{{sellerTotalView > 1 ? __("sellers", {number: sellerTotalView}) : __("seller", {number: sellerTotalView}) }}, {{numTotalView > 1 ? __("items", {number: numTotalView}) : __("item", {number: numTotalView}) }}
free FREE

Change Your Zip Code

Inventory information and delivery speeds may vary for different locations.

Location History

{{email ? __('Got it!') : __('Restock Alert')}}

We will notify you by email when the item back in stock.

Cancel
Yami

Jingdong book

程序员的数学3 线性代数

{{buttonTypePin == 3 ? __("Scan to view more PinGo") : __("Scan to start")}}

程序员的数学3 线性代数

{{__(":people-members", {'people': item.limit_people_count})}} {{ itemCurrency }}{{ item.valid_price }} {{ itemCurrency }}{{ item.invalid_price }} {{ itemDiscount }}
Ends in
{{ itemCurrency }}{{ item.valid_price }}
{{ itemCurrency }}{{ priceFormat(item.valid_price / item.bundle_specification) }}/{{ item.unit }}
{{ itemDiscount }}
{{ itemCurrency }}{{ item.valid_price }} {{ itemCurrency }}{{ priceFormat(item.valid_price / item.bundle_specification) }}/{{ item.unit }} {{ itemCurrency }}{{ item.invalid_price }} {{itemDiscount}}
{{ itemCurrency }}{{ item.valid_price }}
Sale ends in
Sale will starts after Sale ends in
{{ getSeckillDesc(item.seckill_data) }}
{{ __( "Pay with Gift Card to get sale price: :itemCurrency:price", { 'itemCurrency' : itemCurrency, 'price' : (item.giftcard_price ? priceFormat(item.giftcard_price) : '0.00') } ) }} ({{ itemCurrency }}{{ priceFormat(item.giftcard_price / item.bundle_specification) }}/{{ item.unit }}) Details
Best before

Currently unavailable.

We don't know when or if this item will be back in stock.

Unavailable in your area.
Sold Out

Details

Full product details
Editer Recommend

畅销书《程序员的数学》第3弹!
机器学习、数据挖掘、模式识别基础知识
1. 图文直观
配合精心制作的示意图和动画,让你读起来不累
2. 重在应用
不再为了数学而讲数学,让你知道数学真正有用的一面
3. 透彻深入
直接从本质意义出发解释核心概念,让你“快速直达”数值代数领域
4. 通俗易懂
用浅显的语言逐步解释,让你打心底里认为“推出这样的结果是理所当然的”
Content Description

本书沿袭“程序员的数学”系列平易近人的风格,用通俗的语言和具象的图表深入讲解了编程中所需的线性代数知识。内容包括向量、矩阵、行列式、秩、逆矩阵、线性方程、LU分解、特征值、对角化、Jordan标准型、特征值算法等。
Author Description

平冈和幸(作者),
专攻应用数学和物理,对机器学习兴趣浓厚。喜欢Ruby,热爱Scheme。被Common Lisp吸引,正在潜心研究。工学博士。

堀玄(作者),
专攻应用数学和物理,主要从事脑科学与信号处理领域的研究。喜欢Ruby、JavaScript、PostScript等语言。正在研究基于统计学理论的语言处理。工学博士。

卢晓南(译者),
曾就读于西安交通大学少年班和数学系信息与计算科学专业。从大学时代起对计算机算法产生浓厚兴趣,并曾负责校BBS系统开发和维护。从事程序开发工作多年直到赴日留学。目前在名古屋大学攻读博士学位。主要研究方向为组合数学及其在信息科学、计算机科学、统计学、生物信息学中的应用。
Catalogue

