2nd Edition. — Springer New York, 2015. — 271 p. — (Undergraduate Texts in Mathematics) — ISBN: 9781493927111 This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal,...
Springer, 2021. — 523 p. — (Studies in Systems, Decision and Control, 362). — ISBN 978-3-030-71480-2. This book includes constructive approximation theory; it presents ordinary and fractional approximations by positive sublinear operators, and high order approximation by multivariate generalized Picard, Gauss–Weierstrass, Poisson–Cauchy and trigonometric singular integrals....
Springer, 2014. — 438 p. — (Applied and Numerical Harmonic Analysis). — ISBN: 081768378X. The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks...
Dover, 2006. — 608 pages. ISBN: 0486445488
A course in analysis dealing essentially with functions of a real variable, this text for upper-level undergraduate students introduces the basic concepts in their simplest setting and proceeds with numerous examples, theorems stated in a practical manner, and coherently expressed proofs. 1955 edition.
Birkhäuser, 2021. — 708 p. — (Progress in Nonlinear Differential Equations and Their Applications 96). — ISBN 978-1-0716-1512-6. The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics. By contrast, the study of manifold-valued Sobolev maps is relatively new. The incentive to explore these...
Springer, 2023. — 123 p. — (Synthesis Lectures on Mathematics & Statistics). — ISBN 978-3-031-31586-2. This book discusses the modern theory of Laplace eigenfunctions through the lens of a new tool called geodesic beams. The authors provide a brief introduction to the theory of Laplace eigenfunctions followed by an accessible treatment of geodesic beams and their applications...
Springer, 2021. - 596 p. - ISBN 978-3030651640. This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and...
Springer, 2021. — 488 p. — ISBN 978-3-030-72057-5. This volume originated in talks given in Cortona at the conference "Geometric aspects of harmonic analysis" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in...
Cambridge: Cambridge University Press, 2017. - 375 p. - (Cambridge Mathematical Textbooks). - ISBN: 1107173140. This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it...
Dover Publications, 1989. — 416 pages. — ISBN: 0486659739 This incisive text, directed to advanced undergraduate and graduate students in mathematics, physics and engineering, deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. 570...
3rd ed. — Springer-Verlag, 2014. — xiv, 257 p. — (Springer Undergraduate Mathematics Series). — ISBN: 978-1-4471-6418-0, 978-1-4471-6419-7. Multivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook has successfully followed this programme. It additionally provides a solid...
Springer International Publishing AG, 2018. — 204 p. — (Trends in Mathematics). — ISBN: 3319726390. This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions...
Springer, 2016. — 431 p. — ISBN10: 9811009120. This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and applications. All contributing authors...
Birkhauser/Springer, 2023. — 442 p. — ISBN 978-3-031-23712-6. Современное введение в математический анализ This textbook presents all the basics for the first two years of a course in mathematical analysis, from the natural numbers to Stokes-Cartan Theorem. The main novelty which distinguishes this book is the choice of introducing the Kurzweil-Henstock integral from the very...
CRC Press, 2025. — 343 p. — ISBN: 978-1-003-48023-5. Calculus for Business and Economics: An Example-Based Introduction is designed for first-year university students specializing in business and economics. This book is crafted in a clear, easy-to-read style, covering all the essential calculus-related topics that students are likely to encounter in their studies. With...
Dover Publications, 2007 (1971 edition). — 432 pages. ISBN: 0486457958
Intended for students who have already completed a one-year course in elementary calculus, this rigorous two-part treatment advances from functions of one variable to those of several variables. Topics include differentiation, multiple integrals, and line and surface integrals. Complete solutions to all...
Societa Eoitrice Esculapio, 2013. — 226 p. — ISBN: 8874886454 Deep comprehension of applied sciences requires a solid knowledge of Mathematical Analysis. For most of high level scientific research, the good understanding of Functional Analysis and weak solutions to differential equations is essential. This book aims to deal with the main topics that are necessary to achieve...
Chapman and Hall/CRC9, 2025. — 258 р. — (Advances in Applied Mathematics). — ISBN: 978-1-003-54602-3. Quantum calculus is the modern name for the investigation of calculus without limits. Quantum calculus, or q-calculus, began with F.H. Jackson in the early twentieth century, but this kind of calculus had already been worked out by renowned mathematicians Euler and Jacobi....
De Gruyter, 2021. — 423 p. — ISBN 10 3110700638, 13 978-3110700633. The series is devoted to the publication of high-level monographs and specialized graduate texts which cover classical and modern analysis, partial differential equations with natural connections to geometry and the interplays between these fields and their applications to mathematical physics. Editor-in-Chief...
Springer International Publishing, Switzerland, 2016. — 176 p. — ISBN10: 3319335715. This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity,...
