Algebraic Approximation

1.

出版日：2011/11/15 作者：Jorge Bustamante 出版社：Springer Verlag 裝訂：平裝

This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts conc

優惠價： 1 2998

無庫存

2.

Mathematics of Approximation

出版日：2012/07/31 作者：Johan De Villiers 出版社：Springer Verlag 裝訂：精裝

The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design a

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Introduction to Banach Spaces ─ Analysis and Probability

75 折

3.

Introduction to Banach Spaces ─ Analysis and Probability

出版日：2017/11/30 作者：Daniel Li 出版社：Cambridge Univ Pr 裝訂：精裝

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

優惠:Cambridge 書展優惠價： 75 3850

庫存：1

4.

A Geometry of Approximation ─ Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns

出版日：2008/12/24 作者：Piero Pagliani; Mihir Chakraborty 出版社：Springer Verlag 裝訂：精裝

'A Geometry of Approximation' addresses Rough Set Theory, a field of interdisciplinary research first proposed by Zdzislaw Pawlak in 1982, and focuses mainly on its logic-algebraic interpretation. The

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90 折

5.

Approximation by Algebraic Numbers

出版日：2007/12/20 作者：Yann Bugeaud 出版社：Cambridge Univ Pr 裝訂：平裝

Algebraic numbers can approximate and classify any real number. Here, the author gathers together results about such approximations and classifications. Written for a broad audience, the book is accessible and self-contained, with complete and detailed proofs. Starting from continued fractions and Khintchine's theorem, Bugeaud introduces a variety of techniques, ranging from explicit constructions to metric number theory, including the theory of Hausdorff dimension. So armed, the reader is led to such celebrated advanced results as the proof of Mahler's conjecture on S-numbers, the Jarnik–Besicovitch theorem, and the existence of T-numbers. Brief consideration is given both to the p-adic and the formal power series cases. Thus the book can be used for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the rich and comprehensive list of more than 60

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90 折

6.

Approximation by Algebraic Numbers

出版日：2004/11/11 作者：Yann Bugeaud 出版社：Cambridge Univ Pr 裝訂：精裝

Algebraic numbers can approximate and classify any real number. Here, the author gathers together results about such approximations and classifications. Written for a broad audience, the book is accessible and self-contained, with complete and detailed proofs. Starting from continued fractions and Khintchine's theorem, Bugeaud introduces a variety of techniques, ranging from explicit constructions to metric number theory, including the theory of Hausdorff dimension. So armed, the reader is led to such celebrated advanced results as the proof of Mahler's conjecture on S-numbers, the Jarnik–Besicovitch theorem, and the existence of T-numbers. Brief consideration is given both to the p-adic and the formal power series cases. Thus the book can be used for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the rich and comprehensive list of more than 60

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90 折

7.

Number Theory and Algebraic Geometry

出版日：2004/01/26 作者：Miles Reid 出版社：Cambridge Univ Pr 裝訂：平裝

Sir Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume provides contemporary insight into several subjects in which Sir Peter's influence has been notable, and is dedicated to his 75th birthday. The opening section reviews some of his many remarkable contributions to mathematics and other fields. The remaining contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse principle, Shafarevich-Tate groups of elliptic curves and motives, Zagier's conjectures, descent and zero-cycles, Diophantine approximation, and Abelian and Fano varieties.

優惠價： 9 3451

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8.

Sputtering by Particle Bombardment ― Experiments and Computer Calculations from Threshold to Mev Energies

出版日：2007/09/03 作者：Rainer Behrisch (EDT); Wolfgang Eckstein (EDT) 出版社：Springer Verlag 裝訂：精裝

This book provides a long-needed survey of new results. Especially welcome is a new summary of the measured and calculated sputtering yields with an algebraic approximation formula for the energy and

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9.