第0章动机 1
0.1空间想象给我们带来的直观感受 1
0.2有效利用线性近似的手段 2
第1章用空间的语言表达向量、矩阵和行列式 5
1.1向量与空间 5
1.1.1最直接的定义:把数值罗列起来就是向量 6
1.1.2“空间”的形象 9
1.1.3基底 11
1.1.4构成基底的条件 16
1.1.5维数 18
1.1.6坐标 19
1.2矩阵和映射 19
1.2.1暂时的定义 19
1.2.2用矩阵来表达各种关系(1) 24
1.2.3矩阵就是映射! 25
1.2.4矩阵的乘积=映射的合成 28
1.2.5矩阵运算的性质 31
1.2.6矩阵的乘方=映射的迭代 35
1.2.7零矩阵、单位矩阵、对角矩阵 37
1.2.8逆矩阵=逆映射 44
1.2.9分块矩阵 47
1.2.10用矩阵表示各种关系(2) 53
1.2.11坐标变换与矩阵 55
1.2.12转置矩阵=??? 63
1.2.13补充(1):时刻注意矩阵规模 64
1.2.14补充(2):从矩阵的元素的角度看 67
1.3行列式与扩大率 68
1.3.1行列式=体积扩大率 68
1.3.2行列式的性质 73
1.3.3行列式的计算方法(1):计算公式▽ 80
1.3.4行列式的计算方法(2):笔算法▽ 87
1.3.5补充:行列式按行(列)展开与逆矩阵▽ 91
第2章秩、逆矩阵、线性方程组——溯因推理 95
2.1问题设定:逆问题 95
2.2良性问题(可逆矩阵) 97
2.2.1可逆性与逆矩阵 97
2.2.2线性方程组的解法(系数矩阵可逆的情况)▽ 97
2.2.3逆矩阵的计算方法▽ 107
2.2.4初等变换▽ 110
2.3恶性问题 115
2.3.1恶性问题示例 115
2.3.2问题的恶劣程度——核与像 120
2.3.3维数定理 122
2.3.4用式子表示“压缩扁平化”变换(线性无关、线性相关) 126
2.3.5线索的实际个数(秩) 130
2.3.6秩的求解方法(1)——悉心观察 137
2.3.7秩的求解方法(2)——笔算 142
2.4良性恶性的判定(逆矩阵存在的条件) 149
2.4.1重点是“是不是压缩扁平化映射” 149
2.4.2与可逆性等价的条件 150
2.4.3关于可逆性的小结 151
2.5针对恶性问题的对策 152
2.5.1求出所有能求的结果(1)理论篇 152
2.5.2求出所有能求的结果(2)实践篇 155
2.5.3最小二乘法 166
2.6现实中的恶性问题(接近奇异的矩阵) 167
2.6.1问题源于哪里 167
2.6.2对策示例——提克洛夫规范化 170
第3章计算机上的计算(1)——LU 分解 173
3.1引言 173
3.1.1切莫小看数值计算 173
3.1.2关于本书中的程序 174
3.2热身:加减乘运算 174
3.3LU分解 176
3.3.1定义 176
3.3.2分解能带来什么好处 178
3.3.3LU分解真的可以做到吗 178
3.3.4LU分解的运算量如何 180
3.4LU分解的步骤(1)一般情况 182
3.5利用LU分解求行列式值 186
3.6利用LU分解求解线性方程组 187
3.7利用LU分解求逆矩阵 191
3.8LU分解的步骤(2)意外发生的情况 192
3.8.1需要整理顺序的情况 192
3.8.2重新整理顺序也无济于事的状况 196
第4章特征值、对角化、Jordan标准型——判断是否有失控的危险 197
4.1问题的提出:稳定性 197
4.2一维的情况 202
4.3对角矩阵的情况 203
4.4可对角化的情况 205
4.4.1变量替换 205
4.4.2变量替换的求法 213
4.4.3从坐标变换的角度来解释 215
4.4.4从乘方的角度来解释 219
4.4.5结论:关键取决于特征值的绝对值 220
4.5特征值、特征向量 220
4.5.1几何学意义 220
4.5.2特征值、特征向量的性质 225
4.5.3特征值的计算:特征方程 232
4.5.4特征向量的计算▽ 240
4.6连续时间系统 246
4.6.1微分方程 247
4.6.2一阶情况 250
4.6.3对角矩阵的情况 250
4.6.4可对角化的情况 252
4.6.5结论:特征值(的实部)的符号是关键 252
4.7不可对角化的情况 255
4.7.1首先给出结论 255
4.7.2就算不能对角化——Jordan标准型 256
4.7.3Jordan标准型的性质 257
4.7.4利用Jordan标准型解决初始值问题(失控判定的最终结论) 264
4.7.5化Jordan标准型的方法 271
4.7.6任何方阵均可化为Jordan标准型的证明 279
第5章计算机上的计算(2)——特征值算法 299
5.1概要 299
5.1.1和笔算的不同之处 299
5.1.2伽罗华理论 300
5.1.35×5以上的矩阵的特征值不存在通用的求解步骤! 302
5.1.4有代表性的特征值数值算法 303
5.2Jacobi方法 303
5.2.1平面旋转 304
5.2.2通过平面旋转进行相似变换 306
5.2.3计算过程的优化 309
5.3幂法原理 310
5.3.1求绝对值最大的特征值 310
5.3.2求绝对值最小的特征值 311
5.3.3QR分解 312
5.3.4求所有特征值 316
5.4QR方法 318
5.4.1QR方法的原理 319
5.4.2Hessenberg矩阵 321
5.4.3Householder方法 322
5.4.4Hessenberg矩阵的QR迭代 325
5.4.5原点位移、降阶 327
5.4.6对称矩阵的情况 327
5.5反幂法 328
附录A希腊字母表 330
附录B复数 331
附录C关于基底的补充说明 336
附录D微分方程的解法 341
D.1dx/dt = f(x) 型 341
D.2dx/dt = ax + g(t) 型 342
附录E内积、对称矩阵、正交矩阵 346
E.1内积空间 346
E.1.1模长 346
E.1.2正交 347
E.1.3内积 347
E.1.4标准正交基 349
E.1.5转置矩阵 351
E.1.6复内积空间 351
E.2对称矩阵与正交矩阵——实矩阵的情况 352
E.3埃尔米特矩阵与酉矩阵——复矩阵的情况 353
附录F动画演示程序的使用方法 354
F.1执行结果 354
F.2准备工作 354
F.3使用方法 355
参考文献 357

