This book is a set of notes for an elementary course in real analysis. It covers sequences, limits, continuity, differentiation, integration, and series.
This book is a set of notes for an elementary course in real analysis. It covers sequences, limits, continuity, differentiation, integration, and series.
Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations research, and engineering. The text presents the first elementary exposition of the gauge integral and offers a clear and thorough introduction to real numbers, developing topics in n-dimensions, and functions of several variables. Detailed treatments of Lagrange multipliers and the Kuhn-Tucker Theorem are also presented. The text concludes with coverage of important topics in abstract analysis, including the Stone-Weierstrass Theorem and the Banach Contraction Principle.
Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations ...
Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations research, and engineering. The text presents the first elementary exposition of the gauge integral and offers a clear and thorough introduction to real numbers, developing topics in n-dimensions, and functions of several variables. Detailed treatments of Lagrange multipliers and the Kuhn-Tucker Theorem are also presented. The text concludes with coverage of important topics in abstract analysis, including the Stone-Weierstrass Theorem and the Banach Contraction Principle.
Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations ...
Uses an analytical and techniques-oriented approach to present a concise introduction to the subject focusing on time-evolution problems. Emphasizes hyperbolic and parabolic problems and includes a range of applications--chemistry, porous media, biological problems, traffic flow, reactors, heat transfer and detonation. Packed with exercises, examples and illustrations.
Flexible enough to enable instructors to adapt portions of the book to their own curricula, An Introduction to Nonlinear Partial Differential Equations works effectively in first courses on nonlinear PDEs, second course on PDEs, and in ...
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Saxon; as — Sing sang sung. V. By adopting ght into the past tense and perfect ...
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Both English and Latin. With Som Papers Never Before Publish'd. In Three Volumes. To which is Prefix'd The Life of the Author, Containing, Besides the History of His Works, Several Extraordinary Characters of Men and Books, Sects, Parties and Opinions
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This practical book helps middle and high school mathematics teachers effectively reach English learners in their classrooms. Designed for teachers who have had limited preparation for teaching mathematics to English learners, the guide offers an integrated approach to teaching mathematics content and English language skills, including guidance on best instructional practices from the field, powerful and concrete strategies for teaching mathematics content along with academic language, and sample lesson scenarios that can be implemented immediately in any mathematics class. It includes: Rubrics to help teachers identify the most important language skills at five ELD levels Practical guidance and tips from the field Seven scaffolding strategies for differentiating instruction Seven tools to promote mathematical language Assessment techniques and accommodations to lower communication barriers for English learners Three integrated lesson scenarios demonstrating how to combine and embed these various strategies, tools, techniques, and approaches Chapter topics include teaching inquiry-based mathematics, understanding first and second language development, teaching the language of mathematics, scaffolding mathematics learning, and applying strategies in the classroom.
engAging with hexAgons Class: Integrated Mathematics I Activity: Writing an
explicit rule for a pattern Instructional strategies: Modifying activity instructions to
allow English learners to focus on the mathematical concepts To engage
students in ...
... to a greater Degree of Perfection; which Improvement goes on daily, especially
in Mathematical Sciences, wherein (not to mention others that have succeeded
well) I make no Doubt, but that all will readily give the Preference to our Galileus,
...
