Students know that Schaum's delivers the goods—in faster learning curves,better test scores,and higher grades!If you don't have a lot of time but want to excel in class,this book helps you: Brush up before tests; Find answers fast; Study quickly and more effectively; Get the big picture without spending hours poring over dull texts Schaum's Outlines give you the information teachers expect you to know in a handy and succinct format—without overwhelming you with unnecessary details. You get a complete overview of the subject—and no distracting minutiae. Plus,you get plenty of practice exercises to test your skill. Compatible with any classroom text,Schaum's lets you study at your own pace and reminds you of all the important facts you need to remember—fast! And Schaum's is so complete it's the perfect tool for preparing for graduate or professional exams! Students of mathematical economics apply complex formulas—a challenging task that even the best students find daunting. But this Schaum's guide demystifies tough problems and gives you plenty of fully worked examples! Chapters include: Review. Economic Applications of Graphs and Equations. The Derivative and the Rules of Differentiation. Uses of the Derivative in Mathematics and Economics. Calculus of Multivariable Functions. Calculus of Multivariable Functions in Economics. Exponential and LogarithmicFunctions. Exponential and Logarithmic Functions in Economics. Differentiation of Exponential and Logarithmic Functions. The Fundamentals of Linear (or Matrix) Algebra. Matrix Inversion. Special Determinants and Matrices and Their Use in Economics. Linear Programming: A Graphic Approach. Linear Programming: The Simplex Algorithm. Linear Programming: The Dual. Integral Calculus: The Indefinite Integral. Integral Calculus: The Definite Integral. Differential Equations. Difference Equations. Second-Order Differential Equations and Difference Equations. The Calculus of Variations

    Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.

    But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages.Paul Lockhart reveals arithmetic not as the rote manipulation of numbers--a practical if mundane branch of knowledge best suited for balancing a checkbook or filling out tax forms--but as a set of ideas that exhibit the fascinating and sometimes surprising behaviors usually reserved for higher branches of mathematics. The essence of arithmetic is the skillful arrangement of numerical information for ease of communication and comparison, an elegant intellectual craft that arises from our desire to count, add to, take away from, divide up, and multiply quantities of important things. Over centuries, humans devised a variety of strategies for representing and using numerical information, from beads and tally marks to adding machines and computers. Lockhart explores the philosophical and aesthetic nature of counting and of different number systems, both Western and non-Western, weighing the pluses and minuses of each.A passionate, entertaining survey of foundational ideas and methods, Arithmetic invites readers to experience the profound and simple beauty of its subject through the eyes of a modern research mathematician.

    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

    In "Musimathics," Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music -- a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio.Additional material can be found at http: //www.musimathics.com.

    Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

    The attacks have come not only from traditional conservatives but increasingly from the postmodern left. In this essay, Stephen Hicks presents and dissects the philosophical arguments made by the postmoderns for speech restrictions and responds with a vigorous and updated liberal case for free speech.

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    In simple rhymes, Tang explains the fundamentals of how each number from 1 to 10 works. His poem "Four Eyes," for example, explains how any number multiplied by four can be merely doubled twice: "Four is very fast to do, when you multiply by 2. Here's a little good advice -- please just always double twice!" He then goes on to explain: "What is 4x4? It's 4 doubled twice. Double once: 4+4=8. Double twice: 8+8=16," and he even provides extra challenge questions below. All of his poems and problems are just as easy (e.g., a number times 6 is tripled, then doubled; a number times 9 is multiplied by 10, then subtracted once), and the book is rounded out with full practice tables in the back.Tang provides children with an excellent lesson, helping them make sense of daunting math without a bombardment of complicated rules. Kids will cheer his winsome presentation, which is wonderfully complemented by Harry Brigg's computer illustrations of animals cavorting around and having fun. Both practical and pleasing, The Best of Times is math that'll help make homework and tests a breeze. Matt Warner

