Introduction to Topology and Geometry (Hardcover)
Language: English
Published by Princeton University Press, New Jersey, 2026
- Hardcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
Condition: New
£ 121.49
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Hardcover. 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 our UK warehouse or from our Australian or US warehouses, depending on stock availability.…
Seller Inventory # 9780691284477
- Title
- Introduction to Topology and Geometry (Hardcover)
- Author
- Ciprian Manolescu
- Publisher
- Princeton University Press, New Jersey
- Publication year
- 2026
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0691284474
- ISBN 13
- 9780691284477
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
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CitiRetail
Stevenage, United Kingdom
AbeBooks seller since June 29, 2022
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