Fundamentals of Advanced Mathematics V3

Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations. This volume is the prerequisite to the analytic and geometric study of nonlinear systems. Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more Presents an ideal prerequisite resource on the analytic and geometric study of nonlinear systems Provides theory as well as practical information

Produk Detail:

  • Author : Henri Bourles
  • Publisher : Elsevier
  • Pages : 424 pages
  • ISBN : 0081023863
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFundamentals of Advanced Mathematics V3

Fundamentals of Advanced Mathematics V3

Fundamentals of Advanced Mathematics V3
  • Author : Henri Bourles
  • Publisher : Elsevier
  • Release : 11 October 2019
GET THIS BOOKFundamentals of Advanced Mathematics V3

Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections,

Advanced Calculus: Fundamentals of Mathematics

Advanced Calculus: Fundamentals of Mathematics
  • Author : Carlos Polanco
  • Publisher : Bentham Science Publishers
  • Release : 31 July 2019
GET THIS BOOKAdvanced Calculus: Fundamentals of Mathematics

Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and computer simulations. This textbook covers the fundamental requirements of vector calculus in curricula for college students in mathematics and engineering programs. Chapters start from the basics of vector algebra, real valued functions, different forms of integrals, geometric algebra and the various theorems relevant to vector calculus and differential forms. Readers will find

Fundamentals of Advanced Mathematics 1

Fundamentals of Advanced Mathematics 1
  • Author : Henri Bourles
  • Publisher : Elsevier
  • Release : 10 July 2017
GET THIS BOOKFundamentals of Advanced Mathematics 1

This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed.

Advanced Calculus

Advanced Calculus
  • Author : Lynn Harold Loomis,Shlomo Sternberg
  • Publisher : World Scientific Publishing Company
  • Release : 26 February 2014
GET THIS BOOKAdvanced Calculus

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this

Fracture, an Advanced Treatise: Mathematical fundamentals and environmental effects. -v.3. Engineering fundamentals and environmental effects. -v.4. Engineering fracture design. -v.5. Fracture design of structures. -v.6. Fracture of metals. -v.7. Fracture of nonmetals and composites

Fracture, an Advanced Treatise: Mathematical fundamentals and environmental effects. -v.3. Engineering fundamentals and environmental effects. -v.4. Engineering fracture design. -v.5. Fracture design of structures. -v.6. Fracture of metals. -v.7. Fracture of nonmetals and composites
  • Author : Harold Liebowitz
  • Publisher : Unknown Publisher
  • Release : 01 March 1968
GET THIS BOOKFracture, an Advanced Treatise: Mathematical fundamentals and environmental effects. -v.3. Engineering fundamentals and environmental effects. -v.4. Engineering fracture design. -v.5. Fracture design of structures. -v.6. Fracture of metals. -v.7. Fracture of nonmetals and composites

Fundamentals of Actuarial Mathematics

Fundamentals of Actuarial Mathematics
  • Author : S. David Promislow
  • Publisher : John Wiley & Sons
  • Release : 06 January 2011
GET THIS BOOKFundamentals of Actuarial Mathematics

This book provides a comprehensive introduction to actuarial mathematics, covering both deterministic and stochastic models of life contingencies, as well as more advanced topics such as risk theory, credibility theory and multi-state models. This new edition includes additional material on credibility theory, continuous time multi-state models, more complex types of contingent insurances, flexible contracts such as universal life, the risk measures VaR and TVaR. Key Features: Covers much of the syllabus material on the modeling examinations of the Society of

Book of Proof

Book of Proof
  • Author : Richard H. Hammack
  • Publisher : Unknown Publisher
  • Release : 01 January 2016
GET THIS BOOKBook of Proof

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a