||boek: Theory and Problems of Differential and Integral Calculus|including 1175 solved problems|Schaum's Outline Series

||door: Frank Jr. Ayres

||taal: en
||jaar: 1964
||druk: 2nd edition
||pag.: 345p
||opm.: paperback|used|format A4

||isbn: N/A
||code: 1:002525

This math book might be depressed(?) .oO it has too many problems

--- Over het boek (foto 1): Theory and Problems of Differential and Integral Calculus ---

Schaum's Outlines contain hundreds of solutions to problems covered in any college course. This guide, which can be used with any text book or can stand alone, contains a list of key definitions, a summary of major concepts, and step by step solutions.

[source: https--www.goodreads.com/book/show/2921293-theory-and-problems-of-differential-and-integral-calculus]

[2020-10-06]

This volume has the solid presentation that we expect from Schaum's.

There are also slightly more examples in polar coordinates than most calculus textbooks these days.

Michael [source: https--www.goodreads.com]

!description might be of another edition!

Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. 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 Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledgeCoverage of the most up-to-date developments in your course fieldIn-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! An enhanced ebook is now available with 30 videos of professors showing you exactly how to solve calculus problems! Select the Kindle Edition with Audio/Video from the available formats. Schaum's Outlines-Problem Solved.

[source: https--www.bol.com]

From the Back Cover

Students can gain a thorough understanding of differential and integral calculus with this powerful study tool. They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide more than104,000 copies were bought of the prior edition! includes problems and examples using graphing calculators.

Master calculus with Schaum's the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaum's!

If you don't have a lot of time but want to excel in class, this book helps you: brush up before tests; find answers fast; study quickly and more effectivley; get the big picture without spending hours poring over lengthy textbooks. Schaum's Outlines give you the information your teachers expect you to know in a handy and succinct format without overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill.

Compatible with any classroom text, Schaum's let you study at your own pace and remind you of all the important facts you need to remember fast! And Schaum's are so complete. Inside, you will find:

• 1103 problems, with step-by-step solutions
• New graphing calculator help, with practical problems
• Math review sections to help the under prepared
• Complete explanations of calculus concepts

If you want top grades and thorough understanding of calculus, this powerful study tool is the best tutor you can have!

[source: https--www.amazon.com]

Schaum's: Not just "Supplemental" [2022-12-21]

The parroting of Schaum's being strictly "supplemental" is tired at this point. I understand how internet telephone games work, but let's give it a rest. This book is excellent. Your average calculus course in the United States will use Stewart's Calculus. This book covers more material than presented in Stewart's Calculus. The rigor is comparable (Stewart puts the very few proofs in the back of the book anyway); however, the clarity of exposition is incomparable. A popular complain of Stewart's Calculus is its strange method of combining passages that go on for far too long, confusing wording, and random instances of handwaving. Stewart's Calculus is simply unclear at times, and this Schaum's treatment is much less confusing. This book explains thoroughly the concepts while also trimming the fat. The treatment is straight to the point and complete.

Stop saying that Schaum's should not be used as a primary source when in fact, it regularly beats the overpriced textbooks which students are forced to purchase.

Amazon User [source: https--www.amazon.com]

Essential supplement for any Calculus student [2005-11-18]

I first got acquainted with this particular Schaum's outline when I was a senior in high school back in 1975. It was an essential companion through my senior year and through all three semesters of calculus in college. Through its various revisions it has been one of the more valuable Schaum's outlines I have ever encountered, and I would highly recommend it to any calculus student whether you are doing fine with the material or not. If you are struggling, it acts as a study guide with clear explanations, examples, and figures. If you are OK with the material, it supplies plenty of interesting practice problems to prepare you for exams. If your precalculus is weak, the first eight chapters of the book act as an excellent mini review of that material. Chapters nine through 57 take you through the material you will find in a complete sequence of courses on calculus. Chapters 58 and 59 are additional material. Chapter 58 is a sort of applications chapter on masses of variable density, and chapter 59 is a very brief introduction to ordinary differential equations, which would be your next step past calculus in your journey in applied undergraduate mathematics. The only negative I can really speak of is that Chapter 53, on vector differentiation and integration, seems out of place in the book. There is just enough information presented to confuse the average reader. If you are interested in vector calculus, there is an entire excellent Schaum's outline dedicated to that one subject, and I suggest you not read Chapter 53 of this book and purchase the Schaum's outline of Vector Analysis, which goes into suitable detail on the subject. Another tip- after you pass calculus and even after you graduate keep this book around, particularly if you are an engineer. You will find yourself looking up concepts you have forgotten for years to come.

