldCat member libraries worldwide

The purpose of this book is to teach the basic principles of problem solving in both mathematical and non-mathematical 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 )

46 editions published between 1981 and 2012 in English and held by 915 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
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 902 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
Real analysis and foundations by Steven G Krantz( Book )

42 editions published between 1991 and 2017 in English and held by 854 WorldCat member libraries worldwide

Real Analysis and Foundations is an advanced undergraduate and first-year graduate textbook that introduces students to introductory topics in real analysis (or real variables), point set topology, and the calculus of variations. This classroom-tested book features over 350 end-of-chapter 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, Ascoli-Arzela Theorem and Schroeder-Bernstein 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
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 843 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 )

26 editions published between 1996 and 2017 in English and held by 822 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
Discrete mathematics demystified by Steven G Krantz( )

9 editions published between 2008 and 2011 in English and held by 761 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 easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts. Written by award-winning 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, real-world examples, and worked equations make it easy to understand the material, and end-of-chapter exercises and a final exam help reinforce learning."--Page 4 of cover
Mathematical apocrypha : stories and anecdotes of mathematicians and the mathematical by Steven G Krantz( Book )

13 editions published in 2002 in English and held by 697 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
Geometric function theory : explorations in complex analysis by Steven G Krantz( )

25 editions published between 2006 and 2007 in English and Undetermined and held by 695 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( )

16 editions published between 2010 and 2016 in English and held by 682 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 sphere-packing 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
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Audience level: 0.22 (from 0.03 for An episodi ... to 0.79 for Cálculo / ...)

Calculus demystified
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 US-amerikanischer Mathematiker

Steven George Krantz

크란츠, 스티븐 G. 1951-

クランツ, S. G.


English (430)

Spanish (5)

Italian (1)

An episodic history of mathematics : mathematical culture through problem solvingA guide to complex variablesA guide to real variablesA guide to topologyComplex analysis : the geometric viewpointDifferential equations demystifiedA Panorama of harmonic analysisTechniques of problem solving