The Real Analysis Lifesaver

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The Real Analysis Lifesaver

Raffi Grinberg
The Real Analysis Lifesaver Book PDF

Author : Raffi Grinberg
Publisher : Princeton University Press
Page : 200 pages
File Size : 52,8 Mb
Release : 2017-01-10
Category : Mathematics
ISBN : 9780691172934

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The Real Analysis Lifesaver by Raffi Grinberg Pdf

The essential "lifesaver" that every student of real analysis needs Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while giving them the solid foundation they need for further study in proof-based math. Rather than presenting polished proofs with no explanation of how they were devised, The Real Analysis Lifesaver takes a two-step approach, first showing students how to work backwards to solve the crux of the problem, then showing them how to write it up formally. It takes the time to provide plenty of examples as well as guided "fill in the blanks" exercises to solidify understanding. Newcomers to real analysis can feel like they are drowning in new symbols, concepts, and an entirely new way of thinking about math. Inspired by the popular Calculus Lifesaver, this book is refreshingly straightforward and full of clear explanations, pictures, and humor. It is the lifesaver that every drowning student needs. The essential “lifesaver” companion for any course in real analysis Clear, humorous, and easy-to-read style Teaches students not just what the proofs are, but how to do them—in more than 40 worked-out examples Every new definition is accompanied by examples and important clarifications Features more than 20 “fill in the blanks” exercises to help internalize proof techniques Tried and tested in the classroom

The Real Analysis Lifesaver

Raffi Grinberg
The Real Analysis Lifesaver Book PDF

Author : Raffi Grinberg
Publisher : Princeton University Press
Page : 200 pages
File Size : 51,7 Mb
Release : 2017-01-03
Category : Mathematics
ISBN : 9781400883134

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The Real Analysis Lifesaver by Raffi Grinberg Pdf

The essential "lifesaver" that every student of real analysis needs Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while giving them the solid foundation they need for further study in proof-based math. Rather than presenting polished proofs with no explanation of how they were devised, The Real Analysis Lifesaver takes a two-step approach, first showing students how to work backwards to solve the crux of the problem, then showing them how to write it up formally. It takes the time to provide plenty of examples as well as guided "fill in the blanks" exercises to solidify understanding. Newcomers to real analysis can feel like they are drowning in new symbols, concepts, and an entirely new way of thinking about math. Inspired by the popular Calculus Lifesaver, this book is refreshingly straightforward and full of clear explanations, pictures, and humor. It is the lifesaver that every drowning student needs. The essential “lifesaver” companion for any course in real analysis Clear, humorous, and easy-to-read style Teaches students not just what the proofs are, but how to do them—in more than 40 worked-out examples Every new definition is accompanied by examples and important clarifications Features more than 20 “fill in the blanks” exercises to help internalize proof techniques Tried and tested in the classroom

The Calculus Lifesaver

Adrian Banner
The Calculus Lifesaver Book PDF

Author : Adrian Banner
Publisher : Princeton University Press
Page : 752 pages
File Size : 47,7 Mb
Release : 2007-03-25
Category : Mathematics
ISBN : 9780691130880

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The Calculus Lifesaver by Adrian Banner Pdf

For many students, calculus can be the most mystifying and frustrating course they will ever take. Based upon Adrian Banner's popular calculus review course at Princeton University, this book provides students with the essential tools they need not only to learn calculus, but also to excel at it.

Understanding Analysis

Stephen Abbott
Understanding Analysis Book PDF

Author : Stephen Abbott
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780387215068

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Understanding Analysis by Stephen Abbott Pdf

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.

Introduction to Real Analysis

William F. Trench
Introduction to Real Analysis Book PDF

Author : William F. Trench
Publisher : Prentice Hall
Page : 0 pages
File Size : 52,9 Mb
Release : 2003
Category : Applied mathematics
ISBN : 0130457868

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Introduction to Real Analysis by William F. Trench Pdf

Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.

Naked Statistics: Stripping the Dread from the Data

Charles Wheelan
Naked Statistics Stripping the Dread from the Data Book PDF

Author : Charles Wheelan
Publisher : W. W. Norton & Company
Page : 320 pages
File Size : 55,5 Mb
Release : 2013-01-07
Category : Mathematics
ISBN : 9780393089820

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Naked Statistics: Stripping the Dread from the Data by Charles Wheelan Pdf

A New York Times bestseller "Brilliant, funny…the best math teacher you never had." —San Francisco Chronicle Once considered tedious, the field of statistics is rapidly evolving into a discipline Hal Varian, chief economist at Google, has actually called "sexy." From batting averages and political polls to game shows and medical research, the real-world application of statistics continues to grow by leaps and bounds. How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more. For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions. And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.

