Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    The content of this book has been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs, but more importantly intuitive explanations developed and refine through classroom experience with this material are provided. The book includes a self-contained treatment of the probability theory needed for shastic calculus, including Brownian motion and its properties. Advanced topics include foreign exchange models, forward measures, and jump-diffusion processes.This book is being published in two volumes. This second volume develops shastic calculus, martingales, risk-neutral pricing, exotic options and term structure models, all in continuous time.Masters level students and researchers in mathematical finance and financial engineering will find this book useful.Steven E. Shreve is Co-Founder of the Carnegie Mellon MS Program in Computational Finance and winner of the Carnegie Mellon Doherty Prize for sustained contributions to education.

    *Includes Day's quotes about her life and career. *Includes a bibliography for further reading. *Includes a table of contents. “I’ve been through everything. I always said I was like those round-bottomed circus dolls — you know, those dolls you could push down and they’d come back up? I’ve always been like that. I’ve always said, ‘No matter what happens, if I get pushed down, I’m going to come right back up.’” – Doris Day A lot of ink has been spilled covering the lives of history’s most influential figures, but how much of the forest is lost for the trees? In Charles River Editors’ American Legends series, readers can get caught up to speed on the lives of America’s most important men and women in the time it takes to finish a commute, while learning interesting facts long forgotten or never known. It goes without saying that few people have a career spanning 8 decades, yet that claim to fame is occupied by the legendary Doris Day, who got her start in show business as a singer in a big band in 1939 and has not let up since. From there, Day went on to record dozens of albums and hundreds of songs, winning a countless number of awards on the way to being one of the 20th century’s most popular singers. One of those recognitions came just a few years ago in 2011, when Day, by that time nearing 90 years old, released a new album that charted 9th in the UK Top 40 Albums, making her the oldest singer ever with that distinction. Her musical career would’ve been impressive enough, but Doris Day is just as well known today for her film career, which wasn’t so bad itself. Though her time in Hollywood was much shorter in comparison to her music career, she nevertheless managed to reach the top in that industry as well. As one of the most popular actresses of the ‘60s, Day was the biggest box office draw in Hollywood in the early half of that decade, and the only woman among the Top 10. In the process of making nearly 40 movies, Day would eventually be recognized as the highest grossing actress in history, and at the same time she was good enough at her craft to be nominated for an Oscar for Best Actress. Amazingly, despite her incredible success in both music and film, Day eventually found herself bankrupt due to the mismanagement of her money by her husband, compelling her to reinvent herself as the host of a popular television sitcom. Perhaps not surprisingly, Day excelled in this field as well, making The Doris Day Show one of the most popular shows on television for several years at the end of the ‘60s. American Legends: The Life of Doris Day examines the life and career of one of the entertainment industry’s biggest stars. Along with pictures of important people, places, and events, you will learn about Doris Day like never before, in no time at all.

    He proposes his solution.

    The book has undergone three editions, several reprints, and revised reprints in a span of 13 years. There are many biochemistry textbooks in the market. Some of them are purely basic while others are applied, and there are very few books which cover both these aspects together. For this reason, the students learning biochemistry in their undergraduate courses have to depend on multiple books to acquire a sound knowledge of the subject. This book, ‘Biochemistry’ is unique with a simultaneous and equal emphasis on basic and applied aspects of biochemistry. This textbook offers an integration of medical and pure sciences, comprehensively written to meet the curriculum requirements of undergraduate courses in medical, dental, pharmacy, life-sciences and other categories (agriculture, veterinary, etc.). This book is designed to develop in students a sustained interest and enthusiasm to learn and develop the concepts in biochemistry in a logical and stepwise manner. It incorporates a variety of pedagogic aids, besides colour illustrations to help the students understand the subject quickly and to the maximum. The summary and biomedical/clinical concepts are intended for a rapid absorption and assimilation of the facts and concepts in biochemistry. The self-assessment exercises will stimulate the students to think rather than merely learn the subject. In addition, these exercises (essays, short notes, fill in the blanks, multiple choice questions) set at different difficulty levels, will cater to the needs of all the categories of learners.New to This Edition The book offers an integration of medical and pure sciences, and is comprehensively written, revised and updated to meet the curriculum requirements of Medical, Pharmacy, Dental, Veterinary, Biotechnology, Agricultural Sciences, Life Sciences, and others studying Biochemistry as one of the subjects. It is the first text book on Biochemistry in English with multi-colour illustrations by an author from Asia. The use of multicolours is for a clearer understanding of the complicated biochemical reactions. It is written in a lucid style with the subject being presented as an engaging story growing from elementary information to the most recent advances, and with theoretical discussions being supplemented with illustrations, flowcharts, and tables for easy understanding of Biochemistry. It has each chapter beginning with a four-line verse followed by the text, biomedical concepts, a summary, and self-assessment exercises. The lively illustrations and text with appropriate headings and sub-headings in bold type faces facilitate reading path clarity and quick recall. It provides the most recent and essential information on Molecular Biology and Biotechnology, Diabetes, Cancer, Free Radicals, Free radicals and Antioxidants, Prostaglandins, etc. It describes a wide variety of case studies and biochemical correlations and several newer biomedical aspects- Metabolic syndrome, Therapeutic diets, Atkins diet, Trans fatty acids, Epigenetics, Nutrigenomics, Recombinant ribozymes, Membrane transport disorders, Pleural fluid etc. It contains the basics (Bioorganic and Biophysical Chemistry, Tools of Biochemistry, Immunology, and Genetics) for beginners to learn easily Biochemistry, origins of biochemical words, confusables in Biochemistry, principles of Practical Biochemistry, and Clinical Biochemistry Laboratory.

