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BOOK EXCERPT:

This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.

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Genre: Mathematics
Author: Stephen Abbott
Publisher: Springer Science & Business Media
Release: 2012-12-06
File: 260 Pages
ISBN-13: 9780387215068

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BOOK EXCERPT:

This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.

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Genre: Mathematics
Author: Stephen Abbott
Publisher: KBookstore
Release: 2010-12-01
File: 260 Pages
ISBN-13: 9781441928665

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eBook Download

BOOK EXCERPT:

This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.

Product Details :

Genre: Mathematics
Author: Stephen Abbott
Publisher: Springer Science & Business Media
Release: 2002-07-12
File: 260 Pages
ISBN-13: 0387950605

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BOOK EXCERPT:

Understanding Real Analysis, Second Edition offers substantial coverage of foundational material and expands on the ideas of elementary calculus to develop a better understanding of crucial mathematical ideas. The text meets students at their current level and helps them develop a foundation in real analysis. The author brings definitions, proofs, examples and other mathematical tools together to show how they work to create unified theory. These helps students grasp the linguistic conventions of mathematics early in the text. The text allows the instructor to pace the course for students of different mathematical backgrounds.

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Genre: Mathematics
Author: Paul Zorn
Publisher: CRC Press
Release: 2017-11-22
File: 336 Pages
ISBN-13: 9781315315065

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Exam Board: SQA Level: National 5 Subject: English First teaching: September 2017 First exam: Summer 2018 Offer the best possible preparation for National 5 English RUAE. Building students' confidence in reading unseen texts, this book focuses on the skills required for the exam before progressing to worked examples and full-length practice papers. - Teaches students how to answer every question type effectively and demonstrate their ability to understand ideas, analyse language and structure, and evaluate writers' techniques - Enables students to put their RUAE skills into practice as they tackle a range of short extracts and questions accompanied by active learning approaches, group work and individual tasks - Tests the skills that students have developed through six full-length passages and practice assessments, with answers and marking guidelines at the back of the book for easy reference - Provides stretch and challenge opportunities, including extension activities and further reading that will broaden students' Reading for Understanding, Analysis and Evaluation skills

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Genre: Study Aids
Author: Nicola Daniel
Publisher: Hodder Gibson
Release: 2020-07-27
File: 160 Pages
ISBN-13: 9781510473836

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BOOK EXCERPT:

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.

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Genre: Mathematics
Author: Terence Tao
Publisher: Springer
Release: 2016-08-29
File: 350 Pages
ISBN-13: 9789811017896

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BOOK EXCERPT:

This title is endorsed by SQA. Boost grades with quick and effective ways to acquire and improve the skill of reading for understanding, analysis and evaluation, which is worth 30% of the overall mark. This title offers guidance in one of the most important areas of National 5 English, in a skill area that some students believe 'cannot be practised'. This book, written by two highly experienced teachers and authors, shows that such practice offers the best chance of success and demonstrates that reading for understanding, analysis and evaluation for National 5 English is a skill that can be acquired and improved. - Develops skills quickly and effectively using tried and trusted methods from an experienced author team - Prepares students for assessment with specific advice and plenty of opportunities to test the theory in practice papers - Teaches (and tests) other language skills essential to National 5 English

Product Details :

Genre: Literary Criticism
Author: Mary M. Firth
Publisher: Hodder Gibson
Release: 2013-12-13
File: 104 Pages
ISBN-13: 9781444192100

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This book is designed as an excellent resource text for students and professionals, providing an in-depth overview of the theory and applications of downhole microseismic monitoring of hydraulic fracturing. The readers will benefit greatly from the detailed explanation on the processes and workflows involved in the acquisition design modeling, processing and interpretation of microseismic data.

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Genre: Science
Author: Jubran Akram
Publisher: Springer Nature
Release: 2020-01-01
File: 196 Pages
ISBN-13: 9783030340179

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Written for students as well as professionals who work with and support geophysicists, this book presents a simple and informal discussion of fundamental concepts which underlie the quantitative part of geophysical analysis and interpretation. These general concepts are applicable for an analytical approach to any phenomena that can be measured and recorded. With examples and figures created using Microsoft Excel®, this book is accessible and insightful. Topics covered include: the concept of signals based on the sine function; the summation of sine waves as a more complicated signal; the notion of Fourier series and the spectral representation of signals; digital sampling and discrete representation of signals; the discrete Fourier transform and inverse transform; the concept of filtering in the spectral domain; and the idea of filtering outside of the spectral domain, by convolution, and the relationship between the measurement and spectral domains. This book will be valuable for geologists, junior seismic interpreters, software developers, high school and university students, and geophysical professionals seeking a refresher of the basic concepts.

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Genre: Science
Author: Michael Burianyk
Publisher: SEG Books
Release: 2019-05-15
File: 94 Pages
ISBN-13: 9781560803577

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By assuming it is possible to understand regression analysis without fully comprehending all its underlying proofs and theories, this introduction to the widely used statistical technique is accessible to readers who may have only a rudimentary knowledge of mathematics. Chapters discuss: -descriptive statistics using vector notation and the components of a simple regression model; -the logic of sampling distributions and simple hypothesis testing; -the basic operations of matrix algebra and the properties of the multiple regression model; -testing compound hypotheses and the application of the regression model to the analyses of variance and covariance, and -structural equation models and influence statistics.

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Genre: Social Science
Author: Michael Patrick Allen
Publisher: Springer Science & Business Media
Release: 2007-11-23
File: 216 Pages
ISBN-13: 9780585256573

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