Mathematical Analysis
Author : Elias Zakon
Publisher : The Trillia Group
Page : 436 pages
File Size : 33,70 MB
Release : 2009-12-18
Category : Mathematics
ISBN : 1931705038
Author : Elias Zakon
Publisher : The Trillia Group
Page : 436 pages
File Size : 33,70 MB
Release : 2009-12-18
Category : Mathematics
ISBN : 1931705038
Author : William R. Parzynski
Publisher : McGraw-Hill Companies
Page : 376 pages
File Size : 49,15 MB
Release : 1982
Category : Mathematics
ISBN :
Author : James R. Kirkwood
Publisher :
Page : 0 pages
File Size : 37,44 MB
Release : 2002
Category : Mathematical analysis
ISBN : 9781577662327
Author : Henry Lester Smith
Publisher :
Page : 300 pages
File Size : 42,20 MB
Release : 1942
Category : Arithmetic
ISBN :
Author : Andrew Browder
Publisher : Springer Science & Business Media
Page : 348 pages
File Size : 50,64 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461207150
Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.
Author : Gaea Leinhardt
Publisher : Psychology Press
Page : 472 pages
File Size : 13,68 MB
Release : 1992
Category : Education
ISBN : 9780805809299
This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.
Author : Rohan Dalpatadu
Publisher : Trafford Publishing
Page : 355 pages
File Size : 42,68 MB
Release : 2015-10-13
Category : Mathematics
ISBN : 1490764712
Elementary Real Analysis is a vital component of every Bachelors degree in Mathematics and Statistics. This book provides a somewhat detailed introduction to the subject. It may be used in an Introductory Real Analysis course as a main text or reference.
Author : Terence Tao
Publisher : Springer
Page : 366 pages
File Size : 29,37 MB
Release : 2016-08-29
Category : Mathematics
ISBN : 9811017891
This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Author : Sterling K. Berberian
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 15,70 MB
Release : 2012-09-10
Category : Mathematics
ISBN : 1441985484
Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.
Author : Lianghuo Fan
Publisher : Springer
Page : 385 pages
File Size : 33,71 MB
Release : 2018-02-13
Category : Education
ISBN : 3319732536
This book focuses on issues related to mathematics teaching and learning resources, including mathematics textbooks, teacher guides, student learning and assessment materials, and online resources. The book highlights various theoretical and methodological approaches used to study teaching and learning resources, and addresses the areas of resources, teachers, and students at an international level. As for the resources, the book examines the role textbooks and other curricular or learning resources play in mathematics teaching, learning, and assessment. It asks questions such as: Could we consider different types of textbooks and roles they play in teaching and learning? How does the digitalization of information and communication affect these roles? What are defining features of e-textbooks, and how could we characterize the differences between the traditional textbooks and e-textbooks? As for the teachers, the book discusses the relationships between teachers’ individual and collective resources, and the way in which we could model such relationships. Specific questions addressed are: What is the role of teachers in developing textbooks and other teaching and learning materials? What are the relationships between resource designers and users? What are the consequences of these changing roles and relationships for the teaching of mathematics, and for teacher knowledge and professional development? As for the students, the book explores how students, as well as their teachers, interact through resources. It raises and addresses questions such as: What are the effects of modern ICT (particularly internet) on students’ use and the design of resources? How do changing patterns of use and design affect student behaviour, learning, and relationships to the subject of mathematics?