pp 431-432 Editorial
pp 433-433 Science Smiles
pp 437-439 Article-in-a-Box
pp 441-454 General Article
A magician from Moscow did stitcha maze of Galois groups and abelian varieties whichled math to progress by leaps and bounds,scale new heights and break new grounds.It behoves us to thank Igor Shafarevich!
Shafarevich was an algebraist and geometer of the highest orderwho pioneered several topics in both. The fundamental resultshe proved, as well as the conjectures he made, were beacons formathematical progress and universal landmarks. The first part Ш(pronounced “Sha”) of his surname was borrowed to denote an intriguing,elusive object called the ‘Tate–Shafarevich group’. Shafarevichheld strong views on the philosophy of mathematics andwrote at length on it. Here, we pick out some of the mathematicalgems resulting from Shafarevich-craft, so to say. In particular,we discuss his theorems and conjectures on Galois groups over Qand the role of his conjecture on curves and abelian varieties inthe proof of Mordell’s conjecture.
pp 455-460 General Article
Spiders are excellent models to study behavioural diversityand evolutionary adaptations in the animal world. This articleexplores the strategies used by spiders to maximise thesurvival of their offspring.
pp 461-473 General Article
Electricity is carried through metallic wires, called conductors.In the process, electrons move through metallic conductorsthat offer resistance (the value depends on the particularmetal used), to the passage of electrons. This leads to the productionof heat and loss of energy. This heating process isutilised in many electrical devices. However, for transmissionof electrical energy from the power plants to the user and inmany other applications, it would be a great boon if no energywas lost to resistance. The discovery of superconductivity byHeike Kamerlingh Onnes in 1911 at Leiden, offered a glimmerof hope to make this dream possible. It was a discoverytotally unexpected at that time, and we owe this discovery tothe painstaking andmethodical investigations of Onnes – firstto produce very low temperatures, and then measure propertiesof materials at these freezing temperatures.
pp 475-484 General Article
During its active lifetime, a star burns its nuclear fuel, andgravitation is held off by the pressure of the heated gas. Gravityshould take over once this fuel is exhausted unless someother agency saves the star from such a fate. Low mass starsfind peace as ‘white dwarfs’ when the electrons settle intoa Fermi degenerate phase where the pressure of degenerateelectrons balance the gravitational pressure.
pp 485-489 Classroom
In this series of articles, the authors discuss various phenomenain fluid dynamics, which may be investigated via tabletopexperiments using low-cost or home-made instruments. Thethird article in this series is about vortex rings and some interestingexperiments based on them.
pp 491-507 Classroom
The study of existence and uniqueness of solution of ordinarydifferential equation (ODE) became important due to the lack ofgeneral formula for solving nonlinear ODEs. In this article, weshall discuss briefly about the existence and uniqueness of solutionof a first order ODE. A special emphasis is given on theLipschitz continuous functions in the discussion.
pp 509-511 Book Review
pp 513-513 Flowering Trees