{"title":"Calculus","description":"\u003cp\u003eCalculus stands at the core of advanced mathematics, specializing in the study of change, motion, and rates of variation. This subject encompasses essential concepts like limits, differentiation, integration, and the fundamental theorem that links these operations. Calculus is indispensable for learners preparing for higher-level mathematics, scientific applications, or analytic problem-solving.\u003c\/p\u003e\u003cp\u003eReaders looking for more targeted material within mathematics can use calculus as a jumping-off point for exploring specific subfields, such as multivariable analysis, differential equations, or applied mathematics. Consider which aspect of calculus—conceptual understanding, practical techniques, or theoretical exploration—best matches your academic or professional needs to make a more focused selection.\u003c\/p\u003e","products":[{"product_id":"calculus-new-approach-schools-starts-simple-algebra-9789819805440-new","title":"Calculus: New Approach for Schools Starts Simple Algebra","description":"\u003cp\u003eUnlock the mysteries of Calculus with a fresh approach rooted in simplicity and historical insight. This book reintroduces a nearly forgotten idea from Ren\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543609377058,"sku":"9789819805440-new","price":51.09,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789819805440.jpg?v=1776386301"},{"product_id":"calculus-new-approach-schools-starts-simple-algebra-9789819801978-new","title":"Calculus: New Approach for Schools Starts Simple Algebra","description":"\u003cp\u003eUnlock the mysteries of Calculus with a fresh approach rooted in simplicity and historical insight. This book reintroduces a nearly forgotten idea from Ren\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543609901346,"sku":"9789819801978-new","price":123.85,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789819801978.jpg?v=1776386318"},{"product_id":"fundamentals-multivariable-calculus-9789819800018-new","title":"Fundamentals of Multivariable Calculus","description":"\u003cp\u003eThis textbook is carefully designed as an early undergraduate introduction to the calculus of several real variables. The balanced coverage is devoted to limits, continuity, partial derivatives, extrema, the nabla operator, multiple integrals, line integrals, surface integrals, and the fundamental theorems of vector calculus.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eEngaging and accessible with detailed diagrams and copious worked examples, the presentation is well suited to students pursuing applied fields such as engineering. Multiple integration is motivated intuitively through the calculation of mass. The chapter-end problems provide both drill and challenge.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eOverall, the book should equip students with the knowledge and confidence needed for subsequent courses.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eAn appendix on hints renders the book suitable for self-study. Prerequisites are limited to single-variable calculus, linear algebra, and analytic geometry.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543611572514,"sku":"9789819800018-new","price":103.06,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789819800018.jpg?v=1776386412"},{"product_id":"first-course-integ-equa-2nd-ed-9789814675116-new","title":"First Course Integ Equa (2nd Ed)","description":"\u003cp\u003eThis second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations. It provides a comprehensive treatment of linear and nonlinear Fredholm and Volterra integral equations of the first and second kinds. The materials are presented in an accessible and straightforward manner to readers, particularly those from non-mathematics backgrounds. Numerous well-explained applications and examples as well as practical exercises are presented to guide readers through the text. Selected applications from mathematics, science and engineering are investigated by using the newly developed methods.\u003c\/p\u003e\u003cp\u003eThis volume consists of nine chapters, pedagogically organized, with six chapters devoted to linear integral equations, two chapters on nonlinear integral equations, and the last chapter on applications. It is intended for scholars and researchers, and can be used for advanced undergraduate and graduate students in applied mathematics, science and engineering.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543633101090,"sku":"9789814675116-new","price":92.67,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814675116.jpg?v=1776387403"},{"product_id":"what-calculus-simple-algebra-deep-analysis-9789814644488-new","title":"What Is Calculus?: From Simple Algebra to Deep Analysis","description":"\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that dominate the traditional introductions to the subject. This simple algebraic method is a modern version of an idea that goes back to Ren\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543642243362,"sku":"9789814644488-new","price":40.7,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814644488.jpg?v=1776387729"},{"product_id":"advanced-calculus-rev-ed-9789814583930-new","title":"Advanced Calculus (REV Ed)","description":"An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543662756130,"sku":"9789814583930-new","price":63.58,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814583930.jpg?v=1776388489"},{"product_id":"calculus-v2-9789814329705-new","title":"Calculus (V2)","description":"This is a book on many variable calculus. It is the second volume of a set of two. It includes proofs of all theorems presented, either in the text itself, or in an appendix. It also includes a sufficient introduction to linear algebra to allow the accurate presentation of many variable calculus.The use of elementary linear algebra in presenting the topics of multi- variable calculus is more extensive than usual in this book. It makes many of these topics easier to understand and remember. The book will prepare readers for more advanced math courses and also for courses in physical science.