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This book reinforces an understanding of Economics by showing how basic mathematics is used to construct models of the economy. By taking wide-ranging examples drawn for virtually all areas of economics, it shows how model-building is an indispensable aid to understanding economics.The mathematical techniques used in the book are fairly rudimentary — optimisation methods and equation-solving are the primary tools used. A brief explanation of constrained optimisation using Lagrange multipliers is provided. Throughout, the emphasis is on how these techniques are fruitfully deployed in...

Unique in its coverage of all aspects of modern particle physics, this textbook provides a clear connection between the theory and recent experimental results, including the discovery of the Higgs boson at CERN. It provides a comprehensive and self-contained description of the Standard Model of particle physics suitable for upper-level undergraduate students and graduate students studying experimental particle physics. Physical theory is introduced in a straightforward manner with full mathematical derivations throughout. Fully-worked examples enable students to link the mathematical theory...

The Crimean War (1853-1856) was the first modern war. A vicious struggle between imperial Russia and an alliance of the British, French and Ottoman Empires, it was the first conflict to be reported first-hand in newspapers, painted by official war artists, recorded by telegraph and photographed by camera. In her new short history Trudi Tate discusses the ways in which this novel representation itself became part of the modern 'war machine'. She tells forgotten stories about the war experience of individual soldiers and civilians, including journalists, nurses, doctors, war tourists and other...

Fluid dynamical forces drive most of the fundamental processes in the Universe and so play a crucial role in our understanding of astrophysics. This comprehensive textbook, first published in 2007, introduces the necessary fluid dynamics to understand a wide range of astronomical phenomena, from stellar structures to supernovae blast waves, to accretion discs. The authors' approach is to introduce and derive the fundamental equations, supplemented by text that conveys a more intuitive understanding of the subject, and to emphasise the observable phenomena that rely on fluid dynamical...