Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Euclid's Elements
Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Elements of Mathematics
Author: John Stillwell
Publisher: Princeton University Press
ISBN: 0691171688
Category : Mathematics
Languages : en
Pages : 440
Book Description
An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.
Publisher: Princeton University Press
ISBN: 0691171688
Category : Mathematics
Languages : en
Pages : 440
Book Description
An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.
Mathematical Writing
Author: Donald E. Knuth
Publisher: Cambridge University Press
ISBN: 9780883850633
Category : Language Arts & Disciplines
Languages : en
Pages : 132
Book Description
This book will help those wishing to teach a course in technical writing, or who wish to write themselves.
Publisher: Cambridge University Press
ISBN: 9780883850633
Category : Language Arts & Disciplines
Languages : en
Pages : 132
Book Description
This book will help those wishing to teach a course in technical writing, or who wish to write themselves.
Elements of Mathematics
Author: Nicolas Bourbaki
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Elements of Algebra
Author: Leonhard Euler
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 960
Book Description
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 960
Book Description
Writing Mathematics Well
Author: Leonard Gillman
Publisher: American Mathematical Society
ISBN: 1470469804
Category : Mathematics
Languages : en
Pages : 61
Book Description
Good writing conveys more than the author originally had in mind, while poor writing conveys less. Well written papers are more quickly accepted and put into print and more widely read and appreciated than poorly written ones—and for notes, monographs, and books the quality of writing is of more importance that it is for papers. In Writing Mathematics Well, Leonard Gillman tells his readers how to develop a clear and effective style. All aspects of mathematical writing are covered, from general organization and choice of title, to the presentation of results, to fine points on using words and symbols, to revision, and, finally, to the mechanics of putting your manuscript into print. No book can by itself make you a better writer, but this one will alert you to the opportunities for better and more forceful writing. It does this both by precept and by example. This is no bland collection of rules, but a lively guide in the style of Strunk and White or Fowler—a book to be read for its sharpness and wit as well as for enlightenment. Writing Mathematics Well should be on the shelf of anyone who writes or intends to write mathematics. It will amuse and delight the already careful writer and it will help reform and refine the sensibilities of those who may be somewhat careless about their writing.
Publisher: American Mathematical Society
ISBN: 1470469804
Category : Mathematics
Languages : en
Pages : 61
Book Description
Good writing conveys more than the author originally had in mind, while poor writing conveys less. Well written papers are more quickly accepted and put into print and more widely read and appreciated than poorly written ones—and for notes, monographs, and books the quality of writing is of more importance that it is for papers. In Writing Mathematics Well, Leonard Gillman tells his readers how to develop a clear and effective style. All aspects of mathematical writing are covered, from general organization and choice of title, to the presentation of results, to fine points on using words and symbols, to revision, and, finally, to the mechanics of putting your manuscript into print. No book can by itself make you a better writer, but this one will alert you to the opportunities for better and more forceful writing. It does this both by precept and by example. This is no bland collection of rules, but a lively guide in the style of Strunk and White or Fowler—a book to be read for its sharpness and wit as well as for enlightenment. Writing Mathematics Well should be on the shelf of anyone who writes or intends to write mathematics. It will amuse and delight the already careful writer and it will help reform and refine the sensibilities of those who may be somewhat careless about their writing.
Elements of Pure and Applied Mathematics
Author: Harry Lass
Publisher: Courier Corporation
ISBN: 0486471861
Category : Mathematics
Languages : en
Pages : 514
Book Description
Completely self-contained, this survey explores the important topics in pure and applied mathematics. Each chapter can be read independently of the others, and all subjects are unified by cross-references to the complete work. Numerous worked-out examples appear throughout the text, and review questions and references conclude each section. 1957 edition.
Publisher: Courier Corporation
ISBN: 0486471861
Category : Mathematics
Languages : en
Pages : 514
Book Description
Completely self-contained, this survey explores the important topics in pure and applied mathematics. Each chapter can be read independently of the others, and all subjects are unified by cross-references to the complete work. Numerous worked-out examples appear throughout the text, and review questions and references conclude each section. 1957 edition.
A Primer of Real Analytic Functions
Author: KRANTZ
Publisher: Birkhäuser
ISBN: 3034876440
Category : Science
Languages : en
Pages : 190
Book Description
The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work 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 lem for real analytic manifolds. We have had occasion in our collaborative research to become ac 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 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.
Publisher: Birkhäuser
ISBN: 3034876440
Category : Science
Languages : en
Pages : 190
Book Description
The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work 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 lem for real analytic manifolds. We have had occasion in our collaborative research to become ac 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 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.
Elements of Advanced Mathematics, Third Edition
Author: Steven G. Krantz
Publisher: CRC Press
ISBN: 1439898340
Category : Mathematics
Languages : en
Pages : 368
Book Description
For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.
Publisher: CRC Press
ISBN: 1439898340
Category : Mathematics
Languages : en
Pages : 368
Book Description
For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.
All the Mathematics You Missed
Author: Thomas A. Garrity
Publisher: 清华大学出版社有限公司
ISBN: 9787302090854
Category : Mathematics
Languages : en
Pages : 380
Book Description
Publisher: 清华大学出版社有限公司
ISBN: 9787302090854
Category : Mathematics
Languages : en
Pages : 380
Book Description