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First course calculus texts have traditionally been either “engineering/science-oriented” with too little rigor, or have thrown students in the deep end with a rigorous analysis text. The How and Why of One Variable Calculus closes this gap in providing a rigorous treatment that takes an original and valuable approach between calculus and analysis. Logically organized and also very clear and user-friendly, it covers 6 main topics; real numbers, sequences, continuity, differentiation, integration, and series. It is primarily concerned with developing an understanding of the tools of calculus. The author presents numerous examples and exercises that illustrate how the techniques of calculus have universal application. The How and Why of One Variable Calculus presents an excellent text for a first course in calculus for students in the mathematical sciences, statistics and analytics, as well as a text for a bridge course between single and multi-variable calculus as well as between single variable calculus and upper level theory courses for math majors.

Author : Amol Sasane
ISBN : 3110402688
Genre : Mathematics
File Size : 80.96 MB
Format : PDF
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First course calculus texts have traditionally been either "engineering/science-oriented" with too little rigor, or have thrown students in the deep end with a rigorous analysis text. "The How and Why of One Variable Calculus" closes this gap in providing a rigorous treatment that takes an original and valuable approach between calculus and analysis. Logically organized and also very clear and user-friendly, it covers 6 main topics; real numbers, sequences, continuity, differentiation, integration, and series. It is primarily concerned with developing an understanding of the tools of calculus. The author presents numerous examples and exercises that illustrate how the techniques of calculus have universal application. "The How and Why of One Variable Calculus" presents an excellent text for a first course in calculus for students in the mathematical sciences, statistics and analytics, as well as a text for a bridge course between single and multi-variable calculus as well as between single variable calculus and upper level theory courses for math majors.

Author : James Stewart
ISBN : 9781305548732
Genre : Mathematics
File Size : 78.81 MB
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James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Eighth Edition of SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTALS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Author : Peter R. Mercer
ISBN : 9781493919260
Genre : Mathematics
File Size : 79.4 MB
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This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus — such as the real numbers, differentiation and integration, mean value theorems, the exponential function — are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for π. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization. More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.

Author : Gerald L. Bradley
ISBN : 0132072181
Genre : Calculus
File Size : 58.69 MB
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Presents calculus development by integrating technology (with either graphing calculator or computer). The Computational Windows feature offers insights into how technological advances can be used to help understand calculus.

Author : Jeff Morgan
ISBN : 0534379222
Genre : Mathematics
File Size : 22.24 MB
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Contains computer lab projects, sample syllabi, troubleshooting tips, and programming with Maple. Each chapter ends with a summary and a set of exercises.

Author : Selwyn L. Hollis
ISBN : 0534364349
Genre : Calculus
File Size : 86.29 MB
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The easy way to learn to use the technology tools available to you! Each lab in this comprehensive manual contains clearly explained exercises and a variety of labs and projects to accompany the text.

Author : Arnold Ostebee
ISBN : 0030068029
Genre : Calculus
File Size : 20.30 MB
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The text addresses a general mathematical audience: mathematics majors, science and engineering majors, and non-science majors. [The authors] assume little more mathematical maturity than for single-variable calculus, but the presentation is not rigorous in the sense of mathematical analysis. [They] want students to encounter, understand, and use the main concepts and methods of multivariable calculus and to see how they extend the simpler objects and ideas of elementary calculus ... [They] assume that students have the "usual" one-year, single-variable calculus preparation, but little or nothing more than that.-About this preliminary ed.

Author : James Stewart
ISBN : PSU:000064517438
Genre : Mathematics
File Size : 44.68 MB
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Stewart's SINGLE VARIABLE CALCULUS WITH VECTOR FUNCTIONS has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that characterized all of James Stewart's texts. In this new text, Stewart focuses on problem solving, using the pedagogical system that has worked so well for students in a wide variety of academic settings throughout the world.

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.

Calculus Using Mathematica is intended for college students taking a course in calculus. It teaches the basic skills of differentiation and integration and how to use Mathematica, a scientific software language, to perform very elaborate symbolic and numerical computations. This is a set composed of the core text, science and math projects, and computing software for symbolic manipulation and graphics generation. Topics covered in the core text include an introduction on how to get started with the program, the ideas of independent and dependent variables and parameters in the context of some down-to-earth applications, formulation of the main approximation of differential calculus, and discrete dynamical systems. The fundamental theory of integration, analytical vector geometry, and two dimensional linear dynamical systems are elaborated as well. This publication is intended for beginning college students.

Author : Brian E. Blank
ISBN : 1931914591
Genre : Mathematics
File Size : 64.78 MB
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Calculus is one of the milestones of human thought, and has become essential to a broader cross-section of the population in recent years. This two-volume work focuses on today's best practices in calculus teaching, and is written in a clear, crisp style.

Author : Warren Page
ISBN : 9780883851920
Genre : Econometrics
File Size : 38.28 MB
Format : PDF
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Shows instructors what mathematics is used at the undergraduate level in various parts of economics. Separate sections provide students with opportunities to apply their mathematics in relevant economics contexts. Brings together many different mathematics applications to such varied economics topics.

Author : James G. Simmonds
ISBN : 9780486315584
Genre : Mathematics
File Size : 81.30 MB
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This introductory text explains methods for obtaining approximate solutions to mathematical problems by exploiting the presence of small, dimensionless parameters. For engineering and physical science undergraduates.

Author : Geoff Smith
ISBN : 0868407178
Genre : Mathematics
File Size : 40.89 MB
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Presents a treatment of single variable Calculus designed as an introductory tertiary level mathematics textbook for engineering and science students. The subject matter is developed by modelling physical problems, some of which would normally be encountered by students as experiments in a first year physics course.