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Books > Science & Mathematics > Mathematics > Algebra
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Essential Mathematics for Undergraduates - A Guided Approach to Algebra, Geometry, Topology and Analysis (Hardcover, 1st ed. 2021)
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Essential Mathematics for Undergraduates - A Guided Approach to Algebra, Geometry, Topology and Analysis (Hardcover, 1st ed. 2021)
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This textbook covers topics of undergraduate mathematics in
abstract algebra, geometry, topology and analysis with the purpose
of connecting the underpinning key ideas. It guides STEM students
towards developing knowledge and skills to enrich their scientific
education. In doing so it avoids the common mechanical approach to
problem-solving based on the repetitive application of dry
formulas. The presentation preserves the mathematical rigour
throughout and still stays accessible to undergraduates. The
didactical focus is threaded through the assortment of subjects and
reflects in the book's structure. Part 1 introduces the
mathematical language and its rules together with the basic
building blocks. Part 2 discusses the number systems of common
practice, while the backgrounds needed to solve equations and
inequalities are developed in Part 3. Part 4 breaks down the
traditional, outdated barriers between areas, exploring in
particular the interplay between algebra and geometry. Two
appendices form Part 5: the Greek etymology of frequent terms and a
list of mathematicians mentioned in the book. Abundant examples and
exercises are disseminated along the text to boost the learning
process and allow for independent work. Students will find
invaluable material to shepherd them through the first years of an
undergraduate course, or to complement previously learnt subject
matters. Teachers may pick'n'mix the contents for planning lecture
courses or supplementing their classes.
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