A Transition to Abstract Mathematics: Learning Mathematical Thinking and Wri...
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A Transition to Abstract Mathematics: Learning Mathematical Thinking and Wri...
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A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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eBay item number:335760971251
Item specifics
- Condition
- Release Year
- 2008
- Book Title
- A Transition to Abstract Mathematics: Learning Mathematical Th...
- ISBN
- 9780123744807
About this product
Product Identifiers
Publisher
Elsevier Science & Technology
ISBN-10
0123744806
ISBN-13
9780123744807
eBay Product ID (ePID)
66839888
Product Key Features
Number of Pages
384 Pages
Language
English
Publication Name
Transition to Abstract Mathematics : Learning Mathematical Thinking and Writing
Subject
General, Logic
Publication Year
2008
Type
Textbook
Subject Area
Mathematics, Study Aids
Format
Hardcover
Dimensions
Item Length
9.2 in
Item Width
7.5 in
Additional Product Features
Edition Number
2
Intended Audience
College Audience
LCCN
2008-027584
Dewey Edition
22
TitleLeading
A
Illustrated
Yes
Dewey Decimal
511.3/6
Table Of Content
Notation and AssumptionsSection I: Foundations of Logic and Proof Writing Ch 1. LogicCh 1. Language and MathematicsCh 2. Properties of Real Numbers Ch 3. Sets and Their Properties Ch 4. FunctionsSection II: Basic Principles of AnalysisCh 5. The Real NumbersCh 6. Sequences of Real Numbers Ch 7. Functions of a Real VariableSection III: Basic Principles of AlgebraCh 6. GroupsCh 7. RingsIndex
Synopsis
Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. A Transition to Abstract Mathematics teaches readers to construct proofs and communicate with the precision necessary for working with abstraction. It is based on two premises: composing clear and accurate mathematical arguments is critical in abstract mathematics, and that this skill requires development and support. Abstraction is the destination, not the starting point. Maddox methodically builds toward a thorough understanding of the proof process, demonstrating and encouraging mathematical thinking along the way. Skillful use of analogy clarifies abstract ideas. Clearly presented methods of mathematical precision provide an understanding of the nature of mathematics and its defining structure. After mastering the art of the proof process, the reader may pursue two independent paths. The latter parts are purposefully designed to rest on the foundation of the first, and climb quickly into analysis or algebra. Maddox addresses fundamental principles in these two areas, so that readers can apply their mathematical thinking and writing skills to these new concepts. From this exposure, readers experience the beauty of the mathematical landscape and further develop their ability to work with abstract ideas. Covers the full range of techniques used in proofs, including contrapositive, induction, and proof by contradiction Explains identification of techniques and how they are applied in the specific problem Illustrates how to read written proofs with many step by step examples Includes 20% more exercises than the first edition that are integrated into the material instead of end of chapter, Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. A Transition to Abstract Mathematics teaches readers to construct proofs and communicate with the precision necessary for working with abstraction. It is based on two premises: composing clear and accurate mathematical arguments is critical in abstract mathematics, and that this skill requires development and support. Abstraction is the destination, not the starting point. Maddox methodically builds toward a thorough understanding of the proof process, demonstrating and encouraging mathematical thinking along the way. Skillful use of analogy clarifies abstract ideas. Clearly presented methods of mathematical precision provide an understanding of the nature of mathematics and its defining structure. After mastering the art of the proof process, the reader may pursue two independent paths. The latter parts are purposefully designed to rest on the foundation of the first, and climb quickly into analysis or algebra. Maddox addresses fundamental principles in these two areas, so that readers can apply their mathematical thinking and writing skills to these new concepts. From this exposure, readers experience the beauty of the mathematical landscape and further develop their ability to work with abstract ideas., Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. A Transition to Abstract Mathematics teaches readers to construct proofs and communicate with the precision necessary for working with abstraction. It is based on two premises: composing clear and accurate mathematical arguments is critical in abstract mathematics, and that this skill requires development and support. Abstraction is the destination, not the starting point.Maddox methodically builds toward a thorough understanding of the proof process, demonstrating and encouraging mathematical thinking along the way. Skillful use of analogy clarifies abstract ideas. Clearly presented methods of mathematical precision provide an understanding of the nature of mathematics and its defining structure. After mastering the art of the proof process, the reader may pursue two independent paths. The latter parts are purposefully designed to rest on the foundation of the first, and climb quickly into analysis or algebra. Maddox addresses fundamental principles in these two areas, so that readers can apply their mathematical thinking and writing skills to these new concepts. From this exposure, readers experience the beauty of the mathematical landscape and further develop their ability to work with abstract ideas.
LC Classification Number
QA9.54.M34 2009
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- u***m (344)- Feedback left by buyer.Past 6 monthsVerified purchasegood quality book, in good condition, good price
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Seller feedback (30,105)
This item (1)
All items (30,105)
- u***m (344)- Feedback left by buyer.Past 6 monthsVerified purchasegood quality book, in good condition, good price
- i***k (543)- Feedback left by buyer.Past monthVerified purchaseGood price, fast shipping.
- t***r (1717)- Feedback left by buyer.Past monthVerified purchaseThanks
- 1***7 (2893)- Feedback left by buyer.Past monthVerified purchaseBook is in PERFECT condition and arrived quickly! This is a gift for my son for Christmas (was on his list last year and I couldn’t find it) and I’m so excited to be able to give it to him! Thanks a million!