工程科学中的应用分析 中外物理学精品书系

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工程科学中的应用分析 中外物理学精品书系

工程科学中的应用分析 中外物理学精品书系

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工程科学中的应用分析 中外物理学精品书系

工程科学中的应用分析 中外物理学精品书系

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编辑推荐《工程科学中的应用分析》是作者自1998年以来，先后7次在北京大学力学系和工学院开设全英文课程《应用分析》、《非线性力学》、《高等数理方程》的讲义，获得北京大学出版社及*双语示范建设项目的支持。本书内容简明扼要、讲述清晰深入，能够帮助读者快速建立对应用分析这一方向的认识。本书以英文写就，作者对英文的运用非常熟练，行文通达晓畅，对于想提高专业英语水平的本科生或研究生来说尤其有帮助。 
Product Details

编辑推荐
《工程科学中的应用分析》是作者自1998年以来，先后7次在北京大学力学系和工学院开设全英文课程《应用分析》、《非线性力学》、《高等数理方程》的讲义，获得北京大学出版社及*双语示范建设项目的支持。本书内容简明扼要、讲述清晰深入，能够帮助读者快速建立对应用分析这一方向的认识。本书以英文写就，作者对英文的运用非常熟练，行文通达晓畅，对于想提高专业英语水平的本科生或研究生来说尤其有帮助。 
内容简介
《工程科学中的应用分析》的读者对象是高年级本科生和研究生，先修基础为微积分、线性代数、常微分方程和数学物理方程。基本出发点包括：

　　一，在物理科学、工程科学等方向的大学数学课程中，即便在理科见长的学校，一般也只讲授线性理论，而绝大多数理工科研究生从事的前沿研究工作都是关于非线性问题的，本课程着眼于填补学生在这方面的需求，针对常微分方程、抛物型方程、椭圆型方程和双曲型方程，侧重讲授其非线性理论与分析方法；

　　二，数学对于物理、力学和其它工程科学，不仅提供了叙述、分析的方法，更重要的是提供了严谨的思维训练和研究范式，在本科高年级和研究生阶段，通过展示数学对于专业课程内容中典型问题（如分岔、激波）的解读，可以帮助学生欣赏严谨性、系统性之美，强化学生的理性思维能力。

　　因此，《工程科学中的应用分析》不求全，不求深，主要通过一些典型的例子（如多方气体欧拉方程组），选择一些比较易懂、易用的方法，讲细讲透。因此，对于椭圆型方程这样有着完整、丰富数学理论但需要很多数学基础的内容，我们只是略讲一点初学者容易理解接受的部分。由于深感泛函分析的重要性，课程中穿插了一些相关内容（赋范线性空间、不动点、变分法、Fredholm择一原理等）。此外，还通过混沌、孤子等重要非线性现象的介绍，激发学生对于非线性问题及相关数学理论方法的兴趣。

作者简介

　　唐少强，1990年从中国科技大学获得数学理学士、无线电电子学工学士，1995年毕业于香港科技大学（数学博士），1997年进入北京大学力学系工作至今。现任北京大学应用物理与技术研究中心副主任、高能量密度物理数值模拟*重点实验室主任。长期讲授本科生、研究生课程《微积分》、《线性代数与几何》、《泛函分析》、《应用分析》、《科学计算》等，2003年和2009年两度被北京大学学生会、研究生会评为北京大学“十佳教师”，2013年入选北京市优秀教师。从事应用数学和计算力学方面的研究，在多尺度计算方法、半导体载流子输运的模型与算法、相变的动力学演化过程等方面完成了一些有意义的工作，发表SCI论文四十余篇，承担973、自然科学基金及其它项目二十余项，2006年入选*新世纪优秀人才培养计划。任中国力学会下属专业委员会、计算物理学会等的委员，以及多个国内国际期刊编委。

