Invariant Integrals in Physics

Genady P. Cherepanov

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English

Springer Nature Switzerland AG
06 November 2020

Classical mechanics; Light (optics); Relativity physics; Mathematical physics; Mechanics of solids

In this book, all physical laws are derived from a small number of invariant integrals which express the conservation of energy, mass, or momentum. This new approach allows us to unify the laws of theoretical physics, to simplify their derivation, and to discover some novel or more universal laws. Newton's Law of gravity is generalized to take into account cosmic forces of repulsion, Archimedes' principle of buoyancy is modified for account of the surface tension, and Coulomb's Laws for rolling friction and for the interaction of electric charges are substantially repaired and generalized. For postgraduate students, lecturers and researchers.

By: Genady P. Cherepanov
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2019 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 454g
ISBN: 9783030283391
ISBN 10: 3030283399
Pages: 259
Publication Date: 06 November 2020
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Chapter 1. The laws of classical physics.- Chapter 2. Floating.- Chapter 3. Rolling.- Chapter 4. The theory of flight.- Chapter 5. The strength of adhesion.- Chapter 6. Fracture.- Chapter 7. The theory of fracking.- Chapter 8. Fatigue and superplasticity.- Chapter 9. Snow avalanches.- Chapter 10. Relativistic electron beams.- Chapter 11. Cosmology.

Genady Cherepanov is the author of Mechanics of Brittle Fracture, McGrawHill, 1978, 950 pp, Methods of Fracture Mechanics:Solid Matter Physics, Kluwer, 1997, 310 pp, and many other books; he also edited the encyclopedic treatise FRACTURE, 1998, Krieger, 870 pp. He was first to introduce invariant integrals in fracture mechanics in 1967, and later in hydrodynamics, electrodynamics, and cosmology.