WorldCat Identities

Krantz, Steven G. (Steven George) 1951-

Works: 126 works in 737 publications in 1 language and 28,579 library holdings
Genres: History  Popular works  Anecdotes  Handbooks, manuals, etc  Study guides 
Roles: Editor
Classifications: QA331.7, 515
Publication Timeline
Publications about  Steven G Krantz Publications about Steven G Krantz
Publications by  Steven G Krantz Publications by Steven G Krantz
Most widely held works by Steven G Krantz
Calculus demystified by Steven G Krantz ( )
32 editions published between 2002 and 2011 in English and held by 2,830 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 ( )
8 editions published in 2010 in English and held by 1,276 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
Differential equations demystified by Steven G Krantz ( Book )
11 editions published between 2004 and 2007 in English and Undetermined and held by 1,201 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
Complex analysis : the geometric viewpoint by Steven G Krantz ( Book )
17 editions published between 1990 and 2011 in English and held by 1,160 WorldCat member libraries worldwide
Mathematical apocrypha : stories and anecdotes of mathematicians and the mathematical by Steven G Krantz ( Book )
11 editions published between 2002 and 2005 in English and held by 1,088 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 )
16 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 problem-solving methods for attacking collections of analytical questions or data; build a personal arsenal of solutions and internalized problem-solving 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 end-of-chapter exercises is available
A Guide to Complex Variables by Steven G Krantz ( )
8 editions published between 2008 and 2012 in English and held by 951 WorldCat member libraries worldwide
A Guide to Real Variables by Steven G Krantz ( )
8 editions published between 2009 and 2012 in English and held by 895 WorldCat member libraries worldwide
A Guide to Topology by Steven G Krantz ( )
9 editions published between 2009 and 2012 in English and held by 873 WorldCat member libraries worldwide
Function theory of several complex variables by Steven G Krantz ( Book )
30 editions published between 1981 and 2008 in English and held by 837 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 )
19 editions published between 1997 and 2006 in English and held by 799 WorldCat member libraries worldwide
A mathematician comes of age by Steven G Krantz ( )
7 editions published in 2012 in English and held by 758 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
The implicit function theorem : history, theory, and applications by Steven G Krantz ( Book )
20 editions published between 2002 and 2013 in English and held by 721 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 non-smooth functions, and (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash-Moser 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
A primer of mathematical writing : being a disquisition on having your ideas recorded, typeset, published, read and appreciated by Steven G Krantz ( Book )
15 editions published between 1996 and 1998 in English and held by 707 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 ( )
10 editions published between 2008 and 2009 in English and held by 702 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."--P. [4] of cover
Real analysis and foundations by Steven G Krantz ( Book )
19 editions published between 1991 and 2014 in English and held by 696 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
Geometric function theory explorations in complex analysis by Steven G Krantz ( )
25 editions published between 2005 and 2007 in English and held by 642 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"--BOOK 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 630 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
How to teach mathematics : a personal perspective by Steven G Krantz ( Book )
14 editions published between 1991 and 1994 in English and held by 583 WorldCat member libraries worldwide
Geometric integration theory by Steven G Krantz ( )
18 editions published between 2007 and 2008 in English and held by 571 WorldCat member libraries worldwide
"This textbook introduces geometric measure theory through the notion of currents. Currents - continuous linear functionals on spaces of differential forms - are a natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis." "Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom as well as for self-study. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for graduate students and researchers."--BOOK JACKET
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  Kids General Special  
Audience level: 0.50 (from 0.24 for Calculus d ... to 0.79 for Function t ...)
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-
クランツ, S. G
English (306)