Best books for enriching and clarifying your knowledge on algebraic geometry
Algebraic geometry is a brunch of mathematics, classically studying zeros of multivariate polynomials. In the modern world, it uses in the different section of science and technology. Such as robotics, Convex Optimization, Phylogenetic Trees are highly used algebraic geometry for solving numerous problems. So, if you have an interest in this site or want to work with geometry, below books will help you for making yourself an expert on algebraic geometry.
- introduction to algebraic geometry
- Coaxel system
- Pappus' theorem
- Mapping of euclidian theorem
- mappings of the inversive plane
- projective geometry of the plane
- Over 500 exercises
- Use of vectors and their products
This complete reference book on mathematics provides you all the basic theorem with proof. You can learn the simplifies mathematics with essential instruction and step by step explanations. Best book for understanding all the theorems easily.
What you'll learn-
- 120 principles
- Mathematical equations
- Essential laws and theorems
- Explanation on Fibonacci numbers and euclid elements
- Fundamental theory of geometry
This book offers you the most complex three important things like geometry, relativity and the fourth dimension. All the topics are decorated nicely for the beginners who are not expert in geometry or others. If you want to relate geometry and relativity, this book will best choice for you. Also, you can learn about the fourth dimension and its impact on the scientific calculation by this book.
What you'll learn-
- Non-Euclidean geometry
- Time as a higher dimension
- The shape of space-time
- Special relativity
- Time travel
- 141 excellent illustrations
This book mainly used for self-study and textbook for graduate and higher level student. It only requires a minimal background in undergraduate abstract algebra and linear algebra, then you can read and understand the book. Most of the results are proved and it will suitable for the beginner.
What you'll learn-
- Commutative algebra
- Cohomology
- Point-set topology
- Linear algebra
- applications to robotics
5. Algebraic Geometry: Part I: Schemes. With Examples and Exercises (Advanced Lectures in Mathematics)
This is an amazing book for students of algebraic geometry. It can be used as both a reference and a learning source. You can learn many methodical techniques for solving any geometrical problems, Also, it provides several examples from Hilbert modular surfaces.
What you'll learn-
- Cohomology
- Discussion on Hilbert modular surfaces
- Introduction to modern algebraic geometry
- Abstract algebra
- Topology
- Example with step by step explanations
This 6-page laminated book helps you to learn the basic branch of geometry. You can never go through any kind of complex geometrical analysis without this basic things. In one word, the best reference for clarifying your geometry basics
What you'll learn-
- Geometric Formulas
- Lines
- Defined terms
- Rays and planes
- Angle and line segments
This book is for beginners as well as researchers. It discusses all the algebraic geometry topics more fluently and clearly. You can learn the complex topics such as multivariable calculus, conics very technically and easily by following the instruction of this book
What you'll learn-
- Introduction to circles, ellipses, hyperbolas and parabolas
- Higher degree curves
- Multivariable calculus
- Linear algebra
- Geometric objects of higher dimension
- Algebraic geometry
- Sheaves and cohomology
If you want to learn algebraic geometry from the very basic, this book will give you complete instructions and step by step explanations on this topic.
What you'll learn-
- Introduction to the Weil-Zariski geometry
- Lines and curves
- Geometrical theorem
- Geometrical equations
- Basic algebraic geometry.
This book has an attractive and accessible introduction to algebraic geometry. All the topics are written in the way that anybody can understand easily. Also, researchers can use that book for gaining some extra basic knowledge for their research works.
What you'll learn-
- Introduction to algebraic geometry
- Riemann--Roch theorem for curves
- Proof of all principle
This comprehensive book has readable and accessible introductory discussion on algebraic geometry. You can learn many advanced theorems with proof easily. Also, it provides you more than 200 exercise for making yourself an expert on geometrical theorems
What you'll learn-
- Introductory algebraic geometry
- Modern algebraic geometry
- Bertini's theorems for general linear systems
- Intersection theory
- Zariski's main theorem
- More than 200 exercises
