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Cambridge Mathematical Textbooks Ser.: Introduction to Proofs and Proof Strategies by Shay Fuchs (2023, Trade Paperback)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-101009096281
ISBN-139781009096287
eBay Product ID (ePID)6058640653
Product Key Features
Number of Pages349 Pages
Publication NameIntroduction to Proofs and Proof Strategies
LanguageEnglish
Publication Year2023
SubjectLogic
TypeTextbook
AuthorShay Fuchs
Subject AreaMathematics
SeriesCambridge Mathematical Textbooks Ser.
FormatTrade Paperback
Dimensions
Item Height0.7 in
Item Length10 in
Item Width7 in
Additional Product Features
LCCN2022-058524
Reviews'Every student in the sciences should be exposed to the basic language of modern mathematics, and standard courses such as calculus or linear algebra do not play this role. The ideal textbook for such a course should not attempt to be encyclopedic and should not assume special prerequisites. It should cover a carefully chosen selection of topics efficiently, engagingly, thoroughly, without being overbearing. Fuchs' text fits this description admirably. The level is right, the math is rock solid, the writing is very pleasant. The book talks to the reader, without ever sounding patronizing. A vast selection of problems, many including solutions, will be splendidly helpful both in a classroom setting and for self-study.' Paolo Aluffi, Florida State University
Dewey Edition23
IllustratedYes
Dewey Decimal511.36
Table Of ContentContents; Preface; Part I. Core Material; 1. Numbers, Quadratics and Inequalities; 2. Sets, Functions and the Field Axioms; 3. Informal Logic and Proof Strategies; 4. Mathematical Induction; 5. Bijections and Cardinality; 6. Integers and Divisibility; 7. Relations; Part II. Additional Topics; 8. Elementary Combinatorics; 9. Preview of Real Analysis - Limits and Continuity; 10. Complex Numbers; 11. Preview of Linear Algebra; Notes; References; Index.
SynopsisEmphasizing the creative nature of mathematics, this conversational textbook guides students through the process of discovering a proof. The material revolves around possible strategies to approaching a problem without classifying 'types of proofs' or providing proof templates. Instead, it helps students develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow. Beginning by discussing familiar and fundamental topics from a more theoretical perspective, the book moves on to inequalities, induction, relations, cardinality, and elementary number theory. The final supplementary chapters allow students to apply these strategies to the topics they will learn in future courses. With its focus on 'doing mathematics' through 200 worked examples, over 370 problems, illustrations, discussions, and minimal prerequisites, this course will be indispensable to first- and second-year students in mathematics, statistics, and computer science. Instructor resources include solutions to select problems., Emphasizing the creative nature of mathematics, this conversational textbook guides students through the process of discovering a proof as they transition to advanced mathematics. Using several strategies, students will develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow.
LC Classification NumberQA9.54.F83 2023
