Introduction to Topology and Geometry - Couverture souple

Manolescu, Ciprian

9780691284620: Introduction to Topology and Geometry

Couverture souple

ISBN 10 : 0691284628 ISBN 13 : 9780691284620

Editeur : Princeton University Press, 2026

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A concise and unified introduction to the foundational concepts of modern topology and geometry

Topology and geometry are branches of mathematics with applications in fields ranging from physics and chemistry to computer science and economics. This textbook offers a rigorous yet accessible approach to the subject that integrates key concepts while providing a robust toolkit that can serve as a starting point for further specialization in diverse areas. It builds intuition by first exploring metric spaces and identifying which properties are topological―that is, unchanged by continuous transformations―and goes on to discuss topological spaces, topological manifolds, simplicial complexes, smooth manifolds, and Riemannian manifolds. Richly illustrated to encourage students to think visually, Introduction to Topology and Geometry is an essential introduction for advanced undergraduates and beginning graduate students in mathematics and related disciplines.

Provides a unified treatment of point-set topology, differential topology, and differential geometry
Prioritizes a deep understanding of core definitions and concepts
Includes complete proofs of the inverse and implicit function theorems, Sard’s theorem, the Whitney embedding theorem, and Gauss’s Theorema Egregium
Features exercises at the end of each section and a wealth of figures that illustrate the proofs, definitions, and examples presented in the text
Adaptable to semester-long and quarter-long courses

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l'auteur

Ciprian Manolescu is professor of mathematics at Stanford University.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Princeton University Press
Date d'�dition: 2026
Langue: anglais
ISBN 10: 0691284628
ISBN 13: 9780691284620
Reliure: Broch�
Nombre de pages: 256
Coordonn�es du fabricant: Princeton University Press
https://press.princeton.edu/books

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Introduction to Topology and Geometry

Ciprian Manolescu

Edit� par Princeton University Press, 2026

ISBN 10 : 0691284628 ISBN 13 : 9780691284620

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Introduction to Topology and Geometry (eng)

Manolescu, Ciprian

Edit� par Princeton University Press, 2026

ISBN 10 : 0691284628 ISBN 13 : 9780691284620

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Introduction to Topology and Geometry (Paperback or Softback)

Manolescu, Ciprian

Edit� par Princeton University Press 8/11/2026, 2026

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Introduction to Topology and Geometry

Ciprian Manolescu

Edit� par Princeton University Press, US, 2026

ISBN 10 : 0691284628 ISBN 13 : 9780691284620

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Paperback. Etat : New. A concise and unified introduction to the foundational concepts of modern topology and geometryTopology and geometry are branches of mathematics with applications in fields ranging from physics and chemistry to computer science and economics. This textbook offers a rigorous yet accessible approach to the subject that integrates key concepts while providing a robust toolkit that can serve as a starting point for further specialization in diverse areas. It builds intuition by first exploring metric spaces and identifying which properties are topological-that is, unchanged by continuous transformations-and goes on to discuss topological spaces, topological manifolds, simplicial complexes, smooth manifolds, and Riemannian manifolds. Richly illustrated to encourage students to think visually, Introduction to Topology and Geometry is an essential introduction for advanced undergraduates and beginning graduate students in mathematics and related disciplines.Provides a unified treatment of point-set topology, differential topology, and differential geometryPrioritizes a deep understanding of core definitions and conceptsIncludes complete proofs of the inverse and implicit function theorems, Sard's theorem, the Whitney embedding theorem, and Gauss's Theorema EgregiumFeatures exercises at the end of each section and a wealth of figures that illustrate the proofs, definitions, and examples presented in the textAdaptable to semester-long and quarter-long courses. N� de r�f. du vendeur LU-9780691284620

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Introduction to Topology and Geometry (Paperback)

Ciprian Manolescu

Edit� par Princeton University Press, New Jersey, 2026

ISBN 10 : 0691284628 ISBN 13 : 9780691284620

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Paperback. Etat : new. Paperback. A concise and unified introduction to the foundational concepts of modern topology and geometryTopology and geometry are branches of mathematics with applications in fields ranging from physics and chemistry to computer science and economics. This textbook offers a rigorous yet accessible approach to the subject that integrates key concepts while providing a robust toolkit that can serve as a starting point for further specialization in diverse areas. It builds intuition by first exploring metric spaces and identifying which properties are topologicalthat is, unchanged by continuous transformationsand goes on to discuss topological spaces, topological manifolds, simplicial complexes, smooth manifolds, and Riemannian manifolds. Richly illustrated to encourage students to think visually, Introduction to Topology and Geometry is an essential introduction for advanced undergraduates and beginning graduate students in mathematics and related disciplines.Provides a unified treatment of point-set topology, differential topology, and differential geometryPrioritizes a deep understanding of core definitions and conceptsIncludes complete proofs of the inverse and implicit function theorems, Sards theorem, the Whitney embedding theorem, and Gausss Theorema EgregiumFeatures exercises at the end of each section and a wealth of figures that illustrate the proofs, definitions, and examples presented in the textAdaptable to semester-long and quarter-long courses This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de r�f. du vendeur 9780691284620

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