Description
Springer The Gymnosperms by Chhaya Biswas, B.M. Johri
The Gymnosperms is a well-illustrated comprehensive account of living and fossil plants of this group. Chapters 1 and 2 give a general account, and describe similarities and dissimilarities with pteridophytes and angiosperms. Chapter 3 deals with classification. The next 18 chapters (4-21) deal sequentially with fossil and living taxa. Phylogenetic relationships are considered for each order. Chapter 22 discusses the in vitro experimental studies on the growth, development and differentiation of vegetative and reproductive organs and tissues. Chapter 23 summarizes the economic importance of gymnosperms. Chapter 24 gives the conciuding remarks. Thus, there is a complete coverage of significant findings concerning morphology, anatomy, reproduction, development of embryo and seed, cytology, and -evolutionary trends and phylogeny. Ultrastructural and histochemical details are given wherever considered necessary. There is a comprehensive list of literature citations, and a plant index. This book is essentially meant for the postgraduate students in India and abroad. Undergraduate students can also use it profitably. The entire course should be taught in 25-30 lectures/hours and about 75 hours of field and laboratory work._x000D_ Table of contents :- _x000D_
I Events, Observables and States.- 1 From classical to quantum probability.- 2 Notational preliminaries.- 3 Finite dimensional quantum probability spaces.- 4 Observables in a simple quantum probability space.- 5 Variance and covariance.- 6 Dynamics in finite dimensional quantum probability spaces.- 7 Observables with infinite number of values and the Hahn-Hellinger Theorem.- 8 Probability distributions on? (?)and Gleason's Theorem.- 9 Trace class operators and Schatten's Theorem.- 10 Spectral integration and Stone's Theorem on the unitary representations of ?pk.- 11 Basic notions of the theory of unbounded operators.- 12 Spectral integration of unbounded functions and von Neumann's Spectral Theorem.- 13 Stone generators, characteristic functions and moments.- 14 Wigner's Theorem on the automorphisms of ?(?).- II Observables and States in Tensor Products of Hubert Spaces.- 15 Positive definite kernels and tensor products of Hilbert Spaces.- 16 Operators in tensor products of Hilbert Spaces.- 17 Symmetric and antisymmetric tensor products.- 18 Examples of discrete time quantum stochastic flows.- 19 The Fock Spaces.- 20 The Weyl Representation.- 21 Weyl Representation and infinitely divisible distributions.- 22 The symplectic group of ? and Shale's Theorem.- 23 Creation, conservation and annihilation operators in ?a(?).- III Stochastic Integration and Quantum Ito's Formula.- 24 Adapted processes.- 25 Stochastic integration with respect to creation, conservation and annihilation processes.- 26 A class of quantum stochastic differential equations.- 27 Stochastic differential equations with infinite degrees of freedom.- 28 Evans-Hudson Flows.- 29 A digression on completely positive linear maps and Stinespring's Theorem.- 30 Generators of quantum dynamical semigroups and the Gorini, Kossakowski, Sudarshan, Lindblad Theorem.- References.- Author Index._x000D_