Approximately Calculus PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Approximately Calculus PDF full book. Access full book title Approximately Calculus by Shahriar Shahriari. Download full books in PDF and EPUB format.
Author: Shahriar Shahriari
Publisher: American Mathematical Soc.
ISBN: 0821837508
Category : Mathematics
Languages : en
Pages : 314
Get Book Here
Book Description
Is there always a prime number between $n$ and $2n$? Where, approximately, is the millionth prime? And just what does calculus have to do with answering either of these questions? It turns out that calculus has a lot to do with both questions, as this book can show you. The theme of the book is approximations. Calculus is a powerful tool because it allows us to approximate complicated functions with simpler ones. Indeed, replacing a function locally with a linear--or higher order--approximation is at the heart of calculus. The real star of the book, though, is the task of approximating the number of primes up to a number $x$. This leads to the famous Prime Number Theorem--and to the answers to the two questions about primes. While emphasizing the role of approximations in calculus, most major topics are addressed, such as derivatives, integrals, the Fundamental Theorem of Calculus, sequences, series, and so on. However, our particular point of view also leads us to many unusual topics: curvature, Pade approximations, public key cryptography, and an analysis of the logistic equation, to name a few. The reader takes an active role in developing the material by solving problems. Most topics are broken down into a series of manageable problems, which guide you to an understanding of the important ideas. There is also ample exposition to fill in background material and to get you thinking appropriately about the concepts. Approximately Calculus is intended for the reader who has already had an introduction to calculus, but wants to engage the concepts and ideas at a deeper level. It is suitable as a text for an honors or alternative second semester calculus course.
Author: Shahriar Shahriari
Publisher: American Mathematical Soc.
ISBN: 0821837508
Category : Mathematics
Languages : en
Pages : 314
Get Book Here
Book Description
Is there always a prime number between $n$ and $2n$? Where, approximately, is the millionth prime? And just what does calculus have to do with answering either of these questions? It turns out that calculus has a lot to do with both questions, as this book can show you. The theme of the book is approximations. Calculus is a powerful tool because it allows us to approximate complicated functions with simpler ones. Indeed, replacing a function locally with a linear--or higher order--approximation is at the heart of calculus. The real star of the book, though, is the task of approximating the number of primes up to a number $x$. This leads to the famous Prime Number Theorem--and to the answers to the two questions about primes. While emphasizing the role of approximations in calculus, most major topics are addressed, such as derivatives, integrals, the Fundamental Theorem of Calculus, sequences, series, and so on. However, our particular point of view also leads us to many unusual topics: curvature, Pade approximations, public key cryptography, and an analysis of the logistic equation, to name a few. The reader takes an active role in developing the material by solving problems. Most topics are broken down into a series of manageable problems, which guide you to an understanding of the important ideas. There is also ample exposition to fill in background material and to get you thinking appropriately about the concepts. Approximately Calculus is intended for the reader who has already had an introduction to calculus, but wants to engage the concepts and ideas at a deeper level. It is suitable as a text for an honors or alternative second semester calculus course.
Author: Gregory Hill
Publisher: Research & Education Assoc.
ISBN: 0738603058
Category : Education
Languages : en
Pages : 338
Get Book Here
Book Description
Start earning college credit the inexpensive way. An easier path to a college degree - get college credits without the classes. CLEP CALCULUS – with TESTware Includes CD with timed practice tests, instant scoring, and more. Based on today’s official CLEP exam Are you prepared to excel on the CLEP? * Take the first practice test to discover what you know and what you should know * Set up a flexible study schedule by following our easy timeline * Use REA's advice to ready yourself for proper study and success Study what you need to know to pass the exam * The comprehensive review covers all calculus topics found on the official exam, including limits and differential calculus and integral calculus, including algebraic, trigonometric, exponential, logarithmic, and general functions. * Smart and friendly lessons reinforce necessary skills * Key tutorials enhance specific abilities needed on the test * Targeted drills increase comprehension and help organize study Take Practice Tests * Create the closest experience to test-day conditions with the book’s 2 full-length practice tests on REA’s TESTware CD, featuring test-taking against the clock, instant scoring by topic, handy mark-and-return function, pause function, and more. * OR choose paper-and-pencil testing at your own pace * Chart your progress with full and detailed explanations of all answers * Boost your confidence with test-taking strategies and experienced advice REA is the acknowledged leader in CLEP preparation, with the most extensive library of CLEP titles and software available. Most titles are offered with REA’s exclusive TestWare software to make your practice more effective and more like exam day. REA’s CLEP test preps will help you earn valuable college credits, save on tuition, and advance your chosen career by earning a college degree. If you want an economical, fast track to college credit, then REA’s CLEP series is for you!
Author: Steven Strogatz
Publisher: Mariner Books
ISBN: 1328879984
Category : Biography & Autobiography
Languages : en
Pages : 389
Get Book Here
Book Description
This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.
