Power Geometry in Algebraic and Differential Equations
eBook - ePub

Power Geometry in Algebraic and Differential Equations

  1. 396 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Power Geometry in Algebraic and Differential Equations

About this book

The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed.The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems.The efficiency of the calculus is demonstrated with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics. The calculus also gives classical results obtained earlier intuitively and is an alternative to Algebraic Geometry, Differential Algebra, Lie group Analysis and Nonstandard Analysis.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Power Geometry in Algebraic and Differential Equations by A.D. Bruno in PDF and/or ePUB format, as well as other popular books in Matemáticas & Geometría algebraica. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Elsevier Science
Year
2000
Print ISBN
9780444502971
eBook ISBN
9780080539331
Topic
Matemáticas
Subtopic
Geometría algebraica

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright page
  5. Dedication
  6. Preface
  7. Chapter 0: Introduction
  8. Chapter 1: The linear inequalities
  9. Chapter 2: Singularities of algebraic equations
  10. Chapter 3: Asymptotics of solutions to a system of ordinary differential equations
  11. Chapter 4: Hamiltonian truncations of a Hamiltonian system
  12. Chapter 5: Local analysis of singularities of a reversible system of ordinary differential equations
  13. Chapter 6: Singularities of systems of arbitrary equations
  14. Chapter 7: Self-similar solutions
  15. Chapter 8: On complexity of problems of Power Geometry
  16. Bibliography
  17. Subject index