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Author : Douglas Smith
ISBN : 9781285463261
Genre : Mathematics
File Size : 46.8 MB
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A TRANSITION TO ADVANCED MATHEMATICS helps students to bridge the gap between calculus and advanced math courses. The most successful text of its kind, the 8th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematicallyâ€”to analyze a situation, extract pertinent facts, and draw appropriate conclusions. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Author : Gary Chartrand
ISBN : UCSC:32106019008397
Genre : Mathematics
File Size : 69.91 MB
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Mathematical Proofs: A Transition to Advanced Mathematics, 2/e, prepares students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets. KEY TOPICS: Communicating Mathematics, Sets, Logic, Direct Proof and Proof by Contrapositive, More on Direct Proof and Proof by Contrapositive, Existence and Proof by Contradiction, Mathematical Induction, Prove or Disprove, Equivalence Relations, Functions, Cardinalities of Sets, Proofs in Number Theory, Proofs in Calculus, Proofs in Group Theory. MARKET: For all readers interested in advanced mathematics and logic.

Author : Tony Barnard
ISBN : 9781315405766
Genre : Mathematics
File Size : 21.27 MB
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Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and then does a bit more. The book is intended for students who find the kind of reasoning in abstract mathematics courses unfamiliar and need extra support in this transition to advanced mathematics. The book gives a number of examples of groups and subgroups, including permutation groups, dihedral groups, and groups of integer residue classes. The book goes on to study cosets and finishes with the first isomorphism theorem. Very little is assumed as background knowledge on the part of the reader. Some facility in algebraic manipulation is required, and a working knowledge of some of the properties of integers, such as knowing how to factorize integers into prime factors. The book aims to help students with the transition from concrete to abstract mathematical thinking. ? Features Full proofs with all details clearly laid out and explained Reader-friendly conversational style Complete solutions to all exercises Focus on deduction, helping students learn how to construct proofs "Asides" to the reader, providing overviews and connections "What you should know" reviews at the end of each chapter

Author : David Mason
ISBN : PKEY:QA3053732
Genre : Education
File Size : 35.35 MB
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Author : William Johnston
ISBN : 9780195310764
Genre : Mathematics
File Size : 49.58 MB
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A Transition to Advanced Mathematics promotes the goals of a ``bridge'' course in mathematics, helping to lead students from courses in the calculus sequence to theoretical upper-level mathematics courses. The text simultaneously promotes the goals of a ``survey'' course, describing the intriguing questions and insights fundamental to many diverse areas of mathematics.

Author : Lee Fothergill
ISBN : 1792963505
Genre :
File Size : 55.89 MB
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This book is intended for students preparing for mathematics courses beyond the traditional Calculus sequence. This is a complete workbook containing all supporting content and explanation, and numerous exercises which can be completed in the pages of the book. This book also includes descriptions of major projects assigned in our transitions course. Supplements (PowerPoint, Beamer) are available on request.

Author : Gary Chartrand
ISBN : 9781292052342
Genre : Mathematics
File Size : 27.89 MB
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Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. Appropriate for self-study or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Written in a clear, conversational style, this book provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. It is also a great reference text that students can look back to when writing or reading proofs in their more advanced courses.