Author: W. Michael Kelley
Publisher: Penguin
ISBN: 1615646973
Category : Mathematics
Languages : en
Pages : 578
Get Book Here
Book Description
Now students have nothing to fear! Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams. --Includes 1,000 problems with comprehensive solutions --Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps --Kelley is a former award-winning calculus teacher
Author: Dennis Jarecke
Publisher: Calculus Center
ISBN: 0999525409
Category : Mathematics
Languages : en
Pages : 139
Get Book Here
Book Description
Students often struggle to understand Calculus and get through their first Calculus course. And to make things worse, many popular textbooks reach a whopping 1,000 pages to introduce this crucial subject, needlessly frustrating and overwhelming students. Calculus in 5 Hours develops the confidence you need in approximately 124 pages. You may not realize it, but you're smarter than you think you are. The problem is that assigned textbooks give exhaustive explanations of every proof and theorem in Calculus. But too many details can impair learning - especially when you're learning something for the first time - creating doubt and uncertainty in your ability to understand. What's needed is a straightforward guide to give you the basic concepts. Calculus in 5 Hours is a good companion to any Calculus course and an excellent resource for refreshing your knowledge of the subject. Here's what it can do for you: * Organize your understanding of Calculus for quick and easy recall on tests and homework assignments * Present straightforward drawings that demonstrate concepts with minimal effort on your part * Highlight simple examples without burdening you with useless details Calculus in 5 Hours covers roughly 75% of a first-semester course and leaves out the extra material that adds little value in learning Calculus itself. So, if you need a comprehensive textbook that goes through every detail of Calculus, then this book is not for you. Instead, you'll get a straightforward and simple explanation of Calculus that can be absorbed in less than a day, strengthening your knowledge and confidence at the same time. This allows you to focus on what's truly important - gaining knowledge and achievement as fast as possible. Get Calculus in 5 Hours to shorten your learning curve and gain the understanding you need to be successful today.
Author: Dan Sloughter
Publisher: American Mathematical Soc.
ISBN: 1470455889
Category : Education
Languages : en
Pages : 571
Get Book Here
Book Description
Calculus from Approximation to Theory takes a fresh and innovative look at the teaching and learning of calculus. One way to describe calculus might be to say it is a suite of techniques that approximate curved things by flat things and through a limiting process applied to those approximations arrive at an exact answer. Standard approaches to calculus focus on that limiting process as the heart of the matter. This text places its emphasis on the approximating processes and thus illuminates the motivating ideas and makes clearer the scientific usefulness, indeed centrality, of the subject while paying careful attention to the theoretical foundations. Limits are defined in terms of sequences, the derivative is defined from the best affine approximation, and greater attention than usual is paid to numerical techniques and the order of an approximation. Access to modern computational tools is presumed throughout and the use of these tools is woven seamlessly into the exposition and problems. All of the central topics of a yearlong calculus course are covered, with the addition of treatment of difference equations, a chapter on the complex plane as the arena for motion in two dimensions, and a much more thorough and modern treatment of differential equations than is standard. Dan Sloughter is Emeritus Professor of Mathematics at Furman University with interests in probability, statistics, and the philosophy of mathematics and statistics. He has been involved in efforts to reform calculus instruction for decades and has published widely on that topic. This book, one of the results of that work, is very well suited for a yearlong introduction to calculus that focuses on ideas over techniques.
Author: Stefano Berardi
Publisher: Springer
ISBN: 3642024440
Category : Computers
Languages : en
Pages : 331
Get Book Here
Book Description
These proceedings contain a selection of refereed papers presented at or - lated to the Annual Workshop of the TYPES project (EU coordination action 510996), which was held during March 26–29, 2008 in Turin, Italy. The topic of this workshop, and of all previous workshops of the same project, was f- mal reasoning and computer programming based on type theory: languages and computerized tools for reasoning, and applications in several domains such as analysis of programming languages, certi?ed software, mobile code, formali- tion of mathematics, mathematics education. The workshop was attended by more than 100 researchers and included more than 40 presentations. We also had three invited lectures, from A. Asperti (University of Bologna), G. Dowek (LIX, Ecole polytechnique, France) and J. W. Klop (Vrije Universiteit, A- terdam, The Netherlands). From 27 submitted papers, 19 were selected after a reviewing process. Each submitted paper was reviewed by three referees; the ?nal decisions were made by the editors. This workshop is the last of a series of meetings of the TYPES working group funded by the European Union (IST project 29001, ESPRIT Working Group 21900, ESPRIT BRA 6435).
Author: Oliver Clarence Lester
Publisher:
ISBN:
Category : Integrals
Languages : en
Pages : 81
Get Book Here
Book Description
Author: William L. Schaaf
Publisher: Courier Corporation
ISBN: 0486172643
Category : Mathematics
Languages : en
Pages : 434
Get Book Here
Book Description
Comprehensive but concise, this introduction to differential and integral calculus covers all the topics usually included in a first course. The straightforward development places less emphasis on mathematical rigor, and the informal manner of presentation sets students at ease. Many carefully worked-out examples illuminate the text, in addition to numerous diagrams, problems, and answers. Bearing the needs of beginners constantly in mind, the treatment covers all the basic concepts of calculus: functions, derivatives, differentiation of algebraic and transcendental functions, partial differentiation, indeterminate forms, general and special methods of integration, the definite integral, partial integration, and other fundamentals. Ample exercises permit students to test their grasp of subjects before moving forward, making this volume appropriate not only for classroom use but also for review and home study.
Author: Steven Lepi
Publisher: CRC Press
ISBN: 1000145905
Category : Technology & Engineering
Languages : en
Pages : 545
Get Book Here
Book Description
Assuming only basic knowledge of mathematics and engineering mechanics, this lucid reference introduces the fundamentals of finite element theory using easy-to-understand terms and simple problems-systematically grounding the practitioner in the basic principles then suggesting applications to more general cases. Furnishes a wealth of practical insights drawn from the extensive experience of a specialist in the field! Generously illustrated with over 200 detailed drawings to clarify discussions and containing key literature citations for more in-depth study of particular topics, this clearly written resource is an exceptional guide for mechanical, civil, aeronautic, automotive, electrical and electronics, and design engineers; engineering managers; and upper-level undergraduate, graduate, and continuing-education students in these disciplines.
