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Viser: An Excursion Through Elementary Mathematics, Volume I - Real Numbers and Functions
An Excursion through Elementary Mathematics, Volume I Vital Source e-bog
Antonio Caminha Muniz Neto
(2017)
An Excursion through Elementary Mathematics, Volume I Vital Source e-bog
Antonio Caminha Muniz Neto
(2017)
An Excursion through Elementary Mathematics, Volume I Vital Source e-bog
Antonio Caminha Muniz Neto
(2017)
An Excursion Through Elementary Mathematics, Volume I
Real Numbers and Functions
Antonio Caminha Muniz Neto
(2017)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (Marts 2017)
- ISBN: 9783319538716
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- Vital Source 90 day rentals (dynamic pages)
- Udgiver: Springer Nature (Marts 2017)
- ISBN: 9783319538716R90
Bookshelf online: 90 dage fra købsdato.
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- Vital Source 180 day rentals (dynamic pages)
- Udgiver: Springer Nature (Marts 2017)
- ISBN: 9783319538716R180
Bookshelf online: 180 dage fra købsdato.
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Detaljer om varen
- Hardback
- Udgiver: Springer International Publishing AG (April 2017)
- ISBN: 9783319538709
This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Real Numbers, Functions, Real Analysis, Systems of Equations, Limits and Derivatives, and much more.
As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level.
The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
Chapter 1 The Set of Real Numbers.-
Chapter 2 Algebraic Identities, Equations and Systems.-
Chapter 3 Elementary Sequences.-
Chapter 4 Induction and the Binomial Formula.-
Chapter 5 Elementary Inequalities.-
Chapter 6 The Concept of Function.-
Chapter 7 More on Real Numbers.-
Chapter 8 Continuous Functions.-
Chapter 9 Limits and Derivatives.-
Chapter 10 Riemann's Integral.-
Chapter 11 Series of Functions.- Bibliography.- Appendix A Glossary.- Appendix B Hints and Solutions.