Part I of this classic work offers a rigorous presentation of tensor calculus as a development of vector analysis. Part II discusses the most important applications of tensor calculus, including the use of tensors in classical analytical dynamics and the role of tensors in special relativity. A concluding section examines field equations of general relativity theory.
Utilizing lively, interactive software, this innovative workbook/CD-ROM package encourages student exploration, demonstrates the relevance of applied calculus, and enables students to actively partici
Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integrati
Clearly written text for advanced student covers: Necessary Conditions for an Extremum; Sufficient Conditions for an Extremum; Variations and Hamilton's Principle; the Nonparametric Problem of Bolza;
Enhanced by many worked examples — as well as problems and solutions — this in-depth text discusses the Kronecker matrix product. Named after a 19th-century German mathematician, Leopold K
Understanding tensors is essential for any physics student dealing with phenomena where causes and effects have different directions. A horizontal electric field producing vertical polarization in die
"Assuming only a knowledge of basic calculus, this text presents an elementary and gradual development of tensor theory. From this treatment, the traditional material of courses on vector analysis is
This book presents a concise and rigorous treatment of stochastic calculus. It also gives its main applications in finance, biology and engineering. In finance, the stochastic calculus is applied to p
Calculus & Its Applications builds intuition with key concepts of calculus before the analytical material. For example, the authors explain the derivative geometrically before they present limits,
NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab™ products exist for each title, and registrations are not transferable. T
This textbook on elementary stochastic calculus is designed for senior undergraduate students in math, economics, and business. Although the material is presented at an introductory level, students sh
Books a la Carte are unbound, three-hole-punch versions of the textbook. This lower cost option is easy to transport and comes with same access code or media that would be packaged with the bound book
While the original works on Malliavin calculus aimed to study the smoothness of densities of solutions to stochastic differential equations, this book has another goal. It portrays the most important
The purpose of this book is to bridge the gap between differential geometry of Euclidean space of three dimensions and the more advanced work on differential geometry of generalised space. The subject is treated with the aid of the Tensor Calculus, which is associated with the names of Ricci and Levi-Civita; and the book provides an introduction both to this calculus and to Riemannian geometry. The geometry of subspaces has been considerably simplified by use of the generalized covariant differentiation introduced by Mayer in 1930, and successfully applied by other mathematicians.
This text is basically divided into two parts. Chapters 1–4 include background material, basic theorems and isoperimetric problems. Chapters 5–12 are devoted to applications, geometrical optics, parti
C* tensor categories are a point of contact where Operator Algebras and Quantum Field Theory meet. They are the underlying unifying concept for homomorphisms of (properly infinite) von Neumann algebra
Stochastic analysis is not only a thriving area of pure mathematics with intriguing connections to partial differential equations and differential geometry. It also has numerous applications in the na
This textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories. The book also
