A collection of 24 classroom modules (PSPs) produced by TRIUMPHS that incorporate the reading of primary source excerpts to teach core mathematical topics. The selected excerpts are intertwined with thoughtfully designed student tasks that prompt st...Daugiau...
In a textbook for students who have completed a standard course in linear algebra and a course in basis analysis, Bisgard demonstrates the wide applicability of the analytic tools they have learned, and shows how to generalize many of the basic i...Daugiau...
Takes a fresh and innovative look at the teaching and learning of calculus. This text places its emphasis on the approximating processes and thus illuminates the motivating ideas and makes clearer the scientific usefulness, indeed centrality, of the...Daugiau...
(Išleidimo metai: 30-Jun-2020, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470451356)
The introductory textbook is for mathematics students at the advanced undergraduate level, and for students in the sciences and engineering who desire a rigorous introduction to mathematical analysis. Most of it provides a motivated introduction...Daugiau...
Fourier Series, Fourier Transforms, and Function Spaces is designed as a textbook for a second course or capstone course in analysis for advanced undergraduate or beginning graduate students. By assuming the existence and properties of the Lebesgue...Daugiau...
(Išleidimo metai: 01-Mar-2020, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470451455)
A textbook for a second course or capstone course in analysis for advanced undergraduate or beginning graduate students. By assuming the existence and properties of the Lebesgue integral, this book makes it possible for students who have previously...Daugiau...
(Išleidimo metai: 30-Jul-2019, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470451448)
In a textbook for an undergraduate course in real analysis, Bridger recognizes that besides mathematics majors, such courses attract students of secondary teaching, physical sciences, and computer science and need more (and less) than a foundatio...Daugiau...
(Išleidimo metai: 30-May-2019, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470449285)
Silva presents a textbook on real analysis for students who have completed calculus and linear algebra courses typical in US colleges and universities. One of the challenges teaching and learning real analysis, he says, is that Newton and Leibniz...Daugiau...
(Išleidimo metai: 30-Dec-2017, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470440626)
Offers a modern introduction to real analysis at the advanced undergraduate level. It is forward-looking in the sense that it first and foremost aims to provide students with the concepts and techniques they need in order to follow more advanced cou...Daugiau...
(Išleidimo metai: 30-Dec-2015, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470420574)
In this book, author Alberto Torchinsky presents readers with a collection of 1,457 conceptual problems for graduate level students of mathematics, designed to complement the existing literature on both real and functional analysis. His intent is to...Daugiau...
(Išleidimo metai: 30-Dec-2015, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470425449)
Stromberg discusses classical analysis that is real in the sense that he does not include any of the Cauchy theory of analytic functions. He considers infinite series and products in the setting of complex numbers, so complex numbers appear throughou...Daugiau...
(Išleidimo metai: 30-May-2013, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821891414)
Sally (mathematics, U. of Chicago) presents a textbook for an advanced analysis course at the freshman or sophomore level, a real analysis course at the junior or senior level, or an analysis course for beginning graduates. At all levels, students sh...Daugiau...
(Išleidimo metai: 30-Dec-2012, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821889848)
Taylor (mathematics, U. of Utah) has developed a textbook from notes for a two-semester undergraduate course he teaches for students who have completed three semesters of calculus and one semester of linear algebra. For many students, he says, this i...Daugiau...
Provides a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniq...Daugiau...
(Išleidimo metai: 01-Apr-2012, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821869321)
Duren (mathematics, U. of Michigan-Ann Arbor) offers a textbook for undergraduate students who have learned the basic principles of analysis as taught in an advanced calculus course, and are prepared to explore substantial topics in classical analysi...Daugiau...
Efthimiou (U. of Central Florida) presents material from a lecture series he delivered as part of training a math team. Students with backgrounds ranging from function theory to differentiability should be able to follow the book, particularly high s...Daugiau...