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An Analytical Calculus
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Book Synopsis Technical Calculus with Analytic Geometry by : Peter Kuhfittig
Download or read book Technical Calculus with Analytic Geometry written by Peter Kuhfittig and published by Cengage Learning. This book was released on 2012-08-21 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for today's technology student, TECHNICAL CALCULUS WITH ANALYTIC GEOMETRY prepares you for your future courses! With an emphasis on applications, this mathematics text helps you learn calculus skills that are particular to technology. Clear presentation of concepts, detailed examples, marginal annotations, and step-by-step procedures enhance your understanding of difficult concepts. Notations that are frequently encountered in technology are used throughout to help you prepare for further courses in your career. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Book Synopsis Calculus with Analytic Geometry by : Harley Flanders
Download or read book Calculus with Analytic Geometry written by Harley Flanders and published by Academic Press. This book was released on 2014-05-10 with total page 1057 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus with Analytic Geometry presents the essentials of calculus with analytic geometry. The emphasis is on how to set up and solve calculus problems, that is, how to apply calculus. The initial approach to each topic is intuitive, numerical, and motivated by examples, with theory kept to a bare minimum. Later, after much experience in the use of the topic, an appropriate amount of theory is presented. Comprised of 18 chapters, this book begins with a review of some basic pre-calculus algebra and analytic geometry, paying particular attention to functions and graphs. The reader is then introduced to derivatives and applications of differentiation; exponential and trigonometric functions; and techniques and applications of integration. Subsequent chapters deal with inverse functions, plane analytic geometry, and approximation as well as convergence, and power series. In addition, the book considers space geometry and vectors; vector functions and curves; higher partials and applications; and double and multiple integrals. This monograph will be a useful resource for undergraduate students of mathematics and algebra.
Book Synopsis Calculus and Analysis by : Horst R. Beyer
Download or read book Calculus and Analysis written by Horst R. Beyer and published by John Wiley & Sons. This book was released on 2010-04-26 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: A NEW APPROACH TO CALCULUS THAT BETTER ENABLES STUDENTS TO PROGRESS TO MORE ADVANCED COURSES AND APPLICATIONS Calculus and Analysis: A Combined Approach bridges the gap between mathematical thinking skills and advanced calculus topics by providing an introduction to the key theory for understanding and working with applications in engineering and the sciences. Through a modern approach that utilizes fully calculated problems, the book addresses the importance of calculus and analysis in the applied sciences, with a focus on differential equations. Differing from the common classical approach to the topic, this book presents a modern perspective on calculus that follows motivations from Otto Toeplitz's famous genetic model. The result is an introduction that leads to great simplifications and provides a focused treatment commonly found in the applied sciences, particularly differential equations. The author begins with a short introduction to elementary mathematical logic. Next, the book explores the concept of sets and maps, providing readers with a strong foundation for understanding and solving modern mathematical problems. Ensuring a complete presentation, topics are uniformly presented in chapters that consist of three parts: Introductory Motivations presents historical mathematical problems or problems arising from applications that led to the development of mathematical solutions Theory provides rigorous development of the essential parts of the machinery of analysis; proofs are intentionally detailed, but simplified as much as possible to aid reader comprehension Examples and Problems promotes problem-solving skills through application-based exercises that emphasize theoretical mechanics, general relativity, and quantum mechanics Calculus and Analysis: A Combined Approach is an excellent book for courses on calculus and mathematical analysis at the upper-undergraduate and graduate levels. It is also a valuable resource for engineers, physicists, mathematicians, and anyone working in the applied sciences who would like to master their understanding of basic tools in modern calculus and analysis.
Download or read book An Analytical Calculus written by and published by CUP Archive. This book was released on with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Calculus by : Patrick Fitzpatrick
Download or read book Advanced Calculus written by Patrick Fitzpatrick and published by American Mathematical Soc.. This book was released on 2009 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.
