Krantz, Steven G. (Steven George) 1951Overview
Publication Timeline
Most widely held works by
Steven G Krantz
Calculus demystified
by Steven G Krantz
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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
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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
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11 editions published between 2004 and 2007 in English and Undetermined and held by 1,201 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
Complex analysis : the geometric viewpoint
by Steven G Krantz
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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
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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
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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 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 Guide to Complex Variables
by Steven G Krantz
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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
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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
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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
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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
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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
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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
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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 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
A primer of mathematical writing : being a disquisition on having your ideas recorded, typeset, published, read and appreciated
by Steven G Krantz
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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
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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 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
Real analysis and foundations
by Steven G Krantz
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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 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
Geometric function theory explorations in complex analysis
by Steven G Krantz
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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
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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 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
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14 editions published between 1991 and 1994 in English and held by 583 WorldCat member libraries worldwide
Geometric integration theory
by Steven G Krantz
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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 selfstudy. The exposition demands minimal background, is selfcontained and accessible, and thus is ideal for graduate students and researchers."BOOK JACKET more
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Calculus Computer scienceMathematics Currents (Calculus of variations) Differential equations Differential equations, Partial Discrete groups Functions of complex variables Functions of real variables Functions of several complex variables Geometric function theory Geometric measure theory Geometry Geometry, Differential Global analysis (Mathematics) Global differential geometry Harmonic analysis Implicit functions Integral equations Integral transforms Logic, Symbolic and mathematical Mathematical analysis Mathematicians Mathematics MathematicsAuthorship MathematicsPhilosophy MathematicsStudy and teaching MathematicsStudy and teaching (Higher) MathematicsStudy and teachingPsychological aspects Numerical analysis Potential theory (Mathematics) Problem solving Proof theory Topology

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
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