Understanding Real Analysis

Paul Zorn
Understanding Real Analysis Book PDF

Author : Paul Zorn
Publisher : CRC Press
Page : 336 pages
File Size : 54,5 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781315315072

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Understanding Real Analysis by Paul Zorn Pdf

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. Key Features: Meets and aligns with various student backgrounds Pays explicit attention to basic formalities and technical language Contains varied problems and exercises Drives the narrative through questions

A Mathematician's Survival Guide

Steven George Krantz
A Mathematician s Survival Guide Book PDF

Author : Steven George Krantz
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 46,7 Mb
Release : 2003
Category : Education
ISBN : 9780821834558

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A Mathematician's Survival Guide by Steven George Krantz Pdf

"When you are a young mathematician, graduate school marks the first step toward a career in mathematics. During this period, you will make important decisions which will affect the rest of your career. This book is a detailed guide to help you navigate graduate school and the years that follow. -- Publisher description.

Basic Real Analysis

Anthony W. Knapp
Basic Real Analysis Book PDF

Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
Page : 656 pages
File Size : 44,5 Mb
Release : 2007-10-04
Category : Mathematics
ISBN : 9780817644413

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Basic Real Analysis by Anthony W. Knapp Pdf

Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.

Calculus Reordered

David M. Bressoud
Calculus Reordered Book PDF

Author : David M. Bressoud
Publisher : Princeton University Press
Page : 242 pages
File Size : 47,7 Mb
Release : 2021-05-04
Category : Mathematics
ISBN : 9780691218786

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Calculus Reordered by David M. Bressoud Pdf

Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus presents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--especially Syracuse in Sicily and Alexandria in Egypt--as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends instead that the historical order--which follows first integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities--makes more sense in the classroom environment. Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.

Real Analysis (Classic Version)

Halsey Royden,Patrick Fitzpatrick
Real Analysis Classic Version Book PDF

Author : Halsey Royden,Patrick Fitzpatrick
Publisher : Pearson Modern Classics for Advanced Mathematics Series
Page : 0 pages
File Size : 52,6 Mb
Release : 2017-02-13
Category : Functional analysis
ISBN : 0134689496

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Real Analysis (Classic Version) by Halsey Royden,Patrick Fitzpatrick Pdf

This text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.

The Calculus of Happiness

Oscar E. Fernandez
The Calculus of Happiness Book PDF

Author : Oscar E. Fernandez
Publisher : Princeton University Press
Page : 176 pages
File Size : 48,5 Mb
Release : 2019-07-09
Category : Mathematics
ISBN : 9780691192314

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The Calculus of Happiness by Oscar E. Fernandez Pdf

How math holds the keys to improving one's health, wealth, and love life? What's the best diet for overall health and weight management? How can we change our finances to retire earlier? How can we maximize our chances of finding our soul mate? In The Calculus of Happiness, Oscar Fernandez shows us that math yields powerful insights into health, wealth, and love. Using only high-school-level math (precalculus with a dash of calculus), Fernandez guides us through several of the surprising results, including an easy rule of thumb for choosing foods that lower our risk for developing diabetes (and that help us lose weight too), simple "all-weather" investment portfolios with great returns, and math-backed strategies for achieving financial independence and searching for our soul mate. Moreover, the important formulas are linked to a dozen free online interactive calculators on the book's website, allowing one to personalize the equations. Fernandez uses everyday experiences--such as visiting a coffee shop--to provide context for his mathematical insights, making the math discussed more accessible, real-world, and relevant to our daily lives. Every chapter ends with a summary of essential lessons and takeaways, and for advanced math fans, Fernandez includes the mathematical derivations in the appendices. A nutrition, personal finance, and relationship how-to guide all in one, The Calculus of Happiness invites you to discover how empowering mathematics can be.

Real Analysis for the Undergraduate

Matthew A. Pons
Real Analysis for the Undergraduate Book PDF

Author : Matthew A. Pons
Publisher : Springer Science & Business Media
Page : 423 pages
File Size : 53,7 Mb
Release : 2014-01-25
Category : Mathematics
ISBN : 9781461496380

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Real Analysis for the Undergraduate by Matthew A. Pons Pdf

This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author’s engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: - examples to reinforce theory; - thorough explanations preceding definitions, theorems and formal proofs; - illustrations to support intuition; - over 450 exercises designed to develop connections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delve deeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate curriculum.

Calculus Simplified

Oscar Fernandez
Calculus Simplified Book PDF

Author : Oscar Fernandez
Publisher : Princeton University Press
Page : 270 pages
File Size : 48,5 Mb
Release : 2019-06-11
Category : Juvenile Nonfiction
ISBN : 9780691175393

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Calculus Simplified by Oscar Fernandez Pdf

"In Calculus simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a "Goldilocks approach" to learning calculus : just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure."--Page 4 de la couverture.

Look Both Ways

Jason Reynolds
Look Both Ways Book PDF

Author : Jason Reynolds
Publisher : Simon and Schuster
Page : 240 pages
File Size : 54,7 Mb
Release : 2020-10-27
Category : Juvenile Fiction
ISBN : 9781481438292

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Look Both Ways by Jason Reynolds Pdf

"A collection of ten short stories that all take place in the same day about kids walking home from school"--