Advanced Mathematics

An Invitation in Preparation for Graduate School

Patrick Guidotti

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English

De Gruyter
01 August 2022

Mathematical foundations

Series: De Gruyter Textbook

This exploration of a selection of fundamental topics and general purpose tools provides a roadmap to undergraduate students who yearn for a deeper dive into many of the concepts and ideas they have been encountering in their classes whether their motivation is pure curiosity or preparation for graduate studies. The topics intersect a wide range of areas encompassing both pure and applied mathematics. The emphasis and style of the book are motivated by the goal of developing self-reliance and independent mathematical thought. Mathematics requires both intuition and common sense as well as rigorous, formal argumentation.

This book attempts to showcase both, simultaneously encouraging readers to develop their own insights and understanding and the adoption of proof writing skills. The most satisfying proofs/arguments are fully rigorous and completely intuitive at the same time.

By: Patrick Guidotti
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 376g
ISBN: 9783110780857
ISBN 10: 3110780852
Series: De Gruyter Textbook
Pages: 216
Publication Date: 01 August 2022
Audience: College/higher education , Primary , Primary
Format: Paperback
Publisher's Status: Active

Patrick Guidotti graduated from the Universität Zürich, did postdoctoral research at the Martin-Luther Universität Halle-Wittenberg and at the California Institute of Technology, where he later held the position of Von Karman Instructor. He is currently a professor at UC Irvine.

Reviews for Advanced Mathematics: An Invitation in Preparation for Graduate School

"""The author succeeds at giving the reader a good notion of the content and feel of these basic areas in a fairly short book. Will prospective students find it of value? For some students I have known - ones who expect to see only more things like the calculus they really like - it offers a sort of warning. For students desiring a more realistic picture of the mathematics they might see in advanced courses, this offers a solid and appealing treatment."" Bill Satzer in: https: //maa.org/press/maa-reviews/advanced-mathematics-an-invitation-in-preparation-for-graduate-school (06..11.2023)"