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    The MOST IMPORTANT, INFORMATIVE AND EXPLOSIVE BOOK EVER WRITTEN ABOUT THE ANUNNAKI, THEIR WORLD, THEIR RETURN TO EARTH, AND PLAN FOR HUMANITY in:• 2,034 A.D. • 2,031-2,033 A.D. • 2,029 A.D. • 2,028 A.D. • 2,027-2,026 A.D. • 2,026 A.D. • 2,025 A.D. • 2,024 A.D. • 2,022-2023 A.D. • The author, Maximillien de Lafayette, have been so fortunate as to study with the Anunnaki Ulema who are the guardians of this knowledge in Egypt, Iraq, the islands of Arwad and Cyprus. This is the first time he is making use of this depot of knowledge about the Return of the Anunnaki to Planet Earth, and we are very lucky to have access to it. The subjects introduced in this book are explosive. Most important is the fact that it reveals the potential return of the Anunnaki in 2022, and the most frightening transformation that it would bring to the earth. If this is going to happen, a huge number of the people on earth, those grossly contaminated by Grays’ DNA, will be annihilated. You know who they are – the child murderers, the rapists, those who torture, those who abuse, the vicious politicians, the slaves of money and power, etc. Yes, we all know who they are. But the Anunnaki, who have no false sentimentality at all, will not tolerate even a medium level contamination. Unless they do their best to clean themselves during the grace period of the next 9 years, those of mid level contamination will also be destroyed. Those who would manage to clean themselves to a certain degree may possibly (but without any guarantee) be able to escape the burning, smoking earth through special portals, called Ba’abs. For those of us interested in the use of esoteric codes, they are here for you to learn. Each term will teach you how to use it for your benefit, how to apply it not only to your spiritual growth, but to your business, relationships, and daily life. You will learn how to interpret the codes in many ancient languages, how to build a physical amulet/code that will protect certain aspects of your life, and how to develop your psychic and extrasensory powers by simply using these codes. You will learn how the Anunnaki, our original creators, and how God fit into all this. Religion, true and false, will be explored. Jesus, who never really died on the Cross, will be shown as a historical figure, with his wife, Mary Magdalene, with whom he escaped to ancient Marseille. Who were Adam and Eve? Who was the Serpent? How do the gods of Sumer signify to us? The book is arranged in the time-honoured tradition of questions and answers.The return of the Anunnaki is not a new idea. It has been already announced in sacred scriptures, but of course interpreted differently. Some said Jesus is an Anunnaki, and he will return as a cosmic Messiah. A new school of religious thought in Iran suggests that Mohammed will return as a celestial being. And we should not to forget the Rapture and the Gnostics as well. But all of them have their origin in the Anunnaki texts, because these texts were written thousands of years before the Old Testament, the New Testament, and the Quran. The book will explore this topic and includes:• What Is Going To Happen To Organized Religions?• How Will The Human Mind Benefit From The Anunnaki Connection?.• What Will Happen To The Teachings Of Jesus, Moses, Mohammed, And Buddha, If The Anunnaki Demolish All Religions And Our Religious Beliefs Systems?• What Will Happen To The Vast Number

    

    But now, with the aid of high-speed computers, scientists have been able to penetrate a reality that is changing the way we perceive the universe. Their findings -- the basis for chaos theory -- represent one of the most exciting scientific pursuits of our time.No better introduction to this find could be found than John Briggs and F. David Peat's Turbulent Mirror. Together, they explore the many faces of chaos and reveal how its law direct most of the processes of everyday life and how it appears that everything in the universe is interconnected -- discovering an "emerging science of wholeness."Turbulent Mirror introduces us to the scientists involved in study this endlessly strange field; to the theories that are turning our perception of the world on its head; and to the discoveries in mathematics, biology, and physics that are heralding a revolution more profound than the one responsible for producing the atomic bomb. With practical applications ranging from the control of traffic flow and the development of artifical intelligence to the treatment of heart attacks and schizophrenia, chaos promises to be an increasingly rewarding area of inquiry -- of interest to everyone.

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.