LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.8
Title	An Excursion through Elementary Mathematics, Volume I ([EBook]) : Real Numbers and Functions / / by Antonio Caminha Muniz Neto.
Author	Caminha Muniz Neto, Antonio
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2017.
Physical Details	XIII, 652 p. 73 illus. : online resource.
Series	Problem books in mathematics 0941-3502
ISBN	9783319538716
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-53871-6
Links to Related Works	Subject References: Algebra . Functions of real variables . General Algebraic Systems . Linear and Multilinear Algebras, Matrix Theory . Mathematics . Matrix theory . Real Functions . Authors: Caminha Muniz Neto, Antonio . Corporate Authors: SpringerLink (Online service) . Series: Problem books in mathematics . Classification: 515.8 .

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An Excursion through Elementary Mathematics, Volume I: Real Numbers and Functions

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