calvinnme [source: https--www.amazon.com]

Great Supplement [2006-05-26]

This outline will work best for those looking for a concise supplement to their course text. The strength of this outline is in the solved problems. The weakness is in the explanation of concepts. As advertised, the book contains over 1100 fully worked problems. These problems are indeed fully worked and looking over them can be of tremendous value if you are struggling with solving particular problems in your class. If you are having a tough time with the concepts rather than the problems of calculus I would not recommend this book. The explanations are kept to a bare minimum and tough topics like delta-epsilon proofs and Reimann Integrals are not explained in detail. For instance, this book will not try to justify why you can set delta equal to epsilon to complete your limit proof, it just tells you to do it (which is exactly what you need to do to solve the problem). In other words, this book will help you solve the problems you need to solve in order to pass your exams, but it will not necessarily help you understand why those solutions work. So please do not buy this thinking it will have fuller conceptual explanations. Its strength is in its fully solved problems.

Aaron Rutledge [source: https--www.amazon.com]

Indispensible if you want the "A"... [2002-08-18]

My instructor had a nervous breakdown about 1 month into an integral calculus class. He spent the rest of the semester discussing his personal problems during class, instead of teaching. He stopped giving tests and cancelled his office hours. We had a midterm, which I failed (with a 28/100), along with the rest of the class. My entire grade hinged on the final exam. I bought this book and spent the last half of the year using this book to teach me integral calculus. Two weeks before the final, the instructuor told the class that he was throwing out the midterm, and that our grade for the class would be based solely on our performance on the final exam.

I got a 96/100 on the final, and an "A" for the course. This book saved me. (This sounds ridiculous, I know...but it is absolutely true.)

Mean Mr. Mustard [source: https--www.amazon.com]

Not bad, but not the best [2017-09-24]

A nice book of problems if you need a hard copy. However, for anyone who would benefit from online access, I think that the 1001 Calc problems from Dummies is a better service, and it's approximately the same price.

MadMax [source: https--www.amazon.com]

A very good book for studying calculus [2009-12-05]

I was recommended to buy this book by a math tutor from my college. He said many students who used this book properly aced emams, so I bought it a couple of months ago. I found it was a wonderful supplemental book for studying calculus. There are plenty of examples for you to work on, covering materials from the fundamentals of calculus to more advanced, intro to vector calculus. It is of great importance to practice in order to master the subject of calculus. Therefore, if you are looking for any supplemental exercises to play with, just go for it, Schaum's Outline of Calculus!

