Top Differential Geometry Concepts and Applications

The best Differential Geometry includes Riemannian Geometry by Manfredo P. Carmo, Visual Differential Geometry and Forms: A Two-Dimensional Approach, Benjamin Harrison: The 23rd President (1889-1893) and many others as mentioned below.

1

Riemannian Geometry by Manfredo P. Carmo

  • 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.
  • Average Rating out of 5:
  • Price Range: $49.99
2

Visual Differential Geometry and Forms: A Two-Dimensional Approach

  • 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
3

Benjamin Harrison: The 23rd President (1889-1893)

  • 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.
  • Average Rating out of 5:
  • Price Range: $17.19
4

Information Geometry and Applications (Applied Math)

  • 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.
  • Average Rating out of 5:
  • Price Range: $120.99
5

General Relativity: The Theoretical Minimum [Paperback]

  • 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.
  • Average Rating out of 5:
  • Price Range: $21.99
6

Monopoles and Manifolds (Mathematical Monographs)

  • 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

Graph Paper Notebook [100 Pages] - 5x5 Grid

  • 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.
  • Average Rating out of 5:
  • Price Range: $5.99
8

10x10 Graph Math Notebook [110 Pages]

  • 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.
  • Average Rating out of 5:
  • Price Range: $4.99
9

Differentiable Manifolds: An Introductory Course

  • 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.
  • Average Rating out of 5:
  • Price Range: $27.96
10

Regular Polytopes by H.S. Coxeter (Paperback Edition)

  • 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
11

Introduction to Manifolds (Universitext, 2nd Edition)

  • 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
12

Stable Mappings and Singularities (Graduate Mathematics)

  • 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

Differential Geometry: An Introduction (Dover)

  • 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.
  • Average Rating out of 5:
  • Price Range: $15.79
14

Differential Geometry of Curves and Surfaces

  • 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
15

Visual Introduction to Differential Calculus

  • 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.
  • Average Rating out of 5:
  • Price Range: $59.99
16

Gravity Math Geometry Rules Ebook

  • 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.
  • Average Rating out of 5:
  • Price Range: $18.99
17

Differential Geometry Lectures (2010 Reissue)

  • 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

Special Relativity and Classical Field Theory

  • 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.
  • Average Rating out of 5:
  • Price Range: $14.99
19

Introduction to Smooth Manifolds (Graduate Texts)

  • 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.
  • Average Rating out of 5:
  • Price Range: $46.99
20

Mathematical Expeditions: Explorers' Chronicles

  • 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.
  • Average Rating out of 5:
  • Price Range: $53.49
21

Mathematical Masterpieces: Explorers' Further Chronicles

  • 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

Visual Differential Geometry and Forms: A Journey

  • 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

Poisson Structures (Grundlehren der mathematischen Wissenschaften)

  • 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

Introduction to Smooth Manifolds [Graduate Texts]

  • 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.
  • Average Rating out of 5:
  • Price Range: $54.99
25

Differential Geometry: Comprehensive Introduction, Vol. 1

  • 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.
  • Average Rating out of 5:
  • Price Range: $50.00
26

Differential Geometry: Connections and Curvature

  • 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

Analysis on Manifolds (Advanced Books Classics)

  • 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

Elementary Differential Geometry [Revised 2nd Edition]

  • 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

Riemannian Geometry and Geometric Analysis (Universitext)

  • 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

General Relativity: The Theoretical Minimum [eBook]

  • 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