Advanced Mathematics : : An Invitation in Preparation for Graduate School / / Patrick Guidotti.
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 grad...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2022 |
Year of Publication: | 2022 |
Language: | English |
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Guidotti, Patrick, author. aut http://id.loc.gov/vocabulary/relators/aut Advanced Mathematics : An Invitation in Preparation for Graduate School / Patrick Guidotti. Berlin ; Boston : De Gruyter, [2022] ©2022 1 online resource (XVI, 200 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook Frontmatter -- Contents -- Foreword -- 1 Sets and functions -- 2 Numbers -- 3 Vectors and their spaces -- 4 The topology of metric spaces -- 5 Differentiation -- 6 Manifolds -- 7 Ordinary differential equations -- 8 Optimization -- 9 Partial differential equations -- 10 Probability -- 11 Answers to selected questions -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) Mathematics Textbooks. Gewöhnliche Differentialgleichungen. Partielle Differentialgleichungen. Topologie. Vektorräume. Wahrscheinlichkeit. Zahlen. Sets and functions, numbers, vectors, topology, differentiation, manifolds, ordinary differential equations, partial differential equations, probability. Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 9783110766820 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English 9783110993899 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 9783110994810 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English 9783110993868 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 9783110770445 ZDB-23-DMA EPUB 9783110780987 print 9783110780857 https://doi.org/10.1515/9783110780925 https://www.degruyter.com/isbn/9783110780925 Cover https://www.degruyter.com/document/cover/isbn/9783110780925/original |
language |
English |
format |
eBook |
author |
Guidotti, Patrick, Guidotti, Patrick, |
spellingShingle |
Guidotti, Patrick, Guidotti, Patrick, Advanced Mathematics : An Invitation in Preparation for Graduate School / De Gruyter Textbook Frontmatter -- Contents -- Foreword -- 1 Sets and functions -- 2 Numbers -- 3 Vectors and their spaces -- 4 The topology of metric spaces -- 5 Differentiation -- 6 Manifolds -- 7 Ordinary differential equations -- 8 Optimization -- 9 Partial differential equations -- 10 Probability -- 11 Answers to selected questions -- Index |
author_facet |
Guidotti, Patrick, Guidotti, Patrick, |
author_variant |
p g pg p g pg |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Guidotti, Patrick, |
title |
Advanced Mathematics : An Invitation in Preparation for Graduate School / |
title_sub |
An Invitation in Preparation for Graduate School / |
title_full |
Advanced Mathematics : An Invitation in Preparation for Graduate School / Patrick Guidotti. |
title_fullStr |
Advanced Mathematics : An Invitation in Preparation for Graduate School / Patrick Guidotti. |
title_full_unstemmed |
Advanced Mathematics : An Invitation in Preparation for Graduate School / Patrick Guidotti. |
title_auth |
Advanced Mathematics : An Invitation in Preparation for Graduate School / |
title_alt |
Frontmatter -- Contents -- Foreword -- 1 Sets and functions -- 2 Numbers -- 3 Vectors and their spaces -- 4 The topology of metric spaces -- 5 Differentiation -- 6 Manifolds -- 7 Ordinary differential equations -- 8 Optimization -- 9 Partial differential equations -- 10 Probability -- 11 Answers to selected questions -- Index |
title_new |
Advanced Mathematics : |
title_sort |
advanced mathematics : an invitation in preparation for graduate school / |
series |
De Gruyter Textbook |
series2 |
De Gruyter Textbook |
publisher |
De Gruyter, |
publishDate |
2022 |
physical |
1 online resource (XVI, 200 p.) Issued also in print. |
contents |
Frontmatter -- Contents -- Foreword -- 1 Sets and functions -- 2 Numbers -- 3 Vectors and their spaces -- 4 The topology of metric spaces -- 5 Differentiation -- 6 Manifolds -- 7 Ordinary differential equations -- 8 Optimization -- 9 Partial differential equations -- 10 Probability -- 11 Answers to selected questions -- Index |
isbn |
9783110780925 9783110766820 9783110993899 9783110994810 9783110993868 9783110770445 9783110780987 9783110780857 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA37 |
callnumber-sort |
QA 237.3 G85 42022 |
genre_facet |
Textbooks. |
url |
https://doi.org/10.1515/9783110780925 https://www.degruyter.com/isbn/9783110780925 https://www.degruyter.com/document/cover/isbn/9783110780925/original |
illustrated |
Not Illustrated |
doi_str_mv |
10.1515/9783110780925 |
oclc_num |
1336990358 |
work_keys_str_mv |
AT guidottipatrick advancedmathematicsaninvitationinpreparationforgraduateschool |
status_str |
n |
ids_txt_mv |
(DE-B1597)614050 (OCoLC)1336990358 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 |
is_hierarchy_title |
Advanced Mathematics : An Invitation in Preparation for Graduate School / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
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1770177810649841664 |
fullrecord |
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