In oder to supplying the better references to students, lecturers and researchers; FPT Library and Information Center delighted to inform you about the subject guide for this subject: Caculus – MAC 101.

**Main book**

**Essential calculus**

Author: James Stewart Australia : Thomson, 2008. – 885tr. ; 25cm

ISBN: 049510860X – 9780495108603 This book is a response to those instructors who feel that calculus textbooks are too big. In writing the book James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? Stewart’s ESSENTIAL CALCULUS offers a concise approach to teaching calculus that focuses on major concepts and supports those concepts with precise definitions, patient explanations, and carefully graded problems. Essential Calculus is only 850 pages-two-thirds the size of Stewart’s other calculus texts (CALCULUS, Fifth Edition and CALCULUS, EARLY TRANSCENDENTALS, Fifth Edition)-and yet it contains almost all of the same topics. The author achieved this relative brevity mainly by condensing the exposition and by putting some of the features on the website, http://www.StewartCalculus.com. Despite the reduced size of the book, there is still a modern flavor: Conceptual understanding and technology are not neglected, though they are not as prominent as in Stewart’s other books. ESSENTIAL CALCULUS has been written with the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart’s textbooks the best-selling calculus texts in the world.

**Reference Books****Essential calculus : Complete solutions manual for Stewart’s** Author: James Stewart Us : Thomson/West, 2007. – 864tr. ; 26cm.

ISBN: 0495014451 – 9780495014454

The author achieved this relative brevity mainly by condensing the exposition and by putting some of the features on the website, http://www.StewartCalculus.com. Despite the reduced size of the book, there is still a modern flavor: Conceptual understanding and technology are not neglected, though they are not as prominent as in Stewart’s other books. ESSENTIAL CALCULUS has been written with the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart’s textbooks the best-selling calculus texts in the world.

**Calculus for Engineers**

Author: Donald Trim

ISBN 0-13-085603-7

Calculus for Engineers,Fourth Canadian Edition, is appropriate for first-year university-level engineering/physical science students who are studying calculus. Using an early transcendental approach, Trim emphasizes practical applications, many of which are drawn from various engineering fields. Students begin with basic practice drills and then progress to problems that require the integration of information learned in previous chapters. In this way, students develop an understanding of the mathematical procedure, rather than simply plugging numbers into formulae.

**Calculus**

Author: Stanley I. Grossman 5th Edition, ISBN 0-03-096420-2 Stressing an intuitive rather than rigorous/formal approach to calculus, this student-oriented text covers all of the standard topics. Integration of chapter-end computer exercises and calculator exercises throughout the text and a graphing calculator appendix recognise the impact of technology on calculus. An abundance of interesting applications from engineering, physics, biology, chemistry, economics, astronomy, medicine and pure mathematics shows the far-reaching relevance of calculus. An algebra review is provided in Chapter 10. Numerous examples throughout the text contain all the algebraic steps, with key steps highlighted in colour, needed to complete the solution. The examples are complimented by more than 7,000 section and chapter exercises featuring drill, application, calculator, “show/prove/disprove”, and challenge problems. Each problem set begins with “Self-quiz” questions to help students evaluate their understanding of basic ideas in the section. The development of calculus is outlined in extensive historical notes. Biographical sketches impart information on renowned mathematicians.

**Student’s solutions manual to accompany Calculus: For business, economics, and the social and life sciences**

Author: Laurence D Hoffmann, Gerald L Bradley; Devilyna Nichols prepared Brief 9th ed. – Boston : McGraw-Hill, 2007. – iv, 356 p. : ill. ; 28 cm.

ISBN: 007325729X

**Schaum’s 3000 solved problems in calculus** Edited by Elliott Mendelson New York : McGraw-Hill, 1988. – v, 442 p. : ill. ; 28 cm.

ISBN: 007325729X Facing Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there’s Schaum’s. More than 40 million students have trusted Schaum’s to help them succeed in the classroom and on exams. Schaum’s is the key to faster learning and higher grades in every subject. Each Solved Problem book helps you cut study time, hone problem-solving skills, and achieve your personal best on exams! You get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum’s Solved Problems gives: you 3,000 solved problems covering every area of calculus; atep-by-step approach to

problems; and, hundreds of clear diagrams and illustrations. Fully compatible with your classroom text, Schaum’s highlights all the problem-solving skills you need to know. Use Schaum’s to shorten your study time, increase your test scores, and get your best possible final grade. Schaum’s Outlines – Problem Solved.