Effective Computational Geometry for Curves And Surfaces

出版日：2007/01/30 作者：Jean-Daniel Boissonnat (EDT); Monique Teillaud (EDT) 出版社：Springer Verlag 裝訂：精裝

This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and

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10.

Approximation Theory and Algorithms for Data Analysis

出版日：2019/01/03 作者：Armin Iske 出版社：Springer Nature 裝訂：精裝

This textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing,

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90 折

11.

Multivariate Approximation

出版日：2018/07/31 作者：V. Temlyakov 出版社：Cambridge Univ Pr 裝訂：精裝

This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area.

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Recent Advances in Constructive Approximation Theory

90 折

12.

Recent Advances in Constructive Approximation Theory

出版日：2018/07/18 作者：Vijay Gupta; Themistocles M. Rassias; P. N. Agrawal; Ana Maria Acu 出版社：Springer Nature 裝訂：精裝

This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is trea

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13.

Sparse Approximation With Bases

出版日：2015/05/14 作者：Vladimir Temlyakov; Sergey Tikhonov (EDT) 出版社：Springer Verlag 裝訂：平裝

This book is the first one that gives a systematic presentation of recent fundamental results on greedy approximation with respect to bases. Greedy approximation is a very fresh area of research where

優惠價： 1 2000

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14.

Greedy Approximation

出版日：2011/10/31 作者：Vladimir Temlyakov 出版社：Cambridge Univ Pr 裝訂：精裝

This first book on greedy approximation gives a systematic presentation of the fundamental results. It also contains an introduction to two hot topics in numerical mathematics: learning theory and compressed sensing. Nonlinear approximation is becoming increasingly important, especially since two types are frequently employed in applications: adaptive methods are used in PDE solvers, while m-term approximation is used in image/signal/data processing, as well as in the design of neural networks. The fundamental question of nonlinear approximation is how to devise good constructive methods (algorithms) and recent results have established that greedy type algorithms may be the solution. The author has drawn on his own teaching experience to write a book ideally suited to graduate courses. The reader does not require a broad background to understand the material. Important open problems are included to give students and professionals alike ideas for further research.

優惠價： 9 3392

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Approximation by Multivariate Singular Integrals

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15.

Approximation by Multivariate Singular Integrals

出版日：2011/07/25 作者：George A. Anastassiou 出版社：Springer Verlag 裝訂：平裝

Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation proper

優惠價： 1 2498

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Rational Approximation of Real Functions

90 折

16.

Rational Approximation of Real Functions

出版日：2010/10/07 作者：P. P. Petrushev 出版社：Cambridge Univ Pr 裝訂：平裝

Originally published in 1987, this book is devoted to the approximation of real functions by real rational functions. These are, in many ways, a more convenient tool than polynomials, and interest in them was growing, especially since D. Newman's work in the mid-sixties. The authors aim at presenting the basic achievements of the subject and, for completeness, also discuss some topics from complex rational approximation. Certain classical and modern results from linear approximation theory and spline approximation are also included for comparative purposes. This book will be of value to anyone with an interest in approximation theory and numerical analysis.

優惠價： 9 2866

無庫存

Geometry and Interpolation of Curves and Surfaces

90 折

17.

Geometry and Interpolation of Curves and Surfaces

出版日：2010/09/02 作者：Robin J. Y. McLeod 出版社：Cambridge Univ Pr 裝訂：平裝

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many practical applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic sections. They then introduce projective co-ordinates as tools for dealing with higher order curves and singular points. They present many applications and concrete examples, including parabolic interpolation, geometric approximation, and the numerical solution of trajectory problems. In the final chapter they apply the basic theory to the construction of finite element basis functions and surf

優惠價： 9 2515

無庫存

90 折

18.

