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Differential Geometry Concepts and Applications
1
Expanded edition of acclaimed Riemannian geometry textbook.
Designed for first-year graduate students in mathematics.
Elementary approach, minimal background required for readers.
Includes fundamental theorems and definitions for clarity.
Features numerous exercises to enhance understanding.
Structured from basics to advanced Sphere Theorem proof.
Valuable resource for instructors and students alike.
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Price Range: $49.99
2
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.
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Price Range: $47.45
3
Explores Benjamin Harrison's influential political legacy.
Details his role in the Gilded Age.
Analyzes his presidency with fresh perspectives.
Highlights significant legislative accomplishments during his term.
Discusses his unique electoral college victory.
Covers his relationship with the Republican Party.
Reconsiders Harrison's impact on American history.
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Price Range: $17.19
4
Comprehensive introduction to information geometry.
Written by the founder of the field.
Covers applications in multiple scientific disciplines.
Accessible without advanced knowledge of differential geometry.
Includes statistical inference and time series analysis.
Addresses topics in machine learning and optimization.
Ideal for graduate students and researchers alike.
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Price Range: $120.99
5
Explains Einstein’s general theory of relativity.
Written by renowned physicist Leonard Susskind.
Includes collaboration with André Cabannes.
Covers Riemannian spaces and tensor calculus.
Links gravity and geometry effectively.
Explores black holes and gravity waves.
Accessible introduction to complex physics concepts.
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Price Range: $21.99
6
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.
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Price Range: $160.37
7
5x5 grid, perfect for precise calculations.
100 pages of premium white graph paper.
Durable sage green cover for everyday use.
Ideal for students, professionals, and artists.
Large 8.5 x 11 inch standard size.
Light grey grid lines for easy visibility.
Versatile for sketching, note-taking, and journaling.
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Price Range: $5.99
8
110 graph ruled pages for versatile use.
Quad ruled 10x10 for precise drawing.
High-quality glossy cover for durability.
Perfect size: 8.5" x 11" for portability.
Ideal for students, artists, and engineers.
Grid ruled on both sides for convenience.
Thin gray lines enhance visibility and accuracy.
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Price Range: $4.99
9
Comprehensive course on differentiable manifolds.
Ideal for advanced undergraduates and graduate students.
Requires strong background in undergraduate mathematics.
Over 200 exercises for skill assessment.
Four-part structure covering key theoretical concepts.
Includes historical and philosophical insights.
Appendixes provide supplementary material for better understanding.
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Price Range: $27.96
10
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.
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Price Range: $11.51
11
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.
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Price Range: $40.96
12
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
13
Solid introduction to differential geometry concepts.
Ideal for advanced undergraduate and graduate students.
Covers classical theory of curves and surfaces.
Introduces tensor concepts in algebra and calculus.
Explores basics of Riemannian geometry.
Includes worked examples and exercises throughout.
Focuses on essential ideas and methods only.
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Price Range: $15.79
14
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.
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Price Range: $30.99
15
Visual approach to understanding differential calculus concepts.
Over 250 figures enhance geometric intuition and clarity.
Gradual buildup of ideas for better comprehension.
Clear writing style with accessible motivations.
Aimed at undergraduate math and physics students.
Requires basic knowledge of vector calculus.
Emphasizes theorems' importance as concepts develop.
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Price Range: $59.99
16
Explores math's role in understanding gravity.
Reveals geometry's impact on the universe.
Includes insights from renowned mathematicians.
Discusses concepts like black holes and gravitational waves.
Highlights the interplay between math and physics.
Offers a compelling perspective on mathematics' power.
A must-read for science enthusiasts and thinkers.
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Price Range: $18.99
17
Authored by renowned mathematicians Schoen and Yau.
Captures essential lectures from 1984 and 1985.
Focuses on advancements in differential geometry.
Published by the Institute for Advanced Studies.
Explains major twentieth-century geometrical developments.
Re-issued for accessibility to modern readers.
Ideal for students and professionals in mathematics.
Average Rating out of 5:
Price Range: $52.50
18
Bestselling physics series third volume.
Explores Einstein's special relativity and field theory.
Combines real math with enlightening illustrations.
Humorous approach to complex physics concepts.
Ideal for armchair physicists and enthusiasts.
Enhances understanding of waves, forces, and particles.
A must-read for physics lovers.
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Price Range: $14.99
19
Comprehensive introduction to smooth manifolds.