**Vector calculus** Jerrold E. Marsden, Anthony J. Tromba

3rd ed. – New York : W.H.Freeman and Company, 1988. – 655tr. ; 24cm

ISBN: 0716718561 This text helps students foster computational skills and intuitive understanding with a careful balance of theory, applications and optional materials. This edition offers revised coverage in several areas and a new section looking at applications to differential geometry, physics and forms of life as well as a large number of new exercises and expansion of the book’s historical notes, which help students understand how calculus evolved by profiling important mathematicians. With its contemporary balance between theory, application and historical development the fifth edition gives an insight into how mathematics progresses and is in turn influenced by the natural world.

**Calculus and its applications**

Author: Marvin L. Bittingge, David J. Ellenbogen 9th ed. – Boston ; Harlow : Addison-Wesley, 2008. – xxviii, 615 p. : ill. ; 26 cm.

ISBN: 0321485432 – 9780321485434 Calculus and Its Applications remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today’s readers, providing intuitive explanations that work with the carefully crafted artwork to help them visualize new calculus concepts. Additionally, the text’s numerous and up-to-date applications from business, economics, life sciences, and social sciences help motivate readers. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this revision is designed to motivate and help readers to more readily understand and apply the mathematics.

**Calculus : Early transcendental functions** Author: Robert T. Smith, Roland B. Minton . 3rd.ed. – Boston : McGraw-Hill Higher Education, 2007. – 1 v. (various pagings) : ill. ; 27 cm. – Minton, Roland B., 1956.

ISBN: 9780072869538 Smith/Minton: Mathematically Precise. Student-Friendly. Superior Technology. Students who have used Smith/Minton’s Calculus say it was easier to read than any other math book they’ve used. That testimony underscores the success of the authors’ approach which combines the most reliable aspects of mainstream Calculus teaching with the best elements of reform, resulting in a motivating, challenging book. Smith/Minton wrote the book for the students who will use it, in a language that they understand, and with the expectation that their backgrounds may have some gaps. Smith/Minton provide exceptional, reality-based applications that appeal to students’ interests and demonstrate the elegance of math in the world around us. New features include: – Many new exercises and examples (for a total of 7,000 exercises and 1000 examples throughout the book) provide a careful balance of routine, intermediate and challenging exercises – New exploratory exercises in every section that challenge students to make connections to previous introduced material. – New commentaries (“Beyond Formulas”) that encourage students to think mathematically beyond the procedures they learn. – New counterpoints to the historical notes, “Today in Mathematics,” stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. – An enhanced discussion of differential equations and additional applications of vector calculus. – Exceptional Media Resources: Within MathZone, instructors and students have access to a series of unique Conceptual Videos that help students understand key Calculus concepts proven to be most difficult to comprehend, 248 Interactive Applets thathelp students master concepts and procedures and functions, 1600 algorithms, and 113 e-Professors.

**Calculus for business, economics, and the social and life sciences.** Author: Laurence D. Hoffmann, Gerald L. Bradley, with Kenneth H. Rosen. 8th ed.- Boston : McGraw Hill Higher Education, c2004. – xxviii, 728 p. : ill. (some col.) ; 26 cm. – Bradley, Gerald L., 1940- Rosen, Kenneth H

ISBN: 007242432X Designed for students preparing for a career in business, economics, psychology, sociology, architecture, environmental sciences, biology, or other areas of the life sciences and who have completed a high school algebra course. Each new concept the student learns is applied to a wide variety of practical and real-life applications. Many applications utilize real data and include referenced footnotes. Techniques and strategies students need to solve applied problems are stressed. The applications are drawn from the social, managerial, and life sciences, with special emphasis on business and economics. The text is compactly reorganized into nine chapters and includes the additional topic of asymptotes.

**Calculus and its applications** Author: Marvin L. Bittinger, David J. Ellenbogen, Scott Surgent 10th ed. – Boston : Pearson, 2012. – xix, 621p. : ill.; 28cm.

ISBN: 0321766989 – 9780321766984 Calculus and Its Applications has, for years, been a best-selling text for one simple reason: it anticipates, then meets the needs of today’s applied calculus student. Knowing that calculus is a course in which students typically struggle–both with algebra skills and visualizing new calculus concepts–Bittinger and Ellenbogen speak to students in a way they understand, taking great pains to provide clear and careful explanations. Since most students taking this course will go on to careers in the business world, large quantities of real data, especially as they apply to business, are included as well.

