Documents disponibles dans la collection

Real mathematical analysis / Charles Chapman Pugh

Public ISBD Titre : Real mathematical analysis Type de document : texte imprimé Auteurs : Charles Chapman Pugh, Auteur Editeur : Berlin : Springer-Verlag Année de publication : 2002 Collection : Undegraduate texts in mathematics Importance : XI-437 p. Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-0-387-95297-0 Note générale : With 133 ill. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Analyse  mathématique Analyse  mathématique  --  Problèmes  et  exercices Index. décimale : 517 Analyse mathématique Résumé : In this new introduction to undergraduate real analysis the author takes a different approach from past presentations of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians such as Dieudonne, Littlewood and Osserman. This book is based on the honors version of a course which the author has taught many times over the last 35 years at Berkeley. The book contains an excellent selection of more than 500 exercises. Note de contenu : - Real Numbers - A Taste of Topology - Functions of a Real Variable - Function Spaces - Multivariable Calculus - Lebesgue Theory Real mathematical analysis [texte imprimé] / Charles Chapman Pugh, Auteur . - Springer-Verlag, 2002 . - XI-437 p. : ill. ; 24 cm. - (Undegraduate texts in mathematics) . ISBN : 978-0-387-95297-0 With 133 ill. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Analyse  mathématique Analyse  mathématique  --  Problèmes  et  exercices Index. décimale : 517 Analyse mathématique Résumé : In this new introduction to undergraduate real analysis the author takes a different approach from past presentations of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians such as Dieudonne, Littlewood and Osserman. This book is based on the honors version of a course which the author has taught many times over the last 35 years at Berkeley. The book contains an excellent selection of more than 500 exercises. Note de contenu : - Real Numbers - A Taste of Topology - Functions of a Real Variable - Function Spaces - Multivariable Calculus - Lebesgue Theory

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046789	517 PUG	Papier	Bibliothèque Annexe	Mathématiques	Disponible

Introduction to calculs and classical analysis / Hijab , Omar

Public ISBD Titre : Introduction to calculs and classical analysis Type de document : texte imprimé Auteurs : Hijab , Omar, Auteur Editeur : Berlin : Springer-Verlag Année de publication : 1997 Collection : Undegraduate texts in mathematics Importance : XII-306 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-387-94926-0 Note générale : With 68 ill. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Calcul  infinitésimal Analyse  mathématique Calculus Mathematical  analysis Index. décimale : 517.1 Introduction à l'analyse mathématique Résumé : This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by instead using sequences * definition of the integral as the area under the graph, while area is defined for EVERY subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book Note de contenu : - The set of real numbers - Continuity - Differentiation - Integration - Applications Introduction to calculs and classical analysis [texte imprimé] / Hijab , Omar, Auteur . - Springer-Verlag, 1997 . - XII-306 p. : ill. ; 25 cm. - (Undegraduate texts in mathematics) . ISBN : 978-0-387-94926-0 With 68 ill. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Calcul  infinitésimal Analyse  mathématique Calculus Mathematical  analysis Index. décimale : 517.1 Introduction à l'analyse mathématique Résumé : This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by instead using sequences * definition of the integral as the area under the graph, while area is defined for EVERY subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book Note de contenu : - The set of real numbers - Continuity - Differentiation - Integration - Applications

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046785	517.1 HIJ	Papier	Bibliothèque Centrale	Mathématiques	Disponible

Glimpses of algebra and geometry / Toth , Gabor

Public ISBD Titre : Glimpses of algebra and geometry Type de document : texte imprimé Auteurs : Toth , Gabor, Auteur Mention d'édition : 2 éd Editeur : Berlin : Springer-Verlag Année de publication : 2002 Collection : Undegraduate texts in mathematics Sous-collection : Readings in mathematics Importance : XXII-450 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-387-95345-8 Note générale : Index Langues : Anglais (eng) Mots-clés : Algebra Geometry Index. décimale : 512 Algèbre Résumé : This new edition includes invaluable improvements throughout the text, including an in-depth treatment of root formulas, a detailed and complete classification of finite Möbius groups a la Klein, and a quick, direct, and modern approach to Felix Klein "Normalformsatz," the main result of his spectacular theory of icosahedron and his solution of the irreducible quintic in terms of hypergeometric functions. Gabor Toth is the Chair and Graduate Director of the Department of Mathematical Sciences at Rutgers University, Camden. His previous publications include Finite Mobius Groups, Spherical Minimal Immersions and Moduli (2001), Harmonic Maps and Minimal Immersion Through Representation Theory (1990) and Harmonic and Minimal Maps with Applications in Geometry and Physics (1984). Professor Toth main fields of interest involve the geometry of eigenmaps and spherical minimal immersions and the visualization of mathematics via computers. Note de contenu : - A Number is a multitude composed of units" (Euclid) - "..there are no irrational numbers at all" (Kronecker) - Rationality, Elliptic Curves and Fermat's Last Theorem. - Algebraic or Transcendential ? - Complex Arithmetic - Quadratic, Cubic, and Quartic Equations - Stereographic Projection - Proof of the Fundamental Theorem of Algebra - Symmetries of Regular Polygons - Discrete Subgroups of Iso(R2) - Möbius Geometry - Complex Linear Fractional Transformations - "Out of nothing I have created a new universe" (Bolyai) ... Glimpses of algebra and geometry [texte imprimé] / Toth , Gabor, Auteur  . -  2 éd . - Springer-Verlag, 2002 . - XXII-450 p. : ill. ; 25 cm. - (Undegraduate texts in mathematics. Readings in mathematics) . ISBN : 978-0-387-95345-8 Index Langues : Anglais (eng) Mots-clés : Algebra Geometry Index. décimale : 512 Algèbre Résumé : This new edition includes invaluable improvements throughout the text, including an in-depth treatment of root formulas, a detailed and complete classification of finite Möbius groups a la Klein, and a quick, direct, and modern approach to Felix Klein "Normalformsatz," the main result of his spectacular theory of icosahedron and his solution of the irreducible quintic in terms of hypergeometric functions. Gabor Toth is the Chair and Graduate Director of the Department of Mathematical Sciences at Rutgers University, Camden. His previous publications include Finite Mobius Groups, Spherical Minimal Immersions and Moduli (2001), Harmonic Maps and Minimal Immersion Through Representation Theory (1990) and Harmonic and Minimal Maps with Applications in Geometry and Physics (1984). Professor Toth main fields of interest involve the geometry of eigenmaps and spherical minimal immersions and the visualization of mathematics via computers. Note de contenu : - A Number is a multitude composed of units" (Euclid) - "..there are no irrational numbers at all" (Kronecker) - Rationality, Elliptic Curves and Fermat's Last Theorem. - Algebraic or Transcendential ? - Complex Arithmetic - Quadratic, Cubic, and Quartic Equations - Stereographic Projection - Proof of the Fundamental Theorem of Algebra - Symmetries of Regular Polygons - Discrete Subgroups of Iso(R2) - Möbius Geometry - Complex Linear Fractional Transformations - "Out of nothing I have created a new universe" (Bolyai) ...

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046783	512 TOT	Papier	Bibliothèque Centrale	Mathématiques	Disponible