Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.

    As we dream with him, we are taken further and further into mathematical theory, where ideas eventually take flight, until everyone--from those who fumble over fractions to those who solve complex equations in their heads--winds up marveling at what numbers can do.Hans Magnus Enzensberger is a true polymath, the kind of superb intellectual who loves thinking and marshals all of his charm and wit to share his passions with the world. In The Number Devil, he brings together the surreal logic of Alice in Wonderland and the existential geometry of Flatland with the kind of math everyone would love, if only they had a number devil to teach them.

     In this book, his priority is to help kids who don’t have the advantage of going to his school, Capital Prep.  He wants to save your kid, and the kid next door, and the kid down the street from getting a typical third-rate American education.  If you’re a parent who has worried recently about how depressed your child seems when he dresses for school in the morning…or how little of what happens during the school day seems to sink into her brain… or how much of your child’s homework is busywork, you need this book.   If you’re a teacher who is putting your heart and soul into the job but are surrounded by colleagues who are “phoning it in,” you need this book.  If you’re a committed, forward-thinking principal who wants to get rid of the faculty bad apples, but are continually stymied by Mafia-style teachers-unions, you need this book. *If you’re a citizen who worries about the $1 trillion-plus GDP loss that America suffers every year because our system of education doesn’t measure up, you need this book. In this solution-oriented manifesto, Steve Perry covers the full range of issues holding back today’s students.  He shows parents how to find great teachers (and get rid of the bad ones)…how to make readers out of kids who hate to read…how to make the school curriculum thrilling rather than sleep-inducing…how to conduct an all-important education “home audit”… how to “e-organize” if school boards and administrators aren’t getting the message…how to build a “school of the future,” and much more. The era of third-rate education is over.  Steve Perry isn’t going to let the fools and scoundrels get away with it any longer.  Push has come to shove!

    The Calm Birth School teaches and supports modern women (and their families) how to create calm and positive birth experiences that make them want to shout from the rooftops for all the right reasons. This comprehensive how-to guide will teach you all you need to know about hypnobirthing without morphing you into a new-age hipster. You’ll learn: The science and psychology behind why you don’t have to give birth in agony. How to work with your body and breath, defying the birthing horror stories you’ve heard and allowing your body to do what it was designed to do. A total mindset overhaul that will not only create a calm, positive birth but which will also empower you in every area of your life.Breathing techniques to enable you to deal with any stressful situation calmly and effectively: before and during birth, and beyond.Exactly what you need to do to enjoy every step of your pregnancy and birth, whether things go according to plan or not.So if you are a control freak; if you’re scared out of your mind about giving birth; if you believe in your body but do not want to waft a joss stick around your lady parts… This book is for you. With lots of juicy bonuses like birth preferences planners, a confidence building Mp3, practice schedule and lots more included you'll have everything you need to create the positive birth experience you deserve. Suzy Ashworth is a pregnancy coach, hypnotherapist and psychotherapist with two children and a growing bump. She has a passion for showing women exactly why they can and should believe in themselves, empowering them to create mind-blowing birth experiences.

    Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

     Born a boy but raised a girl, Joe was 25 years old and still living as Joella when he discovered the full truth about his beginnings. For decades, doctors believed baby boys born without a penis should be classified as girls. When he was eight, Joe's plight attracted worldwide media attention – and touched the heart of Princess Diana. She's A Boy is Joe's story; a true survivor who has overcome unthinkable physical and emotional challenges and come out the other side with a firm sense of who he really is.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    But for those of us who left math behind in high school, the numbers and figures hurled at us as we go about our days can sometimes leave us scratching our heads and feeling as if we’re fumbling through a mathematical minefield. In this eye-opening and extraordinarily accessible book, mathemati­cian Kit Yates illuminates hidden principles that can help us understand and navigate the chaotic and often opaque surfaces of our world. In The Math of Life and Death, Yates takes us on a fascinating tour of everyday situations and grand-scale applications of mathematical concepts, including exponential growth and decay, optimization, statistics and probability, and number systems. Along the way he reveals the mathematical undersides of controversies over DNA testing, medical screening results, and historical events such as the Chernobyl disaster and the Amanda Knox trial. Readers will finish this book with an enlightened perspective on the news, the law, medicine, and history, and will be better equipped to make personal decisions and solve problems with math in mind, whether it’s choosing the shortest checkout line at the grocery store or halting the spread of a deadly disease.

    Covering various the materials needed by students in engineering, science, and mathematics, this calculus text makes effective use of computing technology, graphics, and applications. It presents at least two technology projects in each chapter.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Too often, however, the mathematics instruction that we impose upon them in the classroom fails to connect with this informal knowledge. Children's Mathematics was written to help you understand children's intuitive mathematical thinking and use that knowledge to help children learn mathematics with understanding. Based on more than twenty years of research, this book portrays the development of children's understanding of basic number concepts. The authors offer a detailed explanation and numerous examples of the problem-solving and computational processes that virtually all children use as their numerical thinking develops. They also describe how classrooms can be organized to foster that development. Two accompanying CDs provide a remarkable inside look at students and teachers in real classrooms implementing the teaching and learning strategies described in the text. Together, the book and CDs provide you with the foundation necessary to engage children in discussions of how they think through problems-providing suggestions for what problems to give and insight into what responses to expect, and how children's thinking will evolve.

    He was especially careful to present new and unfamiliar puzzles that had not been included in such classic collections as those by Sam Loyd and Henry Dudeney. Later, these puzzles were published in book collections, incorporating reader feedback on alternate solutions or interesting generalizations.The present volume contains a rich selection of 70 of the best of these brain teasers, in some cases including references to new developments related to the puzzle. Now enthusiasts can challenge their solving skills and rattle their egos with such stimulating mind-benders as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, The Fork in the Road, Bronx vs. Brooklyn, Touching Cigarettes, and 64 other problems involving logic and basic math. Solutions are included.

    To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

    Devlin offers a breathtakingly new theory of language development that describes how language evolved in two stages and how its main purpose was not communication. Devlin goes on to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the very first emergence of true language. Why, then, can't we do math as well as we speak? The answer, says Devlin, is that we can and do -- we just don't recognize when we're using mathematical reasoning.