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Calculus Without Hocus Pocus
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Book Synopsis Calculus Without Hocus Pocus by : K. Razi Naqvi
Download or read book Calculus Without Hocus Pocus written by K. Razi Naqvi and published by K. Razi Naqvi. This book was released on 2019-07-03 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is a subject that needs to be studied many times over, ideally with a different book in each new round. Using Ezra Pound’s analogy (in ABC of Reading), we may think of the learner as an apprentice carpenter, and of calculus as a stool or table; the learner must keep going until the piece of furniture has three legs and will stand up, or four legs and won’t tip over too easily. Most people cannot follow this plan, because life is short and the list of other demands on their time just too long. This book has been written with a view to making calculus more interesting and intelligible to those who left college, recently or a long time ago, without becoming an adept; those who are familiar with the contents of undergraduate calculus, but not altogether content with their own grasp of the central concepts; those who are aware that the structure put together by them during their apprenticeship is too wobbly, and liable to tip over when the number of independent variables is increased from one to just two. An absurd simile? Not in the opinion of a distinguished mathematician and educator (quoted verbatim in the preface), who acknowledged that the customary definition of a differential in the theory of functions of a single variable breaks down when one extends it to functions of several variables and considers double integrals. He continued: “Students are rightly baffled when they attempt to convert such an integral to polar coordinates and are told that no longer is it permissible to [apply a straightforward extension of the relevant formula for a change of variable in a single integral]. The Jacobian must be used instead, and at this point the logical structure which was built so carefully collapses entirely. If we wish to make calculus an intellectually honest subject and not a collection of convenient tricks, it is time we made a fresh start.” Calculus Without Hocus Pocus aims to elucidate those (and only those) issues that are not treated adequately in standard textbooks. It offers more cogent explanations of the conundrums and paradoxes which have been nagging the minds of students and teachers of calculus for generations. The author, who has been using calculus as a teacher and researcher for over fifty years, has tried to produce a condensed and readable book that throws light from various directions upon the difficult parts of this very technical (and somewhat unpopular) subject; to show some of the reasons why calculus has been cast in the mould in which we find it; and to recommend some minor changes in notation and nomenclature that would remove nearly all of the hocus-pocus which almost every learner of calculus has had to endure so far.
Book Synopsis Calculus Without Hocus Pocus by : K Razi Naqvi
Download or read book Calculus Without Hocus Pocus written by K Razi Naqvi and published by . This book was released on 2018-07-20 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is a subject that needs to be studied many times over, ideally with a different book in each new round. Using Ezra Pound's analogy (in ABC of Reading), we may think of the learner as an apprentice carpenter, and of calculus as a stool or table; the learner must keep going until the piece of furniture has three legs and will stand up, or four legs and won't tip over too easily. Most people cannot follow this plan, because life is short and the list of other demands on their time just too long. This book has been written with a view to making calculus more interesting and intelligible to those who left college, recently or a long time ago, without becoming an adept; those who are familiar with the contents of undergraduate calculus, but not altogether content with their own grasp of the central concepts; those who are aware that the structure put together by them during their apprenticeship is too wobbly, and liable to tip over when the number of independent variables is increased from one to just two. An absurd simile? Not in the opinion of a distinguished mathematician and educator (quoted verbatim in the preface), who acknowledged that the customary definition of a differential in the theory of functions of a single variable breaks down when one extends it to functions of several variables and considers double integrals. He continued: "Students are rightly baffled when they attempt to convert such an integral to polar coordinates and are told that no longer is it permissible to [apply a straightforward extension of the relevant formula for a change of variable in a single integral]. The Jacobian must be used instead, and at this point the logical structure which was built so carefully collapses entirely. If we wish to make calculus an intellectually honest subject and not a collection of convenient tricks, it is time we made a fresh start." Calculus Without Hocus Pocus aims to elucidate those (and only those) issues that are not treated adequately in standard textbooks. It offers more cogent explanations of the conundrums and paradoxes which have been nagging the minds of students and teachers of calculus for generations. The author, who has been using calculus as a teacher and researcher for over fifty years, has tried to produce a condensed and readable book that throws light from various directions upon the difficult parts of this very technical (and somewhat unpopular) subject; to show some of the reasons why calculus has been cast in the mould in which we find it; and to recommend some minor changes in notation and nomenclature that would remove nearly all of the hocus-pocus which almost every learner of calculus has had to endure so far.
