عنوان

Reading, writing, and proving :

شابک

1441994785

شابک

1441994793

شابک

9781441994783

شابک

9781441994790

شابک اشتباه

9781441994783

شماره

b623599

عنوان اصلي

Reading, writing, and proving :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a closer look at mathematics /

نام نخستين پديدآور

Ulrich Daepp, Pamela Gorkin.

وضعيت ويراست

2nd ed.

محل نشرو پخش و غیره

New York :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

©2011.

نام خاص و کميت اثر

1 online resource (xiii, 376 pages)

عنوان فروست

Undergraduate texts in mathematics

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Reading, Writing, and Proving -- Preface -- Contents -- Chapter 1: The How, When, and Why of Mathematics -- Solutions to Exercises -- Spotlight: George Pólya -- Problems -- Tips on Doing Homework -- Chapter 2: Logically Speaking -- Solutions to Exercises -- Problems -- Chapter 3: Introducing the Contrapositive and Converse -- Definitions -- Solutions to Exercises -- Problems -- Chapter 4: Set Notation and Quantifiers -- Solutions to Exercises -- Problems -- Tips on Quantification -- Chapter 5: Proof Techniques -- Definitions -- Problems

متن يادداشت

Chapter 11: PartitionsDefinition -- Solutions to Exercises -- Problems -- Tips on Putting It All Together -- Chapter 12: Order in the Reals -- Definitions -- Solutions to Exercises -- Problems -- Chapter 13: Consequences of the Completeness of R -- Definitions -- Solutions to Exercises -- Problems -- Tips: You Solved It. Now What? -- Chapter 14: Functions, Domain, and Range -- Definitions -- Solutions to Exercises -- Spotlight: The Definition of Function -- Problems -- Chapter 15: Functions, One-to-One, and Onto -- Definitions

متن يادداشت

DefinitionsSolutions to Exercises -- Problems -- Chapter 22: Finite Sets and an Infinite Set -- Definition -- Solutions to Exercises -- Problems -- Chapter 23: Countable and Uncountable Sets -- Definitions -- Solutions to Exercises -- Problems -- Chapter 24: The Cantor�SchrÜder�Bernstein Theorem -- Definitions -- Solutions to Exercises -- Spotlight: The Continuum Hypothesis -- Problems -- Chapter 25: Metric Spaces -- Definitions -- Solutions to Exercises -- Problems -- Chapter 26: Getting to Know Open and Closed Sets -- Definitions

متن يادداشت

Solutions to ExercisesProblems -- Chapter 16: Inverses -- Definitions -- Solutions to Exercises -- Problems -- Chapter 17: Images and Inverse Images -- Definitions -- Solutions to Exercises -- Spotlight: Minimum or Infimum? -- Problems -- Chapter 18: Mathematical Induction -- Definitions -- Solutions to Exercises -- Problems -- Chapter 19: Sequences -- Definitions -- Solutions to Exercises -- Problems -- Chapter 20: Convergence of Sequences of Real Numbers -- Definitions -- Solutions to Exercises -- Problems -- Chapter 21: Equivalent Sets

متن يادداشت

Tips on DefinitionsChapter 6: Sets -- Definitions -- Solutions to Exercises -- Spotlight: Paradoxes -- Problems -- Chapter 7: Operations on Sets -- Definition -- Solutions to Exercises -- Problems -- Chapter 8: More on Operations on Sets -- Definitions -- Solutions to Exercises -- Problems -- Chapter 9: The Power Set and the Cartesian Product -- Definitions -- Solutions to Exercises -- Problems -- Tips on Writing Mathematics -- Chapter 10: Relations -- Definitions -- Solutions to Exercises -- Problems -- Tips on Reading Mathematics

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

Reading, Writing, and Proving is designed to guide mathematics students during their transition from algorithm-based courses such as calculus, to theorem and proof-based courses. This text not only introduces the various proof techniques and other foundational principles of higher mathematics in great detail, but also assists and inspires students to develop the necessary abilities to read, write, and prove using mathematical definitions, examples, and theorems that are required for success in navigating advanced mathematics courses. In addition to an introduction to mathematical logic, set theory, and the various methods of proof, this textbook prepares students for future courses by providing a strong foundation in the fields of number theory, abstract algebra, and analysis. Also included are a wide variety of examples and exercises as well as a rich selection of unique projects that provide students with an opportunity to investigate a topic independently or as part of a collaborative effort. New features of the Second Edition include the addition of formal statements of definitions at the end of each chapter; a new chapter featuring the Cantor-Schröder-Bernstein theorem with a spotlight on the continuum hypothesis; over 200 new problems; two new student projects; and more. An electronic solutions manual to selected problems is available online. From the reviews of the First Edition: "The book ... emphasizes Pòlya's four-part framework for problem solving (from his book How to Solve It) ... [it] contains more than enough material for a one-semester course, and is designed to give the instructor wide leeway in choosing topics to emphasize ... This book has a rich selection of problems for the student to ponder, in addition to "exercises" that come with hints or complete solutions ... I was charmed by this book and found it quite enticing."--Marcia G. Fung for MAA Reviews " ... A book worthy of serious consideration for courses whose goal is to prepare students for upper-division mathematics courses. Summing Up: Highly recommended."--J.R. Burke, Gonzaga University for CHOICE Reviews.

منبع سفارش / آدرس اشتراک

Springer

شماره انبار

978-1-4419-9478-3

عنوان

Reading, writing, and proving.

موضوع مستند نشده

Mathematics-- Study and teaching (Higher)-- United States.

موضوع مستند نشده

Technical writing-- Study and teaching (Higher)-- United States.

موضوع مستند نشده

Mathematics-- Study and teaching (Higher)

موضوع مستند نشده

Technical writing-- Study and teaching (Higher)

موضوع مستند نشده

United States.

بدون عنوان

7

موضوع مستند نشده

MAT018000

موضوع مستند نشده

PBC

موضوع مستند نشده

PBC

موضوع مستند نشده

PBCD

موضوع مستند نشده

PBCD

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Daepp, Ulrich.

مستند نام اشخاص تاييد نشده

Gorkin, Pamela.

تاريخ عمليات

20201221082711.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

کد کاربرگه

270410

تكميل شده

Y