Specifications

Brand Jingdong book
Brand Origin China

Disclaimer

Product packaging, specifications and price are subject to change without notice. All information about the products on our website is provided for information purposes only. Please always read labels, warnings and directions provided with the product before use.

View Full Terms of Use
Add to favorites
{{ $isZh ? coupon.coupon_name_sub : coupon.coupon_ename_sub | formatCurrency }}
{{__("Buy Directly")}} {{ itemCurrency }}{{ item.directly_price }}
Quantity
{{ quantity }}
{{ instockMsg }}
{{ limitText }}
{{buttonTypePin == 3 ? __("Scan to view more PinGo") : __("Scan to start")}}
Sold by JD@CHINA
Ship to
{{ __("Ship to United States only") }}
Free shipping over 69
Genuine guarantee

Added to Cart

Keep Shopping

More to Consider

{{ item.brand_name }}

{{ item.item_name }}

{{ item.currency }}{{ item.market_price }}

{{ item.currency }}{{ item.unit_price }}

{{ item.currency }}{{ item.unit_price }}

Coupons

{{ coupon.coupon_name_new | formatCurrency }}
Clip Clipped Over
{{ getCouponDescStr(coupon) }}
{{ coupon.use_time_desc }}
Expires soon {{ formatTime(coupon.use_end_time) }}

Share this item with friends

Cancel

Yami Gift Card

Get this exclusive deal when paying with gift card

Terms and Conditions

Gift card deals are special offers for selected products;

The gift card deals will automatically be activated if a customer uses gift card balance at check out and the balance is sufficient to pay for the total price of the shopping cart products with gift card deals;

You will not be able to activate the gift card deals if you choose other payment methods besides gift card. The products will be purchased at their normal prices;

If your account balance is not enough to pay for the products with gift card deals, you can choose to reload your gift card balance by clicking on the Reload button at either shopping cart page or check out page;

Products that have gift card deals can be recognized by a special symbol showing 'GC Deal';

For any additional questions or concerns, please contact our customer service;

Yamibuy reserves the right of final interpretation.