**Precalculus** Author: John W. Coburn . New York : McGraw Hill Higher Education, 2007. – xxxi, Sa73, 1275 p. : ill. ; 26 cm.

ISBN: 0072904690 Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text encourages students to see beyond procedures in an effort to gain a greater understanding of the big ideas behind mathematical concepts. Written in a readable, yet mathematically mature manner appropriate for college algebra level students, Coburns Precalculus uses narrative, extensive examples, and a range of exercises to connect seemingly disparate mathematical topics into a cohesive whole. Coburns hallmark applications are born out of the authors extensive experiences in and outside the classroom, and appeal to the vast diversity of students and teaching methods in this course area. Benefiting from the feedback of hundreds of instructors and students across the country, Precalculus second edition, continues to emphasize connections in order to improve the level of student engagement in mathematics and increase their chances of success in college algebra.

**Reference Ebooks (Books24x7)**

***** Ebooks** http://library.books24x7.com/

How to log in Books24x7 databases –> http://fptlibrary.wordpress.com/d%E1%BB%8Bch-v%E1%BB%A5/books24x7-guide/

Browse topics: **Engineering topics / Mathematics (230)**

+ Algebra (7 results)

+ Mathematics General (20 results)

Eg:

**The Calculus of Retirement Income: Financial Models for Pension Annuities and Life Insurance.**

Milevsky, Moshe A Cambridge University Press. © 2006. Books24x7 The book introduces and develops the basic actuarial models and underlying pricing of life-contingent pension annuities and life insurance from a unique financial perspective. The ideas and techniques are then applied to the real-world problem of generating sustainable retirement income towards the end of the human life-cycle. The role of lifetime income, longevity insurance, and systematic withdrawal plans are investigated in a parsimonious framework. The underlying technology and terminology of the book are based on continuous-time financial economics by merging analytic laws of mortality with the dynamics of equity markets and interest rates. Nonetheless, the book requires a minimal background in mathematics and emphasizes applications and examples more than proofs and theorems. It can serve as an ideal textbook for an applied course on wealth management and retirement planning in addition to being a reference for quantitatively-inclined financial planners.

**Mathematica Demystified**

Hoste, Jim. McGraw-Hill. © 2009. Books24x7. Need to learn MATHEMATICA? Problem SOLVED! Take full advantage of all the powerful capabilities of Mathematica with help from this hands-on guide. Filled with examples and step-by-step explanations, Mathematica Demystified takes you from your very first calculation all the way to plotting complex fractals. Using an intuitive format, this book explains the fundamentals of Mathematica up front. Learn how to define functions, create 2-D graphs of functions, write basic programs, and use modules. You’ll move on to 3-D graphics, calculus, polynomial, linear, and differential equations, dynamical systems, and fractals. Hundreds of examples with concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. This self-teaching guide offers: A quick way to get up and running on Mathematica Coverage of Mathematica 6 and 7 Tips for avoiding and correcting syntax errors Details on creating slideshow presentations of your work No unnecessary technical jargon A time-saving approach to performing better on an exam or at work! Simple enough for a beginner, but challenging enough for an advanced user, Mathematica Demystified is your shortcut to mastering this fully integrated technical computing software.

**Introduction to Numerical Analysis Using MATLAB**

Butt, Rizwan

Infinity Science Press. © 2008. Books24x7. Numerical analysis is the branch of mathematics concerned with the theoretical foundations of numerical algorithms for the solution of problems arising in scientific applications. Designed for both courses in numerical analysis and as a reference for practicing engineers and scientists, this book presents the theoretical concepts of numerical analysis and the practical justification of these methods are presented through computer examples with the latest version of MATLAB. The book addresses a variety of questions ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations, with particular emphasis on the stability, accuracy, efficiency and reliability of numerical algorithms. The CD-ROM which accompanies the book includes source code, a numerical toolbox, executables, and simulations.

***** Internet resources**

- http: http://www.ams.org/mathscinet/

- http://cms.fpt.edu.vn/elearning/

- http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx (or CalcII/CalcIII.aspx or CalcIII/CalcIII.aspx)

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