Author:

Publisher: Arihant Publications India limited

Published:

Total Pages:

ISBN-13:

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Problems And Solutions In Mathematical Olympiad (Secondary 1)

Problems And Solutions In Mathematical Olympiad (Secondary 1)

Author: Zun Shan

Publisher: World Scientific

Published: 2024-05-28

Total Pages: 365

ISBN-13: 9811287228

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The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.


S.Chand’S Mathematics For Class IX Term II

S.Chand’S Mathematics For Class IX Term II

Author: H.K. Dass, Rama Verma & Bhagwat S. Sharma

Publisher: S. Chand Publishing

Published:

Total Pages: 449

ISBN-13: 8121938465

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S. Chand’s Mathematics books for Classes IX and X are completely based on CCE pattern of CBSE. The book for Term I covers the syllabus from April to September and the book for Term II covers the syllabus from October to March.


Operations Research

Operations Research

Author: D S Hira

Publisher: S. Chand Publishing

Published: 1992

Total Pages: 1510

ISBN-13: 8121902819

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The author have used numerical examples as the means for presentation of the underlying ideas of different operations research techniques.Accordingly,a large number of comprehensive solved examples,taken from a variety of fields,have been added in every chapter and they are followed by a set of unsolved problems with answers(and hints wherever required)through which readers can test their understanding of the subject matter.The book,in its present form,contains around 650,examples,1,280 illustrative diagrams.


Solutions of Nonlinear Schrӧdinger Systems

Solutions of Nonlinear Schrӧdinger Systems

Author: Zhijie Chen

Publisher: Springer

Published: 2014-11-24

Total Pages: 191

ISBN-13: 3662454785

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The existence and qualitative properties of nontrivial solutions for some important nonlinear Schrӧdinger systems have been studied in this thesis. For a well-known system arising from nonlinear optics and Bose-Einstein condensates (BEC), in the subcritical case, qualitative properties of ground state solutions, including an optimal parameter range for the existence, the uniqueness and asymptotic behaviors, have been investigated and the results could firstly partially answer open questions raised by Ambrosetti, Colorado and Sirakov. In the critical case, a systematical research on ground state solutions, including the existence, the nonexistence, the uniqueness and the phase separation phenomena of the limit profile has been presented, which seems to be the first contribution for BEC in the critical case. Furthermore, some quite different phenomena were also studied in a more general critical system. For the classical Brezis-Nirenberg critical exponent problem, the sharp energy estimate of least energy solutions in a ball has been investigated in this study. Finally, for Ambrosetti type linearly coupled Schrӧdinger equations with critical exponent, an optimal result on the existence and nonexistence of ground state solutions for different coupling constants was also obtained in this thesis. These results have many applications in Physics and PDEs.