Advanced Mathematics
eBook - ePub

Advanced Mathematics

An Invitation in Preparation for Graduate School

  1. 216 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Advanced Mathematics

An Invitation in Preparation for Graduate School

About this book

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.

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Yes, you can access Advanced Mathematics by Patrick Guidotti in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2022
Print ISBN
9783110780857
eBook ISBN
9783110780987

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. Foreword
  5. 1 Sets and functions
  6. 2 Numbers
  7. 3 Vectors and their spaces
  8. 4 The topology of metric spaces
  9. 5 Differentiation
  10. 6 Manifolds
  11. 7 Ordinary differential equations
  12. 8 Optimization
  13. 9 Partial differential equations
  14. 10 Probability
  15. 11 Answers to selected questions
  16. Subject Index