Natural cures "they" don't want you to know about

First peoples in a new world : colonizing ice age America

Remember us : my journey from the shtetl through the Holocaust

Debtors' prison : the politics of austerity versus possibility

Psych : the story of the human mind

Should wealth be redistributed? : a debate

Little debates about big questions

Little debates about big questions.

Bad news : why we fall for fake news

Bloomsbury sigma

Bloomsbury sigma series.

Fake news -- Bad news -- Breaking news -- Too much news -- Echo chambers -- Deepfakes -- Post-truth -- Setting the record straight.

A decent meal : building empathy in a divided America

Inside rehab : the surprising truth about addiction treatment : and how to get help that works

How not to be wrong : the power of mathematical thinking

When am I going to use this? ; Linearity. Less like Sweden ; Straight locally, curved globally ; Everyone is obese ; How much is that in dead Americans? ; More pie than plate -- Inference. The Baltimore stockbroker and the Bible Code ; Dead fish don't read minds ; Reductio ad unlikely ; The international journal of haruspicy ; Are you there, God? It's me, Bayesian inference -- Expectation. What to expect when you're expecting to win the lottery ; Miss more planes! ; Where the train tracks meet -- Regression. The triumph of mediocrity ; Galton's ellipse ; Does lung cancer make you smoke cigarettes? -- Existence. There is no such thing as public opinion ; "Out of nothing I have created a strange new universe" ; How to be right.

The coevolution : the entwined futures of humans and machines

Half a Brain: Remember to Breathe -- Massaging the Message -- Sneaky Gut Bacteria -- Worker Watches -- Mutating Watches -- Bad Boats -- Living Digital Beings -- Clearer Questions -- Doomsday Averted -- Pathetic -- The Meaning of "Life":The Technium -- Viruses and Worms -- Artificial Life -- Helpless Procreation -- The Durable and the Digital -- Autopoiesis -- Sprouting from Teenagers and Sparks -- Really Living -- From Orgies to Eating Natural Gas -- Homeostasis -- Metabolism - Growing -- Brains, Minds, and the Sky -- Connections -- Learning, Pain, and Pleasure -- Are Computers Useless? Flynn's IQ -- IQ Rising, Brains Shrinking -- Massaging the Message -- Islands of Disjoint Truths -- Cognitive Cockroaches -- Cautious Optimism -- Say What You Mean: Did I Say That? -- My Brain's Mouthpiece -- Freudian Slip -- Monkey Mind Control -- From GOFAI to Machine Learning -- Smiling Cats -- Learning and Feedback -- Perceptrons -- From Jellyfish to Dogs -- Feedback in Biology -- Negative Feedback: Talking to Myself -- Speaking Loudly All at the Same Time -- Feedback from Bell Labs -- Positive Feedback -- Cognitive Feedback -- Self and Non-Self -- Guns and Femurs -- Delayed Feedback -- Predictive Feedback -- Circular Reasoning -- Explaining the Inexplicable: Flesh and Blood -- Gorillas -- Death by Pneumonia -- Nonsensical Explanations -- The Wrong Stuff: Rats in Pain -- Am I a Computer? -- Body Matters -- Contemplation -- Making the Virtual Real -- I Forget -- Intelligence Augmentation -- Is My Hammer Out of My Mind? -- Embodied Robots -- Cognitive Feedback -- Am I Digital? -- Are We Alone? -- Teleportation - Information -- A Thread of Life -- Dataism -- A Universal Machine? -- Borel's Amazing Know-It-All Number -- Too Much Information -- Noiseless Measurements -- Is Time Discrete? -- Imperfect Communication -- Ah, to Be Digital! - Intelligences: The Wrong Stuff (Again) -- Humanoid Robots and Creeps -- Tone-Deaf AIs -- Transhumanism and the Singularity -- Goals, Adaptability, and a Miswired Thermostat -- What Do You Know? -- The Hard Problem -- Can You Learn If You Can't Know? - Accountability: Who Is the Artist? -- Crashes and Viruses -- A Tale of Tangled Accountability - Volition -- Imagining Alternatives -- When, Whether, Why, and How -- Vulgarity and Racism -- Machine Creativity -- The Origin of Self -- Hunekers and Mosquitos -- Annoying Balls -- A Worm's Sense of Self -- Is Incompetence Necessary? -- Social Contract - Causes: Autonomy -- A Harmless Fiction? -- Subjective Machines -- Does Ugliness Cause Talent? -- Subjective Causality -- Confounders and Colliders -- Hypothetical Intervention: Counterfactuals -- Actual Intervention -- Randomized Controlled Trials -- Uncaused Action -- Metastable States -- Determinism -- Force -- Choice -- Determinism and Interaction.

