The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. Episodic History Of Mathematics Solutions Manual. Investments Bodie 9th Edition Solution Manual Blog Julius Caesar Study Guide Answers Dasd Autocad Lt 2015 Set Up Guide Haas Parts Manual Kubota V2203 E Service Manual Opel Astra Diesel 2018 Manual 2002 Cadillac Deville Repair Manual. The focus in this text is on doing—getting involved with the math-ematics and solving problems. This book is unabashedly mathematical: The history is primarily a device for feeding the reader some doses of mathematical meat. In the course of reading this book, the neophyte will become involved with mathematics by working on the same prob.
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It is not a secret that teaching process is quite difficult task and specially for this purpose we made a Solutions Manual for A History of Mathematics 3rd Edition by Victor J. Katz. With the help of the Solutions Manual for A History of Mathematics 3rd Edition by Victor J. Katz will be able to see all answers for all exercises of the book. In addition to that with Solutions Manual for A History of Mathematics 3rd Edition you will be 100 percent ready for the classes which you are going to conduct Solutions Manual for A History of Mathematics 3rd Edition is the best asset for any teacher.
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- Calculus demystified by Steven G Krantz( Book )
Calculus demystified by Steven G Krantz( )
32 editions published between 2000 and 2011 in English and Spanish and held by 2,822 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
32 editions published between 2000 and 2011 in English and Spanish and held by 2,822 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( )
18 editions published between 2010 and 2014 in English and held by 2,073 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
18 editions published between 2010 and 2014 in English and held by 2,073 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( )
16 editions published between 2008 and 2014 in English and held by 1,824 WorldCat member libraries worldwide
16 editions published between 2008 and 2014 in English and held by 1,824 WorldCat member libraries worldwide
A guide to real variables by Steven G Krantz( )
16 editions published between 2009 and 2014 in English and held by 1,763 WorldCat member libraries worldwide
A Guide to Real Variables provides aid and conceptual support for the student studying for the qualifying exam in real variables. Beginning with the foundations of the subject, the text moves rapidly but thoroughly through basic topics like completeness, convergence, sequences, series, compactness, topology and the like. All the basic examples like the Cantor set, the Weierstrass nowhere differentiable function, the Weierstrass approximation theory, the Baire category theorem, and the Ascoli-Arzela theorem are treated. The book contains over 100 examples, and most of the basic proofs. It illustrates both the theory and the practice of this sophisticated subject. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful resource too. Steven Krantz is well-known for his skill in expository writing and this volume confirms it. He is the author of more than 50 books, and more than 150 scholarly papers. The MAA has awarded him both the Beckenbach Book Prize and the Chauvenet Prize
16 editions published between 2009 and 2014 in English and held by 1,763 WorldCat member libraries worldwide
A Guide to Real Variables provides aid and conceptual support for the student studying for the qualifying exam in real variables. Beginning with the foundations of the subject, the text moves rapidly but thoroughly through basic topics like completeness, convergence, sequences, series, compactness, topology and the like. All the basic examples like the Cantor set, the Weierstrass nowhere differentiable function, the Weierstrass approximation theory, the Baire category theorem, and the Ascoli-Arzela theorem are treated. The book contains over 100 examples, and most of the basic proofs. It illustrates both the theory and the practice of this sophisticated subject. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful resource too. Steven Krantz is well-known for his skill in expository writing and this volume confirms it. He is the author of more than 50 books, and more than 150 scholarly papers. The MAA has awarded him both the Beckenbach Book Prize and the Chauvenet Prize
Episodic History Of Mathematics Solutions Manual Pdf
A guide to topology by Steven G Krantz( )
14 editions published between 2009 and 2014 in English and held by 1,706 WorldCat member libraries worldwide
A Guide to Topology is an introduction to basic topology. It covers point-set topology as well as Moore-Smith convergence and function spaces. It treats continuity, compactness, the separation axioms, connectedness, completeness, the relative topology, the quotient topology, the product topology, and all the other fundamental ideas of the subject. The book is filled with examples and illustrations. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful research too. Steven Krantz is well-known for his skill in expository writing and this volume confirms it. He is the author of more than 50 books, and more than 150 scholarly papers. The MAA has awarded him both the Beckenbach Book Prize and the Chauvenet Prize
14 editions published between 2009 and 2014 in English and held by 1,706 WorldCat member libraries worldwide
A Guide to Topology is an introduction to basic topology. It covers point-set topology as well as Moore-Smith convergence and function spaces. It treats continuity, compactness, the separation axioms, connectedness, completeness, the relative topology, the quotient topology, the product topology, and all the other fundamental ideas of the subject. The book is filled with examples and illustrations. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful research too. Steven Krantz is well-known for his skill in expository writing and this volume confirms it. He is the author of more than 50 books, and more than 150 scholarly papers. The MAA has awarded him both the Beckenbach Book Prize and the Chauvenet Prize
A mathematician comes of age by Steven G Krantz( )
20 editions published between 2011 and 2012 in English and held by 1,601 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
20 editions published between 2011 and 2012 in English and held by 1,601 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
Complex analysis : the geometric viewpoint by Steven G Krantz( Book )
22 editions published between 1990 and 2004 in English and held by 1,556 WorldCat member libraries worldwide
In this second edition of a Carus Monograph Classic, Steven Krantz develops material on classical non-Euclidean 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 re-thinking 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
22 editions published between 1990 and 2004 in English and held by 1,556 WorldCat member libraries worldwide
In this second edition of a Carus Monograph Classic, Steven Krantz develops material on classical non-Euclidean 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 re-thinking 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
A guide to functional analysis by Steven G Krantz( )
14 editions published between 2013 and 2014 in English and held by 1,513 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
14 editions published between 2013 and 2014 in English and held by 1,513 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
Differential equations demystified by Steven G Krantz( Book )
21 editions published between 2000 and 2011 in English and Undetermined and held by 1,257 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
21 editions published between 2000 and 2011 in English and Undetermined and held by 1,257 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
Techniques of problem solving by Steven G Krantz( Book )
24 editions published between 1996 and 1999 in English and Undetermined and held by 1,030 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
24 editions published between 1996 and 1999 in English and Undetermined and held by 1,030 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
The implicit function theorem : history, theory, and applications by Steven G Krantz( )
43 editions published between 2002 and 2013 in English and held by 990 WorldCat member libraries worldwide
'This 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.'
