Математический анализ

Приведены все необходимые примеры решения типовых задач по теме. Содержание: Теоретические вопросы -Понятие функции -Способы задания функции -Сложные функции -Обратные функции -Монотонно возрастающие и убывающие функции -Четные и нечетные функции -Периодические функции -Ограниченные и неограниченные функции -Системы координат -Элементарные функции и их графики Справочный материал Указания к выполнению типового расчета ОмГТУ 2002, - 48 с.

Издательство «Едиториал УРСС». 216 стр. Книга отличается краткостью и прозрачностью изложения, вплоть до объяснений "на пальцах". Значительное внимание уделяется мотивации результатов и укрупненному видению. В первой части дается обширный материал стандартных курсов математического анализа. Во второй, "необязательной", части излагаются - в стиле обзоров и очерков - примыкающие к анализу предметы: аналитические функции, топология и неподвижные...

Учебное пособие соответствует государственному образовательному стандарту дисциплины Высшая математика для технических специальностей вузов. Работа представляет собой курс интегрального исчисления функции одной переменной, начиная с понятия неопределенного интеграла и заканчивая приложениями и методами приближенного вычисления определенного интеграла. Рассмотрены основные теоремы математического анализа, даны примеры с решениями и задания для сам...

Учебные карты. Ч. 2. Магнитогорск: МГТУ, 2003. 33с. В настоящем издании дан комплект учебных карт к главам программы по дисциплине "Высшая математика", которые изучаются во втором и третьем семестрах. Учебные карты содержат весь существенный материал, составляющий ядро дисциплины. Таблица производных. Таблица интегралов. Методы интегрирования. Интегралы, содержащие квадратный трехчлен. Интегралы от рациональных функций. Интегралы, содержащие триг...

Том 2: ряды, функции векторного аргумента. Ряды. Числовые ряды. Признаки сходимости знакопостоянных рядов. Признаки сходимости знакопеременных рядов. Действия над рядами. Функциональные последовательности и ряды. Свойства равномерно сходящихся функциональных последовательностей и рядов. Степенные ряды. Ряды Фурье. Суммирование рядов. Вычисление определенных интегралов с помощью рядов. Дифференциальное исчисление функций векторного. аргумента. Пр...

В томе 3 рассматриваются интегралы, зависящие от параметра, кратные и криволинейные интегралы, а также элементы векторного анализа. Справочное пособие по высшей математике. Интегралы, зависящие от параметра. Собственные интегралы, зависящие от параметра. Несобственные интегралы, зависящие от параметра. Равномерная сходимость интегралов. Дифференцирование и интегрирование несобственных интегралов под знаком интеграла. Эйлеровы интегралы. Интеграл...

Математический анализ. Определенный интеграл. Числовые ряды. Несобственные интегралы: Учебное пособие. 2009 год. Учебное пособие состоит из трех глав. В первой главе излагается теория интеграла Римана, включая его геометрические приложения. Вторая глава посвящена изучению сходимости числовых рядов. Третья глава посвящена рассмотрению несобственных интегралов. Отдельный раздел посвящен историческим сведениям.

Prentice-Hall, 2009. - 352 pages. For the three-semester calculus course. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear, coherent, and readable fo...

Pearson, 2009. - 592 pages. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear, coherent, and readable form, Calculus: Several Variables makes student...

Pearson, 2009. - 688 pages. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear, coherent, and readable form, Calculus: Single Variable makes student co...

Pearson-Canada, 2009. - 352 pages. For the three-semester calculus course. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear, coherent, and readable f...

McGraw-Hill, 2008. - 552 pages. The purpose of this book is to help students understand and use the calculus. Everything has been aimed toward making this easier, especially for students with limited background in mathematics or for readers who have forgotten their earlier training in mathematics. The topics covered include all the material of standard courses in elementary and intermediate calculus. The direct and concise exposition typical of...

Academic Publishers, 2006. - 205 pages. The book has been written in accordance with the syllabus of Mathematical Analysisment for students in undergraduate course of study in Universities. This will, cater to the needs of students who have taken up advance course in Mathematics in undergraduate level. Students will find the book helpful in as much as theories have been dealt with fully and adequately examplified at appropriate places. Numerous...

Princeton University Press, 2007. - 752 Pages. I used Adrian Banner's The Calculus Lifesaver as the sole textbook for an intensive, three-week summer Calculus I course for high-school students. I chose this book for several reasons, among them its conversational expository style, its wealth of worked-out examples, and its price. This book is designed to supplement any standard calculus textbook, thus my students will be able to use it again when...

