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Number theory --- 511 --- Number theory. --- 511 Number theory --- Theorie des nombres --- Theorie multiplicative

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Number theory. --- Numbers, Prime.

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Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. This 2006 text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises.

Numbers, Prime. --- Number theory. --- Number study --- Numbers, Theory of --- Algebra --- Prime numbers --- Numbers, Natural

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This book is concerned with the Riemann Zeta Function, its generalizations, and various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis and Probability Theory. Eminent experts in the field illustrate both old and new results towards the solution of long-standing problems and include key historical remarks. Offering a unified, self-contained treatment of broad and deep areas of research, this book will be an excellent tool for researchers and graduate students working in Mathematics, Mathematical Physics, Engineering and Cryptography.

Number theory --- Algebraic geometry --- Differential geometry. Global analysis --- Geometry --- Functional analysis --- Harmonic analysis. Fourier analysis --- Ergodic theory. Information theory --- Differential equations --- Mathematical analysis --- Mathematics --- landmeetkunde --- analyse (wiskunde) --- complexe veranderlijken --- differentiaal geometrie --- Fourierreeksen --- mathematische modellen --- wiskunde --- getallenleer --- geometrie --- informatietheorie

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Safe and effective prescribing is one of the pillars of medical practice but is much more complicated than it seems. Many new prescribers find prescribing extremely challenging, and a plethora of independent, multidisciplinary prescribers are also seeking guidance. However, pharmacology textbooks are rarely practical. They warn to 'take care when prescribing erythromycin to a patient on warfarin, as the INR may rise'. But what should the prescriber actually do? Surviving Prescribing fulfils an important need by offering practical advice for real-world prescribing problems. The book complements existing educational resources but adds a new perspective. Written by experienced contributors from a variety of professional backgrounds, the content speaks directly to the problems routinely seen in hospital prescribing. And all in one, pocket-sized volume. Whether revising for the national Prescribing Safety Assessment, preparing for starting on the wards, or looking for a quick reference guide, this book is an essential companion.

Drugs --- Prescribing