Transition to Advanced Mathematics (Textbooks in Mathematics)

This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics. 
The authors implement the practice recommended by the Committee on the Undergraduate Program in Mathematics (CUPM) curriculum guide, that a modern mathematics program should include cognitive goals and offer a broad perspective of the discipline. 
Part I offers: 
An introduction to logic and set theory. 
Proof methods as a vehicle leading to topics useful for analysis, topology, algebra, and probability. 
Many illustrated examples, often drawing on what students already know, that minimize conversation about "doing proofs." 
An appendix that provides an annotated rubric with feedback codes for assessing proof writing. 
Part II presents the context and culture aspects of the transition experience, including: 
21st century mathematics, including the current mathematical culture, vocations, and careers. 
History and philosophical issues in mathematics. 
Approaching, reading, and learning from journal articles and other primary sources. 
Mathematical writing and typesetting in LaTeX. 
Together, these Parts provide a complete introduction to modern mathematics, both in content and practice. 
Table of Contents 
Part I - Introduction to Proofs 
Logic and Sets Arguments and Proofs Functions Properties of the Integers Counting and Combinatorial Arguments Relations\nPart II - Culture, History, Reading, and Writing 
Mathematical Culture, Vocation, and Careers History and Philosophy of Mathematics Reading and Researching Mathematics Writing and Presenting Mathematics 
Appendix A. Rubric for Assessing Proofs 
Appendix B. Index of Theorems and Definitions from Calculus and Linear Algebra 
Bibliography 
Index 
Biographies 
Danilo R. Diedrichs is an Associate Professor of Mathematics at Wheaton College in Illinois. Raised and educated in Switzerland, he holds a PhD in applied mathematical and computational sciences from the University of Iowa, as well as a master’s degree in civil engineering from the Ecole Polytechnique Fédérale in Lausanne, Switzerland. His research interests are in dynamical systems modeling applied to biology, ecology, and epidemiology. 
Stephen Lovett is a Professor of Mathematics at Wheaton College in Illinois. He holds a PhD in representation theory from Northeastern University. His other books include Abstract Algebra: Structures and Applications (2015), Differential Geometry of Curves and Surfaces, with Tom Banchoff (2016), and Differential Geometry of Manifolds (2019).

Science & Math

Lovett, Stephen

Diedrichs, Danilo R.

Mathematics

Chapman and Hall/CRC

This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics.

See the best price to sell, buy, or rent books by Diedrichs, Danilo R.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Diedrichs, Danilo R.

See the best price to sell, buy, or rent books by Diedrichs, Danilo R.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Transition to Advanced Mathematics (Textbooks in Mathematics)

Transition to Advanced Mathematics (Textbooks in Mathematics)