Calculus and mathematical analysis

This textbook is designed as a guide for students of mathematical economics, with the aim of providing them with a firm foundation for further studies in economics.

This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations.

A concise textbook on complex analysis for undergraduate and graduate students, this book is written from the viewpoint of modern mathematics: the Bar {Partial}-equation, differential geometry, Lie groups, all the traditional material on complex analysis is included.

This volume is an introductory text in several complex variables, using methods of integral representations and Hilbert space theory.

This book is an ideal text for advanced undergraduate students and graduate students with an interest in the qualitative theory of ordinary differential equations and dynamical systems.

In recent years significant applications of systems and control theory have been witnessed in diversed areas such as physical sciences, social sciences, engineering, management and finance.

This is a textbook for a first course in functions of complex variable, assuming a knowledge of freshman calculus.

This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense.

This is a rigorous introduction to the theory of complex functions of one complex variable.

This collection of counter-examples highlights the theory of differential equations and related topics which is now playing an enormously important role in the area of science, engineering and mathematics.

This book provides an introduction to matrix theory and aims to provide a clear and concise exposition of the basic ideas, results and techniques in the subject.

This book presents the arithmetic and metrical theory of regular continued fractions and is intended to be a modern version of A.

The student of calculus is entitled to ask what calculus is and what it can be used for.

This book is intended for those having only a moderate background in mathematics, who need to increase their mathematical knowledge for development in their areas of work and to read the related mathematical literature.

This important book introduces perturbation and qualitative methods for differential equations in terms understandable to students with only a basic knowledge of calculus and ordinary linear differential equations.

This book provides an introduction to those parts of analysis that are most useful in applications for graduate students.

This book is a self-contained introduction to the theory of periodic, progressive, permanent waves on the surface of incompressible inviscid fluid.

This book provides a full and clear account of the essentials of calculus, presented in an engaging style that is both readable and mathematically precise.

This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations.

Many books on dynamics start with a discussion of systems with one or two degrees of freedom and then turn to the generalization to the case of many degrees of freedom.

This textbook presents the foundations of tensor calculus and the elements of tensor analysis.

This textbook provides a calculus-based introduction to economics.

The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds.

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces.

As an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is ideal for both graduate and undergraduate mathematics students.

This book provides an introduction to elliptic and parabolic equations.

Dimensional analysis is a magical way of finding useful results with almost no effort.

This unique book provides a collection of more than 200 mathematical problems and their detailed solutions, which contain very useful tips and skills in real analysis.

Metrics, Norms and Integrals is a textbook on contemporary analysis based on the author's lectures given at the University of Melbourne for over two decades.

Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions.

This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration.

This textbook introduces the theory of complex variables at undergraduate level.

This is a book on single variable calculus including most of the important applications of calculus.

This is a book on many variable calculus.

This Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering.

This book presents a collection of state of the art research on GPU Computing and Application.

This book gathers a selection of peer-reviewed papers presented at the 10th International Conference on Fracture Fatigue and Wear (FFW 2022), held  in the city of Ghent, Belgium, on August 2-3, 2022.

This book systematically analyses the latest insights into night vision imaging processing and perceptual understanding as well as related theories and methods.

This book belongs to the subject of control and systems theory.

This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis.

This book provides analytic tools to describe local and global behavior of solutions to Ito-stochastic differential equations with non-degenerate Sobolev diffusion coefficients and locally integrable drift.

This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction.

This book gathers a selection of peer-reviewed papers presented at the 3rd International Conference on Experimental and Computational Mechanics in Engineering (ICECME 2021), held as a virtual conference and organized by Universitas Syiah Kuala, Banda Aceh, Indonesia, on October 11-12, 2021.

This book gives many helps for students of technical colleges who have had usual mathematical training.

This book includes a collection of extended papers based on presentations given during the SIMHYDRO 2021 conference, held in Sophia Antipolis in June 2021 with the support of French Hydrotechnic Society (SHF).

This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels.

This book belongs to the subject of control and systems theory.

The book serves as a primary textbook of partial differential equations (PDEs), with due attention to their importance to various physical and engineering phenomena.

Machine learning heavily relies on optimization algorithms to solve its learning models.