43 editions published between 2002 and 2013 in English and held by 990 WorldCat member libraries worldwide
'This 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.'
Function theory of several complex variables by Steven G Krantz( Book )
59 editions published between 1981 and 2012 in English and Undetermined and held by 953 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
59 editions published between 1981 and 2012 in English and Undetermined and held by 953 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
A primer of mathematical writing : being a disquisition on having your ideas recorded, typeset, published, read and appreciated by Steven G Krantz( Book )
35 editions published between 1996 and 2017 in English and held by 919 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
35 editions published between 1996 and 2017 in English and held by 919 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
Function theory of one complex variable by Robert Everist Greene( Book )
30 editions published between 1997 and 2017 in 3 languages and held by 862 WorldCat member libraries worldwide
This volume connects complex analysis with calculus, algebra, geometry, topology and analysis. Exercises and illustrations are provided throughout the text. Also included is information on Bergman Kernal and two boundary behaviour of conformal mappings
30 editions published between 1997 and 2017 in 3 languages and held by 862 WorldCat member libraries worldwide
This volume connects complex analysis with calculus, algebra, geometry, topology and analysis. Exercises and illustrations are provided throughout the text. Also included is information on Bergman Kernal and two boundary behaviour of conformal mappings
Real analysis and foundations by Steven G Krantz( Book )
44 editions published between 1991 and 2017 in English and held by 826 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
44 editions published between 1991 and 2017 in English and held by 826 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
Episodic History Of Mathematics Solutions Manual Class
Discrete mathematics demystified by Steven G Krantz( )
10 editions published between 2008 and 2011 in English and held by 750 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
10 editions published between 2008 and 2011 in English and held by 750 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
The proof is in the pudding : the changing nature of mathematical proof by Steven G Krantz( )
29 editions published between 2010 and 2016 in English and German and held by 738 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
29 editions published between 2010 and 2016 in English and German and held by 738 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
Geometric function theory : explorations in complex analysis by Steven G Krantz( )
27 editions published between 2005 and 2007 in English and Undetermined and held by 735 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 2005 and 2007 in English and Undetermined and held by 735 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
Hodge theory in the Sobolev topology for the de Rham complex by Luigi Fontana( )
16 editions published between 1995 and 2012 in English and held by 734 WorldCat member libraries worldwide
16 editions published between 1995 and 2012 in English and held by 734 WorldCat member libraries worldwide
A primer of real analytic functions by Steven G Krantz( Book )
28 editions published between 1992 and 2013 in English and German and held by 713 WorldCat member libraries worldwide
The subject of real analytic functions is one of the oldest in mathe℗Ư matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work℗Ư ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob℗Ư lem for real analytic manifolds. We have had occasion in our collaborative research to become ac℗Ư quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana℗Ư lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly
28 editions published between 1992 and 2013 in English and German and held by 713 WorldCat member libraries worldwide
The subject of real analytic functions is one of the oldest in mathe℗Ư matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work℗Ư ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob℗Ư lem for real analytic manifolds. We have had occasion in our collaborative research to become ac℗Ư quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana℗Ư lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly
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| 0 | 1 | |
| Kids | General | Special |
Audience level: 0.23 (from 0.03 for An episodi ... to 0.66 for Function t ...) - Parks, Harold R. 1949- OtherAuthor
- Greene, Robert Everist 1943- DedicateeHonoreeAuthorEditor
- Mathematical Association of America Publisher
- Kim, Kang-Tae 1957- OtherAuthorEditor
- Peloso, Marco M. OtherAuthor
- Gavosto, Estela A. OtherAuthorEditor
- Fontana, Luigi 1960- Author
- Bland, John 1952- AuthorEditor
- Jensen, Gary R. OtherAuthorEditor
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Krantz, S. G. 1951-
Krantz, S. G. (Steven George), 1951-
Krantz, Steven 1951-
Krantz, Steven G., 1951-
Krantz, Steven George
Steven G. Krantz Amerikaans wiskundige
Steven G. Krantz amerikansk matematiker
Steven G. Krantz érudit, mathématicien et écrivain américain
Steven G. Krantz matemático estadounidense
Steven G. Krantz matemáticu estauxunidense
History Of Mathematics Timeline
Steven George Krantz
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クランツ, S. G.
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Episodic History Of Mathematics Solutions Manual
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