X. LE [source: https--www.amazon.com]

CONTENTS:
Chapter 1 Variables and Functions
Chapter 2 Limits
Chapter 3 Continuity
Chapter 4 The Derivative
Chapter 5 Differentiations of Algebraic Functions
Chapter 6 Implicit Differentiation
Chapter 7 Tangents and Normals
Chapter 8 Maximum and Minimum Values
Chapter 9 Applied Problems in Maxima and Minima
Chapter 10 Rectilinear and Circular Motion
Chapter 11 Related Rates
Chapter 12 Differentiation of Trigonometric Functions
Chapter 13 Differentiation of Inverse Trigonometric Functions
Chapter 14 Differentiation of Exponential and Logarithmic Functions
Chapter 15 Differentiation of Hyperbolic Functions
Chapter 16 Parametric Representation of Curves
Chapter 17 Curvature
Chapter 18 Plane Vectors
Chapter 19 Curvilinear Motion
Chapter 20 Polar Coordinates
Chapter 21 The Law of the Mean
Chapter 22 Indeterminate Forms
Chapter 23 Differentials
Chapter 24 Curve Tracing
Chapter 25 Fundamental Integration Formulas
Chapter 26 Integration by Parts
Chapter 27 Trigonometric Integrals
Chapter 28 Trigonometric Substitutions
Chapter 29 Integration by Partial Fractions
Chapter 30 Miscellaneous Substitutions
Chapter 31 Integration of Hyperbolic Functions
Chapter 32 Applications of Indefinite Integrals
Chapter 33 The Definite Integral
Chapter 34 Plane Areas by Integration
Chapter 35 Volumes of Solids of Revolution
Chapter 36 Volumes of Solids with Known Cross Sections
Chapter 37 Centroids - Plane Areas and Solids of Revolution
Chapter 38 Moments of Inertia - Plane Areas and Solids of Revolution
Chapter 39 Fluid Pressure
Chapter 40 Work
Chapter 41 Length of Arc
Chapter 42 Area of Surface of Revolution
Chapter 43 Centroid and Moment of Inertia - Arcs and Surfaces of Revolution
Chapter 44 Plane Area and Centroid of Area - Polar Coordinates
Chapter 45 Length and Centroid of Arc, Area of Surface of Revolution, Polar Coordinates
Chapter 46 Improper Integrals
Chapter 47 Infinite Sequences and Series
Chapter 48 Tests for Convergence and Divergence of Positive Series
Chapter 49 Series with Negative Terms
Chapter 50 Computations with Series
Chapter 51 Power Series
Chapter 52 Series Expansion of Functions
Chapter 53 Maclaurin's and Taylor's Formulas with Remainders
Chapter 54 Computations Using Power Series
Chapter 55 Approximate Integration
Chapter 56 Partial Derivatives
Chapter 57 Total Differentials and Total Derivatives
Chapter 58 Implicit Functions
Chapter 59 Space Curves and Surfaces
Chapter 60 Directional Derivatives
Chapter 61 Space Vectors
Chapter 62 Vector Differentiation and Integration
Chapter 63 Double and Iterated Integrals
Chapter 64 Centroids and Moments of Inertia of Plane Areas - Double Integration
Chapter 65 Volume Under a Surface - Double Integration
Chapter 66 Are of Curve Surface - Double Integration
Chapter 67 Triple Integrals
Chapter 68 Masses of Variable Density
Chapter 69 Differential Equations
Chapter 70 Differential Equations of Order Two
Index.

EXCERPT:

Preface - The purpose of this book, as in the case of the first edition, is to provide the beginning student of elementary calculus with a collection of carefully solved representative problems. The book will also be found helpful to students of science and engineering who feel the need for a review of fundamental theory and problem work in the subject. Moreover, since this edition includes proofs of theorems, derivations of differentiation and integration formulas, and an ample supply of supplementary problems it may be used as a text for a formal course. The plan of the book is essentially that of the previous edition. Each chapter begins with statements of pertinent definitions, principles, and theorems.

[source: https--www.abebooks.com]

--- Over (foto 2): Frank Jr. Ayres ---

Frank Ayres, Jr. (10 December 1901, Rock Hall, Maryland - June 1994) was a mathematics professor, best known as an author for the popular Schaum's Outlines.

Biography

Ayres earned his Bachelor of Science degree from Washington College, Maryland and his master's and doctoral degrees from the University of Chicago. He taught during 1921-4 at Ogden College and another four years at Texas A&M before coming to Dickinson College in 1928. He was promoted to associate professor in June, 1935. In 1943 he was named the Susan Powers Hoffman Professor of Mathematics. From 1938 until his retirement in June, 1958, he served as chairman of the mathematics department. Ayres was also an instructor in the Army Air Corps program at the college, 1943-44, and authored Basic Mathematics of Aviation, which was adopted across the Air Corps training system. In all, he wrote seven textbooks. Along with his teaching, he also served as assistant registrar and registrar between 1941 and 1945.

