Author: Geng Ji
Publisher:
ISBN:
Category :
Languages : en
Pages : 263
Book Description
13 Papers on Algebra and Analysis
Author: Geng Ji
Publisher:
ISBN:
Category :
Languages : en
Pages : 263
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 263
Book Description
Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
Author: P.M. Gadea
Publisher: Springer Science & Business Media
ISBN: 9048135648
Category : Mathematics
Languages : en
Pages : 446
Book Description
A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, “Professor, you have as yet not given an exact de nition of a Riemann surface.” The professor answered, “With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them.” The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question—how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task.
Publisher: Springer Science & Business Media
ISBN: 9048135648
Category : Mathematics
Languages : en
Pages : 446
Book Description
A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, “Professor, you have as yet not given an exact de nition of a Riemann surface.” The professor answered, “With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them.” The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question—how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task.
Thirteen Papers on Algebra and Analysis
Author: B. L. Golinskii
Publisher: American Mathematical Soc.
ISBN: 9780821817766
Category : Mathematics
Languages : en
Pages : 263
Book Description
Publisher: American Mathematical Soc.
ISBN: 9780821817766
Category : Mathematics
Languages : en
Pages : 263
Book Description
Applied Algebra and Functional Analysis
Author: Anthony N. Michel
Publisher: Courier Corporation
ISBN: 048667598X
Category : Mathematics
Languages : en
Pages : 514
Book Description
"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.
Publisher: Courier Corporation
ISBN: 048667598X
Category : Mathematics
Languages : en
Pages : 514
Book Description
"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.
Thirteen Papers on Algebra and Analysis
Author: AMS
Publisher:
ISBN:
Category :
Languages : en
Pages : 263
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 263
Book Description
Papers in Algebra, Analysis and Statistics
Author: Australian Mathematical Society. Summer Research Institute
Publisher: American Mathematical Soc.
ISBN: 0821850091
Category : Mathematics
Languages : en
Pages : 418
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821850091
Category : Mathematics
Languages : en
Pages : 418
Book Description
Translations, Series 2, Volume 76
Author: American Mathematical Society
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 263
Book Description
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 263
Book Description
Thirteen Papers in Algebra, Functional Analysis, Topology, and Probability
Author: Simeon Ivanov
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 220
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 220
Book Description
An Introduction to Abstract Mathematics
Author: Robert J. Bond
Publisher: Waveland Press
ISBN: 1478608056
Category : Mathematics
Languages : en
Pages : 344
Book Description
Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher- level mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 1-5 introduce the fundamentals of abstract mathematics and chapters 6-8 apply the ideas and techniques, placing the earlier material in a real context. Readers interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments.
Publisher: Waveland Press
ISBN: 1478608056
Category : Mathematics
Languages : en
Pages : 344
Book Description
Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher- level mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 1-5 introduce the fundamentals of abstract mathematics and chapters 6-8 apply the ideas and techniques, placing the earlier material in a real context. Readers interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments.
Seven Papers on Algebra
Author:
Publisher: American Mathematical Soc.
ISBN: 9780821896440
Category : Algebra
Languages : en
Pages : 264
Book Description
Publisher: American Mathematical Soc.
ISBN: 9780821896440
Category : Algebra
Languages : en
Pages : 264
Book Description