Understanding Analysis Download Ebook PDF Epub Online

Author : Stephen Abbott
Publisher : Springer Science & Business Media
Release : 2012-12-06
Page : 260
Category : Mathematics
ISBN 13 : 0387215069
Description :


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.


Author : Stephen Abbott
Publisher : KBookstore
Release : 2010-12-01
Page : 260
Category : Mathematics
ISBN 13 : 1441928669
Description :


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.


Author : Stephen Abbott
Publisher : Springer Science & Business Media
Release : 2002-07-12
Page : 260
Category : Mathematics
ISBN 13 : 9780387950600
Description :


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.


Author : Paul Zorn
Publisher : CRC Press
Release : 2017-11-22
Page : 336
Category : Mathematics
ISBN 13 : 1315315068
Description :


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.


Author : Stephen Abbott
Publisher :
Release : 2015
Page :
Category :
ISBN 13 : 9781493927135
Description :



Author : Michael Starbird
Francis Su
Publisher : American Mathematical Soc.
Release : 2020-09-10
Page : 313
Category : Education
ISBN 13 : 1470462613
Description :


Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning—of mathematics and beyond—joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.


Author : Dineen Sean
Publisher : World Scientific Publishing Company
Release : 2012-05-04
Page : 320
Category : Mathematics
ISBN 13 : 9814401404
Description :


This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.


Author : Nicola Daniel
Mary M. Firth
Publisher : Hodder Gibson
Release : 2020-07-27
Page : 160
Category : Study Aids
ISBN 13 : 1510473831
Description :


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


Author : Ann Bridges
Colin Eckford
Publisher : Hodder Gibson
Release : 2015-04-24
Page : 300
Category : Education
ISBN 13 : 1471838080
Description :


Exam Board: SQA Level: Higher Subject: English First Teaching: September 2014 First Exam: June 2015 A brand new edition of the former Higher English Close Reading, completely rewritten for the new Higher element - worth 30% of marks in the final exam. Written by two highly experienced authors, this book shows you how to practise for the Reading for Understanding, Analysis and Evaluation section of the CfE Higher English exam. It introduces the terms and concepts that lie behind success and offers guidance on the interpretation of questions and targeting answers. - Acquire and improve the skills needed for success in this area of CfE Higher - Includes questions and passages to reflect the style of assessments in this section of the paper - Revise for the exam using the practice papers and accompanying book of suggested answers


Author : Mary M. Firth
Andrew G. Ralston
Publisher : Hodder Gibson
Release : 2013-12-13
Page : 104
Category : Literary Criticism
ISBN 13 : 1444192108
Description :


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


Author : Jane Cooper
Publisher : Hodder Gibson
Release : 2017-01-09
Page : 152
Category : Literary Criticism
ISBN 13 : 1471868621
Description :


This book brings together the essential close reading skills needed by students taking part in the Broad General Education, Levels 3-4 (in S1 to S3). Split into two parts, the first section uses examples, models and active-learning tasks to teach key concepts of reading for understanding, analysis and evaluation. The second section provides 15 practice assessments, based on a variety of fiction and non-fiction texts, which become progressively more challenging. As well as allowing learners to demonstrate BGE reading skills, this section serves as a useful precursor to the style of assessment encountered later on at National levels. This book will help students to: - develop their close reading abilities - understand the distinction between key ideas and supporting details - analyse writers' language and style via a broad range of sample texts.


Author : Jay Cummings
Publisher :
Release : 2019-07-15
Page : 446
Category :
ISBN 13 : 9781077254541
Description :


This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own. Examples often drive the narrative and challenge the intuition of the reader. The text also aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and includes interesting historical notes, periodic attempts at humor, and occasional diversions into other interesting areas of mathematics. The text covers the real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions. Each chapter ends with exercises, and nearly all include some open questions. The first appendix contains a construction the reals, and the second is a collection of additional peculiar and pathological examples from analysis. The author believes most textbooks are extremely overpriced and endeavors to help change this.Hints and solutions to select exercises can be found at LongFormMath.com.


Author :
Publisher : Elsevier
Release : 2018-08-27
Page : 537
Category : Mathematics
ISBN 13 : 0444640436
Description :


Computational Analysis and Understanding of Natural Languages: Principles, Methods and Applications, Volume 38, the latest release in this monograph that provides a cohesive and integrated exposition of these advances and associated applications, includes new chapters on Linguistics: Core Concepts and Principles, Grammars, Open-Source Libraries, Application Frameworks, Workflow Systems, Mathematical Essentials, Probability, Inference and Prediction Methods, Random Processes, Bayesian Methods, Machine Learning, Artificial Neural Networks for Natural Language Processing, Information Retrieval, Language Core Tasks, Language Understanding Applications, and more. The synergistic confluence of linguistics, statistics, big data, and high-performance computing is the underlying force for the recent and dramatic advances in analyzing and understanding natural languages, hence making this series all the more important. Provides a thorough treatment of open-source libraries, application frameworks and workflow systems for natural language analysis and understanding Presents new chapters on Linguistics: Core Concepts and Principles, Grammars, Open-Source Libraries, Application Frameworks, Workflow Systems, Mathematical Essentials, Probability, and more