The calculus lifesaver : all the tools you need to excel at calculus

A Princeton lifesaver study guide

Princeton lifesaver study guide.

How to solve differentiation problems -- Finding derivatives using the definition -- Finding derivatives (the nice way) -- Constant multiples of functions -- Sums and differences of functions -- Products of functions via the product rule -- Quotients of functions via the quotient rule -- Composition of functions via the chain rule -- A nasty example -- Justification of the product rule and the chain rule -- Finding the equation of a tangent line -- Velocity and acceleration -- Constant negative acceleration -- Limits which are derivatives in disguise -- Derivatives of piecewise-defined functions -- Sketching derivative graphs directly -- Trig limits and derivatives -- Limits involving trig functions -- The small case -- Solving problems, the small case -- The large case -- The "other" case -- Proof of an important limit -- Derivatives involving trig functions -- Examples of differentiating trig functions -- Simple harmonic motion -- A curious function.

L'Hôpital's rule and overview of limits -- L'Hôpital's rule -- Type A : 0/0 case -- Type A : ±[infinity]/±[infinity] case -- Type B1 ([infinity] - [infinity]) -- Type B2 (0 x ± [infinity]) -- Type C (1 ± [infinity], 0⁰, or [infinity]⁰) -- Summary of l'Hôpital's rule types -- Overview of limits -- Introduction to integration -- Sigma notation -- A nice sum -- Telescoping series -- Displacement and area -- Three simple cases -- A more general journey -- Signed area -- Continuous velocity -- Two special approximations -- Definite integrals -- The basic idea -- Some easy example -- Definition of the definite integral -- An example of using the definition -- Properties of definite integrals -- Finding areas -- Finding the unsigned area -- Finding the area between two curves -- Finding the area between a curve and the y-axis -- Estimating integrals -- A simple type of estimation -- Averages and the mean value theorem for integrals -- The mean value theorem for integrals -- A nonintegrable function.

The fundamental theorems of calculus -- Functions based on integrals of other functions -- The first fundamental theorem -- Introduction to antiderivatives -- The second fundamental theorem -- Indefinite integrals -- How to solve problems : the first fundamental theorem -- Variation 1 : variable left-hand limit on integration -- Variation 2 : one tricky limit of integration -- Variation 3 : two tricky limits of integration -- Variation 4 : limit is a derivative in disguise -- How to solve problems : the second fundamental theorem -- Finding indefinite integrals -- Finding definite integrals -- Unsigned areas and absolute values -- A technical point -- Proof of the first fundamental theorem -- Techniques of integration, part one -- Substitution -- Substitution and definite integrals -- How to decide what to substitute -- Theoretical justification of the substitution method -- Integration by parts -- Some variations -- Partial fractions -- The algebra of partial fractions -- Integrating the pieces -- The method and a big example.

Welcome -- How to use this book to study for an exam -- Two all-purpose study tips -- Key sections for exam review (by topic) -- Acknowledgments -- Functions, graphs, and lines -- Functions -- Interval notation -- Finding the domain -- Finding the range using the graph -- The vertical line test -- Inverse functions -- The horizontal line test -- Finding the inverse -- Restricting the domain -- Inverses of inverse functions -- Composition of functions -- Odd and even functions -- Graphs of linear functions -- Common functions and graphs -- Review of trigonometry -- The basics -- Extending the domain of trig functions -- The ASTC method -- Trig functions outside [0,2[pi]] -- The graphs of trig functions -- Trig identities -- Introduction to limits -- Limits : the basic idea -- Left-hand and right-hand limits -- When the limit does not exist -- Limits at [infinity] and -[infinity] -- Large number and small numbers -- Two common misconceptions about asymptotes -- The sandwich principle -- Summary of basic types of limits.