CRC Press, 2025. — 306 p. — ISBN: 978-1-032-64247-5. This book covers contemporary topics in mathematical analysis and its applications and relevance in other areas of research. It provides a better understanding of methods, problems, and applications in mathematical analysis. It also covers applications and uses of operator theory, approximation theory, optimization, variable...
New York: Dover Publication, 1979. — 144 Pages. — ( Books on Mathematics)
ISBN: 0486428869, 0262080974
Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of the real line, and standard calculus...
Matthew Hirn, Shidong Li, Kasso A. Okoudjou, Sandra Saliani, Ozgur Yilmaz. - Birkhäuser, 2021. — 444 p. — ISBN 978-3-030-69636-8. John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. The chapters in this volume – compiled on the occasion of his 80th...
De Gruyter, 2024. — 299 p. — (Series in Nonlinear Analysis and Applications 43). — ISBN 9783111387802. The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves. This volume represents a unique blend of analytical and numerical methods complemented by the author's...
Springer, 2024. — 936 p. — ISBN-13: 978-3-031-30832-1. This book provides an introduction to real analysis, a fundamental topic that is an essential requirement in the study of mathematics. It deals with the concepts of infinity and limits, which are the cornerstones in the development of calculus. Beginning with some basic proof techniques and the notions of sets and...
Springer, 2022. — 63 p. — (essentials). — ISBN 9783658338169. Авторы объясняют преобразование Фурье и его технические приложения The authors explain the Fourier transform and its technical applications, especially in signal and system theory. Based on their many years of teaching experience, they aim at helping especially STEM (science, technology, engineering, and mathematics)...
Cesar Lopez Perez, 2016. — 288 p. — ISBN: 1523440023
Mathematica is a platform for scientific computing that helps you to work in virtually all areas of the experimental sciences and engineering. In particular, this software presents quite extensive capabilities and implements a large number of commands enabling you to efficiently handle problems involving Mathematical...
Zishka Publishing, Chris McMullen, 2020. — 365 p. — ISBN 978-1-941691-24-3. Эта рабочая тетрадь предназначена для помощи в практических занятиях This workbook is designed to help practice essential calculus techniques, especially the art of finding derivatives and performing integrals. Each chapter focuses on one main topic such as how to apply the chain rule or how to perform...
Springer, 2022. — 1139 p. — (Developments in Mathematics). — ISBN 978-3-031-13718-1 This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and...
Springer, 2023. — 1006 p. — (Developments in Mathematics). — ISBN 978-3-031-31561-9. This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary...
Springer, 2021. — 661 p. — (Springer Proceedings in Mathematics & Statistics, 344). — ISBN 978-981-33-4645-1. This book is a collection of selected papers presented at the International Conference on Mathematical Analysis and Computing (ICMAC 2019) held at Sri Sivasubramaniya Nadar College of Engineering, Chennai, India, from 23–24 December 2019. Having found its applications...
New Jersey, Canada: Wiley, 2016. — 402 p. — ISBN: 9781119015260. An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and...
Springer, 2022. — 386 p. — (HBA Lecture Notes in Mathematics). — ISBN 978-981-16-7246-0. This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology. It presents material from a mature mathematical perspective. The text is suitable for a two-semester graduate course in analysis and will help students prepare for a research...
2nd edition. — Springer, 2021. — 314 p. — ISBN 978-3-030-88637-0. The 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...
Chapman and Hall/CRC, 2020. — 217 p. — ISBN 9780367348397. This concise text is intended as an introductory course in measure and integration. It covers essentials of the subject, providing ample motivation for new concepts and theorems in the form of discussion and remarks, and with many worked-out examples. The novelty of Measure and Integration: A First Course is in its...
Narayanadash, 2014. — 262 p. — ASIN: B00MNAGU04 This is about Ordinary and Partial Differentiation, Mean Value Theorems,Taylor's Series, Orthogonal Coordinates taught in +2 level in CBSE, ICSE and various State Boards in India and fundamentals for IITJEE entrance exams.
Mineola, New York, USA: Dover Publications, Inc., 2020. — 80 p. — (Dover Books on Mathematics). — ISBN: 9780486843377. This book is purchased from Dover publishers website. I have uploaded the same here to share useful knowledge and for non-commercial use. Please purchase a copy from here https://store.doverpublications.com/ if you like to support the publisher after reading...
CRC Press, 2022. — 587 p. — ISBN 9780367768539. Basic Analysis V: Functional Analysis and Topology introduces graduate students in science to concepts from topology and functional analysis, both linear and nonlinear. It is the fifth book in a series designed to train interested readers how to think properly using mathematical abstractions, and how to use the tools of...
2nd Edition. — Springer, 2024. — 142 p. — ISBN 978-3-031-47483-5. This study guide is designed for students taking a Calculus II course. The textbook includes examples, questions, and practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. The material covered in the book includes...