目　　录
1 ODE 101.1 Basic notions1.2 Local existence 1.2.1 Normed spaces and fixed point theorem 1.2.2 Applications to ODE system and linear algebraic system 1.3 Critical point 1.4 Plane analysis for the Duffing equation 1.5 Homoclinic orbit and limit cycle 1.6 Stability and Lyapunov function 1.7 Bifurcation 1.8 Chaos: Lorenz equations and logistic map 2 Parabolic Equations 532.1 Introduction: BVP and IBVP, equilibrium 2.2 Dispersion relation, linear and nonlinear stability 2.3 Invariant domain 2.4 Perturbation method 2.5 Traveling waves 2.6 Burgers' equation and Cole-Hopf transform 2.7 Evolutionary Duffing equation 3 Elliptic Equations 853.1 Sobolev spaces 3.2 Variational Formulation 3.3 Neumann boundary value problem 4 Hyperbolic Equations 934.1 Linear advection equation, characteristics method 4.2 Nonlinear hyperbolic equations 4.3 Discontinuities in inviscid Burgers' equation 4.4 Elementary waves in inviscid Burgers' equation 4.5 Wave interactions in inviscid Burgers' equation 4.6 Elementary waves in a polytropic gas 4.7 Riemann problem in a polytropic gas 4.8 Elementary waves in a polytropic ideal gas 4.9 Soliton and inverse scattering transform

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  • Standard Delivery: Most orders are shipped within 3-7 business days. Larger items may utilize LTL shipping for safe handling.

  • Handling Time: We handle shipments on business days (Monday - Friday), with a preparation time of 1-2 days.

  • Additional Charges: Some items require additional shipping charges due to their size, weight, or special handling. These charges are specified on the product pages and are not eligible for shipping discounts.

  • Exclusions: Gift cards, packaging, taxes, and prior purchases do not count toward the minimum purchase requirement for free shipping. This offer is valid only for shipments to U.S. addresses, including Puerto Rico.

Delivery Details:

  • Estimates: Standard shipping within the US typically takes 3-7 business days. These are estimates and not guarantees.

  • Shipping Restrictions: We ship to all 50 states, Washington, DC, U.S. territories, and APO/FPO/DPO addresses. Shipping options vary based on the delivery address.

  • Remote Areas: Shipments to remote areas may incur additional charges or require pickup from a nearby shipping partner’s location.

Shipping Confirmation:

You will receive a shipping confirmation email with a tracking number as soon as your order is dispatched. If you do not receive this email immediately, please be assured that your items will arrive within the estimated delivery window provided at checkout.

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Please review our return and refund policies below to ensure a smooth transaction process.

Return Policy

  • Duration: You have 30 days from receiving your item to initiate a return.

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  • Shipping Costs: Customers are responsible for return shipping costs.

  • Packaging: Ensure returned items are well-packaged to avoid damage during transit.

  • Tracking: Use a trackable and insured shipping method as we are not liable for items lost or damaged on return.

  • Initiating a Return: Contact us at cs@everymarket.com to start your return. We will provide a return shipping label and instructions upon approval. Returns without prior approval will not be accepted.

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  • Gift cards, prepaid game cards

  • Perishable goods, live insects, some jewelry, some health and personal care items

  • Customized or personalized products

  • Items with special shipping restrictions

Refund Policy

  • Window: Eligible products may be returned within 30 days of delivery for a refund.

  • Refund Method: Refunds are processed to the original payment method or as store credit for items purchased with gift cards.

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Customer Support

Available 24/7 for any questions or assistance needed:

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  • Email: cs@everymarket.com

 

编辑推荐
《工程科学中的应用分析》是作者自1998年以来，先后7次在北京大学力学系和工学院开设全英文课程《应用分析》、《非线性力学》、《高等数理方程》的讲义，获得北京大学出版社及*双语示范建设项目的支持。本书内容简明扼要、讲述清晰深入，能够帮助读者快速建立对应用分析这一方向的认识。本书以英文写就，作者对英文的运用非常熟练，行文通达晓畅，对于想提高专业英语水平的本科生或研究生来说尤其有帮助。 
内容简介
《工程科学中的应用分析》的读者对象是高年级本科生和研究生，先修基础为微积分、线性代数、常微分方程和数学物理方程。基本出发点包括：