Exact Constants in Approximation Theory

出版日：2009/06/11 作者：N. Korneichuk 出版社：Cambridge Univ Pr 裝訂：平裝

This book is intended as a self-contained introduction for non-specialists, or as a reference work for experts, to the particular area of approximation theory that is concerned with exact constants. The results apply mainly to extremal problems in approximation theory, which in turn are closely related to numerical analysis and optimization. The book encompasses a wide range of questions and problems: best approximation by polynomials and splines; linear approximation methods, such as spline-approximation; optimal reconstruction of functions and linear functionals. Many of the results are based on deep facts from analysis and function theory, such as duality theory and comparison theorems; these are presented in chapters 1 and 3. In keeping with the author's intention to make the book as self-contained as possible, chapter 2 contains an introduction to polynomial and spline approximation. Chapters 4 to 7 apply the theory to specific classes of functions. The last chapter deals with n-w

優惠價： 9 2924

無庫存

19.

Numerical Linear Approximation in C

出版日：2008/06/13 作者：Nabih N. Abdelmalek; William A. Malek 出版社：Chapman & Hall 裝訂：精裝

Illustrating the relevance of linear approximation in a variety of fields, Numerical Linear Approximation in C presents a unique collection of linear approximation algorithms that can be used to analy

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90 折

20.

On L1-Approximation

出版日：2008/01/28 作者：Allan M. Pinkus 出版社：Cambridge Univ Pr 裝訂：平裝

This monograph is concerned with the qualitative theory of best L1-approximation from finite-dimensional subspaces. It presents a survey of recent research that extends 'classical' results concerned with best uniform approximation to the L1 case. The work is organized in such a way as to be useful for self-study or as a text for advanced courses. It begins with a basic introduction to the concepts of approximation theory before addressing one- or two-sided best approximation from finite-dimensional subspaces and approaches to the computation of these. At the end of each chapter is a series of exercises; these give the reader an opportunity to test understanding and also contain some theoretical digressions and extensions of the text.

優惠價： 9 2339

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21.

Frontiers in Interpolation And Approximation

出版日：2006/07/17 作者：N. K. Govil (EDT); H. N. Mhaskar; Ram N. Mohapatra; Zuhair Nashed; J. Szabados 出版社：Taylor & Francis 裝訂：精裝

Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Wri

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Fourier Analysis And Approximation Of Functions

90 折

22.

Fourier Analysis And Approximation Of Functions

出版日：2004/11/03 作者：Roald M. Trigub; Eduard S. Belinsky 出版社：Springer Verlag 裝訂：精裝

In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In

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滿額折

23.

Theory of Approximation

出版日：2004/01/26 作者：N. I. Akhiezer; Charles J. Hyman (TRN); N. I. Achieser 出版社：Dover Pubns 裝訂：精裝

A pioneer of many modern developments in approximation theory, Achieser begins this text with approximation problems in linear normalized spaces and the ideas of P. L. Tchebysheff. He then examines th

優惠價： 9 1710

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Approximation Theorems Of Mathematical Statistics

90 折

24.

Approximation Theorems Of Mathematical Statistics

出版日：2001/12/07 作者：Serfling 出版社：John Wiley & Sons Inc 裝訂：平裝

Approximation Theorems of Mathematical StatisticsThis convenient paperback edition makes a seminal text in statistics accessible to a new generation of students and practitioners. Approximation Theore

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Metric Diophantine Approximation on Manifolds

90 折

25.

Metric Diophantine Approximation on Manifolds

出版日：1999/10/14 作者：V. I. Bernik 出版社：Cambridge Univ Pr 裝訂：精裝

This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space, and its aim is to develop a coherent body of theory comparable with that which already exists for classical Diophantine approximation. In particular, this book deals with Khintchine-type theorems and with the Hausdorff dimension of the associated null sets. After setting out the necessary background material, the authors give a full discussion of Hausdorff dimension and its uses in Diophantine approximation. A wide range of techniques from the number theory arsenal are used to obtain the upper and lower bounds required, and this is an indication of the difficulty of some of the questions considered. The authors go on to consider briefly the p-adic case, and they conclude with a chapter on some applications of metric Diophantine approximation. All researchers with an interest in Diophantine approximation will welcome this book.