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543728029986,"sku":"9789814329705-new","price":51.1,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814329705.jpg?v=1776390625"},{"product_id":"concise-calculus-9789814291491-new","title":"Concise Calculus","description":"\u003cp\u003e \u003c\/p\u003e\u003cp\u003eMathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even further. Besides imparting knowledge to students from the Department of Mathematics, he has created and developed his method of teaching Calculus to help students from physics, engineering and other sciences disciplines understand Calculus faster and deeper in order to meet the needs of applications in their own fields.\u003c\/p\u003e\u003cp\u003eThis book is based on Professor Sheng Gong's 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543761551650,"sku":"9789814291491-new","price":61.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814291491.jpg?v=1776391605"},{"product_id":"integration-calculus-analysis-differential-equations-9789813275157-new","title":"Integration for Calculus, Analysis, \u0026 Differential Equations","description":"\u003cp\u003eThe book assists Calculus students to gain a better understanding and command of integration and its applications. It reaches to students in more advanced courses such as Multivariable Calculus, Differential Equations, and Analysis, where the ability to effectively integrate is essential for their success.\u003c\/p\u003e\u003cp\u003eKeeping the reader constantly focused on the three principal epistemological questions: \"\u003cem\u003eWhat for?\u003c\/em\u003e\", \"\u003cem\u003eWhy?\u003c\/em\u003e\", and \"\u003cem\u003eHow?\u003c\/em\u003e\", the book is designated as a supplementary instructional tool and consists of\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e9 Chapters treating the three kinds of integral: indefinite, definite, and improper. Also covering various aspects of integral calculus from abstract definitions and theorems (with complete proof whenever appropriate) through various integration techniques to applications, \u003c\/li\u003e\n\u003cli\u003e3 Appendices containing a table of basic integrals, reduction formulas, and basic identities of algebra and trigonometry.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eIt also contains\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e143 Examples, including 112 thoughtfully selected Problems with complete step-by-step solutions, the same problem occasionally solved in more than one way while encouraging the reader to find the most efficient integration path, and\u003c\/li\u003e\n\u003cli\u003e6 Exercises, 162 Practice Problems offered at the end of each chapter starting with Chapter 2 as well as 30 Mixed Integration Problems \"for dessert\", where the reader is expected to independently choose and implement the best possible integration approach.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eThe Answers to all the 192 Problems are provided in the Answer Key. The book will benefit undergraduates, advanced undergraduates, and members of the public with an interest in science and technology, helping them to master techniques of integration at the level expected in a calculus course.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543855038754,"sku":"9789813275157-new","price":40.69,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789813275157.jpg?v=1776392797"},{"product_id":"math-meth-natur-eng-2nd-ed-9789813202702-new","title":"Math Meth Natur \u0026 Eng ..(2nd Ed)","description":"\u003cp\u003eThis second edition provides a broad range of methods and concepts required for the analysis and solution of equations which arise in the modeling of phenomena in the natural, engineering, and applied mathematical sciences. It may be used productively by both undergraduate and graduate students, as well as others who wish to learn, understand, and apply these techniques. Detailed discussions are also given for several topics that are not usually included in standard textbooks at this level of presentation: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations and several perturbation procedures. Further, this second edition includes several new topics covering functional equations, the Lambert-W function, nonstandard sets of periodic functions, and the method of dominant balance. Each chapter contains a large number of worked examples and provides references to the appropriate books and literature.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543948525858,"sku":"9789813202702-new","price":144.64,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789813202702.jpg?v=1776395494"},{"product_id":"convex-analysis-general-vector-spaces-9789812380678-new","title":"Convex Analysis in General Vector Spaces","description":"The primary aim of this book is to present the conjugate and subdifferential calculus using the method of perturbation functions in order to obtain the most general results in this field. The secondary aim is to provide important applications of this calculus and of the properties of convex functions. Such applications are: the study of well-conditioned convex functions, uniformly convex and uniformly smooth convex functions, best approximation problems, characterizations of convexity, the study of the sets of weak sharp minima, well-behaved functions and the existence of global error bounds for convex inequalities, as well as the study of monotone multifunctions by using convex functions.