Sold by Yami

Service Guarantee

Yami Free Shipping over $49
Yami Easy Returns
Yami Ships from United States

Shipping

  • United States

    Standard Shipping is $5.99 (Excluding Alaska & Hawaii). Free on orders of $49 or more.

    Local Express is $5.99 (Available in Parts of CA, NJ, MA & PA). Free on orders of $49 or more.

    2-Day Express (Includes Alaska & Hawaii) starts at $19.99.

Return Policy

Yami is committed to provide our customers with a peace of mind when purchasing from us. Most items shipped from Yamibuy.com can be returned within 30 days of receipt of shipment (For Food, Beverages, Snacks, Dry Goods, Health supplements, Fresh Grocery and Perishables Goods, within 7 days of receipt of shipment due to damages or quality issues; To ensure that every customer receives safe and high-quality products, we do not provide refunds or returns for beauty products once they have been opened or used, except in the case of quality issues; Some products may have different policies or requirements associated with them, please see below for products under special categories, or contact Yami Customer Service for further assistance).
Thank you for your understanding and support.

Learn More

Sold by Yami

Terms and Conditions of Yami E-Gift Card

If you choose “Redeem automatically” as your delivery method, your gift card balance will be reload automatically after your order has been processed successfully;

If you choose “Send to Email”as your delivery method, the card number and CVV will be sent to the email address automatically;

Any user can use the card number and CVV to redeem the gift card, please keep your gift card information safely. If you have any trouble receiving email, please contact Yami customer service;

Yami gift card can be used to purchase both Yami owned or Marketplace products;

Yami gift card will never expire;

Yami gift card balance does not have to be used up at once;

All rights reserved by Yami.

Return Policy

Gift card that has already been consumed is non-refundable.

Sold by JD@CHINA

Service Guarantee

Yami Free Shipping over $49
Yami Easy Returns
Yami Ships from United States

Shipping

  • United States

    Standard Shipping is $5.99 (Excluding Alaska & Hawaii). Free on orders of $49 or more.

    Local Express is $5.99 (Available in Parts of CA, NJ, MA & PA). Free on orders of $49 or more.

    2-Day Express (Includes Alaska & Hawaii) starts at $19.99.

Return Policy

You may return product within 30 days upon receiving the product. Items returned must be new in it's original packing, including the original invoice for the purchase. Customer return product at their own expense.

Sold by JD@CHINA

Service Guarantee

Yami Cross-store Free Shipping over $69
Yami 30-days Return

Yami-China FC

Yami has a consolidation warehouse in China which collects multiple sellers’ packages and combines to one order. Our Yami consolidation warehouse will directly ship the packages to your door. Cross-store free shipping over $69.

Return Policy

You may return products within 30 days upon receiving the products. Sellers take responsibilities for any wrong shipment or missing items. Packing needs to be unopened for any other than quality issues return. We promise to pack carefully, but because goods are taking long journey to destinations, simple damages to packaging may occur. Any damages not causing internal goods quality problems are not allowed to return. If you open the package and any quality problem is found, please contact customer service within three days after receipt of goods.

Shipping Information

Yami Consolidation Service Shipping Fee $9.99(Free shipping over $69)

Sellers in China will ship their orders within 1-2 business days once the order is placed. Packages are sent to our consolidation warehouse in China and combined there. Our Yami consolidation warehouse will directly ship the packages to you via UPS. The average time for UPS to ship from China to the United States is about 10 working days and it can be traced using the tracking number. Due to the pandemic, the delivery time may be delayed by about 5 days. The package needs to be signed by the guest. If the receipt is not signed, the customer shall bear the risk of loss of the package.

