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An Introduction to the Mathematics of Money

An Introduction to the Mathematics of Money PDF Author: David Lovelock
Publisher: Springer Science & Business Media
ISBN: 0387344322
Category : Mathematics
Languages : en
Pages : 297

Book Description
This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented. The student is introduced to elements of saving and investing that are of life-long practical use. These include savings and checking accounts, certificates of deposit, student loans, credit cards, mortgages, buying and selling bonds, and buying and selling stocks. The book is self contained and accessible. The authors follow a systematic pattern for each chapter including a variety of examples and exercises ensuring that the student deals with realities, rather than theoretical idealizations. It is suitable for courses in mathematics, investing, banking, financial engineering, and related topics.

An Introduction to the Mathematics of Money

An Introduction to the Mathematics of Money PDF Author: David Lovelock
Publisher: Springer Science & Business Media
ISBN: 0387344322
Category : Mathematics
Languages : en
Pages : 297

Book Description
This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented. The student is introduced to elements of saving and investing that are of life-long practical use. These include savings and checking accounts, certificates of deposit, student loans, credit cards, mortgages, buying and selling bonds, and buying and selling stocks. The book is self contained and accessible. The authors follow a systematic pattern for each chapter including a variety of examples and exercises ensuring that the student deals with realities, rather than theoretical idealizations. It is suitable for courses in mathematics, investing, banking, financial engineering, and related topics.

Mathematical Methods and Quantum Mathematics for Economics and Finance

Mathematical Methods and Quantum Mathematics for Economics and Finance PDF Author: Belal Ehsan Baaquie
Publisher: Springer Nature
ISBN: 9811566119
Category : Business & Economics
Languages : en
Pages : 439

Book Description
Given the rapid pace of development in economics and finance, a concise and up-to-date introduction to mathematical methods has become a prerequisite for all graduate students, even those not specializing in quantitative finance. This book offers an introductory text on mathematical methods for graduate students of economics and finance–and leading to the more advanced subject of quantum mathematics. The content is divided into five major sections: mathematical methods are covered in the first four sections, and can be taught in one semester. The book begins by focusing on the core subjects of linear algebra and calculus, before moving on to the more advanced topics of probability theory and stochastic calculus. Detailed derivations of the Black-Scholes and Merton equations are provided – in order to clarify the mathematical underpinnings of stochastic calculus. Each chapter of the first four sections includes a problem set, chiefly drawn from economics and finance. In turn, section five addresses quantum mathematics. The mathematical topics covered in the first four sections are sufficient for the study of quantum mathematics; Black-Scholes option theory and Merton’s theory of corporate debt are among topics analyzed using quantum mathematics.

Adaptive Methods of Computing Mathematics and Mechanics

Adaptive Methods of Computing Mathematics and Mechanics PDF Author: Dmitrij G. Arsen'ev
Publisher: World Scientific
ISBN: 9789810235017
Category : Mathematics
Languages : en
Pages : 440

Book Description
This book describes adaptive methods of statistical numerical analysis using evaluation of integrals, solution of integral equations, boundary value problems of the theory of elasticity and heat conduction as examples. The results and approaches provided in this book are different from those available in the literature as detailed descriptions of the mechanisms of adaptation of statistical evaluation procedures, which accelerate their convergence, are given.

Applied Mathematics for Environmental Problems

Applied Mathematics for Environmental Problems PDF Author: María Isabel Asensio
Publisher: Springer Nature
ISBN: 3030617955
Category : Mathematics
Languages : en
Pages : 84

Book Description
This book contains some contributions presented at the Applied Mathematics for Environmental Problems minisymposium during the International Congress on Industrial and Applied Mathematics (ICIAM) held July 15-19, 2019 in Valencia, Spain. The first paper addresses a simplified physical wildfire spread model, based on partial differential equations solved with finite element methods and integrated into a GIS to provide a useful and efficient tool. The second paper focuses on one of the causes of the unpredictable behavior of wildfire, fire-spotting, through a statistical approach. The third paper addresses low -level wind shear which represents one of the most relevant hazards during aircraft takeoff and landing. It presents an experimental wind shear alert system that is based on predicting wind velocities obtained from the Harmonie-Arome model. The last paper addresses the environmental impact of oil reservoirs. It presents high-order hybridizable discontinuous Galerkin formulation combined with high-order diagonally implicit Runge-Kutta schemes to solve one-phase and two-phase flow problems through porous media. All the contributions collected in this volume are interesting examples of how mathematics and numerical modelling are effective tools in the field of environmental problems.

V. Mathematics and the age of the earth. VI. Pure diffusion of electric displacement. Appendix C: Rational units. VII. Electromagnetic waves and generalised differentiation. VIII. Generalised differentiation and divergent series. Appendices: D. On compressional electric or magnetic waves. E. Dispersion. F. On the transformation of optical wave surfaces by homogeneous strain. G. Note of the motion of a charged body at a speed equal to or greater than that of light. H.Note on electrical waves in sea water. I. Note on the attenuation of Hertzian waves along wires.-v. 3. IX. Waves from moving sources. Appendix J: Note on the size and inertia of electrons. Appendix K. Vector analysis. X. Waves in the ether

V. Mathematics and the age of the earth. VI. Pure diffusion of electric displacement. Appendix C: Rational units. VII. Electromagnetic waves and generalised differentiation. VIII. Generalised differentiation and divergent series. Appendices: D. On compressional electric or magnetic waves. E. Dispersion. F. On the transformation of optical wave surfaces by homogeneous strain. G. Note of the motion of a charged body at a speed equal to or greater than that of light. H.Note on electrical waves in sea water. I. Note on the attenuation of Hertzian waves along wires.-v. 3. IX. Waves from moving sources. Appendix J: Note on the size and inertia of electrons. Appendix K. Vector analysis. X. Waves in the ether PDF Author: Oliver Heaviside
Publisher:
ISBN:
Category : Earth
Languages : en
Pages : 578

Book Description


Mathematics Inspired by Biology

Mathematics Inspired by Biology PDF Author: O. Diekmann
Publisher: Springer
ISBN: 3540481702
Category : Mathematics
Languages : en
Pages : 274

Book Description
The summer school on Mathematics inspired by Biology was held at Martina Franca, Apulia, Italy in 1997. This volume presents five series of six lectures each. The common theme is the role of structure in shaping transient and ultimate dynamics. But the type of structure ranges from spatial (hadeler and maini in the deterministic setting, Durrett in the stochastic setting) to physiological (Diekmann) and order (Smith). Each contribution sketches the present state of affairs while, by including some wishful thinking, pointing at open problems that deserve attention.

Canadian Journal of Mathematics

Canadian Journal of Mathematics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 164

Book Description


Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: Michiel Hazewinkel
Publisher: Springer
ISBN: 9400959834
Category : Mathematics
Languages : en
Pages : 732

Book Description


Computation and Applied Mathematics

Computation and Applied Mathematics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 124

Book Description


Canadian Journal of Mathematics

Canadian Journal of Mathematics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 194

Book Description