Focuses on essential mathematical tools and concepts.
Includes intuitive geometric discussions and illustrations.
Revised second edition with clarified topics.
Introduces key analytic tools earlier in the text.
Covers new topics like Sard's theorem and transversality.
Prerequisites include topology and linear algebra knowledge.
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Price Range: $46.99
20
Explore five unique mathematical journeys.
Discover insights from original mathematicians' writings.
Independent chapters accommodate varying mathematical expertise.
Engaging for students, instructors, and curious readers.
Includes exercises to tackle historical mathematical problems.
Uncover roots of modern mathematical concepts.
Learn about obstacles faced by early mathematicians.
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Price Range: $53.49
21
Explores primary mathematical sources for deeper understanding.
Annotated essays enhance appreciation of historical context.
Encourages critical thinking through original texts.
Utilizes insights from renowned biologist Stephen J. Gould.
Ideal for undergraduate students and mathematics enthusiasts.
Facilitates meaningful engagement with foundational concepts.
Encourages exploration of unique mathematical perspectives.
Average Rating out of 5:
Price Range: $45.82
22
Intuitive exploration of differential geometry and forms.
235 hand-drawn diagrams enhance understanding and visualization.
Four distinct proofs of Global Gauss-Bonnet theorem.
Geometrical proof of Gauss's Theorema Egregium included.
Introduction to Differential Forms for undergraduates.
Independent chapters for self-contained learning experience.
Revolutionizes teaching of differential geometry concepts.
Average Rating out of 5:
Price Range: $113.51
23
Comprehensive introduction to Poisson structures.
Covers various mathematical contexts and applications.
Includes solid foundational concepts and theories.
Detailed exposition of known Poisson structure types.
Focuses on integrable systems and deformation quantization.
Suitable for graduate students and advanced researchers.
Explains key properties indispensable for problem-solving.
Price Range: $96.55
24
Introductory graduate-level textbook on smooth manifolds.
Focuses on essential tools for research applications.
Covers tangent vectors, covectors, and vector bundles.
Explains tensors and differential forms comprehensively.
Includes intuitive geometric discussions with illustrations.
Revised second edition with updated and clearer content.
Prerequisites include topology, algebra, and real analysis.
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Price Range: $54.99
25
Thorough introduction to differentiable manifolds.
Significant updates in the third edition.
Covers classical and modern differential geometry.
Detailed explanations of integral curves and vector fields.
In-depth discussion on differential equations and forms.
Extensive treatment of cohomology and Euler characteristic.
Ideal for mathematicians and physicists alike.
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Price Range: $50.00
26
Graduate-level introduction to differential geometry.
Covers connections, curvature, and characteristic classes.
Historical development of differential geometry concepts.
Exercises reinforce understanding and extend theory.
Prerequisite knowledge of manifolds and differential forms.
Self-contained with algebraic construction sections.
Applications in physics, topology, and other fields.
Average Rating out of 5:
Price Range: $43.00
27
Comprehensive introduction to manifold calculus.
Suitable for readers with basic calculus knowledge.
Covers calculus on arbitrary surfaces and manifolds.
Includes problem sets to reinforce learning concepts.
Accessible and engaging writing style for learners.
Part of the Advanced Books Classics series.
Ideal for students and self-learners alike.
Average Rating out of 5:
Price Range: $67.49
28
Introduces geometry of curves and surfaces.
Accessible for students with calculus and linear algebra background.
Includes updates on Mathematica and Maple software.
Focus on topological properties and geodesics.
Over 36,000 copies sold globally.
Enhanced exercises and hints for computer modeling.
Suitable for self-study and comprehensive learning.
Average Rating out of 5:
Price Range: $57.89
29
Comprehensive guide to Riemannian geometry fundamentals.
Explores geodesics, connections, and curvature concepts.
Includes harmonic functions and geometric analysis tools.
Discusses variational principles in theoretical physics.
Updated 7th edition with new material included.
Accessible for readers familiar with differential geometry.
Valuable resource for geometric research and study.
Average Rating out of 5:
Price Range: $58.22
30
Explains Einstein’s general theory of relativity.
Written by renowned physicist Leonard Susskind.
Covers mathematics of Riemannian spaces and tensor calculus.
Links gravity with geometry effectively.
Explores topics like black holes and gravity waves.
Provides clear, vivid explanations for complex concepts.
Ideal for readers seeking deeper physical understanding.
Average Rating out of 5:
Price Range: $19.99