Book Synopsis Calculus in 5 Hours: Concepts Revealed so You Don't Have to Sit Through a Semester of Lectures by : Dennis Jarecke
Download or read book Calculus in 5 Hours: Concepts Revealed so You Don't Have to Sit Through a Semester of Lectures written by Dennis Jarecke and published by Calculus Center. This book was released on 2018-02-12 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Calculus Without Analytic Geometry by : Barry Mitchell
Download or read book Calculus Without Analytic Geometry written by Barry Mitchell and published by . This book was released on 1969 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculus Without Derivatives by : Jean-Paul Penot
Download or read book Calculus Without Derivatives written by Jean-Paul Penot and published by Springer Science & Business Media. This book was released on 2012-11-09 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
Book Synopsis Calculus Without Limits by : David McMahon
Download or read book Calculus Without Limits written by David McMahon and published by . This book was released on 2009-08-24 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus without limits uses an innovative approach to teaching calculus by showing you all the tricks used to solve problems and pass exams. Each chapter is packed with examples solved in complete detail, followed by questions which reinforce learning and alert you to weak areas. Covers most aspects of first year calculus course and the AP exam, including:* Limits* Derivatives* Max-Min problems* Definite and Indefinite Integrals* Integration by Parts* Trig substitution, integration by partial fractions* Integration of trig, exponential and log functions* Indeterminate forms and L'Hopitals rule* An introduction to differential equations* Improper integrationPerfect for self-study, to help you get through first year calculus, or to prepare for the AP Calculus exam. Written in an informal style, this easy to understand yet information packed guide can help anyone learn calculus.
Book Synopsis The Calculus Derived Without Infinitesimals Or Limiting by : Kenneth Phillips
Download or read book The Calculus Derived Without Infinitesimals Or Limiting written by Kenneth Phillips and published by . This book was released on 1997-01-01 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculus Without Tears - Nature's Favorite Functions by : William Davis Flannery
Download or read book Calculus Without Tears - Nature's Favorite Functions written by William Davis Flannery and published by . This book was released on 2006 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Calculus Derived Without Limiting Values by : Kenneth Phillips
Download or read book The Calculus Derived Without Limiting Values written by Kenneth Phillips and published by . This book was released on 1992-01-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Investigations on a Calculus Without Contractions by : Daniel Mey
Download or read book Investigations on a Calculus Without Contractions written by Daniel Mey and published by . This book was released on 1992 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis CALCULUS MADE EASY. by : SILVANUS P. THOMPSON
Download or read book CALCULUS MADE EASY. written by SILVANUS P. THOMPSON and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus written by Dale Varberg and published by Prentice Hall. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear and Concise. Varberg focuses on the most critical concepts. This popular calculus text remains the shortest mainstream calculus book available -- yet covers all relevant material needed by, and appropriate to, the study of calculus at this level. It's conciseness and clarity helps you focus on, and understand, critical concepts in calculus without them getting bogged down and lost in excessive and unnecessary detail. It is accurate, without being excessively rigorous, up-to-date without being faddish.
Book Synopsis Mathematics Without Boundaries by : Themistocles M. Rassias
Download or read book Mathematics Without Boundaries written by Themistocles M. Rassias and published by Springer. This book was released on 2014-09-17 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the latest information.
Download or read book Calculus written by Dale E. Varberg and published by . This book was released on 2007 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for freshman/sophomore-level courses treating calculus of both one and several variables, this work helps students focus on, and understand vital concepts in calculus. It makes use of computing technology, graphics, and applications, and is useful for instructors.
Book Synopsis Calculus with Differential Equations by : Dale E. Varberg
Download or read book Calculus with Differential Equations written by Dale E. Varberg and published by Pearson College Division. This book was released on 2006-04 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: For freshman/sophomore-level courses treating calculus of both one and several variables with additional material on differential equations. Clear and Concise! Varberg focuses on the most critical concepts freeing you to teach the way you want! This popular calculus text remains the shortest mainstream calculus book available -- yet covers all the material needed by, and at an appropriate level for, students in engineering, science, and mathematics. It's conciseness and clarity helps students focus on, and understand, critical concepts in calculus without them getting bogged down and lost in excessive and unnecessary detail. It is accurate, without being excessively rigorous, up-to-date without being faddish. The authors make effective use of computing technology, graphics, and applications. Ideal for instructors who want a no-nonsense, concisely written treatment.
Book Synopsis Finite Mathematics and Applied Calculus by : Stefan Waner
Download or read book Finite Mathematics and Applied Calculus written by Stefan Waner and published by . This book was released on 2022-10-17 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus written by Alex Himonas and published by Wiley. This book was released on 2002-11-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively, informal applied calculus text?ideal for students in business, economics, life sciences, social sciences, and liberal arts?speaks directly to the student. In a clear, conversational style, the authors focus on key themes without bogging students down in peripheral detail. Well-chosen real-life examples keep student interest high and motivate students to apply the mathematics they are learning. The text is carefully structured while remaining interesting, clear, and relevant. This text is available in two versions: a brief version suitable for a one-semester course and a full version for a two-semester course.