Book Synopsis Elementary Analysis by : Kenneth A. Ross
Download or read book Elementary Analysis written by Kenneth A. Ross and published by CUP Archive. This book was released on 2014-01-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Analytical Calculus for School and University by : Edwin Arthur Maxwell
Download or read book An Analytical Calculus for School and University written by Edwin Arthur Maxwell and published by . This book was released on 1954 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculus with Analytic Geometry by : Ron Larson
Download or read book Calculus with Analytic Geometry written by Ron Larson and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This traditional text offers a balanced approach that combines the theoretical instruction of calculus with the best aspects of reform, including creative teaching and learning techniques such as the integration of technology, the use of real-life applications, and mathematical models. The Calculus with Analytic Geometry Alternate, 6/e, offers a late approach to trigonometry for those instructors who wish to introduce it later in their courses.
Book Synopsis An Analytical Calculus: Volume 1 by : E. A. Maxwell
Download or read book An Analytical Calculus: Volume 1 written by E. A. Maxwell and published by Cambridge University Press. This book was released on 2008-11-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a series of four volumes covering all stages of development of the Calculus, from the last year at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies, with their emphasis on rigour. This volume is concerned with the basic ideas and applications of differentiation and integration in relation to algebraic and trigonometric functions, but excluding logarithmic and exponential functions. Integration begins on the 'Riemann integral' basis, and the treatment of curves combines accuracy with simplicity, without shirking the awkward problems of sign. Each section has examples; at the end of each chapter there are problems from school-leaving and open scholarship examinations.
Book Synopsis An analytical calculus for school and university. 3 by : Edwin A. Maxwell
Download or read book An analytical calculus for school and university. 3 written by Edwin A. Maxwell and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Analytic Geometry and Calculus by : A. C. Burdette
Download or read book An Introduction to Analytic Geometry and Calculus written by A. C. Burdette and published by Academic Press. This book was released on 2014-05-10 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus. This book is composed of 14 chapters and begins with an overview of the fundamental relations of the coordinate system. The next chapters deal with the fundamentals of straight line, nonlinear equations and graphs, functions and limits, and derivatives. These topics are followed by a discussion of some applications of previously covered mathematical subjects. This text also considers the fundamentals of the integrals, trigonometric functions, exponential and logarithm functions, and methods of integration. The final chapters look into the concepts of parametric equations, polar coordinates, and infinite series. This book will prove useful to mathematicians and undergraduate and graduate mathematics students.
Book Synopsis From Calculus to Analysis by : Steen Pedersen
Download or read book From Calculus to Analysis written by Steen Pedersen and published by Springer. This book was released on 2015-03-21 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section.
Book Synopsis An Analytical Calculus: Volume 3 by : E. A. Maxwell
Download or read book An Analytical Calculus: Volume 3 written by E. A. Maxwell and published by Cambridge University Press. This book was released on 1954 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume treats of the theory of functions of more than one variable.
Book Synopsis An Analytical Calculus for School and University by :
Download or read book An Analytical Calculus for School and University written by and published by . This book was released on 1962 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Analytical Calculus: Volume 4 by : E. A. Maxwell
Download or read book An Analytical Calculus: Volume 4 written by E. A. Maxwell and published by Cambridge University Press. This book was released on 2008-11-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the final volume of a series covering all stages of development of the Calculus, from the last year at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies, with their emphasis on rigour. Dr Maxwell guides the student through the early stages of analysis, while keeping the exposition as clear and uncomplicated as possible. The aim is to instil a knowledge of general method rather than to study the particular functions in detail; in this way the student is led on naturally to apply what they have learnt to move advanced mathematical contexts. Dr Maxwell is, as usual, lucid in his presentation, explaining difficulties in greater detail than is customary in an advanced textbook, and guarding against the pitfalls that await the beginner.
Book Synopsis Calculus and Analysis in Euclidean Space by : Jerry Shurman
Download or read book Calculus and Analysis in Euclidean Space written by Jerry Shurman and published by Springer. This book was released on 2016-11-26 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, Calculus and Analysis in Euclidean Space offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject. The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of geometric intuition (the visual cortex being quickly instinctive) algebraic manipulation (symbol-patterns being precise and robust) incisive use of natural language (slogans that encapsulate central ideas enabling a large-scale grasp of the subject). Thinking in these ways renders mathematics coherent, inevitable, and fluid. The prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs.
Book Synopsis Elements of Calculus and Analytic Geometry by : George Brinton Thomas
Download or read book Elements of Calculus and Analytic Geometry written by George Brinton Thomas and published by . This book was released on 1989 with total page 914 pages. Available in PDF, EPUB and Kindle. Book excerpt:
