You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    Most text books have dealt with the subject from this traditional point of view. This book covers all these and many other new themes of contemporary importance.

    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

    It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

    When the level of spending was taken into account, we sank to the very bottom of the list. According to Jo Boaler, who was a professor of mathematics education at Stanford University for nine years, statistics like these are becoming all too common—we have reached the point of crisis, and a new course of action is crucial. In this straightforward and inspiring book, Boaler outlines the nature of the problem by following the progress of students in middle and high schools over a number of years, to find out which teaching methods are exciting students and getting results. Based on her research, she presents concrete solutions that will help reverse the trend, including classroom approaches, essential strategies for students, advice for parents on how to help children enjoy mathematics, and ways to work with teachers in schools.The United States is continuing to fall rapidly behind the rest of the developed world when it comes to math education, and the future of our economy depends on the quality of teaching that our children receive today. In What’s Math Got to Do with It?, Jo Boaler offers us a new way forward, making this book in dispensable for all parents and educators, as well as anyone interested in the mathematical and scientific future of our society.

    But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them.Hidden symmetries were first discovered nearly two hundred years ago by French mathematician �variste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination.The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.

    But this book will help you to do something that humans have only recently understood how to do: to count to regions that no animal has ever reached. By the end of this book you'll be able to count to infinity... and beyond. On our way to infinity we'll discover how the ancient Babylonians used their bodies to count to 60 (which gave us 60 minutes in the hour), how the number zero was only discovered in the 7th century by Indian mathematicians contemplating the void, why in China going into the red meant your numbers had gone negative and why numbers might be our best language for communicating with alien life.But for millennia, contemplating infinity has sent even the greatest minds into a spin. Then at the end of the nineteenth century mathematicians discovered a way to think about infinity that revealed that it is a number that we can count. Not only that. They found that there are an infinite number of infinities, some bigger than others. Just using the finite neurons in your brain and the finite pages in this book, you'll have your mind blown discovering the secret of how to count to infinity.Do something amazing and learn a new skill thanks to the Little Ways to Live a Big Life books!

    Oriented towards the needs of the student, the text retains such pedagogical features as Algebra Flashbacks, Notes to the Student, Points for Thought or Discussion, and an extensive array of problems and applications to support the learning process.

    Featuring Chief Inspector of Homicide Armand Gamache of the Sûreté du Québec, these extraordinary novels are here together for the first time in a fabulous ebook bundles. A Trick of the Light When Three Pines artist Clara Morrow's former friend is found dead in her garden, Chief Inspector Gamache finds the art world is one of shading and nuance, shadow and light. And even when facts are slowly exposed, it is no longer clear to Gamache and his team if what they've found is the truth, or simply a trick of the light. The Beautiful Mystery No outsiders are ever admitted to the monastery of Saint-Gilbert-Entre-les-Loups, where the monks have become world-famous for their glorious chants. But when the renowned choir director is murdered, the lock is drawn back to admit Chief Inspector Gamache. Before he can find the killer, the Chief must first consider the divine, the human, and the cracks in between. How the Light Gets In As Christmas approaches, Chief Inspector Gamache travels to Three Pines as a favor to the bookshop owner, whose friend has gone missing—a friend who was once one of the most famous people in the world. With mounting crises in his own homicide department, Gamache finds himself not only investigating a murder, but also seeking refuge for himself and his still-loyal colleagues—if such a refuge exists.

    A trip to the cinema turns into a nightmare for Anna and her little sister Jessica, when two men throw thirteen-year-old Jessica into the back of a van and speed away.The years tick by... Tick, tick... The police fail to find Jessica and her name fades from the public consciousness... Tick, tick... But every time Anna closes her eyes she’s back in that terrible moment, lurching towards Jessica, grabbing for her. So close. So agonizingly close.... Tick, tick... Now in her thirties, Anna has no career, no relationship, no children. She’s consumed by one purpose – finding Jessica, dead or alive.Detective Jim Monahan has a little black book with forty-two names in it. Jim’s determined to put every one of those names behind bars, but his investigation is going nowhere fast. Then a twenty-year-old clue brings Jim and Anna together in search of a shadowy figure known as Spider. Who is Spider? Where is Spider? Does Spider have the answers they want? The only thing Jim and Anna know is that the victims Spider entices into his web have a habit of ending up missing or dead.

    Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the humanist idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos.What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

    Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars.Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective. William D. Phillips, who won the Nobel Prize in physics in 1997, writes of the author, "Atalay is indeed a modern renaissance man, and he invites us to tap the power of synthesis that is Leonardo's model."

    But soon the sexy sheriff isn’t laughing. Someone—or something—is stalking the beautiful defense lawyer, turning her once-grand mansion into a house of horrors. The Betrayed One day on the job and contractor Zach Sargent is ready to believe the dilapidated old LeBeau mansion is haunted. Some intruder—earthly or not—is threatening the youngest LeBeau sister, back to claim her inheritance. And though Danae keeps her distance from the sexy hired hand, he falls for her in a heartbeat. The ReunionBodyguard to an heiress is Tyler Duhan’s idea of hell. The steely, sexy ex-marine has heard—and dismissed—the gossip about the haunted old LeBeau mansion and its “cursed” heiresses. Now headstrong Joelle has arrived to reunite with her long-lost sisters. And as much as he wants her, he needs to keep his distance—or suffer the fatal consequences.

    Five are connected to a series of old unsolved disappearances. But the sixth is fresh. What’s worse, two of the victims—including the most recent—were killed with Cork’s gun. As Cork searches for answers, he must dig into his own past and that of his father, a well-respected man who harbored a ghastly truth. Northwest Angle: Amid the wreckage of a violent storm, Cork O’Connor and his daughter Jenny discover a body. Nearby, a baby boy lies hungry and dehydrated but still very much alive. Powerful forces in pursuit of the child follow them to the isolated Northwest Angle, where it’s impossible to tell who is friend or foe. Trickster’s Point: Cork O’Connor sits deep in the wilderness with his good friend Jubal Little—favored to become Minnesota’s first Native American elected governor—who is slowly dying with an arrow through his heart. But this is no hunting accident. The arrow is one of Cork’s. As he works to clear his name and track the killer who set him up, only Cork knows that his complex, passionate, ambitious friend was also capable of murder.