James R.Kirkwood,Raina S.Robeva
A Bridge to Higher Mathematics
A Bridge to Higher Mathematics
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The book aims to provide a better transition for mathematics majors to advanced proof-based courses by exposing students to the fundamental nature and principles of constructing mathematical proofs. It covers four main courses required for the major, including probability, linear algebra, real analysis, and abstract algebra, and provides a short but rigorous introduction to each course. The book can also be used as a review tool at the end of course and for readers who want to learn the language and scope of these broad disciplines.
Format: Paperback / softback
Length: 245 pages
Publication date: 08 May 2024
Publisher: Taylor & Francis Ltd
The aim of this unique text is to provide an "experience" that will facilitate a smoother transition for mathematics majors to the advanced proof-based courses required for their major. If you "love mathematics, but hate proofs," this book is for you. Example-based courses such as introductory Calculus transition rather abruptly, and without a warning label, to proof-based courses, and may leave students with the unpleasant feeling that a subject they loved has turned into material they find hard to understand. The book exposes students and readers to the fundamental nature and principles of constructing mathematical proofs and in the context of the main courses required for the major, e.g., probability, linear algebra, real analysis, and abstract algebra. Four short chapters, each chapter focusing on a particular course, provide a short but rigorous introduction. Students then get a preview of the discipline, its focus, language, mathematical objects of interest, and common methods of proof presented in those courses. Because which ideas apply to which future courses may not be obvious in many transition courses, this structure addresses this need. The book may also be used as a review tool at the end of the course and for readers who want to learn the language and scope of the broad disciplines of linear algebra, abstract algebra, real analysis, and probability, before transitioning to these courses.
Weight: 398g
Dimension: 155 x 235 x 18 (mm)
ISBN-13: 9781032611846
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