Home
Books
Understanding Topology Concepts and Applications
1
Engaging introduction to knot theory for undergraduates.
Hands-on exercises to deepen understanding of concepts.
Only basic linear algebra knowledge required.
Explores knots and links through interactive activities.
Readers generate their own questions in knot theory.
Covers combinatorial knot invariants and knot polynomials.
Focus on virtual knots and unknotting operations.
Average Rating out of 5:
Price Range: $16.11
2
Comprehensive introduction to algebraic topology concepts.
Suitable for graduate course or self-study.
Emphasizes geometric intuition for better understanding.
Includes examples and exercises throughout the text.
Covers fundamental group, homology, and homotopy theory.
Features optional advanced topics for deeper exploration.
Readable exposition for varied learning levels.
Average Rating out of 5:
Price Range: $48.09
3
120 large pages for versatile use.
8.5 x 11 inches, perfect for easy handling.
Quad ruled 5 squares per inch format.
Ideal for math, science, and engineering tasks.
Light grid lines for clear visibility.
High-quality matte cover for durability.
Perfect for artists and sketching activities.
Average Rating out of 5:
Price Range: $5.99
4
Focuses on metric space and point-set topology.
Includes exercises with selected answers for practice.
Emphasizes applications of topology to analysis.
Presenting algebraic topology with geometric significance.
Clear explanations avoid excessive algebraic formalism.
Prerequisites: familiarity with real numbers and set theory.
Part of the prestigious Dover Mathematics series.
Average Rating out of 5:
Price Range: $9.99
5
Over 140 illustrative counterexamples in topology.
Succinct overview of general topology concepts included.
Each example is comprehensively analyzed and explained.
Features over 25 informative Venn diagrams and charts.
Discusses methods for constructing various counterexamples.
Includes problems and exercises for deeper understanding.
1978 edition with extensive bibliography for further reading.
Average Rating out of 5:
Price Range: $13.40
6
Intuitive exploration of differential geometry and forms.
235 hand-drawn diagrams enhance understanding and visualization.
Unique geometrical proofs of the Global Gauss-Bonnet theorem.
Simplified proof of Gauss's Theorema Egregium included.
Complete treatment of Riemann curvature tensor explained.
Intuitive introduction to Differential Forms for undergraduates.
Accessible to readers with basic calculus knowledge.
Average Rating out of 5:
Price Range: $47.45
7
25th Anniversary Edition with new Foreword by Penrose.
Includes new captions for all original 501 diagrams.
Geometrical reasoning transforms complex analysis learning.
High-quality paper ensures a premium reading experience.
Visual approach simplifies understanding of complex concepts.
Engaging, clear, and reader-friendly writing style.
Essential for anyone interested in mathematics.
Average Rating out of 5:
Price Range: $54.00
8
Comprehensive overview of fundamental topology concepts.
Ideal for a one-semester undergraduate course.
Begins with informal set theory discussions.
Covers metric spaces and distance functions extensively.
Explores topological spaces beyond metric concepts.
Focuses on connectedness and compactness properties.
Includes imaginative exercises for critical thinking development.
Average Rating out of 5:
Price Range: $14.55
9
Explains Euler's polyhedron formula simply.
Connects mathematics to everyday objects like soccer balls.
Traces the history from ancient Greeks to modern research.
Illustrates applications in topology and geometry.
Features numerous examples and engaging illustrations.
Highlights contributions from renowned mathematicians.
Ideal for mathematics enthusiasts and learners alike.
Average Rating out of 5:
Price Range: $40.00
10
Comprehensive review of General Topology concepts.
Over 391 solved problems for effective learning.
356 supplementary problems to reinforce understanding.
Step-by-step solutions for complex exercises.
Concise outline format for easy reference.
Supports leading General Topology textbooks.
Expert advice from renowned authors in topology.
Average Rating out of 5:
Price Range: $21.04
11
Introduction to topology for first-year math students.
Bridges concepts from geometry to topology intuitively.
Focus on congruence classes in Euclidean space.
Explains transformations and their effects on topology.
Includes exercises and problems for practice.
Featuring 101 black-and-white illustrations for clarity.
1974 edition with comprehensive topic coverage.
Average Rating out of 5:
Price Range: $13.85
12
Explores the controversial Axiom of Choice.
Analyzes mathematical disasters without Axiom of Choice.
Discusses monsters created by using Axiom of Choice.
Highlights alternatives to Axiom of Choice.
Includes examples from various mathematical fields.
Suitable for students and professionals in mathematics.
Enhances understanding of foundational mathematical principles.
Average Rating out of 5:
Price Range: $64.99
13
Comprehensive treatment of Floer homology.
Based on Seiberg–Witten monopole equations.
Analytic properties of Seiberg–Witten equations explored.
Defines Floer groups of general three-manifolds.
Detailed study of Floer group properties.
Includes applications in topology and calculations.
Suitable for graduate students and researchers.
Average Rating out of 5:
Price Range: $160.37
14
Engaging introduction to applied topology concepts.
Richly illustrated with 268 informative figures.
Ideal for self-study and course foundation.
Combines traditional algebraic topology with modern applications.
Explores biological, economic, and physical science applications.
Covers advanced topics like Morse theory and category theory.
First comprehensive text for mathematical science students.
Average Rating out of 5:
Price Range: $15.99
15
Fundamental text on Boolean algebra since 1963.
Concise and informal approach for better understanding.
Based on lectures from Professor Halmos.
Covers topics for advanced undergraduates and graduates.
Includes stimulating exercises at chapter ends.
