The How and Why of One Variable Calculus PDF Download

Author: Amol Sasane
Publisher: John Wiley & Sons
ISBN: 1119043417
Category : Mathematics
Languages : en
Pages : 520

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Book Description
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 analysistext. The How and Why of One Variable Calculus closes thisgap in providing a rigorous treatment that takes an original andvaluable approach between calculus and analysis. Logicallyorganized and also very clear and user-friendly, it covers 6 maintopics; real numbers, sequences, continuity, differentiation,integration, and series. It is primarily concerned with developingan understanding of the tools of calculus. The author presentsnumerous examples and exercises that illustrate how the techniquesof calculus have universal application. The How and Why of One Variable Calculus presents anexcellent text for a first course in calculus for students in themathematical sciences, statistics and analytics, as well as a textfor a bridge course between single and multi-variable calculus aswell as between single variable calculus and upper level theorycourses for math majors.

Author: M. Thamban Nair
Publisher: Springer Nature
ISBN: 3030886379
Category : Mathematics
Languages : en
Pages : 350

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Book Description
This book is designed to serve as a textbook for courses offered to undergraduate and graduate students enrolled in Mathematics. The first edition of this book was published in 2015. As there is a demand for the next edition, it is quite natural to take note of the several suggestions received from the users of the earlier edition over the past six years. This is the prime motivation for bringing out a revised second edition with a thorough revision of all the chapters. The book provides a clear understanding of the basic concepts of differential and integral calculus starting with the concepts of sequences and series of numbers, and also introduces slightly advanced topics such as sequences and series of functions, power series, and Fourier series which would be of use for other courses in mathematics for science and engineering programs. The salient features of the book are - precise definitions of basic concepts; several examples for understanding the concepts and for illustrating the results; includes proofs of theorems; exercises within the text; a large number of problems at the end of each chapter as home-assignments. The student-friendly approach of the exposition of the book would be of great use not only for students but also for the instructors. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in a mathematics course.

Author: Soo Tang Tan
Publisher:
ISBN: 9781733649704
Category :
Languages : en
Pages :

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Book Description

Author: Stanley I. Grossman
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1166

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Book Description
Revised edition of a standard textbook for a three-semester (or four- to five-quarter) introduction to calculus. In addition to covering all the standard topics, it includes a number of features written to accomplish three goals: to make calculus easier through the use of examples, graphs, reviews, etc.; to help students appreciate the beauty of calculus through the use of applications in a wide variety of fields; and to make calculus interesting by discussing the historical development of the subject. Annotation copyright by Book News, Inc., Portland, OR

Author: Peter R. Mercer
Publisher: Springer
ISBN: 1493919261
Category : Mathematics
Languages : en
Pages : 419

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Book Description
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: Joseph W. Kitchen
Publisher: Courier Dover Publications
ISBN: 0486838064
Category : Mathematics
Languages : en
Pages : 804

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Book Description
Richly textured and versatile text characterizes real numbers as a complete, ordered field. Rigorous development of the calculus, plus thorough treatment of basic topics of limits and inequalities. 1968 edition.

Author: K.E. Hirst
Publisher: Springer Science & Business Media
ISBN: 9781852339401
Category : Mathematics
Languages : en
Pages : 284

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Book Description
Adopts a user-friendly approach, with an emphasis on worked examples and exercises, rather than abstract theory The computer algebra and graphical package MAPLE is used to illustrate many of the ideas and provides an additional aid to teaching and learning Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web

Author: Tunc Geveci
Publisher: Springer
ISBN: 331927807X
Category : Mathematics
Languages : en
Pages : 391

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Book Description
This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on ε-δ definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L’Hôpital’s rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests). Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.

Author: Deborah Hughes-Hallett
Publisher: Wiley
ISBN: 9780471164432
Category : Mathematics
Languages : en
Pages : 0

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Book Description
A revision of the best selling innovative Calculus text on the market. Functions are presented graphically, numerically, algebraically, and verbally to give readers the benefit of alternate interpretations. The text is problem driven with exceptional exercises based on real world applications from engineering, physics, life sciences, and economics. Revised edition features new sections on limits and continuity, limits, l'Hopital's Rule, and relative growth rates, and hyperbolic functions.

Author: Ia Maron
Publisher:
ISBN: 9789388127370
Category : Study Aids
Languages : en
Pages : 0

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Book Description
The "Classic Text Series" is a collection of books written by the most famous mathematicians of their time and has been proven over the years as the most preferred concept-building tool to learn mathematics. Arihant's imprints of these books are a way of presenting these timeless classics. Compiled by IA MARON, the book "Problems in Calculus of One Variable" has been updated and deals with the modern treatment of complex concepts of Mathematics. Formulated as per the latest syllabus, this complete preparatory guide is accumulated with Problems and Solutions with Answer Keys to enhance problem-solving skills. The unique features accumulated in this book are: 1. Complete coverage of syllabus 2. Chapterwise division of Problems 3. Answers And Hints are provided in a great detailed manner 4. Enhance Mathematical Problem-Solving skills in a lucid manner 5. Works as an elementary textbook to build concepts TABLE OF CONTENT: Introduction to Mathematical Analysis, Differentiation of Functions, Application of Differential Calculus to Investigation of Functions, Indefinite Integrals. Basic Methods of Integration, Basic Classes of Integrable Functions, The Definite Integrals, Applications of the Definite Integral, Improper Integrals, Answers and Hints