IEEE Press, 2003. - 320 pages. 2nd Edition Everything you need to know-basic essential concepts-about calculus For anyone looking for a readable alternative to the usual unwieldy calculus text, here's a concise, no-nonsense approach to learning calculus. Following up on the highly popular first edition of Understanding Calculus, Professor H. S. Bear offers an expanded, improved edition that will serve the needs of every mathematics and enginee...

Brooks Cole, 2008. - 896 pages. 5 edition This text for the one- or two-semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. Many applications are financial or business related, but many applications in this text cover general-interest topics as well, including the growing population of Africa, the composition of the Supreme Court, water sh...

Brooks Cole, 2008. - 589 pages. 5th Edition This text for the one semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. Many applications are financial or business related, but many applications in this text cover general-interest topics as well, including the growing population of Africa, the composition of the Supreme Court, water shortag...

Addison Wesley, 2011. - 696 pages. 10th Edition Calculus and Its Applications, Tenth Edition, 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, econom...

Wiley, 2011. - 832 pages. Blank and Krantz's Calculus 2e brings together time-tested methods and innovative thinking to address the needs of today's students, who come from a wide range of backgrounds and look ahead to a variety of futures. Using meaningful examples, credible applications, and incisive technology, Blank and Krantz's Calculus 2e strives to empower students, enhance their critical thinking skills, and equip them with the knowledg...

N.-Y., Dover Publications, Inc., 2000. - 611p. Монография посвящена применению рядов Фурье и полиномов Чебышева и разложений по другим функциям для решения задач с граничными условиями, задач на собственные значения, зависящих от времени и т.п. Для научных работников и аспирантов в области математического анализа.

W.H. Freeman, 2007. - 741 pages. The Student Solutions Manual to accompany Rogawski's Single Variable Calculus offers worked-out solutions to all odd-numbered exercises in the text. Chapter 1 Precalculus review. Real Numbers, Functions, and Graphs. Linear and Quadratic Functions. The Basic Classes of Functions. Trigonometric Functions. Technology: Calculators and Computers. Chapter Review Exercises. Chapter 2 Limits. Limits, Rates of Change, and...

W.H. Freeman and Company, 2012. - 810 pages. Chapter 1 Precalculus review. Real Numbers, Functions, and Graphs. Linear and Quadratic Functions. The Basic Classes of Functions. Trigonometric Functions. Technology: Calculators and Computers. Chapter Review Exercises. Chapter 2 Limits. Limits, Rates of Change, and Tangent Lines. Limits: A Numerical and Graphical Approach. Basic Limit Laws. Limits and Continuity. Evaluating Limits Algebraically. Trig...

Author: CK-12 Foundation, 2010. - 548 pages. CK-12 Foundation’s Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.

Springer, 2009. - 516 Pages. This new approach to real analysis stresses the use of the subject in applications, by showing how the principles and theory of real analysis can be applied in a variety of settings in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more intensive work in each topic through these applications and their accompanying...

Prentice Hall, 2001. - 624 pages. Using a progressive but flexible format, this book contains a series of independent chapters that show how the principles and theory of real analysis can be applied in a variety of settings—in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more intensive work in each topic through these applications and their...

BiblioBazaar, 2009 (rep.1896). - 324 pages. First published in 1896, Macmillan and co. (London, New York). The present volume is intended to form a sound introduction to a study of the Integral Calculus, suitable for a student beginning the subject. Like its companion, the 'Differential Calculus for Beginners, it does not therefore aim at completeness, but rather at the omission of all portions of the subject which are usually regarded as best l...

Brooks Cole, 2005. - 608 Pages. Easily master the fundamental concepts of mathematical analysis with "Advanced Calculus". Presented in a clear and simple way, this advanced caluclus text leads you to a precise understanding of the subject by providing you with the tools you need to succeed. A wide variety of exercises helps you gain a genuine understanding of the material and examples demonstrate the significance of what you learn. Emphasizing t...

Dover Publications, 1972. - 703 pages. This book is designed to serve as a basic but full introduction to the field of differential and integral calculus. It is a fine textbook for a two or three-semester course, especially as it contains review material on trigonometric, exponential and logarithmic fUnctions and highlights of plane and solid analytic geometry-prerequisites which may not have been previously covered by the student. It is equally...