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The Real Analysis Lifesaver

The Real Analysis Lifesaver: All The Tools You Need To Understand Proofs


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 analysisClear, humorous, and easy-to-read styleTeaches students not just what the proofs are, but how to do them in more than 40 worked-out examplesEvery new definition is accompanied by examples and important clarificationsFeatures more than 20 fill in the blanks exercises to help internalize proof techniquesTried and tested in the classroom



  • Condition: --
    HPB condition ratings
    • New: Item is brand new, unused and unmarked, in flawless condition.
    • Fine/Like New (F): No defects, little usage. May show remainder marks. Older books may show minor flaws.
    • Very Good (VG): Shows some signs of wear and is no longer fresh. Attractive. Used textbooks do not come with supplemental materials.
    • Good (G): Average used book with all pages present. Possible loose bindings, highlighting, cocked spine or torn dust jackets. Used textbooks do not come with supplemental materials.
    • Fair (FR): Obviously well-worn, but no text pages missing. May be without endpapers or title page. Markings do not interfere with readability. Used textbooks do not come with supplemental materials.
    • Poor (P): All text is legible but may be soiled and have binding defects. Reading copies and binding copies fall into this category. Used textbooks do not come with supplemental materials.
    Conditions Guide
  • Format: Hardcover
  • Sold by: --
  • Language: English
  • Publisher: Princeton Univ Pr
  • ISBN-13: 9780691173870
  • ISBN: 0691173877
  • Publication Year: 2017
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HPB condition ratings
  • New: Item is brand new, unused and unmarked, in flawless condition.
  • Fine/Like New (F): No defects, little usage. May show remainder marks. Older books may show minor flaws.
  • Very Good (VG): Shows some signs of wear and is no longer fresh. Attractive. Used textbooks do not come with supplemental materials.
  • Good (G): Average used book with all pages present. Possible loose bindings, highlighting, cocked spine or torn dust jackets. Used textbooks do not come with supplemental materials.
  • Fair (FR): Obviously well-worn, but no text pages missing. May be without endpapers or title page. Markings do not interfere with readability. Used textbooks do not come with supplemental materials.
  • Poor (P): All text is legible but may be soiled and have binding defects. Reading copies and binding copies fall into this category. Used textbooks do not come with supplemental materials.
Conditions Guide
HPB condition ratings
  • New: Mint condition or still sealed (SS). Absolutely perfect in every way. New.
  • Fine/Like New (EX): No defects, little sign of use, well cared for. Plays perfectly. Close to new. Not necessarily sealed or unused, but close. Could be an unopened promotional or cut item. Sometimes called: mint-minus.
  • Very Good (VG): Will show some signs that it was played and otherwise handled by a previous owner who took good care of it.
  • Good (G): Attractive and well cared for, but no longer fresh. Minor signs of wear, scuffing or scratching, but will play almost perfectly. For vinyl: barely detectable crackles or pops.
  • Fair (FR): This item is in okay condition. For vinyl: good is not so good and the record may have low level crackles or pops when playing. CD: one or more tracks may skip.
  • Poor (P): Obviously well-worn and handled. Most vinyl collectors will not buy good or below, but some tracks on CD or vinyl will play.
Conditions Guide
HPB condition ratings
  • New: This movie is unopened and brand new.
  • Fine/Like New (EX): Near new. No defects, little sign of use. Plays perfectly. Not necessarily sealed or unused, but close. No skipping; no fuzzy or snowy frames in VHS.
  • Very Good (VG): Attractive and well cared for but no longer fresh. Minor signs of wear, but will play almost perfectly. For VHS: barely detectable distortion or very few fuzzy or snowy frames.
  • Good (G): This item is in okay condition and basically works well. There may be some minor distortion on VHS tape; slight scratching or wear on DVD.
  • Fair (FR): Basically plays, but may be obviously well-worn with some scratching or tape distortion.
  • Poor (P): Disc or tape is intact, but may be scratched or stretched. There may be skips or distortion or product defects.
Conditions Guide
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