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Cosmology seeks to characterise our Universe in terms of models based on well-understood and tested physics. Today we know our Universe with a precision that once would have been unthinkable. This book develops the entire mathematical, physical and statistical framework within which this has been achieved. It tells the story of how we arrive at our profound conclusions, starting from the early twentieth century and following developments up to the latest data analysis of big astronomical datasets. It provides an enlightening description of the mathematical, physical and statistical basis for understanding and interpreting the results of key space- and ground-based data. Subjects covered include general relativity, cosmological models, the inhomogeneous Universe, physics of the cosmic background radiation, and methods and results of data analysis. Extensive online supplementary notes, exercises, teaching materials, and exercises in Python make this the perfect companion for researchers, teachers and students in physics, mathematics, and astrophysics. </text>
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                <text>Al tijdens onze eerste schooljaren komen we in aanraking met ­priemgetallen. Ondanks de mythe zijn ze in feite niet zo ­complex als ze lijken. Om te kunnen begrijpen wat priemgetallen zijn, ­hoeven we alleen maar een getallensysteem te kennen en de vier ­rekenkundige basisbewerkingen uit te kunnen voeren. Toch vormen ­priemgetallen een van de boeiendste uitdagingen in de geschiedenis van de ­wetenschap. Wie geïnteresseerd is in de wiskunde, komt ze ­ongetwijfeld tegen en raakt erdoor gefascineerd.&lt;br /&gt;
De invloed van priemgetallen is niet alleen binnen de wiskunde merkbaar. Ongemerkt hebben priemgetallen op allerlei domeinen van ons dagelijks leven een plekje veroverd. Zo worden ze bijvoorbeeld ­ingezet bij de bescherming van computers, bankoverschrijvingen en het veilig kunnen bellen met een mobiele telefoon – ze zijn van ­wezenlijk belang voor onder andere computerbeveiliging.&lt;br /&gt;</text>
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                <text>De eenentwintigste eeuw is nog jong, maar heeft al een indrukwekkende lijst aan wiskundige doorbraken opgeleverd. De wiskundige Terence Tao bewees onder meer een stelling over de lengte van priemwoestijnen: opeenvolgende getallen zonder priemen ertussen. Daarmee beantwoordde hij een vraag van Paul Erdös, de legendarische wiskundige zonder vaste woonplaats, rondreizend met al zijn bezittingen in één koffer, samenwerkend met honderden collega's. Priemwoestijnen gaat over zeventien hoogtepunten uit de eenentwintigste-eeuwse wiskunde. Eén uit elk jaar, van 2001 tot en met 2017. Over priemwoestijnen, maar ook over priemtweelingen en rekenkundige priemrijen. Verder onder meer grensverleggend onderzoek in de speltheorie, het beruchte abc-vermoeden en het Poincaré-vermoeden, waarover wiskundigen zich honderd jaar het hoofd hadden gebroken, totdat de Rus Grigori Perelman het pad naar de oplossing blootlegde.&lt;br /&gt;&lt;br /&gt;
Alex van den Brandhof plaatst de grote ideeën van de wiskunde in hun historische context, schetst de spannende zoektocht naar oplossingen en brengt daarmee de wiskunde ook voor niet-wiskundigen tot leven.</text>
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                <text>The definitive story of the Riemann Hypothesis, a fascinating and epic mathematical mystery that continues to challenge the world.&lt;br /&gt;&lt;br /&gt;
In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled  “On the Number of Prime Numbers Less Than a Given Quantity.”  Today, after 150 years of careful research and exhaustive study, the Riemann Hypotheses remains unsolved, with a one-million-dollar prize earmarked for the first person to conquer it.&lt;br /&gt;
Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.</text>
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