Algebraic Geometry Explained

Pasquale De Marco

Beschreibung

Embark on a captivating journey through the world of algebraic geometry with this comprehensive and accessible guide. Delve into the intricate relationship between algebra and geometry, uncovering the hidden structures that govern the behavior of geometric objects.

Discover the foundations of algebraic geometry, where we lay the groundwork for understanding algebraic varieties, the central objects of study in this field. Explore the concept of schemes, a generalized notion of space that extends the familiar concept of varieties, providing a powerful framework for studying geometric objects in great generality.

Unravel the mysteries of curves, the simplest and most fundamental type of algebraic variety. Investigate their properties, classifications, and applications, uncovering their significance in diverse fields such as cryptography and error-correcting codes.

Explore the realm of surfaces, two-dimensional varieties with rich geometric and topological structures. Discover quadrics, ruled and developable surfaces, and embark on a journey to classify these surfaces, revealing their unique characteristics and applications in architecture and engineering.

Venture into the vast landscape of higher-dimensional varieties, where we uncover the intricate interplay between geometry and topology. Investigate intersections and cohomology, unveiling the topological secrets of varieties. Delve into the concept of divisors and linear systems, gaining insights into the behavior of algebraic varieties.

Witness the power of algebraic geometry as we explore its diverse applications. Discover the connections between algebraic geometry and coding theory, cryptography, physics, and number theory, showcasing the remarkable versatility of this mathematical discipline.

With clear explanations, engaging examples, and insightful connections to other areas of mathematics, this book is an essential resource for students, researchers, and anyone fascinated by the beauty and power of algebraic geometry. Immerse yourself in the world of algebraic geometry and uncover the hidden elegance that lies at the intersection of algebra and geometry.

If you like this book, write a review!

Verfügbar seit: 02.06.2025.

Drucklänge: 163 Seiten.

Wissenschaft & Technologie

Weitere Bücher, die Sie mögen werden

Regression Analysis Guide -...

Daniel Garfield

In the age of artificial intelligence, data engineering plays a pivotal role in shaping the future. This comprehensive guide, "AI Data Engineering for Beginners," takes you on a journey through the core principles and practices that underpin the data-driven world of AI. Whether you're an aspiring data engineer, a curious enthusiast, or a student eager to understand the inner workings of AI, this book is your passport to the realm of data. 
This book bridges the gap between AI theory and practical implementation. With a wealth of real-world examples and hands-on guidance, you'll not only grasp the foundations of AI data engineering but also be ready to tackle your own AI projects. As the world becomes increasingly data-driven, your ability to shape, manage, and leverage data will be a sought-after skill, and "AI Data Engineering for Beginners" is your essential toolkit to step confidently into this exciting field. Whether you dream of revolutionizing industries or simply want to understand the tech shaping our world, this book is your starting point in mastering the data behind the AI revolution.

Zum Buch

Teamwork For Software Developers

Tom Henricksen

Developers are the powerhouse of exceptional teams. Collaborating with their team members with qualities of great team players. They can influence their peers and bring unity. Help your team achieve as a teamwork all-star!Learn the qualities of great team playersBuild influence and credibilityCreate team normsAdd accountability to your teamEstablish team structure

Zum Buch

Ancient Mesopotamian Astronomy...

Charles River Editors

In ancient Mesopotamia, the Sumerians also provided the civilizational template for the earliest forms of astronomy. As the Sumerians gazed at the sky and began mapping the cosmos, they successfully tracked retrograde motion and predicted lunar and solar eclipses, bringing forth thousands of years of discoveries made by enterprising astronomers.  
For the Mesopotamians, astronomy and astrology intertwined. Today, astronomy is understood as the scientific study of the universe, focusing on the physical properties of different bodies, from how they move to how they came into being. Conversely, astrology is a non-scientific belief system that interprets the stars and planets to predict human behavior, personality, or future events. However, in Mesopotamia, the astronomy determined the course of religion and the choices made by rulers, providing a certain mix between the mundane and the surreal. From their births to their deaths, the ancient Mesopotamians believed that deities surrounded them, and whether their social interactions were on the level of a smaller city or that of a larger nation-state, the deities played key roles in the social fabric of their society. Astronomy and astrology were thus wielded in order to divine supernatural intentions, and thereby plot proper courses in everyday life.