Bibliography

1943 Basic Mathematics for Aviation (1943)

Schaum's Outline Series:

• Abstract Algebra, with Deborah Arangno, Lloyd R. Jaisingh
• Calculus, with Elliott Mendelson
• College Mathematics, with Philip Schmidt
• Theory and Problems of Differential Equations
• Theory and Problems of Differential and Integral Calculus; in Si Metric Units, J.C. Ault (Adapter)
• Theory And Problems of Mathematics of Finance
• Theory And Problems of Matrices
• Theory and Problems of Modern Algebra
• Theory and Problems of Plane and Spherical Trigonometry
• Theory and Problems of Projective Geometry
• Theory and Problems of Trigonometry, with Robert E. Moyer

[source: wikipedia]

Frank Ayres, Jr. was born on December 10, 1901 in Rock Hall, Maryland. He earned his bachelor of science degree from Washington College, Maryland and his master's and doctoral degrees from the University of Chicago.

He taught from 1921-24 at Ogden College and another four years at Texas A&M before coming to Dickinson in June 1928. He was promoted to associate professor in June, 1935. Along with his teaching, he also served as assistant registrar and registrar between 1941 and 1945.

Ayres was also an instructor in the Army Air Corps program at the College, 1943-44, and authored a book, Basic Mathematics of Aviation, which was adopted across the Air Corps training system. In all, he wrote seven textbooks. In 1943 he was named the Susan Powers Hoffman Professor of Mathematics. From 1938 until his retirement in June, 1958, he served as chairman of the mathematics department.

Outside of the classroom, Ayres played flute in the College Orchestra. His daughter, Margaret Ayres Jacobs, graduated from Dickinson with the class of 1951. He died in June, 1994.

[source: https--archives.dickinson.edu/people/frank-j-ayres-jr-1901-1994]

Frank Ayres (1901-1994)

Includes the names: Ayres F, F. Ayres, F Ayres Jr, FRANK AYERS, Frank Ayres, Jr Frank Ayres, Jr Ayres Frank, Frank Ayres jr, FRANK AYERS JR, Frank Jr. Ayers, Jr. Frank Ayres, Frank Ayres Jr., Ph.D. Frank Jr. Ayres, Jr. Frank Ayres, Ph.D., FRANK AYRES JR. PH. D.

• Schaum's Outline of Theory and Problems of Differential and Integral Calculus (1950)
• Schaum's Outline of Calculus (1963) - Author
• Schaum's Outline of Trigonometry (1954)
• Schaum's Outline of Theory and Problems of Differential Equations (1952)
• Schaum's Outline of Theory and Problems of Matrices (1962)
• Schaum's Outline of Modern Abstract Algebra (1965)
• Schaum's Outline of Abstract Algebra (1998)
• Schaum's Outline of College Algebra (2003)
• Schaum's Outlines: Mathematics of Finance (1963)
• Schaum's Easy Outline of Calculus (1999) - Author
• Schaum's Outline of First Year College Mathematics (1958)
• Schaum's Outlines: College Mathematics (1992)
• Schaum's Outline of Projective Geometry (1967)
• Schaum's Easy Outline of College Mathematics (2001)
• Differential and Integral Calculus (1964)
• Schaum's Outline of Differential and Integral Calculus [1st Edition] (1962)
• Calculus Crash Course
• Analyse (2002)
• Mathematics of Finance
• Théorie et applications du calcul différentiel et intégral
• Easy Outline of Trigonometry
• Differential- und Integralrechnung. 1170 ausführliche Lösungsbeispiele
• Collana Schaum teoria ed applicazioni. Matricir, 340 esercizi risolti
• Schaum's Outline of College Mathematics by Schmidt, Philip & Ayres, Frank [McGraw-Hill, 2003] (Paperback) 3rd Edition...
• Differential Equations Schaums Outline Series
• Equaçoes diferenciais
• Geometría Proyectiva
• Schaum's Outline of Trigonometry, 5th Edition (2012)
• Differential equations, theory and problems
• Matrices, teoría y problemas
• Matrici (1974)
• Teoría y problemas de geometría proyectiva
• Basic mathematics for aviation
• PLANE AND SPHERICAL TRIGONOMETRY BY FRANK AYRES, JR. (1954)

[source: https--www.librarything.com/author/ayresfrank]