Sold by JD@CHINA

Service Guarantee

Free shipping over 69
Genuine guarantee

Shipping

Yami Consolidated Shipping $9.99(Free shipping over $69)


Seller will ship the orders within 1-2 business days. The logistics time limit is expected to be 7-15 working days. In case of customs clearance, the delivery time will be extended by 3-7 days. The final receipt date is subject to the information of the postal company.

Yami Points information

All items are excluding from any promotion or points events on Yamibuy.com

Return Policy

You may return product within 30 days upon receiving the product. Items returned must be new in it's original packing, including the original invoice for the purchase. Customer return product at their own expense.

Yami

Download the Yami App

Back Top

Recommended for You

About the brand

Jingdong book

为您推荐

Yami
欣葉
2种选择
欣叶 御大福 芋头麻薯 180g

周销量 600+

$1.66 $1.99 83折
Yami
欣葉
2种选择
欣叶 御大福 芋头麻薯 180g

周销量 600+

$1.66 $1.99 83折
Yami
欣葉
2种选择
欣叶 御大福 芋头麻薯 180g

周销量 600+

$1.66 $1.99 83折
Yami
欣葉
2种选择
欣叶 御大福 芋头麻薯 180g

周销量 600+

$1.66 $1.99 83折
Yami
欣葉
2种选择
欣叶 御大福 芋头麻薯 180g

周销量 600+

$1.66 $1.99 83折
Yami
欣葉
2种选择
欣叶 御大福 芋头麻薯 180g

周销量 600+

$1.66 $1.99 83折

Reviews{{'('+ commentList.posts_count + ')'}}

Have your say. Be the first to help other guests.

Write a review
{{ totalRating }} Write a review
  • {{i}} star

    {{i}} stars

    {{ parseInt(commentRatingList[i]) }}%

Yami Yami
{{ comment.user_name }}

{{ showTranslate(comment) }}Show Less

{{ strLimit(comment,800) }}Show more

Show Original

{{ comment.content }}

Yami
Show All

{{ formatTime(comment.in_dtm) }} VERIFIED PURCHASE {{groupData}}

{{ comment.likes_count }} {{ comment.likes_count }} {{ comment.reply_count }} {{comment.in_user==uid ? __('Delete') : __('Report')}}
Yami Yami
{{ comment.user_name }}

{{ showTranslate(comment) }}Show Less

{{ strLimit(comment,800) }}Show more

Show Original

{{ comment.content }}

Yami
Show All

{{ formatTime(comment.in_dtm) }} VERIFIED PURCHASE {{groupData}}

{{ comment.likes_count }} {{ comment.likes_count }} {{ comment.reply_count }} {{comment.in_user==uid ? __('Delete') : __('Report')}}

No related comment~

Review

Yami Yami

{{ showTranslate(commentDetails) }}Show Less

{{ strLimit(commentDetails,800) }}Show more

Show Original

{{ commentDetails.content }}

Yami
Show All

{{ formatTime(commentDetails.in_dtm) }} VERIFIED PURCHASE {{groupData}}

{{ commentDetails.likes_count }} {{ commentDetails.likes_count }} {{ commentDetails.reply_count }} {{commentDetails.in_user==uid ? __('Delete') : __('Report')}}

Please write at least one word

Comments{{'(' + replyList.length + ')'}}

Yami Yami

{{ showTranslate(reply) }}Show Less

{{ strLimit(reply,800) }}Show more

Show Original

{{ reply.reply_content }}

{{ formatTime(reply.reply_in_dtm) }}

{{ reply.reply_likes_count }} {{ reply.reply_likes_count }} {{ reply.reply_reply_count }} {{reply.reply_in_user==uid ? __('Delete') : __('Report')}}

Please write at least one word

Cancel

That’s all the comments so far!

Write a review
How would you rate this item?

Please add your comment.

  • A nice nickname will make your comments more popular!
  • The nickname in your account will be changed to the same as here.
Thanks for your review
Our community rely on great reviews like yours to find the best of Asia.

Report

If you find this content inappropriate and think it should be removed from the Yami.com site, let us know please.

Cancel

Are you sure to delete your review?

Cancel

You’ve Recently Viewed

About the brand

Jingdong book