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544086774050,"sku":"9789812380678-new","price":150.86,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789812380678.jpg?v=1776397986"},{"product_id":"direct-methods-calculus-var-9789812380432-new","title":"Direct Methods in the Calculus of Var...","description":"\u003cp\u003e\u003cem\u003e\"This book must be recommended both to beginners in variational calculus and to more confirmed specialists in regularity theory of elliptic problems. It will become a reference in the calculus of variations and it contains in one volume of a reasonable size a very clear presentation of deep results.\"\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eZentralblatt MATH\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cem\u003e\"It can be recommended for graduate courses or post-graduate courses in the calculus of variations, or as reference text.\"\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eStudia Universitatis Babes-Bolyai, Series Mathematica\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cem\u003e\"The exposition is always clear and self-contained ... therefore this book may serve well as a textbook for a graduate course on the subject. Each chapter is complemented with detailed historical notes and interesting results which may be difficult to find elsewhere.\"\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eMathematical Reviews\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order. While direct methods for the existence of solutions are well known and have been widely used in the last century, the regularity of the minima was always obtained by means of the Euler equation as a part of the general theory of partial differential equations. In this book, using the notion of the quasi-minimum introduced by Giaquinta and the author, the direct methods are extended to the regularity of the minima of functionals in the calculus of variations, and of solutions to partial differential equations. This unified treatment offers a substantial economy in the assumptions, and permits a deeper understanding of the nature of the regularity and singularities of the solutions. 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Educational software assumes a pivotal role in achieving this pedagogical goal.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe book outlines the author's methodology in utilizing educational software for developing and applying computer models, grounded in a thorough analysis of the subject matter. This approach is vividly illustrated through examples employing a non-profit authoring program (VisuMatica) provided with the book, enabling users to: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eVisualize formal mathematical concepts and their interrelations in theorems, \u003c\/li\u003e\n\u003cli\u003eEffortlessly explore and uncover features through a user-friendly interface, \u003c\/li\u003e\n\u003cli\u003eConstruct models of the studied material without the need for specialized syntax or programming skills.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThrough the guidance of this book, students will discover mathematics as clear, visible, friendly, and enjoyable.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe author exemplifies this approach by focusing on the functional line of mathematics, spanning from school basics to advanced university courses in higher mathematics. Importantly, the assimilated ideas and techniques are readily applicable to teaching and learning other areas of mathematics.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544106107170,"sku":"9789811290138-new","price":165.42,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811290138.jpg?v=1776398525"},{"product_id":"advances-fractional-dynamic-inequalities-time-scales-9789811275463-new","title":"Advances on Fractional Dynamic Inequalities on Time Scales","description":"\u003cp\u003eThis book is devoted on recent developments of linear and nonlinear fractional Riemann-Liouville and Caputo integral inequalities on time scales. The book is intended for the use in the field of fractional dynamic calculus on time scales and fractional dynamic equations on time scales. It is also suitable for graduate courses in the above fields, and contains ten chapters. The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques. The text material of this book is presented in a readable and mathematically solid format.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544133140770,"sku":"9789811275463-new","price":134.24,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811275463.jpg?v=1776399207"},{"product_id":"differential-calculus-9789811273896-new","title":"Differential Calculus","description":"\u003cp\u003eThis volume contains more than 900 problems in differential calculus, covering limits, continuity, derivatives, and their applications. The applications are comprised of a variety of approximations, growth and decay, optimization, curve sketching techniques, and analytical tools to investigate properties of parametrically given planar curves. The problems are sorted by topic, each opening with with a summary of the relevant mathematical notions and their properties. Through a careful selection of appropriate problems in each chapter, the book clearly communicates some of the big ideas and applications in calculus: the notion of a function, the notion of an infinitesimal, the notion of a differentiable function, and the notion of an approximation, among others. The book provides the answers to each problem, often with a detailed sketch of the solution process.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eWith about 260 true-false and multiple-choice questions, the book provides its users with an accessible way to assess and practice their understanding of calculus related facts and nuances. More than 180 figures are included to help readers to visualize properties of functions, illustrate word problems, depict solutions, and provide an extensive bank of polar curves.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe purpose of this problem collection is to serve as a supplementary learning resource for students who are studying university-level differential calculus. 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