Zum Buch

The Planet You Inherit - Letters...

Larry L. Rasmussen

For the first time ever, love letters consciously written by elders of one geologic epoch to the young of another. 
 
 
 
Our children's and grandchildren's generation will face a different world, one affected by climate instability, mass uncertainty, and breathtaking extinction. In fact, the next generation will face the reality that human activity is changing the planet from one geological epoch to another. 
 
 
 
From this vantage point—two generations across two geological epochs facing a fundamentally changing planet—Larry Rasmussen writes to his grandchildren. As a grandfather invested in a green earth and climate justice as well as a scholar of faith-based earth ethics, Rasmussen bridges this gap between generations to write to the future about climate change, global citizenship, democracy, and legacy. In topics ranging from "A Viable Way of Life" and "Democracy" to "Where We've Come From" and "Who We Are Now," Rasmussen explores the large questions of justice, meaning, and faith, encouraging us to speak to and look to the future generation and their future world.

Zum Buch

The Inclusion Equation -...

Dr. Serena Huang

The Inclusion Equation is a comprehensive, one-of-a-kind guide to merging DEI and employee wellbeing concepts with data analytics and AI. In this book, renowned thought leader and professional keynote speaker Dr. Serena H. Huang explains exactly how to quantify the effectiveness of new talent strategies by connecting them to a firm ROI estimate, enabling listeners to approach and win the favor of higher-ups in any organization with the same effectiveness that marketing and financial departments do. 
 
 
 
This book is written in a style that is appealing and accessible to all listeners regardless of technical background, but with enough depth to provide real insight and strategies. Dr. Huang distills her ten years of Fortune 500 people analytics leadership experience into tools and framework you can leverage to measure and improve DEI and wellbeing in your workplace. Some of the topics explored in this book include how to attract and retain top talent, including Gen Z and Millennials, with tailored DEI and wellbeing strategies; quantifying not only a talent strategy's perceived initial effect on an organization, but also its improvement and expansion over time; turning DEI and wellbeing from illusive corporate concepts to quantifiable metrics; and how to harness the power of AI to create synchronized DEI and wellbeing strategies that maximize ROI.

Zum Buch

Quantum Prosperity : Accessing...

Ecnal Ver

The Quantum Path to Abundance
What if wealth is not only about hard work or luck, but about how you think and focus your energy? Quantum Prosperity reveals how the principles of quantum physics can be applied to money, success, and abundance. It shows that prosperity begins with your thoughts, beliefs, and intentions.
From Scarcity to Abundance
Many people live with a scarcity mindset, believing there is never enough. This audiobook guides you to shift from fear and limitation to trust and gratitude. By changing how you see money, you begin to attract opportunities, connections, and prosperity.
The Observer Effect on Wealth
Quantum physics teaches us that observation changes reality. In your financial life, this means what you focus on becomes real. When you give attention to abundance, you collapse those possibilities into your life.
Entanglement and Connection
Your wealth is not created alone. It is connected to relationships, networks, and opportunities. Quantum Prosperity explains how positive connections and generous actions create ripples that draw more abundance back to you.
Aligning with the Frequency of Money
Everything is energy, including wealth. By tuning your emotions and thoughts to gratitude, joy, and confidence, you align yourself with the frequency of prosperity. Simple practices like affirmations, visualization, and mindful giving help you stay connected to abundance.
Creating Your Prosperous Future
This audiobook offers practical exercises and affirmations that empower you to set clear intentions, release limiting beliefs, and trust the flow of prosperity. It is not just about gaining money, but about creating a full life of joy, purpose, and connection.
An Invitation to Prosperity
Quantum Prosperity invites you to explore the science of possibilities and apply it to your financial reality. Abundance is not far away. It is already within your reach, waiting for you to claim it.

Zum Buch