This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.

From the Contents: A. Lambert: Weighted shifts and composition operators on L2; - A.S.Cavaretta/A.Sharma: Variation diminishing properties and convexityfor the tensor product Bernstein operator; - B.P. Duggal: A note on generalised commutativity theorems in the Schatten norm; - B.S.Yadav/D.Singh/S.Agrawal: De Branges Modules in H2(Ck) of the torus; - D. Sarason: Weak compactness of holomorphic composition operators on H1; - H.Helson/J.E.McCarthy: Continuity of seminorms; - J.A. Siddiqui: Maximal ideals in local Carleman algebras; - J.G. Klunie: Convergence of polynomials with restricted zeros; - J.P. Kahane: On a theorem of Polya; - U.N. Singh: The Carleman-Fourier transform and its applications; - W. Zelasko: Extending seminorms in locally pseudoconvex algebras;

Rapid economic development gives enormous pressure on energy processing system which liberates few unacceptable byproducts that directly or indirectly involved to edifice unpleasant environment. Definitely, these byproducts depend on quality of crude oil and the opted processing system from which it get crosses but periodic monitoring of different environmental parameters of air, water and other contamination source like sulphur recovery should be acknowledged. It is observed that presently energy sector industries in India are following pinnacle growth without giving any satisfactory attention towards their impacts on environmental segment which becomes a subject of concern. Hence, there is urgent need to sketch a parallel path on which economic and environment can run parallel that may be achievable through opting updated technology, suitable processing system and through better management practices.

High quality seed is the key for successful agriculture in modern era. The seed quality as determined by vigour and viability of the seed, is influenced by the environmental conditions under which a seed crop matures. Besides environmental factors, seed production in okra is influenced by different factors such as sowing dates and plant geometry. Available reports suggest that planting dates play an important role in growth, fruit formation and seed yield in okra. The early sown crops experience high temperature and hot winds during their growth period resulting in stunted growth, less number of fruits and reduced seed yield. Whereas, the late sown crops which encounter high rainfall during flowering and fruit set are more prone to attack by insect-pests and diseases. Plant density also plays an important role in the seed production of okra. Keeping the above facts in view, this book was written describing the effect of date of sowing and plant geometry on growth, seed yield and seed quality of okra (variety Varsha Uphar). It also ascertains the relationship of different sowing dates and plant geometry with seed quality in okra.