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90 折

26.

Geometry and Interpolation of Curves and Surfaces

出版日：1998/08/01 作者：Robin J. Y. McLeod 出版社：Cambridge Univ Pr 裝訂：精裝

This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many practical applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic sections. They then introduce projective co-ordinates as tools for dealing with higher order curves and singular points. They present many applications and concrete examples, including parabolic interpolation, geometric approximation, and the numerical solution of trajectory problems. In the final chapter they apply the basic theory to the construction of finite element basis functions and surf

若需訂購本書，請電洽客服 02-25006600[分機130、131]。

90 折

27.

Harmonic Approximation

出版日：1995/05/18 作者：Stephen J. Gardiner 出版社：Cambridge Univ Pr 裝訂：平裝

The subject of harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic account of these developments, beginning with classical results concerning uniform approximation on compact sets, and progressing through fusion techniques to deal with approximation on unbounded sets. All the time inspiration is drawn from holomorphic results such as the well-known theorems of Runge and Mergelyan. The final two chapters deal with wide-ranging and surprising applications to the Dirichlet problem, maximum principle, Radon transform and the construction of pathological harmonic functions. This book is aimed at graduate students and researchers who have some knowledge of subharmonic functions, or an interest in holomorphic approximation.

優惠價： 9 1988

無庫存

90 折

28.

Exact Constants in Approximation Theory

出版日：1991/06/06 作者：N. Korneichuk 出版社：Cambridge Univ Pr 裝訂：精裝

This book is intended as a self-contained introduction for non-specialists, or as a reference work for experts, to the particular area of approximation theory that is concerned with exact constants. The results apply mainly to extremal problems in approximation theory, which in turn are closely related to numerical analysis and optimization. The book encompasses a wide range of questions and problems: best approximation by polynomials and splines; linear approximation methods, such as spline-approximation; optimal reconstruction of functions and linear functionals. Many of the results are based on deep facts from analysis and function theory, such as duality theory and comparison theorems; these are presented in chapters 1 and 3. In keeping with the author's intention to make the book as self-contained as possible, chapter 2 contains an introduction to polynomial and spline approximation. Chapters 4 to 7 apply the theory to specific classes of functions. The last chapter deals with n-w

若需訂購本書，請電洽客服 02-25006600[分機130、131]。

90 折

29.

On L1-Approximation

出版日：1989/08/17 作者：Allan M. Pinkus 出版社：Cambridge Univ Pr 裝訂：精裝

This monograph is concerned with the qualitative theory of best L1-approximation from finite-dimensional subspaces. It presents a survey of recent research that extends 'classical' results concerned with best uniform approximation to the L1 case. The work is organized in such a way as to be useful for self-study or as a text for advanced courses. It begins with a basic introduction to the concepts of approximation theory before addressing one- or two-sided best approximation from finite-dimensional subspaces and approaches to the computation of these. At the end of each chapter is a series of exercises; these give the reader an opportunity to test understanding and also contain some theoretical digressions and extensions of the text.

若需訂購本書，請電洽客服 02-25006600[分機130、131]。

90 折

30.

Linear Algebraic Monoids

出版日：1988/08/25 作者：Mohan S. Putcha 出版社：Cambridge Univ Pr 裝訂：平裝

This book provides an introduction to the field of linear algebraic monoids. This subject represents a synthesis of ideas from the theory of algebraic groups, algebraic geometry, matrix theory and abstract semigroup theory. Since every representation of an algebraic group gives rise to an algebraic monoid, the objects of study do indeed arise naturally.

優惠價： 9 2456

無庫存

90 折

31.