Explores various algebraic structures and operations.
Ideal for mathematics and computing science students.
Average Rating out of 5:
Price Range: $9.95
16
Comprehensive introduction to combinatorial topology.
Ideal for undergraduate and graduate students.
Covers vector fields and surfaces thoroughly.
Includes homology of complexes and more.
Integration of problems and exercises provided.
1979 edition with valuable bibliography included.
Prerequisites: differential equations and multivariate calculus.
Average Rating out of 5:
Price Range: $8.99
17
Comprehensive guide to rotations and quaternions.
Ideal for upper-level undergraduates and graduates.
Focuses on geometric and quaternionic rotation operators.
Covers symmetries, matrices, and group fundamentals.
Includes illustrative problems with complete solutions.
Explores advanced topics like angular momentum and tensor bases.
Assumes basic knowledge of group theory concepts.
Average Rating out of 5:
Price Range: $14.99
18
Explores regular polytopes and their properties.
Comprehensive work by H. S. M. Coxeter.
Covers ancient and modern developments in geometry.
Includes multi-dimensional geometric concepts.
Illustrates with numerous figures and examples.
Accessible for readers with basic geometry knowledge.
Aesthetic appeal of symmetrical shapes emphasized.
Average Rating out of 5:
Price Range: $11.51
19
Integrates geometry, topology, and algorithms effectively.
Addresses mesh generation challenges in engineering.
Ideal for graduate-level mesh generation courses.
Focuses on elementary and attractive topics.
Explains breakthrough solutions in mesh generation.
Combines combinatorial and numerical algorithms seamlessly.
Useful for both teaching and practical applications.
Average Rating out of 5:
Price Range: $142.00
20
Blends complex numbers with geometry beautifully.
Easy proofs of classic geometry theorems included.
Self-contained; no prior knowledge required.
Suitable for one-semester courses.
Independent chapters for flexible reading.
Over 100 exercises for practice and exploration.
Ideal for geometry courses or problem-solving seminars.
Average Rating out of 5:
Price Range: $14.99
21
Explores Felix Klein's mathematical vision.
Connects geometry with Hindu mythology concepts.
Features computer-generated fractal images.
Step-by-step programming instructions provided.
Perfect for beginners in mathematics and coding.
Brings abstract ideas into visual representation.
Discover the beauty of mathematical art.
Average Rating out of 5:
Price Range: $32.81
22
Focus on computational aspects of invariant theory.
Algorithms for calculating invariant rings explained.
Introductory chapters on Gröbner basis methods included.
Discusses invariants of finite and reductive groups.
Emphasizes structural properties and computational methods.
Applications in graph theory and computer vision.
Second edition features major updates and additional content.
Price Range: $100.06
23
Explores the intersection of geometry and algebra.
Focuses on combinatorial topology and its applications.
Accessible to undergraduate and graduate students.
Requires no prior knowledge of topology or algebra.
Develops point set topology and group theory as needed.
Includes a rich selection of problems and solutions.
Encourages geometric intuition through visualized theorems.
Average Rating out of 5:
Price Range: $13.45
24
Comprehensive introduction to manifolds and topology.
Combines algebra, topology, and analysis concepts.
Applicable to mechanics, relativity, and quantum theory.
Focuses on mastering essential manifold topics.
Includes exercises with hints and solutions.
Suitable for graduate or advanced undergraduate courses.
Minimal prerequisites for effective self-study.
Average Rating out of 5:
Price Range: $40.96
25
Accessible introduction to stable singularities.
For first and second-year graduate students.
Combines classical theories of Whitney and Morse.
Includes the Malgrange Preparation Theorem.
Draws from notable mathematicians' works.
Aims to fill educational gaps in the subject.
Ideal resource for beginning students.
Average Rating out of 5:
Price Range: $95.34
26
Comprehensive coverage of curves and surfaces.
Clear exposition with elementary linear algebra emphasis.
Numerous examples and exercises for effective learning.
Hints and answers to selected problems included.
Revised and updated for current relevance.
Suitable for advanced undergraduates and graduate students.
Authored by renowned mathematician Manfredo P. do Carmo.
Average Rating out of 5:
Price Range: $30.99
27
Comprehensive introduction to profinite groups.
Reference for algebraic number theory specialists.
Focus on free profinite groups and subgroups.
Explains homology and cohomology simply.
Includes new appendices and updated content.
Features recent results and improved proofs.
Updated list of open questions and references.
Average Rating out of 5:
Price Range: $159.11
28
Comprehensive introduction to topology concepts.
Focus on metric and point-set topology.
Nontrivial applications of topology to analysis.
Elementary algebraic topology with geometric significance.
Proofs of significant results emphasized.
Includes exercises with selected solutions provided.
Prerequisites: real numbers and basic set theory.
Average Rating out of 5:
Price Range: $9.49
29
Chronicles Poincaré's journey in algebraic topology.
First English translations of influential mathematical papers.
Includes Poincaré's fundamental group discoveries.
Editorial comments enhance understanding and context.
Ties to the recently proved Poincaré conjecture.
Essential for historians and enthusiasts of topology.
Part of the respected History of Mathematics series.
Average Rating out of 5:
Price Range: $62.00
30
Accessible introduction to modern topology concepts.
Focuses on continuity and topological spaces.
Explains the Hairy Ball theorem clearly.
Covers homotopy groups and fundamental group.
Includes simplicial and singular homology discussions.
Material for two semester-long courses provided.
Engaging examples motivate further study in topology.
Average Rating out of 5:
Price Range: $19.24