　　一，在物理科学、工程科学等方向的大学数学课程中，即便在理科见长的学校，一般也只讲授线性理论，而绝大多数理工科研究生从事的前沿研究工作都是关于非线性问题的，本课程着眼于填补学生在这方面的需求，针对常微分方程、抛物型方程、椭圆型方程和双曲型方程，侧重讲授其非线性理论与分析方法；

　　二，数学对于物理、力学和其它工程科学，不仅提供了叙述、分析的方法，更重要的是提供了严谨的思维训练和研究范式，在本科高年级和研究生阶段，通过展示数学对于专业课程内容中典型问题（如分岔、激波）的解读，可以帮助学生欣赏严谨性、系统性之美，强化学生的理性思维能力。

　　因此，《工程科学中的应用分析》不求全，不求深，主要通过一些典型的例子（如多方气体欧拉方程组），选择一些比较易懂、易用的方法，讲细讲透。因此，对于椭圆型方程这样有着完整、丰富数学理论但需要很多数学基础的内容，我们只是略讲一点初学者容易理解接受的部分。由于深感泛函分析的重要性，课程中穿插了一些相关内容（赋范线性空间、不动点、变分法、Fredholm择一原理等）。此外，还通过混沌、孤子等重要非线性现象的介绍，激发学生对于非线性问题及相关数学理论方法的兴趣。

作者简介

　　唐少强，1990年从中国科技大学获得数学理学士、无线电电子学工学士，1995年毕业于香港科技大学（数学博士），1997年进入北京大学力学系工作至今。现任北京大学应用物理与技术研究中心副主任、高能量密度物理数值模拟*重点实验室主任。长期讲授本科生、研究生课程《微积分》、《线性代数与几何》、《泛函分析》、《应用分析》、《科学计算》等，2003年和2009年两度被北京大学学生会、研究生会评为北京大学“十佳教师”，2013年入选北京市优秀教师。从事应用数学和计算力学方面的研究，在多尺度计算方法、半导体载流子输运的模型与算法、相变的动力学演化过程等方面完成了一些有意义的工作，发表SCI论文四十余篇，承担973、自然科学基金及其它项目二十余项，2006年入选*新世纪优秀人才培养计划。任中国力学会下属专业委员会、计算物理学会等的委员，以及多个国内国际期刊编委。

目　　录
1 ODE 101.1 Basic notions1.2 Local existence 1.2.1 Normed spaces and fixed point theorem 1.2.2 Applications to ODE system and linear algebraic system 1.3 Critical point 1.4 Plane analysis for the Duffing equation 1.5 Homoclinic orbit and limit cycle 1.6 Stability and Lyapunov function 1.7 Bifurcation 1.8 Chaos: Lorenz equations and logistic map 2 Parabolic Equations 532.1 Introduction: BVP and IBVP, equilibrium 2.2 Dispersion relation, linear and nonlinear stability 2.3 Invariant domain 2.4 Perturbation method 2.5 Traveling waves 2.6 Burgers' equation and Cole-Hopf transform 2.7 Evolutionary Duffing equation 3 Elliptic Equations 853.1 Sobolev spaces 3.2 Variational Formulation 3.3 Neumann boundary value problem 4 Hyperbolic Equations 934.1 Linear advection equation, characteristics method 4.2 Nonlinear hyperbolic equations 4.3 Discontinuities in inviscid Burgers' equation 4.4 Elementary waves in inviscid Burgers' equation 4.5 Wave interactions in inviscid Burgers' equation 4.6 Elementary waves in a polytropic gas 4.7 Riemann problem in a polytropic gas 4.8 Elementary waves in a polytropic ideal gas 4.9 Soliton and inverse scattering transform

Shipping Overview: 

• Shipping: Standard Domestic Shipping within the United States charges USD 4.99. Standard International Shipping from United Kingdom, Germany and Japan to the United States charges 14.99. 

• Order Processing: Please allow 1-2 business days for order processing and preparation before shipment. 

• Domestic Shipping: Orders within the U.S. are shipped via USPS or FedEx, depending on the origin of the product. The average transit time is 3-7 business days. 

• International Shipping: Currently, we only ship within the USA. 

