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This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory. The book introduces many topics often left to the appendixes in standard calculus textbooks and develops their connections with physics, engineering, and statistics. The author uses applications of derivatives and integrals to show how calculus is applied in these disciplines. Solutions to all exercises (even those involving proofs) are available to instructors upon request, making this book unique among texts in the field. Focuses on single variable calculus Provides a balance of precision and intuition Offers both routine and demanding exercises

Calculus --- Accumulation point. --- Analytic function. --- Bisection, the method. --- Central limit theorem, Conditional convergence. --- Countably infinite. --- Darboux sums. --- Escape velocity. --- Extrema. --- Fluid resistance. --- Graph of a function. --- Heine-Borel lemma. --- Inertial force. --- Infinite series. --- Integrable. --- Lindelof principle. --- Linear approximation. --- Logarithm. --- Mean value theorem. --- Midpoint rule. --- Objective function. --- Observed fact. --- Osculating circle. --- Partial derivative. --- Partial fractions. --- Poisson flow. --- Ratio test. --- Reactor scram. --- Scientific method. --- Secant lines. --- Tangent lines. --- Uniformly continuous.

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Newton's laws of motion and his universal law of gravitation described mathematically the motion of two bodies undergoing mutual gravitational attraction. However, it is impossible to solve analytically the equation of motion for three gravitationally interacting bodies. This book discusses some techniques used to obtain numerical solutions of the equations of motion for planets and satellites, which are of fundamental importance to solar-system dynamicists and to those involved in planning the orbits of artificial satellites. The first part introduces the classical two-body problem and solves it by rigorously developing the six integrals of the motion, starting from Newton's three laws of motion and his law of gravitation and then using vector algebra to develop the integrals. The various forms of the solution flow naturally from the integrals. In the second part, several modern perturbation techniques are developed and applied to cases of practical importance. For example, the perturbed two-body problem for an oblate planet or for a nonsymmetric rotating planet is considered, as is the effect of drag on a satellite. The two-body problem is regularized, and the nonlinear differential equation is thereby transformed to a linear one by further embedding several of the integrals. Finally, a brief sketch of numerical methods is given, as the perturbation equations must be solved by numerical rather than by analytical methods.

Astrodynamics. --- Apollo program. --- Bate, R. --- Brahe, Tycho. --- Delaunay elements. --- Earth-Moon system. --- Greenwich Meridian. --- Hamiltonian Mechanics. --- Julian date. --- Kepler's equation. --- Kepler's laws. --- Kepler, Johannes. --- LVLH plane. --- Legendre polynomials. --- Lyapunov stability. --- Mathematica. --- abort problem. --- absolute origin. --- angular velocity, Earth. --- center of mass. --- column vector. --- computer arithmetic. --- conic section equation. --- conservative potential. --- contact acceleration. --- direct orbit. --- direction cosines. --- dissipative acceleration. --- dot product. --- embedding. --- entry interface. --- escape velocity. --- first-order system. --- fixed origin. --- fundamental plane. --- geocentric coordinate system. --- geopotential. --- harmonic oscillator. --- hyperbolic functions. --- hyperbolic motion. --- inertial frame. --- infinite series. --- integrable system. --- irregular planet. --- linearization. --- moments of inertia. --- near-circular orbit. --- nonhomogeneous mass. --- numerical solution. --- oblateness term. --- orthogonal system. --- perturbed system. --- perturbed two-body motion.

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The first systematic look at the different strategies that states employ in their pursuit of nuclear weaponsMuch of the work on nuclear proliferation has focused on why states pursue nuclear weapons. The question of how states pursue nuclear weapons has received little attention. 'Seeking the Bomb' is the first book to analyze this topic by examining which strategies of nuclear proliferation are available to aspirants, why aspirants select one strategy over another, and how this matters to international politics.

Nuclear nonproliferation. --- Nuclear arms control. --- Nuclear weapons control --- Arms control --- Nuclear weapons --- Export of nuclear materials --- Export of nuclear technology --- International control of nuclear energy --- Nonproliferation, Nuclear --- Nuclear energy --- Nuclear exports --- Nuclear proliferation --- Proliferation, Nuclear --- Nuclear arms control --- Nuclear-weapon-free zones --- International control --- Polemology --- Nuclear weapons. --- Atomic weapons --- Fusion weapons --- Thermonuclear weapons --- Weapons of mass destruction --- No first use (Nuclear strategy) --- Nuclear disarmament --- Nuclear warfare --- Government policy. --- Abdul Qadeer Khan. --- Agreed Framework. --- Airspace. --- Antenna (radio). --- Atal Bihari Vajpayee. --- Atomic Age. --- Axis of evil. --- Bait and bleed. --- Baruch Plan. --- Beijing. --- Bharat Karnad. --- Bulletin of the Atomic Scientists. --- Center for International Security and Cooperation. --- Cold War. --- Commissioner. --- Communist Party of China. --- Comprehensive Nuclear-Test-Ban Treaty. --- Disarmament. --- Doublethink. --- Escape velocity. --- Exothermic reaction. --- Experiment. --- Falklands War. --- Flexible response. --- German re-armament. --- Great Satan. --- Igor Kurchatov. --- Intention (criminal law). --- Interim. --- John Mearsheimer. --- Kinetic bombardment. --- Klaus Fuchs. --- Military dictatorship. --- Misinformation. --- Modernity. --- Molotov–Ribbentrop Pact. --- Munir Ahmad Khan. --- Nobility. --- North Korean defectors. --- Nuclear Tipping Point. --- Nuclear disarmament. --- Nuclear proliferation. --- Nuclear sharing. --- Nuclear strategy. --- Nuclear umbrella. --- Nuclear warfare. --- Nuclear weapon. --- Operation Barbarossa. --- Pakistan and weapons of mass destruction. --- Pakistanis. --- Paramount leader. --- Partial Nuclear Test Ban Treaty. --- Peaceful nuclear explosion. --- Plutonium. --- Post-Soviet states. --- Qasem Soleimani. --- Quebec Agreement. --- Ramp up. --- Reactor-grade plutonium. --- Ronen Sen. --- Saudis. --- Scott Sagan. --- Security assurance. --- Security studies. --- South Africa and weapons of mass destruction. --- Soviet Empire. --- Spark gap. --- Superiority (short story). --- Supply chain. --- Swedish nuclear weapons program. --- Tacit knowledge. --- Tactical nuclear weapon. --- Taepodong-2. --- The Indian Express. --- The Making of the Atomic Bomb. --- The Tragedy of Great Power Politics. --- Three Non-Nuclear Principles. --- Two-front war. --- NUCLEAR NONPROLIFERATION --- NUCLEAR WEAPONS --- NUCLEAR ARMS CONTROL AND DISARMAMENT