How to solve limit problems involving polynomials -- Limits involving rational functions as x -> a[alpha] -- Limits involving square roots as x -> a[alpha] -- Limits involving rational functions as x -> [infinity] -- Method and examples -- Limits involving poly-type functions as x -> [infinity] -- Limits involving rational functions as x -> -[infinity] -- Limits involving absolute values -- Continuity and differentiability -- Continuity -- Continuity at a point -- Continuity on an interval -- Examples of continuous functions -- The intermediate value theorem -- A harder IVT example -- Maxima and minima of continuous functions -- Differentiability -- Average speed -- Displacement and velocity -- Instantaneous velocity -- The graphical interpretation of velocity -- Tangent lines -- The derivative function -- The derivative as a limiting ration -- The derivative of linear functions -- Second and higher-order derivatives -- When the derivative does not exist -- Differentiability and continuity.

Implicit differentiation and related rates -- Implicit differentiation -- Techniques and examples -- Finding the second derivative implicitly -- Related rates -- A simple example -- A slightly harder example -- A much harder example -- A really hard example -- Exponentials and logarithms -- The basics -- Review of exponentials -- Review of logarithms -- Logarithms, exponentials, and inverses -- Log rules -- Definition of e -- A question about compound interest -- The answer to our question -- More about e and logs -- Differentiation of logs and exponentials -- Examples of differentiating exponentials and logs -- How to solve limit problems involving exponentials or logs -- Limits involving the definition of e -- Behavior of exponentials near 0 -- Behavior of logarithms near 1 -- Behavior of exponentials near [infinity] or -[infinity] -- Behavior of logs near [infinity] -- Behavior of logs near 0 -- Logarithmic differentiation -- The derivative of xa -- Exponential growth and decay -- Exponential growth -- Exponential decay -- Hyperbolic functions.

Inverse functions and inverse trig functions -- The derivative and inverse functions -- Using the derivative to show that an inverse exists -- Derivatives and inverse functions : what can go wrong -- Finding the derivative of an inverse function -- A big example -- Inverse trig functions -- Inverse sine -- Inverse cosine -- Inverse tangent -- Inverse secant -- Inverse cosecant and inverse cotangent -- Computing inverse trig functions -- Inverse hyperbolic functions -- The rest of the inverse hyperbolic functions -- The derivative and graphs -- Extrema of functions -- Global and local extrema -- The extreme value theorem -- How to find global maxima and minima -- Rolle's Theorem -- The mean value theorem -- Consequence of the man value theorem -- The second derivative and graphs -- More about points of inflection -- Classifying points where the derivative vanishes -- Using the first derivative -- Using the second derivative.

Sketching graphs -- How to construct a table of signs -- Making a table of signs for the derivative -- Making a table of signs for the second derivative -- The big method -- Examples -- An example without using derivatives -- The full method : example 1 -- The full method : example 2 -- The full method : example 3 -- The full method : example 4 -- Optimization and linearization -- Optimization -- An easy optimization example -- Optimization problems : the general method -- An optimization example -- Another optimization example -- Using implicit differentiation in optimization -- A difficult optimization example -- Linearization -- Linearization in general -- The differential -- Linearization summary and example -- The error in our approximation -- Newton's method.

Techniques of integration, part two -- Integrals involving trig identities -- Integrals involving powers of trig functions -- Powers of sin and/or cos -- Powers of tan -- Powers of sec -- Powers of cot -- Powers of csc -- Reduction formulas -- Integrals involving trig substitutions -- Type 1 : [square root] a² - x² -- Type 2 : [square root] x² + a² -- Type 3 : [square root] x² - a² -- Completing the square and trig substitutions -- Summary of trig substitutions -- Technicalities of square roots and trig substitutions -- Overview of techniques of integration -- Improper integrals : basic concepts -- Convergence and divergence -- Some examples of improper integrals -- Other blow-up points -- Integrals over unbounded regions -- The comparison test (theory) -- The limit comparison test (theory) -- Functions asymptotic to each other -- The statement of the test -- The p-test (theory) -- The absolute convergence test.

Improper integrals : how to solve problems -- How to get started -- Splitting up the integral -- How to deal with negative function values -- Summary of integral tests -- Behavior of common functions near [infinity] and -[infinity] -- Polynomials and poly-type functions near [infinity] and -[infinity] -- Trig function near [infinity] and -[infinity] -- Exponentials near [infinity] and -[infinity] -- Logarithms near [infinity] -- Behavior of common functions near 0 -- Polynomials and poly-type functions near 0 -- Trig functions near 0 -- Exponentials near 0 -- Logarithms near 0 -- The behavior of more general functions near 0 -- How to deal with problem spots not at 0 or [infinity] -- Sequences and series : basic concepts -- Convergence and divergence of sequences -- The connection between sequences and functions -- Two important sequences -- Convergence and divergence of series -- Geometric series (theory) -- The nth term test (theory) -- Properties of both infinite series and improper integrals -- The comparison test (theory) -- The limit comparison test (theory) -- The p-test (theory) -- absolute convergence test -- New tests for series -- The ratio test (theory) -- The root test (theory) -- The integral test (theory) -- The alternating series test (theory).