2nd Edition. — Springer, 2024. — 142 p. — ISBN 978-3-031-47483-5. This study guide is designed for students taking a Calculus III course. The textbook includes examples, questions, and practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. The material covered in the book includes linear...
New York: Springer, 2018. — 932 p. New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to...
2nd ed. — Springer Science, 2013. — 422 p. — (Undergraduate Texts in Mathematics). — ISBN: 978-1-4614-6270-5, 978-1-4614-6271-2. For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics...
2nd edition. — World Scientific Publishing Company, 2021. — 444 p. — ISBN 978-9811233500. This book describes the theories and developments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between...
3rd Edition. — Hoboken, New Jersey: John Wiley & Sons, 2018. — 339 p. — ISBN: 1119357489, 9781119357483. The easy way to conquer calculus Calculus is hard-no doubt about it-and students often need help understanding or retaining the key concepts covered in class. Calculus Workbook For Dummies serves up the concept review and practice problems with an easy-to-follow, practical...
Chapman and Hall/CRC, 2024. — 310 p. — ISBN-13: 978‑1‑003‑51775‑7. This book presents the essential role of mathematical modelling and computational methods in representing physical phenomena mathematically, focusing on the significance of the I-function. Serving as a generalized form of special functions, particularly generalised hypergeometric functions, the I-function...
Dover Publications, Inc., 2008. — 384 p. — ISBN13: 978-0-486-46913-3. This text is an introductory course in real analysis, intended for students who have completed a calculus sequence. It is also designed to serve as preparation for advanced mathematics courses of many sorts. Though there are occasional references to it in exercises, linear algebra is not specifically a...
Independently published, 2021. — 536 p. — ISBN B089GQM3QD. Be introduced to over 850 exercises of detailed mathematical sciences – Polynomials, Equations, Inequations, Limits of Functions, Continuity of Functions, Derivative Functions, Study of Functions, Integral and application of mathematics in economics. Go in-depth with concise explanation of each exercise resolution and...
Sandeep Singh, Kalyan Chakraborty, Baljinder Kour, Sandeep Kaur. — Chapman and Hall/CRC, 2025. — 144 p. — ISBN: 978-1-032-63414-2. This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topology. It offers in-depth insights, theoretical developments, and practical applications, showcasing the richness and...
London, Menlo Park: W.A. Benjamin Inc., 1967. — 586 p. — (Addison Wesley World student series). Every aspect of this book was influenced by the desire to present calculus not merely as a prelude to but as the first real encounter with mathematics. Since the foundations of analysis provided the arena in which modern modes of mathematical thinking developed, calculus ought to be...
Publisher not specified, 2021. — 88 p. Have you ever been in Calculus class banging your head on the desk asking yourself: ”Yeah, but how the hell will this help me in the real world.” Well, friends, the goal of this book is to help answer that question and to alleviate the pains caused by Calculus and the concussions sustained on your desk… well maybe not the last one. In this...
Walter de Gruyter, 2020. — 312 p. — (De Gruyter STEM). — ISBN: 978-3110663754. This book focuses on solving practical problems in calculus with MatLAB. Descriptions and sketching of functions and sequences are introduced first, followed by the analytical solutions of limit, differentiation, integral and function approximation problems of univariate and multivariate functions....
2nd Edition. — Springer International Publishing AG, 2017. — 444 p. — (Graduate Texts in Mathematics 278) — ISBN: 978-3-319-64628-2. This text is an essentially self-contained treatment of material that is normally found in a first-year graduate course in real analysis. Although the presentation is based on a modern treatment of measure and integration, it has not lost sight of...
Walter de Gruyter, 2020. — 310 p. — (De Gruyter Textbook). — ISBN-13: 978-3110674439. This book is a concise yet complete calculus textbook covering all essential topics in multi-variable calculus, including geometry in three-dimensional space, partial derivatives, maximum/minimum, multiple integrals and vector calculus as well as a chapter for ODE. All the chapters are...
De Gruyter GmbH, 2018. — 345 p. — ISBN: 978-3-11-052785-8. The book is a comprehensive yet compressed entry-level introduction on single variable calculus, focusing on the concepts and applications of limits, continuity, derivative, definite integral, series, sequences and approximations. Chapters are arranged to outline the essence of each topic and to address learning...
De Gruyter, 2024. — 162 p. — (Advances in Analysis and Geometry, 11). — ISBN: 978-3-11-157904-7. This book is intended to provide a fast, interdisciplinary introduction to the basic results of p-adic analysis and its connections with mathematical physics and applications. The book revolves around three topics: (1) p-adic heat equations and ultradiffusion; (2) fundamental...
Мн.: Вышэйшая школа, 1987. — 176 с.: ил. Книга содержит основные положения математического анализа функций двух переменных в их геометрической интерпретации, а также типовые примеры. Она поможет читателю образно представить основные понятия математического анализа. Предназначена для студентов вузов и учащихся техникумов, изучающих математический анализ, а также для всех,...
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