Heat Kernel Method and its Applications
Ivan G. Avramidi
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Description for Heat Kernel Method and its Applications
Hardback. .
The heart of the book is the development of a short-time asymptotic expansion for the heat kernel. This is explained in detail and explicit examples of some advanced calculations are given. In addition some advanced methods and extensions, including path integrals, jump diffusion and others are presented. The book consists of four parts: Analysis, Geometry, Perturbations and Applications. The first part shortly reviews of some background material and gives an introduction to PDEs. The second part is devoted to a short introduction to various aspects of differential geometry that will be needed later. ... Read more
The heart of the book is the development of a short-time asymptotic expansion for the heat kernel. This is explained in detail and explicit examples of some advanced calculations are given. In addition some advanced methods and extensions, including path integrals, jump diffusion and others are presented. The book consists of four parts: Analysis, Geometry, Perturbations and Applications. The first part shortly reviews of some background material and gives an introduction to PDEs. The second part is devoted to a short introduction to various aspects of differential geometry that will be needed later. ... Read more
Product Details
Publisher
Birkhäuser
Format
Hardback
Publication date
2015
Condition
New
Number of Pages
390
Place of Publication
Basel, Switzerland
ISBN
9783319262659
SKU
V9783319262659
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Heat Kernel Method and its Applications
Every chapter in this book contains a lot of information. Suggested further reading and precise references can be found at the end of each one. ... It is aimed towards non-specialists, allowing them to quickly enter into the heart of the matters described above. This volume will be very useful to those interested in asymptotic expansions of heat kernels and ... Read more