All the Math You Missed

2. Auflage 2021
ISBN: 978-1-00-900919-5
Verlag: Cambridge University Press

Buch, Englisch, 416 Seiten, Paperback, Format (B × H): 178 mm x 254 mm, Gewicht: 779 g

Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The explanations are accompanied by numerous examples, exercises and suggestions for further reading that allow the reader to test and develop their understanding of these core topics. Featuring four new chapters and many other improvements, this second edition of All the Math You Missed is an essential resource for advanced undergraduates and beginning graduate students who need to learn some serious mathematics quickly.

Autoren/Hrsg.

Garrity, Thomas A.

Inhaltsverzeichnis

On the structure of mathematics; Brief summaries of topics; 1. Linear Algebra; 2. e and d real analysis; 3. Calculus for vector-valued functions; 4. Point set topology; 5. Classical Stokes' theorems; 6. Diff erential forms and Stokes' theorem; 7. Curvature for curves and surfaces; 8. Geometry; 9. Countability and the Axiom of Choice; 10. Elementary number theory; 11. Algebra; 12. Algebraic number theory; 13. Complex analysis; 14. Analytic number theory; 15. Lebesgue integration; 16. Fourier analysis; 17. Diff erential equations; 18. Combinatorics and probability theory; 19. Algorithms; 20. Category theory; Appendix A. Equivalence relations; References; Index.

Über Autor(innen)

Garrity, Thomas A.
Thomas A. Garrity is the Webster Atwell Class of 1921 Professor of Mathematics at Williams College, Massachusetts, where he was the director of the Williams College Project for Effective Teaching for many years. Among his awards are Rice University's Nicolas Salgo Outstanding Teaching award and the Haimo award of the MAA. His other books include Algebraic Geometry: A Problem Solving Approach (2013, co-authored) and Electricity and Magnetism for Mathematicians (2015).