How to solve series problems -- How to evaluate geometric series -- How to use the nth term test -- How to use the ratio test -- How to use the root test -- How to use the integral test -- Comparison test, limit comparison test, and p-test -- How to deal with series with negative terms -- Taylor polynomials, Taylor series, and power series -- Approximations and Taylor polynomials -- Linearization revisited -- Quadratic approximations -- Higher-degree approximations -- Taylor's theorem -- Power series and Taylor series -- Power series in general -- Taylor series and Maclaurin series -- Convergence of Taylor series -- A useful limit -- How to solve estimation problems -- Summary of Taylor polynomials and series -- Finding Taylor polynomials and series -- Estimation problems using the error term -- First example -- Second example -- Third example -- Fourth example -- Fifth example -- General techniques for estimating the error term -- Another technique for estimating the error.

Taylor and power series : how to solve problems -- Convergence of power series -- Radius of convergence -- How to find the radius and region of convergence -- Getting new Taylor series from old ones -- Substitution and Taylor series -- Differentiating Taylor series -- Integrating Taylor series -- Adding and subtracting Taylor series -- Multiplying Taylor series -- Dividing Taylor series -- Using power and Taylor series to find derivatives -- Using Maclaurin series to find limits -- Parametric equations and polar coordinates -- Parametric equations -- Derivatives of parametric equations -- Polar coordinates -- Converting to and from polar coordinates -- Sketching curves in polar coordinates -- Find tangents to polar curves -- Finding areas enclosed by polar curves -- Complex numbers -- The basics -- Complex exponentials -- The complex plane -- Converting to and from polar form -- Taking large powers of complex numbers -- Solving zn = w -- Some variations -- Solving ez = w -- Some trigonometric series -- Euler's identity and power series.

Volumes, arc lengths, and surface areas -- Volumes of solids of revolution -- The disc method -- The shell method -- Summary ... and variations -- Variation 1 : regions between a curve and the y-axis -- Variation 2 : regions between two curves -- Variation 3 : axes parallel to the coordinate axes -- Volumes of general solids -- Arc lengths -- Parametrization and speed -- Surface areas of solids of revolution -- Differential equations -- Introduction to differential equations -- Separable first-order differential equations -- First-order linear equations -- Why the integrating factor works -- Constant-coefficient differential equations -- Solving first-order homogeneous equations -- Solving second-order homogeneous equations -- Why the characteristic quadratic method works -- Nonhomogeneous equations and particular solutions -- Funding a particular solution -- Examples of finding particular solutions -- Resolving conflicts between yP and yH -- Initial value problems (constant-coefficient linear) -- Modeling using differential equations.

Appendix A : Limits and proofs -- Formal definition of a limit -- A little game -- The actual definition -- Examples of using the definition -- Making new limits from old ones -- Sums and differences of limits, proofs -- Products of limits, proof -- Quotients of limits, proof -- The sandwich principle, proof -- Other varieties of limits -- Infinite limits -- Left-hand and right-hand limits -- Limits at [infinity] and -[infinity] -- Two examples involving trig -- Continuity and limits -- Composition of continuous functions -- Proof of the intermediate value theorem -- Proof of the max-min theorem -- Exponentials and logarithms revisited -- Differentiation and limits -- Constant multiples of functions -- Sums and differences of functions -- Proof of the product rule -- Proof of the quotient rule -- Proof of the chain rule -- Proof of the extreme value theorem -- Proof of Rolle's theorem -- Proof of the mean value theorem -- The error in linearization -- Derivatives of piecewise-defined functions -- Proof of l'Hôspital's rule -- Proof of the Taylor approximation theorem -- Appendix B : Estimating integrals -- Estimating integrals using strips -- Evenly spaced partitions -- The trapezoidal rule -- Simpson's rule -- Proof of Simpson's rule -- The error in our approximations -- Examples of estimating the error -- Proof of an error term inequality -- List of symbols -- Index.