Rational Approximation of Real Functions

出版日：1988/04/14 作者：P. P. Petrushev 出版社：Cambridge Univ Pr 裝訂：精裝

Originally published in 1987, this book is devoted to the approximation of real functions by real rational functions. These are, in many ways, a more convenient tool than polynomials, and interest in them was growing, especially since D. Newman's work in the mid-sixties. The authors aim at presenting the basic achievements of the subject and, for completeness, also discuss some topics from complex rational approximation. Certain classical and modern results from linear approximation theory and spline approximation are also included for comparative purposes. This book will be of value to anyone with an interest in approximation theory and numerical analysis.

若需訂購本書，請電洽客服 02-25006600[分機130、131]。

滿額折

32.

Introduction to Algebraic Geometry

出版日：2019/03/20 作者：Serge Lang 出版社：Dover Pubns 裝訂：平裝

Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study ca

優惠價： 9 511

無庫存

90 折

33.

Hyperbolic Cross Approximation

出版日：2018/11/13 作者：Dinh Dung; Vladimir Temlyakov; Tino Ullrich; Sergey Tikhonov (EDT) 出版社：Birkhauser 裝訂：平裝

This book provides a systematic survey of classical and recent results on hyperbolic cross approximation. Motivated by numerous applications, the last two decades have seen great success in studying m

優惠價： 9 2228

無庫存

Approximation With Positive Linear Operators and Linear Combinations

90 折

34.

Approximation With Positive Linear Operators and Linear Combinations

出版日：2017/07/07 作者：Vijay Gupta; Gancho Tachev 出版社：Springer Verlag 裝訂：精裝

This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results

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90 折

35.

Approximation Techniques for Engineers

出版日：2017/04/18 作者：Louis Komzsik 出版社：CRC Pr I Llc 裝訂：精裝

This second edition includes eleven new sections based on the approximation of matrix functions, deflating the solution space and improving the accuracy of approximate solutions, iterative solution of

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Progress in Approximation Theory and Applicable Complex Analysis ― In Memory of Q.i. Rahman

90 折

36.

Progress in Approximation Theory and Applicable Complex Analysis ― In Memory of Q.i. Rahman

出版日：2017/04/10 作者：Narendra Kumar Govil (EDT); Ram Mohapatra (EDT); Mohammed A. Qazi (EDT); Gerhard Schmeisser (EDT) 出版社：Springer Verlag 裝訂：精裝

Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension

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37.

Discrete Approximation Theory

出版日：2016/11/30 作者：George A. Anastassiou; Merve Kester 出版社：World Scientific Pub Co Inc 裝訂：精裝

In this monograph, we present the authors' recent work of the last seven years in Approximation Theory. Chapters are self-contained and can be read independently and advanced courses can be taught out

優惠價： 9 4529

無庫存

Discriminant Equations in Diophantine Number Theory

90 折

38.

Discriminant Equations in Diophantine Number Theory

出版日：2016/10/01 作者：Jan-Hendrik Evertse 出版社：Cambridge Univ Pr 裝訂：精裝

Discriminant equations are an important class of Diophantine equations with close ties to algebraic number theory, Diophantine approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications. It brings together many aspects, including effective results over number fields, effective results over finitely generated domains, estimates on the number of solutions, applications to algebraic integers of given discriminant, power integral bases, canonical number systems, root separation of polynomials and reduction of hyperelliptic curves. The authors' previous title, Unit Equations in Diophantine Number Theory, laid the groundwork by presenting important results that are used as tools in the present book. This material is briefly summarized in the introductory chapters along with the necessary basic algebra and algebraic number theory, making the book accessible to experts and young researchers alike.

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39.

Nonlinear Ordinary Differential Equations ― Analytical Approximation and Numerical Methods

出版日：2016/05/17 作者：Martin Hermann; Masoud Saravi 出版社：Springer Verlag 裝訂：精裝

The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely

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40.

Algebraic Geometry

出版日：2015/12/08 作者：Hastings 出版社：Princeton Univ Pr 裝訂：平裝

The description for this book, Algebraic Geometry, will be forthcoming.

優惠價： 9 1404

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