• Tracking Information: Every order is trackable. You will receive a tracking number once your order has been shipped. Products may be shipped from various global fulfillment centers.

Shipping Delays: 

Please note that shipping times may vary due to factors beyond our control, such as weather conditions, natural disasters, or peak holiday periods. While we strive to ensure timely delivery, the exact arrival time cannot be guaranteed and is managed by the shipping carrier.

Shipping Options:

  • Standard Delivery: Most orders are shipped within 3-7 business days. Larger items may utilize LTL shipping for safe handling.

  • Handling Time: We handle shipments on business days (Monday - Friday), with a preparation time of 1-2 days.

  • Additional Charges: Some items require additional shipping charges due to their size, weight, or special handling. These charges are specified on the product pages and are not eligible for shipping discounts.

  • Exclusions: Gift cards, packaging, taxes, and prior purchases do not count toward the minimum purchase requirement for free shipping. This offer is valid only for shipments to U.S. addresses, including Puerto Rico.

Delivery Details:

  • Estimates: Standard shipping within the US typically takes 3-7 business days. These are estimates and not guarantees.

  • Shipping Restrictions: We ship to all 50 states, Washington, DC, U.S. territories, and APO/FPO/DPO addresses. Shipping options vary based on the delivery address.

  • Remote Areas: Shipments to remote areas may incur additional charges or require pickup from a nearby shipping partner’s location.

Shipping Confirmation:

You will receive a shipping confirmation email with a tracking number as soon as your order is dispatched. If you do not receive this email immediately, please be assured that your items will arrive within the estimated delivery window provided at checkout.

Order Modifications:

If you need to cancel or modify your order, please contact our customer support immediately.

Issues with Delivery:

If your order shows as delivered but you have not received it, please contact the shipping carrier directly to resolve the issue. For persistent problems, contact our customer service at cs@everymarket.com.

Customer Support:

Our team is available 24/7 to assist you with any questions or concerns regarding your order. We are committed to ensuring a smooth shopping experience.

Return & Refund Policy Overview

Please review our return and refund policies below to ensure a smooth transaction process.

Return Policy

  • Duration: You have 30 days from receiving your item to initiate a return.

  • Condition: Items must be unworn, unwashed, with original tags and packaging intact.

  • Shipping Costs: Customers are responsible for return shipping costs.

  • Packaging: Ensure returned items are well-packaged to avoid damage during transit.

  • Tracking: Use a trackable and insured shipping method as we are not liable for items lost or damaged on return.

  • Initiating a Return: Contact us at cs@everymarket.com to start your return. We will provide a return shipping label and instructions upon approval. Returns without prior approval will not be accepted.

How to Return

  • Method: Returns must be sent back by mail to the address provided in the return instructions.

Return Label

  • Defective Products: Return labels are provided for defective items.

  • Non-Defective Returns: Customers are responsible for obtaining their return shipping label.

Product Conditions for Return

  • Eligible Products: Returns are only accepted for items in new condition.

Nonreturnable Items

Certain items are not eligible for return:

  • Electronic devices after 30 days (e.g., computers, laptops, Kindles)

  • Gift cards, prepaid game cards

  • Perishable goods, live insects, some jewelry, some health and personal care items

  • Customized or personalized products

  • Items with special shipping restrictions

Refund Policy

  • Window: Eligible products may be returned within 30 days of delivery for a refund.

  • Refund Method: Refunds are processed to the original payment method or as store credit for items purchased with gift cards.

  • Processing Time: Refunds are processed within 3-5 business days after we receive the return; please allow additional time for shipping and bank processing.

Claims

Inspect your order upon arrival and report any defects, damages, or incorrect items immediately to allow us to address the issue. For claims, contact our support team with details of the issue.

Exchange Policy

For the quickest service, return your original item and place a new order for the desired product once your return is accepted.

Return Address

EveryMarket Customer Service 2101 E Terra Ln, O'Fallon, MO 63366

Customer Support

Available 24/7 for any questions or assistance needed:

  • Phone: +1 636-312-5925

  • Email: cs@everymarket.com

 

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