Several branches of mathematics have utility and applicability in various areas of the industrial or professional field. We present you one of them, apropos of our collection of books on topology in PDF format.
Topology emerged as a branch of mathematics at the end of the 19th century. However, it was preceded by a series of events that led to its creation. For example, the concepts of limit and completeness of metric space, and creation of the non-rational real numbers.
Also, in the 17th century, the need arose to solve problems that geometry could not, such as formalizing processes like “continuity” and “proximity”. In our topology books, you will find quality information on the study of this discipline.
Topology is applied in different and varied fields of study, such as computer science, optometry, biology, and the industrial manufacture of various objects. It is, as can be seen, a very versatile discipline. It is related to other operations in mathematics such as differential equations and statistics.
We invite you to learn as much as you want about this interesting discipline by taking a look at our collection of over 10 books on topology PDF. Each title is available for free, easy, and immediate download.
Here we present our complete selection of Topology books:
#1 Introduction to Topology
Extension: PDF | 118 pages
Introduction to Topology por Tom Babinec, Chris Best and Michael Bliss is a comprehensive set of notes covering point-set and algebraic topology fundamentals. It provides clear explanations and examples, offering a solid foundation for those new to the field.
#2 Introduction to Topology
Extension: PDF | 113 pages
Introduction to Topology by Denis Auroux presents a comprehensive overview of fundamental topological concepts, from metric spaces to homotopy. This PDF is a valuable resource for anyone seeking a solid foundation in topology, motivating further exploration of the field.
#3 Lecture Notes on Topology
Extension: PDF | 133 pages
Lecture Notes on Topology por John Rognes is a concise guide to fundamental topological concepts, closely following Munkres' textbook. This PDF offers a structured introduction to set theory, topological spaces, continuous functions, and related theorems, making it an excellent resource for students.
#4 Topology: notes and problems
Extension: PDF | 37 pages
Topology: notes and problems por Prajwal Bajpai compiles concise notes and exercises, ideal for undergraduate students at IIT Kanpur studying topology. It covers metric spaces, topological spaces, product topology, and compactness, providing a solid foundation for further exploration.
#5 Topology: A Geometric Approach
Extension: PDF | 404 pages
Topology: A Geometric Approach by Terry Lawson provides a comprehensive and geometric introduction to topology, suitable for advanced undergraduates. It balances point-set topology with geometric applications, making it an ideal resource for those seeking a deep understanding of topological concepts and their relevance.
#6 Introduction to Topology
Extension: PDF | 203 pages
Introduction to Topology by nLab presents a comprehensive overview of basic topology, starting from set theory and progressing to point-set topology and manifolds. It emphasizes conceptual understanding and category theory to illuminate key aspects, making it valuable for anyone seeking a solid foundation in the field.
#7 Interior topology: A new approach in topology
Extension: PDF | 6 pages
Interior topology: A new approach in topology por Amer Himza Almyaly introduces a novel type of topology called Interior topology, drawing inspiration from real-world phenomena like planetary orbits. It explores the question of whether general topology can produce Interior topology and defines the i-base for it, offering new insights into topologic...
#8 Elements of point-set topology
Extension: PDF | 290 pages
Elements of point-set topology por Carlos Prieto is a rigorous exploration of fundamental topological concepts. This PDF serves as a valuable resource for understanding the building blocks of more advanced mathematics.
#9 General Topology
Extension: PDF | 78 pages
General Topology por Pierre Schapira presents a concise and self-contained exploration of fundamental topological concepts. It provides a solid foundation for understanding advanced topics in mathematics and is a valuable resource for students and researchers alike.
#10 Elementary Topology – Problem Textbook
Extension: PDF | 261 pages
Elementary Topology - Problem Textbook por O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov is a rigorous problem-solving guide to elementary topology. It offers a solid foundation with challenging exercises, making it invaluable for students seeking a deep understanding.
#11 A Concise Course in Algebraic Topology
Extension: PDF | 251 pages
A Concise Course in Algebraic Topology por J. P. May presents a succinct yet comprehensive introduction to algebraic topology. This PDF offers a valuable foundation in the core concepts, making it an ideal resource for anyone seeking a solid understanding of this area of mathematics.
#12 Generalized product topology (Article)
Extension: PDF | 7 pages
Generalized product topology (Article) por Xinxing Wu and Peiyong Zhu introduces a concept similar to the Tychonoff product, focusing on generalized product topology. It explores properties and preservation of connectedness within this framework.
#13 Topology of function spaces
Extension: PDF | 76 pages
Topology of function spaces por Andrew Marsh delves into the intricate relationships between topological spaces and their associated function spaces. This dissertation examines compactness, chain conditions, and sequential properties within these spaces, offering valuable insights for topology enthusiasts.
#14 Topology Through Inquiry
Extension: PDF | 330 pages
Topology Through Inquiry por Michael Starbird and Francis Su offers an engaging exploration of topology through guided discovery and problem-solving. It invites readers to actively construct their understanding of fundamental concepts and encourages a deeper appreciation for the subject.
#15 Topology for dummies (Article)
Extension: PDF | 9 pages
Topology for dummies (Article) por Damian Giaouris introduces fundamental concepts of topology, starting with metric spaces and progressing to more abstract topological spaces. It offers a concise overview suitable for beginners, making it a valuable resource for understanding the basics of topology.
Here ends our selection of free Topology books in PDF format. We hope you liked it and already have your next book!
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