A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University
Author: Emil Artin
Publisher:
Published: 1958
Total Pages: 136
ISBN-13:
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Author: Emil Artin
Publisher:
Published: 1958
Total Pages: 136
ISBN-13:
DOWNLOAD EBOOKAuthor: Robert C. Gunning
Publisher: Princeton University Press
Published: 2018-03-20
Total Pages: 382
ISBN-13: 0691178798
DOWNLOAD EBOOKAn essential undergraduate textbook on algebra, topology, and calculus An Introduction to Analysis is an essential primer on basic results in algebra, topology, and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a one-year course, this unique textbook also introduces students to rigorous proofs and formal mathematical writing--skills they need to excel. With a range of problems throughout, An Introduction to Analysis treats n-dimensional calculus from the beginning—differentiation, the Riemann integral, series, and differential forms and Stokes's theorem—enabling students who are serious about mathematics to progress quickly to more challenging topics. The book discusses basic material on point set topology, such as normed and metric spaces, topological spaces, compact sets, and the Baire category theorem. It covers linear algebra as well, including vector spaces, linear mappings, Jordan normal form, bilinear mappings, and normal mappings. Proven in the classroom, An Introduction to Analysis is the first textbook to bring these topics together in one easy-to-use and comprehensive volume. Provides a rigorous introduction to calculus in one and several variables Introduces students to basic topology Covers topics in linear algebra, including matrices, determinants, Jordan normal form, and bilinear and normal mappings Discusses differential forms and Stokes's theorem in n dimensions Also covers the Riemann integral, integrability, improper integrals, and series expansions
Author: David Bressoud
Publisher: Springer
Published: 2016-06-14
Total Pages: 44
ISBN-13: 3319329758
DOWNLOAD EBOOKThis survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.
Author: Ian Westbury
Publisher: Routledge
Published: 2012-08-06
Total Pages: 343
ISBN-13: 1136601708
DOWNLOAD EBOOKThis volume presents a mix of translations of classical and modern papers from the German Didaktik tradition, newly prepared essays by German scholars and practitioners writing from within the tradition, and interpretive essays by U.S. scholars. It brings this tradition, which virtually dominated German curricular thought and teacher education until the 1960s when American curriculum theory entered Germany--and which is now experiencing a renaissance--to the English-speaking world, where it has been essentially unknown. The intent is to capture in one volume the core (at least) of the tradition of Didaktik and to communicate its potential relevance to English-language curricularists and teacher educators. It introduces a theoretical tradition which, although very different in almost every respect from those we know, offers a set of approaches that suggest ways of thinking about problems of reflection on curricular and teaching praxis (the core focus of the tradition) which the editors believe are accessible to North American readers--with appropriate "translation." These ways of thinking and related praxis are very relevant to notions such as reflective teaching and the discourse on teachers as professionals. By raising the possibility that the "new" tradition of Didaktik can be highly suggestive for thinking through issues related to a number of central ideas within contemporary discourse--and for exploring the implications of these ideas for both teacher education and for a curriculum theory appropriate to these new contexts for theorizing, this book opens up a gold mine of theoretical and practical possibilities.
Author:
Publisher:
Published: 1967
Total Pages: 838
ISBN-13:
DOWNLOAD EBOOKAuthor: Princeton University
Publisher:
Published: 1906
Total Pages: 442
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Publisher:
Published: 1956
Total Pages: 664
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DOWNLOAD EBOOKIncludes entries for maps and atlases.
Author: Avron Douglis
Publisher:
Published: 1970
Total Pages: 824
ISBN-13:
DOWNLOAD EBOOKAuthor: Northeastern University (Boston, Mass.). Library
Publisher:
Published: 1964
Total Pages: 576
ISBN-13:
DOWNLOAD EBOOKAuthor: College of New Jersey (Princeton, N.J.)
Publisher:
Published: 1909
Total Pages: 480
ISBN-13:
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