    Rare Book

     Free BONUS Inside! As the sole legitimate child of Lord Byron, Ada Lovelace was the progeny of literary royalty. Many might have naturally expected her to go into the field of her father, but instead of delving into poetry, she delved into the hard sciences of mathematics and analytic thinking. Even so, Ada still had the imagination of a lyricist when writing scientific treatises, at times referring to her own work as nothing short of “poetical science.” Everything she did, she did with passion and dogged determination. It was this drive that led Ada to look farther and search deeper than her contemporaries. Her unique vision led her to become one of the pioneers of the modern computer and one of the world’s first computer programmers. But what exactly do we know about Ada Lovelace, and how can it be quantified? Read this book to find out more about the nineteenth-century mathematician and writer Augusta Ada King, Countess of Lovelace. Discover a plethora of topics such as The Daughter of Lord and Lady Byron Early Years of Paralysis The World’s First Computer Programmer Rumors and Laudanum Addiction A Grim Prognosis Last Days and Death And much more! So if you want a concise and informative book on Ada Lovelace, simply scroll up and click the "Buy now" button for instant access!

    Written By Two Of Today'S Most Respected Computer Science Educators, Nell Dale And John Lewis, The Text Provides A Broad Overview Of The Many Aspects Of The Discipline From A Generic View Point. Separate Program Language Chapters Are Available As Bundle Items For Those Instructors Who Would Like To Explore A Particular Programming Language With Their Students. The Many Layers Of Computing Are Thoroughly Explained Beginning With The Information Layer, Working Through The Hardware, Programming, Operating Systems, Application, And Communication Layers, And Ending With A Discussion On The Limitations Of Computing. Perfect For Introductory Computing And Computer Science Courses, Computer Science Illuminated, Third Edition's Thorough Presentation Of Computing Systems Provides Computer Science Majors With A Solid Foundation For Further Study, And Offers Non-Majors A Comprehensive And Complete Introduction To Computing.

    Using playing cards, a newspaper, the back of an envelope, a Sudoku, some pennies and of course a pair of socks, Rob Eastaway shows how maths can demonstrate its secret beauties in even the most mundane of everyday objects. Among the many fascinating curiosities in these pages, you will discover the strange link between limericks and rabbits, an apparently 'fair' coin game where the odds are massively in your favour, why tourist boards can't agree on where the centre of Britain is, and how simple paper folding can lead to a Jurassic Park monster. With plenty of ideas you'll want to test out for yourself, this engaging and refreshing look at mathematics is for everyone.

    You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.

    A modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.

    Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.

    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

    Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively

    McKellar instantly puts her readers at ease, showing teenage girls-and anyone taking algebra-how to feel confident, get in the driver's seat, and master topics like square roots, polynomials, quadratic equations, word problems and more . . . without breaking a sweat (or a nail). Danica provides illuminating, step-by-step math lessons combined with reader favorites like personality quizzes, popular doodles, real-life testimonials, and stories from her own life, so girls feel like she's sitting right next to them. As hundreds of thousands of girls already know, Danica's irreverent, light-hearted approach opens the door to higher grades and higher test scores. Now, with Hot X: Algebra Exposed, the scary veil of algebra is finally lifted, making it understandable, relevant and maybe even a little (gasp!) fun for girls.