Author : Kenneth A. Ross
Publisher : CUP Archive
Release : 2014-01-15
Page : 276
Category :
ISBN 13 :
Description :



Author : Scott B. Morris
Eric M. Dunleavy
Publisher : Psychology Press
Release : 2016-12-01
Page : 380
Category : Psychology
ISBN 13 : 1315301415
Description :


Compliance with federal equal employment opportunity regulations, including civil rights laws and affirmative action requirements, requires collection and analysis of data on disparities in employment outcomes, often referred to as adverse impact. While most human resources (HR) practitioners are familiar with basic adverse impact analysis, the courts and regulatory agencies are increasingly relying on more sophisticated methods to assess disparities. Employment data are often complicated, and can include a broad array of employment actions (e.g., selection, pay, promotion, termination), as well as data that span multiple protected groups, settings, and points in time. In the era of "big data," the HR analyst often has access to larger and more complex data sets relevant to employment disparities. Consequently, an informed HR practitioner needs a richer understanding of the issues and methods for conducting disparity analyses. This book brings together the diverse literature on disparity analysis, spanning work from statistics, industrial/organizational psychology, human resource management, labor economics, and law, to provide a comprehensive and integrated summary of current best practices in the field. Throughout, the description of methods is grounded in the legal context and current trends in employment litigation and the practices of federal regulatory agencies. The book provides guidance on all phases of disparity analysis, including: How to structure diverse and complex employment data for disparity analysis How to conduct both basic and advanced statistical analyses on employment outcomes related to employee selection, promotion, compensation, termination, and other employment outcomes How to interpret results in terms of both practical and statistical significance Common practical challenges and pitfalls in disparity analysis and strategies to deal with these issues


Author : Derek Seward
Publisher : Macmillan International Higher Education
Release : 2009-04-08
Page : 376
Category : Technology & Engineering
ISBN 13 : 023036568X
Description :


Understanding Structures is an ideal introductory text for undergraduate students of civil engineering, building, surveying and architecture. It deals with the topics of structural analysis, materials and design, introducing all three topics in an integrated way so that the reader can quickly start to tackle the exciting task of designing real structures. Each stage of the design process is illustrated by a realistic numerical example based on genuine design data, thus enabling the reader to develop a real skill for structural design and to share in the satisfaction, pleasure and excitement of this highly creative process. Learning features include end-of-chapter summaries and exercises, making this a perfect text for self-study as well for the classroom. This new edition has been fully updated to be compatible with Eurocodes throughout.


Author : Maxwell Rosenlicht
Publisher : Courier Corporation
Release : 2012-05-04
Page : 272
Category : Mathematics
ISBN 13 : 0486134687
Description :


Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.


Author : Mark Hawthorne
Publisher : CRC Press
Release : 2017-07-27
Page : 142
Category : Law
ISBN 13 : 1420068652
Description :


The unique composition of the skin on the inner hands and bottom of the feet affords not only a utilitarian benefit in providing friction but also provides a forensic marker for identifying individuals. Fingerprints: Analysis and Understanding is the most fundamental, up-to-date resource available on the techniques of obtaining and analyzing latent


Author : Dr David M Currie
Publisher : Gower Publishing, Ltd.
Release : 2012-08-28
Page : 224
Category : Business & Economics
ISBN 13 : 1409459772
Description :


The ability to connect theoretical macroeconomics to the analysis of the economic and political performance of a given country is an essential skill for global investors. In Country Analysis: Understanding Economic and Political Performance, David M. Currie takes a unique analytical approach to the subject, clearly demonstrating the relationship between theory and application in investing practices. This valuable book shows how to interpret country performance and provides the practising investor with sufficient background on economic principles to be able to understand and interpret country summaries that appear in business periodicals and other media. It covers key topics such as the Washington Consensus and the three major categories of economic decisions - fiscal policy, monetary policy and trade policy. It includes an important chapter on the political aspect of government performance, to give the reader an understanding of economic decisions in their true context. Country Analysis explains the reasoning behind the criteria used in evaluating country risk and economic performance, without the need for a sophisticated understanding of economics or mathematics. Each chapter includes a series of text boxes that include real-life examples from business periodicals to reinforce what is discussed and enable readers to practice identifying and interpreting relevant information. Practitioners making investment decisions in global markets, as well as students in MBA and other courses, will find this immensely practical book a valuable aid to critical decision making.


Author : Bernard R. Gelbaum
John M. H. Olmsted
Publisher : Courier Corporation
Release : 2012-07-12
Page : 224
Category : Mathematics
ISBN 13 : 0486134911
Description :


These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.